lib/tests/sample_questions_wrong.xml

   1 <?xml version="1.0" encoding="UTF-8"?>
   2 <quiz>
   3 <!-- question: 0  -->
   4   <question type="category">
   5     <category>
   6         <text>$course$/Default for Scratch/input_samples</text>
   7     </category>
   8   </question>
   9
  10 <!-- question: 1  -->
  11   <question type="stack">
  12     <name>
  13       <text>Algebraic input</text>
  14     </name>
  15     <questiontext format="html">
  16       <text><![CDATA[<p>Type in {@ta@}.<br></p><p>[[input:ans1]]</p><div>[[validation:ans1]]</div>]]></text>
  17       <text></text>
  18     </generalfeedback>
  19     <defaultgrade>1.0000000</defaultgrade>
  20     <penalty>0.1000000</penalty>
  21     <hidden>0</hidden>
  22     <questionvariables>
  23       <text>ta:a*b</text>
  24     </questionvariables>
  25     <specificfeedback format="html">
  26       <text>[[feedback:prt1]]</text>
  27     </specificfeedback>
  28     <questionnote>
  29       <text></text>
  30     </questionnote>
  31     <questionsimplify>1</questionsimplify>
  32     <assumepositive>0</assumepositive>
  33     <assumereal>0</assumereal>
  34     <prtcorrect format="html">
  35       <text>Correct answer, well done.</text>
  36     </prtcorrect>
  37     <prtpartiallycorrect format="html">
  38       <text>Your answer is partially correct.</text>
  39     </prtpartiallycorrect>
  40     <prtincorrect format="html">
  41       <text>Incorrect answer.</text>
  42     </prtincorrect>
  43     <multiplicationsign>dot</multiplicationsign>
  44     <sqrtsign>1</sqrtsign>
  45     <complexno>i</complexno>
  46     <inversetrig>cos-1</inversetrig>
  47     <matrixparens>[</matrixparens>
  48     <variantsselectionseed></variantsselectionseed>
  49     <input>
  50       <name>ans1</name>
  51       <type>algebraic</type>
  52       <tans>ta</tans>
  53       <boxsize>15</boxsize>
  54       <strictsyntax>1</strictsyntax>
  55       <insertstars>2</insertstars>
  56       <syntaxhint></syntaxhint>
  57       <syntaxattribute>0</syntaxattribute>
  58       <forbidwords>solve</forbidwords>
  59       <allowwords></allowwords>
  60       <forbidfloat>1</forbidfloat>
  61       <requirelowestterms>0</requirelowestterms>
  62       <checkanswertype>1</checkanswertype>
  63       <mustverify>1</mustverify>
  64       <showvalidation>1</showvalidation>
  65       <options></options>
  66     </input>
  67     <prt>
  68       <name>prt1</name>
  69       <value>1.0000000</value>
  70       <autosimplify>1</autosimplify>
  71       <feedbackvariables>
  72         <text></text>
  73       </feedbackvariables>
  74       <node>
  75         <name>0</name>
  76         <answertest>AlgEquiv</answertest>
  77         <sans>ans1</sans>
  78         <tans>ta</tans>
  79         <testoptions></testoptions>
  80         <quiet>0</quiet>
  81         <truescoremode>=</truescoremode>
  82         <truescore>1.0000000</truescore>
  83         <truepenalty></truepenalty>
  84         <truenextnode>-1</truenextnode>
  85         <trueanswernote>prt1-1-T</trueanswernote>
  86         <truefeedback format="html">
  87           <text></text>
  88         </truefeedback>
  89         <falsescoremode>=</falsescoremode>
  90         <falsescore>0.0000000</falsescore>
  91         <falsepenalty></falsepenalty>
  92         <falsenextnode>-1</falsenextnode>
  93         <falseanswernote>prt1-1-F</falseanswernote>
  94         <falsefeedback format="html">
  95           <text></text>
  96         </falsefeedback>
  97       </node>
  98     </prt>
  99   </question>
 100
 101 <!-- question: 2  -->
 102   <question type="stack">
 103     <name>
 104       <text>Algebraic input (answer box sizes test)</text>
 105     </name>
 106     <questiontext format="html">
 107       <text><![CDATA[<p>This question just tests answer boxes of multiple sizes.</p><p>[[input:ans1]] [[validation:ans1]]</p><p>[[input:ans2]] [[validation:ans2]]</p><p>[[input:ans3]] [[validation:ans3]]</p><p>[[input:ans4]] [[validation:ans4]]</p><p>[[input:ans5]] [[validation:ans5]]</p><p>[[input:ans7]] [[validation:ans7]]</p><p>[[input:ans10]] [[validation:ans10]]</p><p>[[input:ans15]] [[validation:ans15]]</p><p>[[input:ans20]] [[validation:ans20]]</p><p><br></p><p><br></p><p><br></p><p><br></p><p><br></p><p><br></p><p><br></p>]]></text>
 108     </questiontext>
 109     <generalfeedback format="html">
 110       <text></text>
 111     </generalfeedback>
 112     <defaultgrade>1.0000000</defaultgrade>
 113     <penalty>0.1000000</penalty>
 114     <hidden>0</hidden>
 115     <questionvariables>
 116       <text></text>
 117     </questionvariables>
 118     <specificfeedback format="html">
 119       <text>[[feedback:prt1]]</text>
 120     </specificfeedback>
 121     <questionnote>
 122       <text></text>
 123     </questionnote>
 124     <questionsimplify>1</questionsimplify>
 125     <assumepositive>0</assumepositive>
 126     <assumereal>0</assumereal>
 127     <prtcorrect format="html">
 128       <text>Correct answer, well done.</text>
 129     </prtcorrect>
 130     <prtpartiallycorrect format="html">
 131       <text>Your answer is partially correct.</text>
 132     </prtpartiallycorrect>
 133     <prtincorrect format="html">
 134       <text>Incorrect answer.</text>
 135     </prtincorrect>
 136     <multiplicationsign>dot</multiplicationsign>
 137     <sqrtsign>1</sqrtsign>
 138     <complexno>i</complexno>
 139     <inversetrig>cos-1</inversetrig>
 140     <matrixparens>[</matrixparens>
 141     <variantsselectionseed></variantsselectionseed>
 142     <input>
 143       <name>ans1</name>
 144       <type>algebraic</type>
 145       <tans>2</tans>
 146       <boxsize>1</boxsize>
 147       <strictsyntax>1</strictsyntax>
 148       <insertstars>0</insertstars>
 149       <syntaxhint>2</syntaxhint>
 150       <syntaxattribute>0</syntaxattribute>
 151       <forbidwords></forbidwords>
 152       <allowwords></allowwords>
 153       <forbidfloat>1</forbidfloat>
 154       <requirelowestterms>0</requirelowestterms>
 155       <checkanswertype>0</checkanswertype>
 156       <mustverify>1</mustverify>
 157       <showvalidation>1</showvalidation>
 158       <options></options>
 159     </input>
 160     <input>
 161       <name>ans10</name>
 162       <type>algebraic</type>
 163       <tans>2</tans>
 164       <boxsize>10</boxsize>
 165       <strictsyntax>1</strictsyntax>
 166       <insertstars>0</insertstars>
 167       <syntaxhint>2222222222</syntaxhint>
 168       <syntaxattribute>0</syntaxattribute>
 169       <forbidwords></forbidwords>
 170       <allowwords></allowwords>
 171       <forbidfloat>1</forbidfloat>
 172       <requirelowestterms>0</requirelowestterms>
 173       <checkanswertype>0</checkanswertype>
 174       <mustverify>1</mustverify>
 175       <showvalidation>1</showvalidation>
 176       <options></options>
 177     </input>
 178     <input>
 179       <name>ans15</name>
 180       <type>algebraic</type>
 181       <tans>2</tans>
 182       <boxsize>15</boxsize>
 183       <strictsyntax>1</strictsyntax>
 184       <insertstars>0</insertstars>
 185       <syntaxhint>222222222222222</syntaxhint>
 186       <syntaxattribute>0</syntaxattribute>
 187       <forbidwords></forbidwords>
 188       <allowwords></allowwords>
 189       <forbidfloat>1</forbidfloat>
 190       <requirelowestterms>0</requirelowestterms>
 191       <checkanswertype>0</checkanswertype>
 192       <mustverify>1</mustverify>
 193       <showvalidation>1</showvalidation>
 194       <options></options>
 195     </input>
 196     <input>
 197       <name>ans2</name>
 198       <type>algebraic</type>
 199       <tans>2</tans>
 200       <boxsize>2</boxsize>
 201       <strictsyntax>1</strictsyntax>
 202       <insertstars>0</insertstars>
 203       <syntaxhint>22</syntaxhint>
 204       <syntaxattribute>0</syntaxattribute>
 205       <forbidwords></forbidwords>
 206       <allowwords></allowwords>
 207       <forbidfloat>1</forbidfloat>
 208       <requirelowestterms>0</requirelowestterms>
 209       <checkanswertype>0</checkanswertype>
 210       <mustverify>1</mustverify>
 211       <showvalidation>1</showvalidation>
 212       <options></options>
 213     </input>
 214     <input>
 215       <name>ans20</name>
 216       <type>algebraic</type>
 217       <tans>2</tans>
 218       <boxsize>20</boxsize>
 219       <strictsyntax>1</strictsyntax>
 220       <insertstars>0</insertstars>
 221       <syntaxhint>12345123451234512345</syntaxhint>
 222       <syntaxattribute>0</syntaxattribute>
 223       <forbidwords></forbidwords>
 224       <allowwords></allowwords>
 225       <forbidfloat>1</forbidfloat>
 226       <requirelowestterms>0</requirelowestterms>
 227       <checkanswertype>0</checkanswertype>
 228       <mustverify>1</mustverify>
 229       <showvalidation>1</showvalidation>
 230       <options></options>
 231     </input>
 232     <input>
 233       <name>ans3</name>
 234       <type>algebraic</type>
 235       <tans>2</tans>
 236       <boxsize>3</boxsize>
 237       <strictsyntax>1</strictsyntax>
 238       <insertstars>0</insertstars>
 239       <syntaxhint>222</syntaxhint>
 240       <syntaxattribute>0</syntaxattribute>
 241       <forbidwords></forbidwords>
 242       <allowwords></allowwords>
 243       <forbidfloat>1</forbidfloat>
 244       <requirelowestterms>0</requirelowestterms>
 245       <checkanswertype>0</checkanswertype>
 246       <mustverify>1</mustverify>
 247       <showvalidation>1</showvalidation>
 248       <options></options>
 249     </input>
 250     <input>
 251       <name>ans4</name>
 252       <type>algebraic</type>
 253       <tans>2</tans>
 254       <boxsize>4</boxsize>
 255       <strictsyntax>1</strictsyntax>
 256       <insertstars>0</insertstars>
 257       <syntaxhint>2222</syntaxhint>
 258       <syntaxattribute>0</syntaxattribute>
 259       <forbidwords></forbidwords>
 260       <allowwords></allowwords>
 261       <forbidfloat>1</forbidfloat>
 262       <requirelowestterms>0</requirelowestterms>
 263       <checkanswertype>0</checkanswertype>
 264       <mustverify>1</mustverify>
 265       <showvalidation>1</showvalidation>
 266       <options></options>
 267     </input>
 268     <input>
 269       <name>ans5</name>
 270       <type>algebraic</type>
 271       <tans>2</tans>
 272       <boxsize>5</boxsize>
 273       <strictsyntax>1</strictsyntax>
 274       <insertstars>0</insertstars>
 275       <syntaxhint>22222</syntaxhint>
 276       <syntaxattribute>0</syntaxattribute>
 277       <forbidwords></forbidwords>
 278       <allowwords></allowwords>
 279       <forbidfloat>1</forbidfloat>
 280       <requirelowestterms>0</requirelowestterms>
 281       <checkanswertype>0</checkanswertype>
 282       <mustverify>1</mustverify>
 283       <showvalidation>1</showvalidation>
 284       <options></options>
 285     </input>
 286     <input>
 287       <name>ans7</name>
 288       <type>algebraic</type>
 289       <tans>2</tans>
 290       <boxsize>5</boxsize>
 291       <strictsyntax>1</strictsyntax>
 292       <insertstars>0</insertstars>
 293       <syntaxhint>2222222</syntaxhint>
 294       <syntaxattribute>0</syntaxattribute>
 295       <forbidwords></forbidwords>
 296       <allowwords></allowwords>
 297       <forbidfloat>1</forbidfloat>
 298       <requirelowestterms>0</requirelowestterms>
 299       <checkanswertype>0</checkanswertype>
 300       <mustverify>1</mustverify>
 301       <showvalidation>1</showvalidation>
 302       <options></options>
 303     </input>
 304     <prt>
 305       <name>prt1</name>
 306       <value>1.0000000</value>
 307       <autosimplify>1</autosimplify>
 308       <feedbackvariables>
 309         <text></text>
 310       </feedbackvariables>
 311       <node>
 312         <name>0</name>
 313         <answertest>AlgEquiv</answertest>
 314         <sans>ans1</sans>
 315         <tans>2</tans>
 316         <testoptions></testoptions>
 317         <quiet>0</quiet>
 318         <truescoremode>=</truescoremode>
 319         <truescore>1.0000000</truescore>
 320         <truepenalty></truepenalty>
 321         <truenextnode>-1</truenextnode>
 322         <trueanswernote>prt1-1-T</trueanswernote>
 323         <truefeedback format="html">
 324           <text><![CDATA[<p>This just takes account of the first answer box!</p>]]></text>
 325         </truefeedback>
 326         <falsescoremode>=</falsescoremode>
 327         <falsescore>0.0000000</falsescore>
 328         <falsepenalty></falsepenalty>
 329         <falsenextnode>-1</falsenextnode>
 330         <falseanswernote>prt1-1-F</falseanswernote>
 331         <falsefeedback format="html">
 332           <text><![CDATA[<p>This just takes account of the first answer box!<br></p>]]></text>
 333         </falsefeedback>
 334       </node>
 335     </prt>
 336   </question>
 337
 338 <!-- question: 3  -->
 339   <question type="stack">
 340     <name>
 341       <text>Checkbox</text>
 342     </name>
 343     <questiontext format="html">
 344       <text><![CDATA[<p>Differentiate {@p@} with respect to \(x\).</p><p>[[input:ans1]]</p><div>[[validation:ans1]]</div>]]></text>
 345     </questiontext>
 346     <generalfeedback format="html">
 347       <text></text>
 348     </generalfeedback>
 349     <defaultgrade>1.0000000</defaultgrade>
 350     <penalty>0.1000000</penalty>
 351     <hidden>0</hidden>
 352     <questionvariables>
 353       <text><![CDATA[/* Create a list of potential answers. */
 354 p:sin(2*x);
 355 ta:[[diff(p,x),true],[p,false],[int(p,x),false],[cos(2*x)+c,false]];
 356 /* The actual correct answer.    */
 357 tac:diff(p,x)
 358 /* Add in a "None of these" to the end of the list.  The Maxima value is the atom null. */
 359 tao:[null, false, "None of these"];
 360 ta:append(ta,[tao]);]]></text>
 361     </questionvariables>
 362     <specificfeedback format="html">
 363       <text>[[feedback:prt1]]</text>
 364     </specificfeedback>
 365     <questionnote>
 366       <text></text>
 367     </questionnote>
 368     <questionsimplify>1</questionsimplify>
 369     <assumepositive>0</assumepositive>
 370     <assumereal>0</assumereal>
 371     <prtcorrect format="html">
 372       <text>Correct answer, well done.</text>
 373     </prtcorrect>
 374     <prtpartiallycorrect format="html">
 375       <text>Your answer is partially correct.</text>
 376     </prtpartiallycorrect>
 377     <prtincorrect format="html">
 378       <text>Incorrect answer.</text>
 379     </prtincorrect>
 380     <multiplicationsign>dot</multiplicationsign>
 381     <sqrtsign>1</sqrtsign>
 382     <complexno>i</complexno>
 383     <inversetrig>cos-1</inversetrig>
 384     <matrixparens>[</matrixparens>
 385     <variantsselectionseed></variantsselectionseed>
 386     <input>
 387       <name>ans1</name>
 388       <type>checkbox</type>
 389       <tans>ta</tans>
 390       <boxsize>15</boxsize>
 391       <strictsyntax>1</strictsyntax>
 392       <insertstars>0</insertstars>
 393       <syntaxhint></syntaxhint>
 394       <syntaxattribute>0</syntaxattribute>
 395       <forbidwords></forbidwords>
 396       <allowwords></allowwords>
 397       <forbidfloat>1</forbidfloat>
 398       <requirelowestterms>0</requirelowestterms>
 399       <checkanswertype>0</checkanswertype>
 400       <mustverify>1</mustverify>
 401       <showvalidation>2</showvalidation>
 402       <options></options>
 403     </input>
 404     <prt>
 405       <name>prt1</name>
 406       <value>1.0000000</value>
 407       <autosimplify>1</autosimplify>
 408       <feedbackvariables>
 409         <text></text>
 410       </feedbackvariables>
 411       <node>
 412         <name>0</name>
 413         <answertest>Diff</answertest>
 414         <sans>first(ans1)</sans>
 415         <tans>diff(p,x)</tans>
 416         <testoptions>x</testoptions>
 417         <quiet>0</quiet>
 418         <truescoremode>=</truescoremode>
 419         <truescore>1.0000000</truescore>
 420         <truepenalty></truepenalty>
 421         <truenextnode>-1</truenextnode>
 422         <trueanswernote>prt1-1-T</trueanswernote>
 423         <truefeedback format="html">
 424           <text></text>
 425         </truefeedback>
 426         <falsescoremode>=</falsescoremode>
 427         <falsescore>0.0000000</falsescore>
 428         <falsepenalty></falsepenalty>
 429         <falsenextnode>-1</falsenextnode>
 430         <falseanswernote>prt1-1-F</falseanswernote>
 431         <falsefeedback format="html">
 432           <text></text>
 433         </falsefeedback>
 434       </node>
 435     </prt>
 436   </question>
 437
 438 <!-- question: 4  -->
 439   <question type="stack">
 440     <name>
 441       <text>Dropdown (shuffle)</text>
 442     </name>
 443     <questiontext format="html">
 444       <text><![CDATA[<p>Differentiate {@p@} with respect to \(x\).</p><p>[[input:ans1]]</p><div>[[validation:ans1]]</div>]]></text>
 445     </questiontext>
 446     <generalfeedback format="html">
 447       <text></text>
 448     </generalfeedback>
 449     <defaultgrade>1.0000000</defaultgrade>
 450     <penalty>0.1000000</penalty>
 451     <hidden>0</hidden>
 452     <questionvariables>
 453       <text><![CDATA[/* Create a list of potential answers. */
 454 p:sin(2*x);
 455 ta:[[diff(p,x),true],[p,false],[int(p,x),false],[cos(2*x)+c,false]];
 456 /* The actual correct answer.    */
 457 tac:diff(p,x)
 458 /* Randomly shuffle the list "ta". */
 459 ta:random_permutation(ta);
 460 /* Add in a "None of these" to the end of the list.  The Maxima value is the atom null. */
 461 tao:[null, false, "None of these"];
 462 ta:append(ta,[tao]);]]></text>
 463     </questionvariables>
 464     <specificfeedback format="html">
 465       <text>[[feedback:prt1]]</text>
 466     </specificfeedback>
 467     <questionnote>
 468       <text>{@ta@}</text>
 469     </questionnote>
 470     <questionsimplify>1</questionsimplify>
 471     <assumepositive>0</assumepositive>
 472     <assumereal>0</assumereal>
 473     <prtcorrect format="html">
 474       <text>Correct answer, well done.</text>
 475     </prtcorrect>
 476     <prtpartiallycorrect format="html">
 477       <text>Your answer is partially correct.</text>
 478     </prtpartiallycorrect>
 479     <prtincorrect format="html">
 480       <text>Incorrect answer.</text>
 481     </prtincorrect>
 482     <multiplicationsign>dot</multiplicationsign>
 483     <sqrtsign>1</sqrtsign>
 484     <complexno>i</complexno>
 485     <inversetrig>cos-1</inversetrig>
 486     <matrixparens>[</matrixparens>
 487     <variantsselectionseed></variantsselectionseed>
 488     <input>
 489       <name>ans1</name>
 490       <type>dropdown</type>
 491       <tans>ta</tans>
 492       <boxsize>15</boxsize>
 493       <strictsyntax>1</strictsyntax>
 494       <insertstars>0</insertstars>
 495       <syntaxhint></syntaxhint>
 496       <syntaxattribute>0</syntaxattribute>
 497       <forbidwords></forbidwords>
 498       <allowwords></allowwords>
 499       <forbidfloat>1</forbidfloat>
 500       <requirelowestterms>0</requirelowestterms>
 501       <checkanswertype>0</checkanswertype>
 502       <mustverify>1</mustverify>
 503       <showvalidation>2</showvalidation>
 504       <options></options>
 505     </input>
 506     <prt>
 507       <name>prt1</name>
 508       <value>1.0000000</value>
 509       <autosimplify>1</autosimplify>
 510       <feedbackvariables>
 511         <text></text>
 512       </feedbackvariables>
 513       <node>
 514         <name>0</name>
 515         <answertest>Diff</answertest>
 516         <sans>first(ans1)</sans>
 517         <tans>diff(p,x)</tans>
 518         <testoptions>x</testoptions>
 519         <quiet>0</quiet>
 520         <truescoremode>=</truescoremode>
 521         <truescore>1.0000000</truescore>
 522         <truepenalty></truepenalty>
 523         <truenextnode>-1</truenextnode>
 524         <trueanswernote>prt1-1-T</trueanswernote>
 525         <truefeedback format="html">
 526           <text></text>
 527         </truefeedback>
 528         <falsescoremode>=</falsescoremode>
 529         <falsescore>0.0000000</falsescore>
 530         <falsepenalty></falsepenalty>
 531         <falsenextnode>-1</falsenextnode>
 532         <falseanswernote>prt1-1-F</falseanswernote>
 533         <falsefeedback format="html">
 534           <text></text>
 535         </falsefeedback>
 536       </node>
 537     </prt>
 538   </question>
 539
 540 <!-- question: 5  -->
 541   <question type="stack">
 542     <name>
 543       <text>Equiv input test</text>
 544     </name>
 545     <questiontext format="html">
 546       <text><![CDATA[<p>Solve {@p@}.<br></p><p>[[input:ans1]]</p><div>[[validation:ans1]]</div>]]></text>
 547     </questiontext>
 548     <generalfeedback format="html">
 549       <text><![CDATA[<p>sangwinc<br></p>]]></text>
 550     </generalfeedback>
 551     <defaultgrade>1.0000000</defaultgrade>
 552     <penalty>0.1000000</penalty>
 553     <hidden>0</hidden>
 554     <questionvariables>
 555       <text>v:x
 556 p:3*v+7=4
 557 ta:[p,x=(4-7)/3,x=-1]</text>
 558     </questionvariables>
 559     <specificfeedback format="html">
 560       <text>[[feedback:prt1]]</text>
 561     </specificfeedback>
 562     <questionnote>
 563       <text></text>
 564     </questionnote>
 565     <questionsimplify>1</questionsimplify>
 566     <assumepositive>0</assumepositive>
 567     <assumereal>0</assumereal>
 568     <prtcorrect format="html">
 569       <text>Correct answer, well done.</text>
 570     </prtcorrect>
 571     <prtpartiallycorrect format="html">
 572       <text>Your answer is partially correct.</text>
 573     </prtpartiallycorrect>
 574     <prtincorrect format="html">
 575       <text>Incorrect answer.</text>
 576     </prtincorrect>
 577     <multiplicationsign>dot</multiplicationsign>
 578     <sqrtsign>1</sqrtsign>
 579     <complexno>i</complexno>
 580     <inversetrig>cos-1</inversetrig>
 581     <matrixparens>[</matrixparens>
 582     <variantsselectionseed></variantsselectionseed>
 583     <input>
 584       <name>ans1</name>
 585       <type>equiv</type>
 586       <tans>ta</tans>
 587       <boxsize>15</boxsize>
 588       <strictsyntax>1</strictsyntax>
 589       <insertstars>5</insertstars>
 590       <syntaxhint>firstline</syntaxhint>
 591       <syntaxattribute>0</syntaxattribute>
 592       <forbidwords></forbidwords>
 593       <allowwords></allowwords>
 594       <forbidfloat>1</forbidfloat>
 595       <requirelowestterms>0</requirelowestterms>
 596       <checkanswertype>1</checkanswertype>
 597       <mustverify>1</mustverify>
 598       <showvalidation>1</showvalidation>
 599       <options></options>
 600     </input>
 601     <prt>
 602       <name>prt1</name>
 603       <value>1.0000000</value>
 604       <autosimplify>1</autosimplify>
 605       <feedbackvariables>
 606         <text></text>
 607       </feedbackvariables>
 608       <node>
 609         <name>0</name>
 610         <answertest>AlgEquiv</answertest>
 611         <sans>last(ans1)</sans>
 612         <tans>last(ta)</tans>
 613         <testoptions></testoptions>
 614         <quiet>0</quiet>
 615         <truescoremode>=</truescoremode>
 616         <truescore>1.0000000</truescore>
 617         <truepenalty></truepenalty>
 618         <truenextnode>-1</truenextnode>
 619         <trueanswernote>prt1-1-T</trueanswernote>
 620         <truefeedback format="html">
 621           <text></text>
 622         </truefeedback>
 623         <falsescoremode>=</falsescoremode>
 624         <falsescore>0.0000000</falsescore>
 625         <falsepenalty></falsepenalty>
 626         <falsenextnode>-1</falsenextnode>
 627         <falseanswernote>prt1-1-F</falseanswernote>
 628         <falsefeedback format="html">
 629           <text></text>
 630         </falsefeedback>
 631       </node>
 632     </prt>
 633   </question>
 634
 635 <!-- question: 6  -->
 636   <question type="stack">
 637     <name>
 638       <text>Matrix</text>
 639     </name>
 640     <questiontext format="html">
 641       <text><![CDATA[<p>Type in {@M@}<br></p><p>[[input:ans1]]</p><div>[[validation:ans1]]</div>]]></text>
 642     </questiontext>
 643     <generalfeedback format="html">
 644       <text></text>
 645     </generalfeedback>
 646     <defaultgrade>1.0000000</defaultgrade>
 647     <penalty>0.1000000</penalty>
 648     <hidden>0</hidden>
 649     <questionvariables>
 650       <text>M:matrix([1,2],[3,4])</text>
 651     </questionvariables>
 652     <specificfeedback format="html">
 653       <text>[[feedback:prt1]]</text>
 654     </specificfeedback>
 655     <questionnote>
 656       <text></text>
 657     </questionnote>
 658     <questionsimplify>1</questionsimplify>
 659     <assumepositive>0</assumepositive>
 660     <assumereal>0</assumereal>
 661     <prtcorrect format="html">
 662       <text>Correct answer, well done.</text>
 663     </prtcorrect>
 664     <prtpartiallycorrect format="html">
 665       <text>Your answer is partially correct.</text>
 666     </prtpartiallycorrect>
 667     <prtincorrect format="html">
 668       <text>Incorrect answer.</text>
 669     </prtincorrect>
 670     <multiplicationsign>dot</multiplicationsign>
 671     <sqrtsign>1</sqrtsign>
 672     <complexno>i</complexno>
 673     <inversetrig>cos-1</inversetrig>
 674     <matrixparens>[</matrixparens>
 675     <variantsselectionseed></variantsselectionseed>
 676     <input>
 677       <name>ans1</name>
 678       <type>matrix</type>
 679       <tans>M</tans>
 680       <boxsize>15</boxsize>
 681       <strictsyntax>1</strictsyntax>
 682       <insertstars>0</insertstars>
 683       <syntaxhint></syntaxhint>
 684       <syntaxattribute>0</syntaxattribute>
 685       <forbidwords></forbidwords>
 686       <allowwords></allowwords>
 687       <forbidfloat>1</forbidfloat>
 688       <requirelowestterms>0</requirelowestterms>
 689       <checkanswertype>1</checkanswertype>
 690       <mustverify>1</mustverify>
 691       <showvalidation>1</showvalidation>
 692       <options></options>
 693     </input>
 694     <prt>
 695       <name>prt1</name>
 696       <value>1.0000000</value>
 697       <autosimplify>1</autosimplify>
 698       <feedbackvariables>
 699         <text></text>
 700       </feedbackvariables>
 701       <node>
 702         <name>0</name>
 703         <answertest>AlgEquiv</answertest>
 704         <sans>ans1</sans>
 705         <tans>M</tans>
 706         <testoptions></testoptions>
 707         <quiet>0</quiet>
 708         <truescoremode>=</truescoremode>
 709         <truescore>1.0000000</truescore>
 710         <truepenalty></truepenalty>
 711         <truenextnode>-1</truenextnode>
 712         <trueanswernote>prt1-1-T</trueanswernote>
 713         <truefeedback format="html">
 714           <text></text>
 715         </truefeedback>
 716         <falsescoremode>=</falsescoremode>
 717         <falsescore>0.0000000</falsescore>
 718         <falsepenalty></falsepenalty>
 719         <falsenextnode>-1</falsenextnode>
 720         <falseanswernote>prt1-1-F</falseanswernote>
 721         <falsefeedback format="html">
 722           <text></text>
 723         </falsefeedback>
 724       </node>
 725     </prt>
 726   </question>
 727
 728 <!-- question: 7  -->
 729   <question type="stack">
 730     <name>
 731       <text>Notes</text>
 732     </name>
 733     <questiontext format="html">
 734       <text><![CDATA[<p>Show your working in this box! \(x\).<br></p><p>[[input:ans1]]</p><div>[[validation:ans1]]</div>]]></text>
 735     </questiontext>
 736     <generalfeedback format="html">
 737       <text></text>
 738     </generalfeedback>
 739     <defaultgrade>1.0000000</defaultgrade>
 740     <penalty>0.1000000</penalty>
 741     <hidden>0</hidden>
 742     <questionvariables>
 743       <text></text>
 744     </questionvariables>
 745     <specificfeedback format="html">
 746       <text>[[feedback:prt1]]</text>
 747     </specificfeedback>
 748     <questionnote>
 749       <text></text>
 750     </questionnote>
 751     <questionsimplify>1</questionsimplify>
 752     <assumepositive>0</assumepositive>
 753     <assumereal>0</assumereal>
 754     <prtcorrect format="html">
 755       <text>Correct answer, well done.</text>
 756     </prtcorrect>
 757     <prtpartiallycorrect format="html">
 758       <text>Your answer is partially correct.</text>
 759     </prtpartiallycorrect>
 760     <prtincorrect format="html">
 761       <text>Incorrect answer.</text>
 762     </prtincorrect>
 763     <multiplicationsign>dot</multiplicationsign>
 764     <sqrtsign>1</sqrtsign>
 765     <complexno>i</complexno>
 766     <inversetrig>cos-1</inversetrig>
 767     <matrixparens>[</matrixparens>
 768     <variantsselectionseed></variantsselectionseed>
 769     <input>
 770       <name>ans1</name>
 771       <type>notes</type>
 772       <tans>true</tans>
 773       <boxsize>15</boxsize>
 774       <strictsyntax>1</strictsyntax>
 775       <insertstars>0</insertstars>
 776       <syntaxhint></syntaxhint>
 777       <syntaxattribute>0</syntaxattribute>
 778       <forbidwords></forbidwords>
 779       <allowwords></allowwords>
 780       <forbidfloat>1</forbidfloat>
 781       <requirelowestterms>0</requirelowestterms>
 782       <checkanswertype>0</checkanswertype>
 783       <mustverify>1</mustverify>
 784       <showvalidation>1</showvalidation>
 785       <options></options>
 786     </input>
 787     <prt>
 788       <name>prt1</name>
 789       <value>1.0000000</value>
 790       <autosimplify>1</autosimplify>
 791       <feedbackvariables>
 792         <text></text>
 793       </feedbackvariables>
 794       <node>
 795         <name>0</name>
 796         <answertest>AlgEquiv</answertest>
 797         <sans>ans1</sans>
 798         <tans>true</tans>
 799         <testoptions></testoptions>
 800         <quiet>0</quiet>
 801         <truescoremode>=</truescoremode>
 802         <truescore>1.0000000</truescore>
 803         <truepenalty></truepenalty>
 804         <truenextnode>-1</truenextnode>
 805         <trueanswernote>prt1-1-T</trueanswernote>
 806         <truefeedback format="html">
 807           <text></text>
 808         </truefeedback>
 809         <falsescoremode>=</falsescoremode>
 810         <falsescore>0.0000000</falsescore>
 811         <falsepenalty></falsepenalty>
 812         <falsenextnode>-1</falsenextnode>
 813         <falseanswernote>prt1-1-F</falseanswernote>
 814         <falsefeedback format="html">
 815           <text></text>
 816         </falsefeedback>
 817       </node>
 818     </prt>
 819   </question>
 820
 821 <!-- question: 8  -->
 822   <question type="stack">
 823     <name>
 824       <text>Radio</text>
 825     </name>
 826     <questiontext format="html">
 827       <text><![CDATA[<p>Differentiate {@p@} with respect to \(x\).</p><p>[[input:ans1]]</p><div>[[validation:ans1]]</div>]]></text>
 828     </questiontext>
 829     <generalfeedback format="html">
 830       <text></text>
 831     </generalfeedback>
 832     <defaultgrade>1.0000000</defaultgrade>
 833     <penalty>0.1000000</penalty>
 834     <hidden>0</hidden>
 835     <questionvariables>
 836       <text><![CDATA[/* Create a list of potential answers. */
 837 p:sin(2*x);
 838 ta:[[diff(p,x),true],[p,false],[int(p,x),false],[cos(2*x)+c,false]];
 839 /* The actual correct answer.    */
 840 tac:diff(p,x)
 841 /* Add in a "None of these" to the end of the list.  The Maxima value is the atom null. */
 842 tao:[null, false, "None of these"];
 843 ta:append(ta,[tao]);]]></text>
 844     </questionvariables>
 845     <specificfeedback format="html">
 846       <text>[[feedback:prt1]]</text>
 847     </specificfeedback>
 848     <questionnote>
 849       <text></text>
 850     </questionnote>
 851     <questionsimplify>1</questionsimplify>
 852     <assumepositive>0</assumepositive>
 853     <assumereal>0</assumereal>
 854     <prtcorrect format="html">
 855       <text>Correct answer, well done.</text>
 856     </prtcorrect>
 857     <prtpartiallycorrect format="html">
 858       <text>Your answer is partially correct.</text>
 859     </prtpartiallycorrect>
 860     <prtincorrect format="html">
 861       <text>Incorrect answer.</text>
 862     </prtincorrect>
 863     <multiplicationsign>dot</multiplicationsign>
 864     <sqrtsign>1</sqrtsign>
 865     <complexno>i</complexno>
 866     <inversetrig>cos-1</inversetrig>
 867     <matrixparens>[</matrixparens>
 868     <variantsselectionseed></variantsselectionseed>
 869     <input>
 870       <name>ans1</name>
 871       <type>radio</type>
 872       <tans>ta</tans>
 873       <boxsize>15</boxsize>
 874       <strictsyntax>1</strictsyntax>
 875       <insertstars>0</insertstars>
 876       <syntaxhint></syntaxhint>
 877       <syntaxattribute>0</syntaxattribute>
 878       <forbidwords></forbidwords>
 879       <allowwords></allowwords>
 880       <forbidfloat>1</forbidfloat>
 881       <requirelowestterms>0</requirelowestterms>
 882       <checkanswertype>0</checkanswertype>
 883       <mustverify>1</mustverify>
 884       <showvalidation>1</showvalidation>
 885       <options></options>
 886     </input>
 887     <prt>
 888       <name>prt1</name>
 889       <value>1.0000000</value>
 890       <autosimplify>1</autosimplify>
 891       <feedbackvariables>
 892         <text></text>
 893       </feedbackvariables>
 894       <node>
 895         <name>0</name>
 896         <answertest>Diff</answertest>
 897         <sans>first(ans1)</sans>
 898         <tans>diff(p,x)</tans>
 899         <testoptions>x</testoptions>
 900         <quiet>0</quiet>
 901         <truescoremode>=</truescoremode>
 902         <truescore>1.0000000</truescore>
 903         <truepenalty></truepenalty>
 904         <truenextnode>-1</truenextnode>
 905         <trueanswernote>prt1-1-T</trueanswernote>
 906         <truefeedback format="html">
 907           <text></text>
 908         </truefeedback>
 909         <falsescoremode>=</falsescoremode>
 910         <falsescore>0.0000000</falsescore>
 911         <falsepenalty></falsepenalty>
 912         <falsenextnode>-1</falsenextnode>
 913         <falseanswernote>prt1-1-F</falseanswernote>
 914         <falsefeedback format="html">
 915           <text></text>
 916         </falsefeedback>
 917       </node>
 918     </prt>
 919   </question>
 920
 921 <!-- question: 9  -->
 922   <question type="stack">
 923     <name>
 924       <text>Single char</text>
 925     </name>
 926     <questiontext format="html">
 927       <text><![CDATA[<p>Type in \(x\)<br></p><p>[[input:ans1]]</p><div>[[validation:ans1]]</div>]]></text>
 928     </questiontext>
 929     <generalfeedback format="html">
 930       <text></text>
 931     </generalfeedback>
 932     <defaultgrade>1.0000000</defaultgrade>
 933     <penalty>0.1000000</penalty>
 934     <hidden>0</hidden>
 935     <questionvariables>
 936       <text></text>
 937     </questionvariables>
 938     <specificfeedback format="html">
 939       <text>[[feedback:prt1]]</text>
 940     </specificfeedback>
 941     <questionnote>
 942       <text></text>
 943     </questionnote>
 944     <questionsimplify>1</questionsimplify>
 945     <assumepositive>0</assumepositive>
 946     <assumereal>0</assumereal>
 947     <prtcorrect format="html">
 948       <text>Correct answer, well done.</text>
 949     </prtcorrect>
 950     <prtpartiallycorrect format="html">
 951       <text>Your answer is partially correct.</text>
 952     </prtpartiallycorrect>
 953     <prtincorrect format="html">
 954       <text>Incorrect answer.</text>
 955     </prtincorrect>
 956     <multiplicationsign>dot</multiplicationsign>
 957     <sqrtsign>1</sqrtsign>
 958     <complexno>i</complexno>
 959     <inversetrig>cos-1</inversetrig>
 960     <matrixparens>[</matrixparens>
 961     <variantsselectionseed></variantsselectionseed>
 962     <input>
 963       <name>ans1</name>
 964       <type>singlechar</type>
 965       <tans>x</tans>
 966       <boxsize>15</boxsize>
 967       <strictsyntax>1</strictsyntax>
 968       <insertstars>0</insertstars>
 969       <syntaxhint></syntaxhint>
 970       <syntaxattribute>0</syntaxattribute>
 971       <forbidwords></forbidwords>
 972       <allowwords></allowwords>
 973       <forbidfloat>1</forbidfloat>
 974       <requirelowestterms>0</requirelowestterms>
 975       <checkanswertype>0</checkanswertype>
 976       <mustverify>1</mustverify>
 977       <showvalidation>1</showvalidation>
 978       <options></options>
 979     </input>
 980     <prt>
 981       <name>prt1</name>
 982       <value>1.0000000</value>
 983       <autosimplify>1</autosimplify>
 984       <feedbackvariables>
 985         <text></text>
 986       </feedbackvariables>
 987       <node>
 988         <name>0</name>
 989         <answertest>AlgEquiv</answertest>
 990         <sans>ans1</sans>
 991         <tans>x</tans>
 992         <testoptions></testoptions>
 993         <quiet>0</quiet>
 994         <truescoremode>=</truescoremode>
 995         <truescore>1.0000000</truescore>
 996         <truepenalty></truepenalty>
 997         <truenextnode>-1</truenextnode>
 998         <trueanswernote>prt1-1-T</trueanswernote>
 999         <truefeedback format="html">
1000           <text></text>
1001         </truefeedback>
1002         <falsescoremode>=</falsescoremode>
1003         <falsescore>0.0000000</falsescore>
1004         <falsepenalty></falsepenalty>
1005         <falsenextnode>-1</falsenextnode>
1006         <falseanswernote>prt1-1-F</falseanswernote>
1007         <falsefeedback format="html">
1008           <text></text>
1009         </falsefeedback>
1010       </node>
1011     </prt>
1012   </question>
1013
1014 <!-- question: 0  -->
1015   <question type="category">
1016     <category>
1017         <text>$course$/Default for Scratch</text>
1018
1019     </category>
1020   </question>
1021
1022 <!-- question: 13  -->
1023   <question type="stack">
1024     <name>
1025       <text>test_1_integration</text>
1026     </name>
1027     <questiontext format="html">
1028       <text><![CDATA[<p>Find \[ \int {@p@} d{@v@}\] [[input:ans1]] [[validation:ans1]]</p>]]></text>
1029     </questiontext>
1030     <generalfeedback format="html">
1031       <text><![CDATA[<p>We can either do this question by inspection (i.e. spot the answer) or in a more formal manner by using the substitution \[ u = ({@v@}-{@a@}).\] Then, since \(\frac{d}{d{@v@}}u=1\) we have \[ \int {@p@} d{@v@} = \int u^{@n@} du = \frac{u^{@n+1@}}{@n+1@}+c = {@ta@}+c.\]</p>]]></text>
1032     </generalfeedback>
1033     <defaultgrade>1.0000000</defaultgrade>
1034     <penalty>0.1000000</penalty>
1035     <hidden>0</hidden>
1036     <questionvariables>
1037       <text>n:rand(5)+3;
1038 a:rand(5)+3;
1039 v:rand([x,t]);
1040 p:(v-a)^n;
1041 ta:(v-a)^(n+1)/(n+1);</text>
1042     </questionvariables>
1043     <specificfeedback format="html">
1044       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
1045     </specificfeedback>
1046     <questionnote>
1047       <text>\(\int {@p@} d{@v@} = {@ta@}\)</text>
1048     </questionnote>
1049     <questionsimplify>1</questionsimplify>
1050     <assumepositive>0</assumepositive>
1051     <assumereal>0</assumereal>
1052     <prtcorrect format="html">
1053       <text><![CDATA[<p><span class="correct">Correct answer, well done.</span></p>]]></text>
1054     </prtcorrect>
1055     <prtpartiallycorrect format="html">
1056       <text><![CDATA[<p><span class="partially">Your answer is partially correct.</span></p>]]></text>
1057     </prtpartiallycorrect>
1058     <prtincorrect format="html">
1059       <text><![CDATA[<p><span class="incorrect">Incorrect answer.</span></p>]]></text>
1060     </prtincorrect>
1061     <multiplicationsign>dot</multiplicationsign>
1062     <sqrtsign>1</sqrtsign>
1063     <complexno>i</complexno>
1064     <inversetrig>cos-1</inversetrig>
1065     <matrixparens>[</matrixparens>
1066     <variantsselectionseed></variantsselectionseed>
1067     <input>
1068       <name>ans1</name>
1069       <type>algebraic</type>
1070       <tans>ta+c</tans>
1071       <boxsize>20</boxsize>
1072       <strictsyntax>1</strictsyntax>
1073       <insertstars>0</insertstars>
1074       <syntaxhint></syntaxhint>
1075       <syntaxattribute>0</syntaxattribute>
1076       <forbidwords>int</forbidwords>
1077       <allowwords></allowwords>
1078       <forbidfloat>1</forbidfloat>
1079       <requirelowestterms>1</requirelowestterms>
1080       <checkanswertype>1</checkanswertype>
1081       <mustverify>1</mustverify>
1082       <showvalidation>1</showvalidation>
1083       <options></options>
1084     </input>
1085     <prt>
1086       <name>prt1</name>
1087       <value>1.0000000</value>
1088       <autosimplify>1</autosimplify>
1089       <feedbackvariables>
1090         <text></text>
1091       </feedbackvariables>
1092       <node>
1093         <name>0</name>
1094         <answertest>Int</answertest>
1095         <sans>ans1</sans>
1096         <tans>ta</tans>
1097         <testoptions>v</testoptions>
1098         <quiet>0</quiet>
1099         <truescoremode>=</truescoremode>
1100         <truescore>1.0000000</truescore>
1101         <truepenalty></truepenalty>
1102         <truenextnode>-1</truenextnode>
1103         <trueanswernote>1-0-T </trueanswernote>
1104         <truefeedback format="html">
1105           <text></text>
1106         </truefeedback>
1107         <falsescoremode>=</falsescoremode>
1108         <falsescore>0.0000000</falsescore>
1109         <falsepenalty></falsepenalty>
1110         <falsenextnode>-1</falsenextnode>
1111         <falseanswernote>1-0-F </falseanswernote>
1112         <falsefeedback format="html">
1113           <text></text>
1114         </falsefeedback>
1115       </node>
1116     </prt>
1117     <deployedseed>1</deployedseed>
1118     <deployedseed>1001758021</deployedseed>
1119     <qtest>
1120       <testcase>1</testcase>
1121       <testinput>
1122         <name>ans1</name>
1123         <value>ta+c</value>
1124       </testinput>
1125       <expected>
1126         <name>prt1</name>
1127         <expectedscore>1.0000000</expectedscore>
1128         <expectedpenalty>0.0000000</expectedpenalty>
1129         <expectedanswernote>1-0-T</expectedanswernote>
1130       </expected>
1131     </qtest>
1132     <qtest>
1133       <testcase>2</testcase>
1134       <testinput>
1135         <name>ans1</name>
1136         <value>ta</value>
1137       </testinput>
1138       <expected>
1139         <name>prt1</name>
1140         <expectedscore>0.0000000</expectedscore>
1141         <expectedpenalty>0.1000000</expectedpenalty>
1142         <expectedanswernote>1-0-F</expectedanswernote>
1143       </expected>
1144     </qtest>
1145     <qtest>
1146       <testcase>3</testcase>
1147       <testinput>
1148         <name>ans1</name>
1149         <value>n*(v-a)^(n-1)</value>
1150       </testinput>
1151       <expected>
1152         <name>prt1</name>
1153         <expectedscore>0.0000000</expectedscore>
1154         <expectedpenalty>0.1000000</expectedpenalty>
1155         <expectedanswernote>1-0-F</expectedanswernote>
1156       </expected>
1157     </qtest>
1158     <qtest>
1159       <testcase>4</testcase>
1160       <testinput>
1161         <name>ans1</name>
1162         <value>(v-a)^(n+1)</value>
1163       </testinput>
1164       <expected>
1165         <name>prt1</name>
1166         <expectedscore>0.0000000</expectedscore>
1167         <expectedpenalty>0.1000000</expectedpenalty>
1168         <expectedanswernote>1-0-F</expectedanswernote>
1169       </expected>
1170     </qtest>
1171   </question>
1172
1173 <!-- question: 14  -->
1174   <question type="stack">
1175     <name>
1176       <text>test_2_rectangle</text>
1177     </name>
1178     <questiontext format="html">
1179       <text><![CDATA[<p>A rectangle has length {@sg@}cm greater than its width. If it has an area of \({@abs(ar)@}cm^2\), find the dimensions of the rectangle.</p>
1180  <p>1. Write down an equation which relates the side lengths to the area of the rectangle. <br />[[input:ans1]] [[validation:ans1]] [[feedback:eq]]</p>
1181  <p>2. Solve your equation. Enter your answer as a set of numbers. <br /> [[input:ans2]] [[validation:ans2]] [[feedback:sol]]</p>
1182  <p>3. Hence, find the length of the shorter side. <br />[[input:ans3]] cm [[validation:ans3]] [[feedback:short]]</p>]]></text>
1183     </questiontext>
1184     <generalfeedback format="html">
1185       <text><![CDATA[<p>If \(x\)cm is the width then \((x+{@sg@})\) is the length. Now the area is \({@abs(ar)@}cm^2\) and so \[ {@x*(x+sg)=-ar@}.\] \[ {@x^2+sg*x+ar@}=0\] \[ {@(x+rp)*(x+rn)=0@} \] So that \(x={@-rp@}\) or \(x={@-rn@}\). Since lengths are positive quantities \(x&gt;0\) and we discard the negative root. Hence the length of the shorter side is \(x={@-rn@}\)cm.</p>]]></text>
1186     </generalfeedback>
1187     <defaultgrade>1.0000000</defaultgrade>
1188     <penalty>0.1000000</penalty>
1189     <hidden>0</hidden>
1190     <questionvariables>
1191       <text>rn:-1*(rand(4)+2);
1192 rp:9+rand(6);
1193 ar:rn*rp;
1194 sg:rn+rp;
1195 ta1:x*(x+sg)=-ar;
1196 ta2:x*(x-sg)=-ar;
1197 tas1:setify(map(rhs,solve(ta1,x)));
1198 tas2:setify(map(rhs,solve(ta2,x)));</text>
1199     </questionvariables>
1200     <specificfeedback format="html">
1201       <text></text>
1202     </specificfeedback>
1203     <questionnote>
1204       <text>{@ta1@}, {@tas1@}.</text>
1205     </questionnote>
1206     <questionsimplify>1</questionsimplify>
1207     <assumepositive>0</assumepositive>
1208     <assumereal>0</assumereal>
1209     <prtcorrect format="html">
1210       <text><![CDATA[<p><span class="correct">Correct answer, well done.</span></p>]]></text>
1211     </prtcorrect>
1212     <prtpartiallycorrect format="html">
1213       <text><![CDATA[<p><span class="partially">Your answer is partially correct.</span></p>]]></text>
1214     </prtpartiallycorrect>
1215     <prtincorrect format="html">
1216       <text><![CDATA[<p><span class="incorrect">Incorrect answer.</span></p>]]></text>
1217     </prtincorrect>
1218     <multiplicationsign>dot</multiplicationsign>
1219     <sqrtsign>1</sqrtsign>
1220     <complexno>i</complexno>
1221     <inversetrig>cos-1</inversetrig>
1222     <matrixparens>[</matrixparens>
1223     <variantsselectionseed></variantsselectionseed>
1224     <input>
1225       <name>ans1</name>
1226       <type>algebraic</type>
1227       <tans>ta1</tans>
1228       <boxsize>15</boxsize>
1229       <strictsyntax>1</strictsyntax>
1230       <insertstars>1</insertstars>
1231       <syntaxhint></syntaxhint>
1232       <syntaxattribute>0</syntaxattribute>
1233       <forbidwords></forbidwords>
1234       <allowwords></allowwords>
1235       <forbidfloat>1</forbidfloat>
1236       <requirelowestterms>1</requirelowestterms>
1237       <checkanswertype>1</checkanswertype>
1238       <mustverify>1</mustverify>
1239       <showvalidation>1</showvalidation>
1240       <options></options>
1241     </input>
1242     <input>
1243       <name>ans2</name>
1244       <type>algebraic</type>
1245       <tans>tas1</tans>
1246       <boxsize>15</boxsize>
1247       <strictsyntax>1</strictsyntax>
1248       <insertstars>1</insertstars>
1249       <syntaxhint></syntaxhint>
1250       <syntaxattribute>0</syntaxattribute>
1251       <forbidwords></forbidwords>
1252       <allowwords></allowwords>
1253       <forbidfloat>1</forbidfloat>
1254       <requirelowestterms>1</requirelowestterms>
1255       <checkanswertype>1</checkanswertype>
1256       <mustverify>1</mustverify>
1257       <showvalidation>1</showvalidation>
1258       <options></options>
1259     </input>
1260     <input>
1261       <name>ans3</name>
1262       <type>algebraic</type>
1263       <tans>rp</tans>
1264       <boxsize>5</boxsize>
1265       <strictsyntax>1</strictsyntax>
1266       <insertstars>1</insertstars>
1267       <syntaxhint></syntaxhint>
1268       <syntaxattribute>0</syntaxattribute>
1269       <forbidwords></forbidwords>
1270       <allowwords></allowwords>
1271       <forbidfloat>1</forbidfloat>
1272       <requirelowestterms>1</requirelowestterms>
1273       <checkanswertype>1</checkanswertype>
1274       <mustverify>1</mustverify>
1275       <showvalidation>1</showvalidation>
1276       <options></options>
1277     </input>
1278     <prt>
1279       <name>eq</name>
1280       <value>1.0000000</value>
1281       <autosimplify>1</autosimplify>
1282       <feedbackvariables>
1283         <text></text>
1284       </feedbackvariables>
1285       <node>
1286         <name>0</name>
1287         <answertest>SubstEquiv</answertest>
1288         <sans>ans1</sans>
1289         <tans>ta1</tans>
1290         <testoptions></testoptions>
1291         <quiet>1</quiet>
1292         <truescoremode>=</truescoremode>
1293         <truescore>1.0000000</truescore>
1294         <truepenalty></truepenalty>
1295         <truenextnode>-1</truenextnode>
1296         <trueanswernote>eq-0-T </trueanswernote>
1297         <truefeedback format="html">
1298           <text></text>
1299         </truefeedback>
1300         <falsescoremode>=</falsescoremode>
1301         <falsescore>0.0000000</falsescore>
1302         <falsepenalty></falsepenalty>
1303         <falsenextnode>1</falsenextnode>
1304         <falseanswernote>eq-0-F </falseanswernote>
1305         <falsefeedback format="html">
1306           <text></text>
1307         </falsefeedback>
1308       </node>
1309       <node>
1310         <name>1</name>
1311         <answertest>SubstEquiv</answertest>
1312         <sans>ans1</sans>
1313         <tans>ta2</tans>
1314         <testoptions></testoptions>
1315         <quiet>1</quiet>
1316         <truescoremode>=</truescoremode>
1317         <truescore>1.0000000</truescore>
1318         <truepenalty></truepenalty>
1319         <truenextnode>-1</truenextnode>
1320         <trueanswernote>eq-1-T </trueanswernote>
1321         <truefeedback format="html">
1322           <text></text>
1323         </truefeedback>
1324         <falsescoremode>=</falsescoremode>
1325         <falsescore>0.0000000</falsescore>
1326         <falsepenalty></falsepenalty>
1327         <falsenextnode>-1</falsenextnode>
1328         <falseanswernote>eq-1-F </falseanswernote>
1329         <falsefeedback format="html">
1330           <text></text>
1331         </falsefeedback>
1332       </node>
1333     </prt>
1334     <prt>
1335       <name>short</name>
1336       <value>1.0000000</value>
1337       <autosimplify>1</autosimplify>
1338       <feedbackvariables>
1339         <text></text>
1340       </feedbackvariables>
1341       <node>
1342         <name>0</name>
1343         <answertest>AlgEquiv</answertest>
1344         <sans>ans3</sans>
1345         <tans>-rn</tans>
1346         <testoptions></testoptions>
1347         <quiet>0</quiet>
1348         <truescoremode>=</truescoremode>
1349         <truescore>1.0000000</truescore>
1350         <truepenalty></truepenalty>
1351         <truenextnode>-1</truenextnode>
1352         <trueanswernote>short-0-T </trueanswernote>
1353         <truefeedback format="html">
1354           <text></text>
1355         </truefeedback>
1356         <falsescoremode>=</falsescoremode>
1357         <falsescore>0.0000000</falsescore>
1358         <falsepenalty></falsepenalty>
1359         <falsenextnode>-1</falsenextnode>
1360         <falseanswernote>short-0-F </falseanswernote>
1361         <falsefeedback format="html">
1362           <text></text>
1363         </falsefeedback>
1364       </node>
1365     </prt>
1366     <prt>
1367       <name>sol</name>
1368       <value>1.0000000</value>
1369       <autosimplify>1</autosimplify>
1370       <feedbackvariables>
1371         <text>v1:first(listofvars(ans1));
1372  ftm:setify(map(rhs,solve(ans1,v1)));</text>
1373       </feedbackvariables>
1374       <node>
1375         <name>0</name>
1376         <answertest>SubstEquiv</answertest>
1377         <sans>ans1</sans>
1378         <tans>ta1</tans>
1379         <testoptions></testoptions>
1380         <quiet>1</quiet>
1381         <truescoremode>=</truescoremode>
1382         <truescore>1.0000000</truescore>
1383         <truepenalty></truepenalty>
1384         <truenextnode>3</truenextnode>
1385         <trueanswernote>sol-0-T </trueanswernote>
1386         <truefeedback format="html">
1387           <text></text>
1388         </truefeedback>
1389         <falsescoremode>=</falsescoremode>
1390         <falsescore>0.0000000</falsescore>
1391         <falsepenalty></falsepenalty>
1392         <falsenextnode>1</falsenextnode>
1393         <falseanswernote>sol-0-F </falseanswernote>
1394         <falsefeedback format="html">
1395           <text></text>
1396         </falsefeedback>
1397       </node>
1398       <node>
1399         <name>1</name>
1400         <answertest>SubstEquiv</answertest>
1401         <sans>ans1</sans>
1402         <tans>ta2</tans>
1403         <testoptions></testoptions>
1404         <quiet>1</quiet>
1405         <truescoremode>=</truescoremode>
1406         <truescore>1.0000000</truescore>
1407         <truepenalty></truepenalty>
1408         <truenextnode>4</truenextnode>
1409         <trueanswernote>sol-1-T </trueanswernote>
1410         <truefeedback format="html">
1411           <text></text>
1412         </truefeedback>
1413         <falsescoremode>=</falsescoremode>
1414         <falsescore>0.0000000</falsescore>
1415         <falsepenalty></falsepenalty>
1416         <falsenextnode>2</falsenextnode>
1417         <falseanswernote>sol-1-F </falseanswernote>
1418         <falsefeedback format="html">
1419           <text></text>
1420         </falsefeedback>
1421       </node>
1422       <node>
1423         <name>2</name>
1424         <answertest>AlgEquiv</answertest>
1425         <sans>ans2</sans>
1426         <tans>ftm</tans>
1427         <testoptions></testoptions>
1428         <quiet>0</quiet>
1429         <truescoremode>=</truescoremode>
1430         <truescore>1.0000000</truescore>
1431         <truepenalty></truepenalty>
1432         <truenextnode>-1</truenextnode>
1433         <trueanswernote>sol-2-T </trueanswernote>
1434         <truefeedback format="html">
1435           <text><![CDATA[<p>You have correctly solved the equation you have entered in part 1. Please try both parts again!</p>]]></text>
1436         </truefeedback>
1437         <falsescoremode>=</falsescoremode>
1438         <falsescore>0.0000000</falsescore>
1439         <falsepenalty></falsepenalty>
1440         <falsenextnode>-1</falsenextnode>
1441         <falseanswernote>sol-2-F </falseanswernote>
1442         <falsefeedback format="html">
1443           <text></text>
1444         </falsefeedback>
1445       </node>
1446       <node>
1447         <name>3</name>
1448         <answertest>AlgEquiv</answertest>
1449         <sans>ans2</sans>
1450         <tans>tas1</tans>
1451         <testoptions></testoptions>
1452         <quiet>0</quiet>
1453         <truescoremode>=</truescoremode>
1454         <truescore>1.0000000</truescore>
1455         <truepenalty></truepenalty>
1456         <truenextnode>-1</truenextnode>
1457         <trueanswernote>sol-3-T </trueanswernote>
1458         <truefeedback format="html">
1459           <text></text>
1460         </truefeedback>
1461         <falsescoremode>=</falsescoremode>
1462         <falsescore>0.0000000</falsescore>
1463         <falsepenalty></falsepenalty>
1464         <falsenextnode>-1</falsenextnode>
1465         <falseanswernote>sol-3-F </falseanswernote>
1466         <falsefeedback format="html">
1467           <text></text>
1468         </falsefeedback>
1469       </node>
1470       <node>
1471         <name>4</name>
1472         <answertest>AlgEquiv</answertest>
1473         <sans>ans2</sans>
1474         <tans>tas2</tans>
1475         <testoptions></testoptions>
1476         <quiet>0</quiet>
1477         <truescoremode>=</truescoremode>
1478         <truescore>1.0000000</truescore>
1479         <truepenalty></truepenalty>
1480         <truenextnode>-1</truenextnode>
1481         <trueanswernote>sol-5-T</trueanswernote>
1482         <truefeedback format="html">
1483           <text></text>
1484         </truefeedback>
1485         <falsescoremode>-</falsescoremode>
1486         <falsescore>0.0000000</falsescore>
1487         <falsepenalty></falsepenalty>
1488         <falsenextnode>-1</falsenextnode>
1489         <falseanswernote>sol-5-F</falseanswernote>
1490         <falsefeedback format="html">
1491           <text></text>
1492         </falsefeedback>
1493       </node>
1494     </prt>
1495     <deployedseed>92</deployedseed>
1496     <deployedseed>1621764605</deployedseed>
1497     <deployedseed>79313047</deployedseed>
1498     <deployedseed>1740562616</deployedseed>
1499     <qtest>
1500       <testcase>1</testcase>
1501       <testinput>
1502         <name>ans1</name>
1503         <value>ta1</value>
1504       </testinput>
1505       <testinput>
1506         <name>ans2</name>
1507         <value>ev({-rp,-rn},simp)</value>
1508       </testinput>
1509       <testinput>
1510         <name>ans3</name>
1511         <value>ev(-rn,simp)</value>
1512       </testinput>
1513       <expected>
1514         <name>eq</name>
1515         <expectedscore>1.0000000</expectedscore>
1516         <expectedpenalty>0.0000000</expectedpenalty>
1517         <expectedanswernote>eq-0-T</expectedanswernote>
1518       </expected>
1519       <expected>
1520         <name>short</name>
1521         <expectedscore>1.0000000</expectedscore>
1522         <expectedpenalty>0.0000000</expectedpenalty>
1523         <expectedanswernote>short-0-T</expectedanswernote>
1524       </expected>
1525       <expected>
1526         <name>sol</name>
1527         <expectedscore>1.0000000</expectedscore>
1528         <expectedpenalty>0.0000000</expectedpenalty>
1529         <expectedanswernote>sol-3-T</expectedanswernote>
1530       </expected>
1531     </qtest>
1532     <qtest>
1533       <testcase>2</testcase>
1534       <testinput>
1535         <name>ans1</name>
1536         <value>ta2</value>
1537       </testinput>
1538       <testinput>
1539         <name>ans2</name>
1540         <value>ev({rp,rn},simp)</value>
1541       </testinput>
1542       <testinput>
1543         <name>ans3</name>
1544         <value>ev(-rn,simp)</value>
1545       </testinput>
1546       <expected>
1547         <name>eq</name>
1548         <expectedscore>1.0000000</expectedscore>
1549         <expectedpenalty>0.0000000</expectedpenalty>
1550         <expectedanswernote>eq-1-T</expectedanswernote>
1551       </expected>
1552       <expected>
1553         <name>short</name>
1554         <expectedscore>1.0000000</expectedscore>
1555         <expectedpenalty>0.0000000</expectedpenalty>
1556         <expectedanswernote>short-0-T</expectedanswernote>
1557       </expected>
1558       <expected>
1559         <name>sol</name>
1560         <expectedscore>1.0000000</expectedscore>
1561         <expectedpenalty>0.0000000</expectedpenalty>
1562         <expectedanswernote>sol-5-T</expectedanswernote>
1563       </expected>
1564     </qtest>
1565     <qtest>
1566       <testcase>3</testcase>
1567       <testinput>
1568         <name>ans1</name>
1569         <value>x+sg=-ar</value>
1570       </testinput>
1571       <testinput>
1572         <name>ans2</name>
1573         <value>{-ar-sg}</value>
1574       </testinput>
1575       <testinput>
1576         <name>ans3</name>
1577         <value></value>
1578       </testinput>
1579       <expected>
1580         <name>eq</name>
1581         <expectedscore>0.0000000</expectedscore>
1582         <expectedpenalty>0.1000000</expectedpenalty>
1583         <expectedanswernote>eq-1-F</expectedanswernote>
1584       </expected>
1585       <expected>
1586         <name>short</name>
1587         <expectedscore></expectedscore>
1588         <expectedpenalty></expectedpenalty>
1589         <expectedanswernote>NULL</expectedanswernote>
1590       </expected>
1591       <expected>
1592         <name>sol</name>
1593         <expectedscore>1.0000000</expectedscore>
1594         <expectedpenalty>0.0000000</expectedpenalty>
1595         <expectedanswernote>sol-2-T</expectedanswernote>
1596       </expected>
1597     </qtest>
1598   </question>
1599
1600 <!-- question: 15  -->
1601   <question type="stack">
1602     <name>
1603       <text>test_3_matrix</text>
1604     </name>
1605     <questiontext format="html">
1606       <text><![CDATA[<p>Calculate \[ {@A@}.{@B@}\]</p>
1607 <p> [[input:ans1]] [[validation:ans1]]</p>]]></text>
1608     </questiontext>
1609     <generalfeedback format="html">
1610       <text><![CDATA[<p>To multiply matrices \(A\) and \(B\) we need to remember that the \((i,j)\)th entry is the scalar product of the \(i\)th row of \(A\) with the \(j\)th column of \(B\).</p>
1611 <p>\[ {@A@}.{@B@} = {@C@} = {@D@}.\]</p>]]></text>
1612     </generalfeedback>
1613     <defaultgrade>1.0000000</defaultgrade>
1614     <penalty>0.1000000</penalty>
1615     <hidden>0</hidden>
1616     <questionvariables>
1617       <text><![CDATA[A:ev(rand(matrix([5,5],[5,5]))+matrix([2,2],[2,2]),simp);
1618 B:ev(rand(matrix([5,5],[5,5]))+matrix([2,2],[2,2]),simp);
1619 TA:ev(A.B,simp);
1620 TB:ev(A*B,simp);
1621 BT:transpose(B);
1622 C:zeromatrix (first(matrix_size(A)), second(matrix_size(A)));
1623 S:for a:1 thru first(matrix_size(A)) do for b:1 thru second(matrix_size(A)) do C[ev(a,simp),ev(b,simp)]:apply("+",zip_with("*",A[ev(a,simp)],BT[ev(b,simp)]));
1624 D:ev(C,simp);
1625 C:C;]]></text>
1626     </questionvariables>
1627     <specificfeedback format="html">
1628       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
1629     </specificfeedback>
1630     <questionnote>
1631       <text>\({@A@}.{@B@}={@TA@}\)</text>
1632     </questionnote>
1633     <questionsimplify>0</questionsimplify>
1634     <assumepositive>0</assumepositive>
1635     <assumereal>0</assumereal>
1636     <prtcorrect format="html">
1637       <text><![CDATA[<p><span class="correct">Correct answer, well done.</span></p>]]></text>
1638     </prtcorrect>
1639     <prtpartiallycorrect format="html">
1640       <text><![CDATA[<p><span class="partially">Your answer is partially correct.</span></p>]]></text>
1641     </prtpartiallycorrect>
1642     <prtincorrect format="html">
1643       <text><![CDATA[<p><span class="incorrect">Incorrect answer.</span></p>]]></text>
1644     </prtincorrect>
1645     <multiplicationsign>dot</multiplicationsign>
1646     <sqrtsign>1</sqrtsign>
1647     <complexno>i</complexno>
1648     <inversetrig>cos-1</inversetrig>
1649     <matrixparens>[</matrixparens>
1650     <variantsselectionseed></variantsselectionseed>
1651     <input>
1652       <name>ans1</name>
1653       <type>matrix</type>
1654       <tans>TA</tans>
1655       <boxsize>3</boxsize>
1656       <strictsyntax>1</strictsyntax>
1657       <insertstars>0</insertstars>
1658       <syntaxhint></syntaxhint>
1659       <syntaxattribute>0</syntaxattribute>
1660       <forbidwords></forbidwords>
1661       <allowwords></allowwords>
1662       <forbidfloat>1</forbidfloat>
1663       <requirelowestterms>1</requirelowestterms>
1664       <checkanswertype>1</checkanswertype>
1665       <mustverify>1</mustverify>
1666       <showvalidation>1</showvalidation>
1667       <options></options>
1668     </input>
1669     <prt>
1670       <name>prt1</name>
1671       <value>1.0000000</value>
1672       <autosimplify>1</autosimplify>
1673       <feedbackvariables>
1674         <text></text>
1675       </feedbackvariables>
1676       <node>
1677         <name>0</name>
1678         <answertest>AlgEquiv</answertest>
1679         <sans>ans1</sans>
1680         <tans>TA</tans>
1681         <testoptions></testoptions>
1682         <quiet>1</quiet>
1683         <truescoremode>=</truescoremode>
1684         <truescore>1.0000000</truescore>
1685         <truepenalty></truepenalty>
1686         <truenextnode>-1</truenextnode>
1687         <trueanswernote>1-0-T </trueanswernote>
1688         <truefeedback format="html">
1689           <text></text>
1690         </truefeedback>
1691         <falsescoremode>=</falsescoremode>
1692         <falsescore>0.0000000</falsescore>
1693         <falsepenalty></falsepenalty>
1694         <falsenextnode>1</falsenextnode>
1695         <falseanswernote>1-0-F</falseanswernote>
1696         <falsefeedback format="html">
1697           <text></text>
1698         </falsefeedback>
1699       </node>
1700       <node>
1701         <name>1</name>
1702         <answertest>AlgEquiv</answertest>
1703         <sans>ans1</sans>
1704         <tans>TB</tans>
1705         <testoptions></testoptions>
1706         <quiet>1</quiet>
1707         <truescoremode>=</truescoremode>
1708         <truescore>0.0000000</truescore>
1709         <truepenalty></truepenalty>
1710         <truenextnode>-1</truenextnode>
1711         <trueanswernote>1-1-T </trueanswernote>
1712         <truefeedback format="html">
1713           <text><![CDATA[<p>Remember, you don't multiply matrices by multiplying the corresponding entries! A quite different process is needed.</p>]]></text>
1714         </truefeedback>
1715         <falsescoremode>=</falsescoremode>
1716         <falsescore>0.0000000</falsescore>
1717         <falsepenalty></falsepenalty>
1718         <falsenextnode>2</falsenextnode>
1719         <falseanswernote>1-1-F </falseanswernote>
1720         <falsefeedback format="html">
1721           <text></text>
1722         </falsefeedback>
1723       </node>
1724       <node>
1725         <name>2</name>
1726         <answertest>AlgEquiv</answertest>
1727         <sans>ans1</sans>
1728         <tans>A+B</tans>
1729         <testoptions></testoptions>
1730         <quiet>1</quiet>
1731         <truescoremode>=</truescoremode>
1732         <truescore>0.0000000</truescore>
1733         <truepenalty></truepenalty>
1734         <truenextnode>-1</truenextnode>
1735         <trueanswernote>1-3-T</trueanswernote>
1736         <truefeedback format="html">
1737           <text><![CDATA[<p>Please multiply the matrices. It looks like you have added them instead!</p>]]></text>
1738         </truefeedback>
1739         <falsescoremode>=</falsescoremode>
1740         <falsescore>0.0000000</falsescore>
1741         <falsepenalty></falsepenalty>
1742         <falsenextnode>-1</falsenextnode>
1743         <falseanswernote>1-3-F</falseanswernote>
1744         <falsefeedback format="html">
1745           <text></text>
1746         </falsefeedback>
1747       </node>
1748     </prt>
1749     <deployedseed>86</deployedseed>
1750     <deployedseed>219862533</deployedseed>
1751     <deployedseed>1167893775</deployedseed>
1752     <qtest>
1753       <testcase>1</testcase>
1754       <testinput>
1755         <name>ans1</name>
1756         <value>TA</value>
1757       </testinput>
1758       <expected>
1759         <name>prt1</name>
1760         <expectedscore>1.0000000</expectedscore>
1761         <expectedpenalty>0.0000000</expectedpenalty>
1762         <expectedanswernote>1-0-T </expectedanswernote>
1763       </expected>
1764     </qtest>
1765     <qtest>
1766       <testcase>2</testcase>
1767       <testinput>
1768         <name>ans1</name>
1769         <value>TB</value>
1770       </testinput>
1771       <expected>
1772         <name>prt1</name>
1773         <expectedscore>0.0000000</expectedscore>
1774         <expectedpenalty>0.1000000</expectedpenalty>
1775         <expectedanswernote>1-1-T</expectedanswernote>
1776       </expected>
1777     </qtest>
1778     <qtest>
1779       <testcase>4</testcase>
1780       <testinput>
1781         <name>ans1</name>
1782         <value>1</value>
1783       </testinput>
1784       <expected>
1785         <name>prt1</name>
1786         <expectedscore></expectedscore>
1787         <expectedpenalty></expectedpenalty>
1788         <expectedanswernote>NULL</expectedanswernote>
1789       </expected>
1790     </qtest>
1791     <qtest>
1792       <testcase>5</testcase>
1793       <testinput>
1794         <name>ans1</name>
1795         <value>A</value>
1796       </testinput>
1797       <expected>
1798         <name>prt1</name>
1799         <expectedscore>0.0000000</expectedscore>
1800         <expectedpenalty>0.1000000</expectedpenalty>
1801         <expectedanswernote>1-3-F</expectedanswernote>
1802       </expected>
1803     </qtest>
1804   </question>
1805
1806 <!-- question: 18  -->
1807   <question type="stack">
1808     <name>
1809       <text>test_5_cubic_spline</text>
1810     </name>
1811     <questiontext format="html">
1812       <text><![CDATA[<p>Consider the real function</p>
1813 <p>\[ f(x) :=\left\{ \begin{array}{ll} {@f0@} &amp; \mbox{for } x\leq {@x0@}, \\ p(x) &amp; \mbox{for } {@x0@} &lt; x &lt; {@x1@}, \\ {@f1@} &amp; \mbox{for } {@x1@}\leq x.\end{array} \right. \]</p>
1814 <p>{@plot(pg,[x,(x0-3),(x1+3)],[y,-3,3])@}</p>
1815 <p>Find the cubic polynomial \(p(x)\) which makes \(f(x)\) continuously differentiable. </p>
1816 <p>\(p(x)=\)[[input:ans1]]</p>
1817 <div>[[validation:ans1]]</div>]]></text>
1818     </questiontext>
1819     <generalfeedback format="html">
1820       <text><![CDATA[<p>First we need to find the information which \(p(x)\) needs to satisfy.  This is</p>
1821 <p>\[ p({@x0@})={@subst(x=x0,f0)@}.\]</p>
1822 <p>\[ p({@x1@})={@subst(x=x1,f1)@}.\]</p>
1823 <p>\[ p'({@x0@})={@subst(x=x0,diff(f0,x))@}.\]</p>
1824 <p>\[ p'({@x1@})={@subst(x=x1,diff(f1,x))@}.\]</p>
1825 <p>If we define \(p(x)\) to be the cubic </p>
1826 <p>\[ p(x) = a_3 x^3 + a_2 x^2 + a_1 x + a_0,\]</p>
1827 <p>We then set up the matrix equation</p>
1828 <p>\[ {@CS@} {@CV@} = {@CT@} \]</p>
1829 <p>Solving this gives the coefficients, from which we get the polynomial.</p>
1830 <p>{@ta@}.</p>]]></text>
1831     </generalfeedback>
1832     <defaultgrade>1.0000000</defaultgrade>
1833     <penalty>0.0000000</penalty>
1834     <hidden>0</hidden>
1835     <questionvariables>
1836       <text><![CDATA[x0 : -1;
1837 f0 : 1;
1838 x1 : 2;
1839 f1 : sin(%pi*x)
1840 /* Note, we should really use inf instead of 1000 here, but Maxima gives up plotting with the options used by STACK */
1841 pg:if x<x0 then f0 else if x<x1 then 1000 else f1;
1842 CS:matrix([1,x0,x0^2,x0^3],[0,1,2*x0,3*x0^2],[1,x1,x1^2,x1^3],[0,1,2*x1,3*x1^2])
1843 CT:transpose(matrix([ev(f0,x=x0),subst(x=x0,diff(f0,x)),ev(f1,x=x1),subst(x=x1,diff(f1,x))]));
1844 CV:transpose(matrix([a0,a1,a2,a3]));
1845 CS2:invert(CS).CT;
1846 ta : matrix([1,x,x^2,x^3]).CS2;]]></text>
1847     </questionvariables>
1848     <specificfeedback format="html">
1849       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
1850     </specificfeedback>
1851     <questionnote>
1852       <text>{@ta@}</text>
1853     </questionnote>
1854     <questionsimplify>1</questionsimplify>
1855     <assumepositive>0</assumepositive>
1856     <assumereal>0</assumereal>
1857     <prtcorrect format="html">
1858       <text><![CDATA[<p>Correct answer, well done.</p>]]></text>
1859     </prtcorrect>
1860     <prtpartiallycorrect format="html">
1861       <text><![CDATA[<p>Your answer is partially correct.</p>]]></text>
1862     </prtpartiallycorrect>
1863     <prtincorrect format="html">
1864       <text><![CDATA[<p>Incorrect answer.</p>]]></text>
1865     </prtincorrect>
1866     <multiplicationsign>dot</multiplicationsign>
1867     <sqrtsign>1</sqrtsign>
1868     <complexno>i</complexno>
1869     <inversetrig>cos-1</inversetrig>
1870     <matrixparens>[</matrixparens>
1871     <variantsselectionseed></variantsselectionseed>
1872     <input>
1873       <name>ans1</name>
1874       <type>algebraic</type>
1875       <tans>ta</tans>
1876       <boxsize>15</boxsize>
1877       <strictsyntax>1</strictsyntax>
1878       <insertstars>0</insertstars>
1879       <syntaxhint></syntaxhint>
1880       <syntaxattribute>0</syntaxattribute>
1881       <forbidwords></forbidwords>
1882       <allowwords></allowwords>
1883       <forbidfloat>1</forbidfloat>
1884       <requirelowestterms>0</requirelowestterms>
1885       <checkanswertype>0</checkanswertype>
1886       <mustverify>1</mustverify>
1887       <showvalidation>1</showvalidation>
1888       <options></options>
1889     </input>
1890     <prt>
1891       <name>prt1</name>
1892       <value>1.0000000</value>
1893       <autosimplify>1</autosimplify>
1894       <feedbackvariables>
1895         <text><![CDATA[anspt : if (x>x0 and x<x1) then ans1 else 1000;]]></text>
1896       </feedbackvariables>
1897       <node>
1898         <name>0</name>
1899         <answertest>AlgEquiv</answertest>
1900         <sans>subst(x=x0,ans1)</sans>
1901         <tans>subst(x=x0,f0)</tans>
1902         <testoptions></testoptions>
1903         <quiet>0</quiet>
1904         <truescoremode>+</truescoremode>
1905         <truescore>0.2500000</truescore>
1906         <truepenalty></truepenalty>
1907         <truenextnode>1</truenextnode>
1908         <trueanswernote>prt1-1-T</trueanswernote>
1909         <truefeedback format="html">
1910           <text></text>
1911         </truefeedback>
1912         <falsescoremode>=</falsescoremode>
1913         <falsescore>0.0000000</falsescore>
1914         <falsepenalty></falsepenalty>
1915         <falsenextnode>1</falsenextnode>
1916         <falseanswernote>prt1-1-F</falseanswernote>
1917         <falsefeedback format="html">
1918           <text><![CDATA[<p>Your answer does not satisfy \({@p(x0)=subst(x=x0,f0)@}\).</p>]]></text>
1919         </falsefeedback>
1920       </node>
1921       <node>
1922         <name>1</name>
1923         <answertest>AlgEquiv</answertest>
1924         <sans>subst(x=x1,ans1)</sans>
1925         <tans>subst(x=x1,f1)</tans>
1926         <testoptions></testoptions>
1927         <quiet>0</quiet>
1928         <truescoremode>+</truescoremode>
1929         <truescore>0.2500000</truescore>
1930         <truepenalty></truepenalty>
1931         <truenextnode>2</truenextnode>
1932         <trueanswernote>prt1-2-T</trueanswernote>
1933         <truefeedback format="html">
1934           <text></text>
1935         </truefeedback>
1936         <falsescoremode>+</falsescoremode>
1937         <falsescore>0.0000000</falsescore>
1938         <falsepenalty></falsepenalty>
1939         <falsenextnode>2</falsenextnode>
1940         <falseanswernote>prt1-2-F</falseanswernote>
1941         <falsefeedback format="html">
1942           <text><![CDATA[<p>Your answer does not satisfy \({@p(x1)=subst(x=x1,f1)@}\).</p>]]></text>
1943         </falsefeedback>
1944       </node>
1945       <node>
1946         <name>2</name>
1947         <answertest>AlgEquiv</answertest>
1948         <sans>subst(x=x0,diff(ans1,x))</sans>
1949         <tans>subst(x=x0,diff(f0,x))</tans>
1950         <testoptions></testoptions>
1951         <quiet>0</quiet>
1952         <truescoremode>+</truescoremode>
1953         <truescore>0.2500000</truescore>
1954         <truepenalty></truepenalty>
1955         <truenextnode>3</truenextnode>
1956         <trueanswernote>prt1-3-T</trueanswernote>
1957         <truefeedback format="html">
1958           <text></text>
1959         </truefeedback>
1960         <falsescoremode>+</falsescoremode>
1961         <falsescore>0.0000000</falsescore>
1962         <falsepenalty></falsepenalty>
1963         <falsenextnode>3</falsenextnode>
1964         <falseanswernote>prt1-3-F</falseanswernote>
1965         <falsefeedback format="html">
1966           <text><![CDATA[<p>Your answer does not satisfy \(p'({@x0@})={@subst(x=x0,diff(f0,x))@}\).</p>]]></text>
1967         </falsefeedback>
1968       </node>
1969       <node>
1970         <name>3</name>
1971         <answertest>AlgEquiv</answertest>
1972         <sans>subst(x=x1,diff(ans1,x))</sans>
1973         <tans>subst(x=x1,diff(f1,x))</tans>
1974         <testoptions></testoptions>
1975         <quiet>0</quiet>
1976         <truescoremode>+</truescoremode>
1977         <truescore>0.2500000</truescore>
1978         <truepenalty></truepenalty>
1979         <truenextnode>4</truenextnode>
1980         <trueanswernote>prt1-4-T</trueanswernote>
1981         <truefeedback format="html">
1982           <text></text>
1983         </truefeedback>
1984         <falsescoremode>+</falsescoremode>
1985         <falsescore>0.0000000</falsescore>
1986         <falsepenalty></falsepenalty>
1987         <falsenextnode>4</falsenextnode>
1988         <falseanswernote>prt1-4-F</falseanswernote>
1989         <falsefeedback format="html">
1990           <text><![CDATA[<p>Your answer does not satisfy \(p'({@x1@})={@subst(x=x1,diff(f1,x))@}\).</p>]]></text>
1991         </falsefeedback>
1992       </node>
1993       <node>
1994         <name>4</name>
1995         <answertest>AlgEquiv</answertest>
1996         <sans>degree(ans1,x)</sans>
1997         <tans>3</tans>
1998         <testoptions></testoptions>
1999         <quiet>0</quiet>
2000         <truescoremode>+</truescoremode>
2001         <truescore>0.0000000</truescore>
2002         <truepenalty></truepenalty>
2003         <truenextnode>5</truenextnode>
2004         <trueanswernote>prt1-5-T</trueanswernote>
2005         <truefeedback format="html">
2006           <text></text>
2007         </truefeedback>
2008         <falsescoremode>=</falsescoremode>
2009         <falsescore>0.0000000</falsescore>
2010         <falsepenalty></falsepenalty>
2011         <falsenextnode>5</falsenextnode>
2012         <falseanswernote>prt1-5-F</falseanswernote>
2013         <falsefeedback format="html">
2014           <text><![CDATA[<p>Your answer is not a cubic!</p>]]></text>
2015         </falsefeedback>
2016       </node>
2017       <node>
2018         <name>5</name>
2019         <answertest>AlgEquiv</answertest>
2020         <sans>ans1</sans>
2021         <tans>ta</tans>
2022         <testoptions></testoptions>
2023         <quiet>0</quiet>
2024         <truescoremode>=</truescoremode>
2025         <truescore>1.0000000</truescore>
2026         <truepenalty></truepenalty>
2027         <truenextnode>-1</truenextnode>
2028         <trueanswernote>prt1-6-T</trueanswernote>
2029         <truefeedback format="html">
2030           <text></text>
2031         </truefeedback>
2032         <falsescoremode>+</falsescoremode>
2033         <falsescore>0.0000000</falsescore>
2034         <falsepenalty></falsepenalty>
2035         <falsenextnode>-1</falsenextnode>
2036         <falseanswernote>prt1-6-F</falseanswernote>
2037         <falsefeedback format="html">
2038           <text><![CDATA[<p>Your answer is plotted below, although part of your graph might appear out of range of the plot!</p>
2039 <p>{@plot([pg,anspt],[x,(x0-3),(x1+3)],[y,-3,3])@}</p>]]></text>
2040         </falsefeedback>
2041       </node>
2042     </prt>
2043     <qtest>
2044       <testcase>1</testcase>
2045       <testinput>
2046         <name>ans1</name>
2047         <value>ta</value>
2048       </testinput>
2049       <expected>
2050         <name>prt1</name>
2051         <expectedscore>1.0000000</expectedscore>
2052         <expectedpenalty>0.0000000</expectedpenalty>
2053         <expectedanswernote>prt1-6-T</expectedanswernote>
2054       </expected>
2055     </qtest>
2056     <qtest>
2057       <testcase>2</testcase>
2058       <testinput>
2059         <name>ans1</name>
2060         <value>x^2</value>
2061       </testinput>
2062       <expected>
2063         <name>prt1</name>
2064         <expectedscore>0.0000000</expectedscore>
2065         <expectedpenalty>0.0000000</expectedpenalty>
2066         <expectedanswernote>prt1-6-F</expectedanswernote>
2067       </expected>
2068     </qtest>
2069     <qtest>
2070       <testcase>3</testcase>
2071       <testinput>
2072         <name>ans1</name>
2073         <value>(2*%pi/9+2/27)*x^3-x^2/9+(-2*%pi/3-4/9)*x-4*%pi/9+20/27</value>
2074       </testinput>
2075       <expected>
2076         <name>prt1</name>
2077         <expectedscore>0.7500000</expectedscore>
2078         <expectedpenalty>0.0000000</expectedpenalty>
2079         <expectedanswernote>prt1-6-F</expectedanswernote>
2080       </expected>
2081     </qtest>
2082   </question>
2083
2084 <!-- question: 16  -->
2085   <question type="stack">
2086     <name>
2087       <text>text_4_complex-De Moivre's</text>
2088     </name>
2089     <questiontext format="html">
2090       <text><![CDATA[<p>Given a complex number \(\displaystyle z={@q@}\) <span class="nolink">determine<br /></span></p>
2091 <p>\(|z^{@n@}|=\)[[input:ans1]] [[validation:ans1]] [[feedback:prt1]]</p>
2092 <p>and \(\arg(z^{@n@})=\)[[input:ans2]] [[validation:ans2]] [[feedback:prt2]]</p>]]></text>
2093     </questiontext>
2094     <generalfeedback format="html">
2095       <text><![CDATA[<p>It makes sense that the index laws should still apply.  This is called De Moivre's theorem.</p>
2096 <p>\[ {@q^n@} ={@a^n@} e^{@b*n*%i*%pi@}.\]</p>
2097 <p>Recall that</p>
2098 <p>\[ e^{i\theta} = \cos(\theta)+i\sin(\theta).\]</p>
2099 <p>Working with the principle argument \(0\leq \theta \leq 2\pi\) gives us</p>
2100 <p>\[ {@q^n@} = {@a^n@} e^{@b*n*%i*%pi@} = {@a^n@} e^{@ev(b*n,simp)*%i*%pi@} = {@a^n@} e^{@p*%i*%pi@}.\]</p>]]></text>
2101     </generalfeedback>
2102     <defaultgrade>1.0000000</defaultgrade>
2103     <penalty>0.1000000</penalty>
2104     <hidden>0</hidden>
2105     <questionvariables>
2106       <text>a : ev(2+rand(15),simp);
2107 b : ev((-1)^rand(2)*((1+rand(10)))/(2+rand(15)),simp);
2108 n : ev(3+rand(20),simp);
2109 q : a*%e^(b*%i*%pi);
2110 p : ev(mod(b*n,2),simp);</text>
2111     </questionvariables>
2112     <specificfeedback format="html">
2113       <text></text>
2114     </specificfeedback>
2115     <questionnote>
2116       <text>{@q^n = a^n*(cos(p*%i*%pi)+%i*sin(p*%i*%pi))@}</text>
2117     </questionnote>
2118     <questionsimplify>0</questionsimplify>
2119     <assumepositive>0</assumepositive>
2120     <assumereal>0</assumereal>
2121     <prtcorrect format="html">
2122       <text><![CDATA[<p>Correct answer, well done.</p>]]></text>
2123     </prtcorrect>
2124     <prtpartiallycorrect format="html">
2125       <text><![CDATA[<p>Your answer is partially correct.</p>]]></text>
2126     </prtpartiallycorrect>
2127     <prtincorrect format="html">
2128       <text><![CDATA[<p>Incorrect answer.</p>]]></text>
2129     </prtincorrect>
2130     <multiplicationsign>dot</multiplicationsign>
2131     <sqrtsign>1</sqrtsign>
2132     <complexno>i</complexno>
2133     <inversetrig>cos-1</inversetrig>
2134     <matrixparens>[</matrixparens>
2135     <variantsselectionseed></variantsselectionseed>
2136     <input>
2137       <name>ans1</name>
2138       <type>algebraic</type>
2139       <tans>a^n</tans>
2140       <boxsize>15</boxsize>
2141       <strictsyntax>1</strictsyntax>
2142       <insertstars>0</insertstars>
2143       <syntaxhint></syntaxhint>
2144       <syntaxattribute>0</syntaxattribute>
2145       <forbidwords></forbidwords>
2146       <allowwords></allowwords>
2147       <forbidfloat>1</forbidfloat>
2148       <requirelowestterms>0</requirelowestterms>
2149       <checkanswertype>0</checkanswertype>
2150       <mustverify>1</mustverify>
2151       <showvalidation>1</showvalidation>
2152       <options></options>
2153     </input>
2154     <input>
2155       <name>ans2</name>
2156       <type>algebraic</type>
2157       <tans>p*%pi</tans>
2158       <boxsize>15</boxsize>
2159       <strictsyntax>1</strictsyntax>
2160       <insertstars>0</insertstars>
2161       <syntaxhint></syntaxhint>
2162       <syntaxattribute>0</syntaxattribute>
2163       <forbidwords></forbidwords>
2164       <allowwords></allowwords>
2165       <forbidfloat>1</forbidfloat>
2166       <requirelowestterms>0</requirelowestterms>
2167       <checkanswertype>0</checkanswertype>
2168       <mustverify>1</mustverify>
2169       <showvalidation>1</showvalidation>
2170       <options></options>
2171     </input>
2172     <prt>
2173       <name>prt1</name>
2174       <value>1.0000000</value>
2175       <autosimplify>1</autosimplify>
2176       <feedbackvariables>
2177         <text></text>
2178       </feedbackvariables>
2179       <node>
2180         <name>0</name>
2181         <answertest>AlgEquiv</answertest>
2182         <sans>ans1</sans>
2183         <tans>a^n</tans>
2184         <testoptions></testoptions>
2185         <quiet>0</quiet>
2186         <truescoremode>=</truescoremode>
2187         <truescore>1.0000000</truescore>
2188         <truepenalty>0.0000000</truepenalty>
2189         <truenextnode>-1</truenextnode>
2190         <trueanswernote>prt1-1-T</trueanswernote>
2191         <truefeedback format="html">
2192           <text></text>
2193         </truefeedback>
2194         <falsescoremode>=</falsescoremode>
2195         <falsescore>0.0000000</falsescore>
2196         <falsepenalty>0.0000000</falsepenalty>
2197         <falsenextnode>-1</falsenextnode>
2198         <falseanswernote>prt1-1-F</falseanswernote>
2199         <falsefeedback format="html">
2200           <text></text>
2201         </falsefeedback>
2202       </node>
2203     </prt>
2204     <prt>
2205       <name>prt2</name>
2206       <value>1.0000000</value>
2207       <autosimplify>1</autosimplify>
2208       <feedbackvariables>
2209         <text></text>
2210       </feedbackvariables>
2211       <node>
2212         <name>0</name>
2213         <answertest>AlgEquiv</answertest>
2214         <sans>[cos(ans2),sin(ans2)]</sans>
2215         <tans>[cos(b*%pi*n),sin(b*%pi*n)]</tans>
2216         <testoptions></testoptions>
2217         <quiet>1</quiet>
2218         <truescoremode>=</truescoremode>
2219         <truescore>1.0000000</truescore>
2220         <truepenalty></truepenalty>
2221         <truenextnode>-1</truenextnode>
2222         <trueanswernote>prt2-1-T</trueanswernote>
2223         <truefeedback format="html">
2224           <text></text>
2225         </truefeedback>
2226         <falsescoremode>=</falsescoremode>
2227         <falsescore>0.0000000</falsescore>
2228         <falsepenalty></falsepenalty>
2229         <falsenextnode>-1</falsenextnode>
2230         <falseanswernote>prt2-1-F</falseanswernote>
2231         <falsefeedback format="html">
2232           <text></text>
2233         </falsefeedback>
2234       </node>
2235     </prt>
2236     <qtest>
2237       <testcase>1</testcase>
2238       <testinput>
2239         <name>ans1</name>
2240         <value>a^n</value>
2241       </testinput>
2242       <testinput>
2243         <name>ans2</name>
2244         <value></value>
2245       </testinput>
2246       <expected>
2247         <name>prt1</name>
2248         <expectedscore>1.0000000</expectedscore>
2249         <expectedpenalty>0.0000000</expectedpenalty>
2250         <expectedanswernote>prt1-1-T</expectedanswernote>
2251       </expected>
2252       <expected>
2253         <name>prt2</name>
2254         <expectedscore></expectedscore>
2255         <expectedpenalty></expectedpenalty>
2256         <expectedanswernote>NULL</expectedanswernote>
2257       </expected>
2258     </qtest>
2259     <qtest>
2260       <testcase>2</testcase>
2261       <testinput>
2262         <name>ans1</name>
2263         <value></value>
2264       </testinput>
2265       <testinput>
2266         <name>ans2</name>
2267         <value>b*n*%pi</value>
2268       </testinput>
2269       <expected>
2270         <name>prt1</name>
2271         <expectedscore></expectedscore>
2272         <expectedpenalty></expectedpenalty>
2273         <expectedanswernote>NULL</expectedanswernote>
2274       </expected>
2275       <expected>
2276         <name>prt2</name>
2277         <expectedscore>1.0000000</expectedscore>
2278         <expectedpenalty>0.0000000</expectedpenalty>
2279         <expectedanswernote>prt2-1-T</expectedanswernote>
2280       </expected>
2281     </qtest>
2282     <qtest>
2283       <testcase>3</testcase>
2284       <testinput>
2285         <name>ans1</name>
2286         <value></value>
2287       </testinput>
2288       <testinput>
2289         <name>ans2</name>
2290         <value>p*%pi</value>
2291       </testinput>
2292       <expected>
2293         <name>prt1</name>
2294         <expectedscore></expectedscore>
2295         <expectedpenalty></expectedpenalty>
2296         <expectedanswernote>NULL</expectedanswernote>
2297       </expected>
2298       <expected>
2299         <name>prt2</name>
2300         <expectedscore>1.0000000</expectedscore>
2301         <expectedpenalty>0.0000000</expectedpenalty>
2302         <expectedanswernote>prt2-1-T</expectedanswernote>
2303       </expected>
2304     </qtest>
2305   </question>
2306
2307 <!-- question: 19  -->
2308   <question type="stack">
2309     <name>
2310       <text>text_6_odd_even</text>
2311     </name>
2312     <questiontext format="html">
2313       <text><![CDATA[<p>1. Give an example of an odd function by typing an expression which represents it. \(f_1(x)=\) [[input:ans1]]. [[validation:ans1]] [[feedback:odd]]</p>
2314 <p>2. Give an example of an even function. \(f_2(x)=\) [[input:ans2]]. [[validation:ans2]] [[feedback:even]]</p>
2315 <p>3. Give an example of a function which is odd and even. \(f_3(x)=\) [[input:ans3]]. [[validation:ans3]] [[feedback:oddeven]]</p>
2316 <p>4. Is the answer to 3. unique? [[input:ans4]] (Or are there many different possibilities.) [[validation:ans4]] [[feedback:unique]]</p>]]></text>
2317     </questiontext>
2318     <generalfeedback format="html">
2319       <text></text>
2320     </generalfeedback>
2321     <defaultgrade>1.0000000</defaultgrade>
2322     <penalty>0.3333333</penalty>
2323     <hidden>0</hidden>
2324     <questionvariables>
2325       <text></text>
2326     </questionvariables>
2327     <specificfeedback format="html">
2328       <text></text>
2329     </specificfeedback>
2330     <questionnote>
2331       <text></text>
2332     </questionnote>
2333     <questionsimplify>1</questionsimplify>
2334     <assumepositive>0</assumepositive>
2335     <assumereal>0</assumereal>
2336     <prtcorrect format="html">
2337       <text><![CDATA[<p><span class="correct">Correct answer, well done.</span></p>]]></text>
2338     </prtcorrect>
2339     <prtpartiallycorrect format="html">
2340       <text><![CDATA[<p><span class="incorrect">Your answer is partially correct.</span></p>]]></text>
2341     </prtpartiallycorrect>
2342     <prtincorrect format="html">
2343       <text><![CDATA[<p><span class="partially">Incorrect answer.</span></p>]]></text>
2344     </prtincorrect>
2345     <multiplicationsign>dot</multiplicationsign>
2346     <sqrtsign>1</sqrtsign>
2347     <complexno>i</complexno>
2348     <inversetrig>cos-1</inversetrig>
2349     <matrixparens>[</matrixparens>
2350     <variantsselectionseed></variantsselectionseed>
2351     <input>
2352       <name>ans1</name>
2353       <type>algebraic</type>
2354       <tans>x^3</tans>
2355       <boxsize>15</boxsize>
2356       <strictsyntax>1</strictsyntax>
2357       <insertstars>0</insertstars>
2358       <syntaxhint></syntaxhint>
2359       <syntaxattribute>0</syntaxattribute>
2360       <forbidwords></forbidwords>
2361       <allowwords></allowwords>
2362       <forbidfloat>1</forbidfloat>
2363       <requirelowestterms>1</requirelowestterms>
2364       <checkanswertype>1</checkanswertype>
2365       <mustverify>1</mustverify>
2366       <showvalidation>1</showvalidation>
2367       <options></options>
2368     </input>
2369     <input>
2370       <name>ans2</name>
2371       <type>algebraic</type>
2372       <tans>x^4</tans>
2373       <boxsize>15</boxsize>
2374       <strictsyntax>1</strictsyntax>
2375       <insertstars>0</insertstars>
2376       <syntaxhint></syntaxhint>
2377       <syntaxattribute>0</syntaxattribute>
2378       <forbidwords></forbidwords>
2379       <allowwords></allowwords>
2380       <forbidfloat>1</forbidfloat>
2381       <requirelowestterms>1</requirelowestterms>
2382       <checkanswertype>1</checkanswertype>
2383       <mustverify>1</mustverify>
2384       <showvalidation>1</showvalidation>
2385       <options></options>
2386     </input>
2387     <input>
2388       <name>ans3</name>
2389       <type>algebraic</type>
2390       <tans>0</tans>
2391       <boxsize>15</boxsize>
2392       <strictsyntax>1</strictsyntax>
2393       <insertstars>0</insertstars>
2394       <syntaxhint></syntaxhint>
2395       <syntaxattribute>0</syntaxattribute>
2396       <forbidwords></forbidwords>
2397       <allowwords></allowwords>
2398       <forbidfloat>1</forbidfloat>
2399       <requirelowestterms>1</requirelowestterms>
2400       <checkanswertype>1</checkanswertype>
2401       <mustverify>1</mustverify>
2402       <showvalidation>1</showvalidation>
2403       <options></options>
2404     </input>
2405     <input>
2406       <name>ans4</name>
2407       <type>boolean</type>
2408       <tans>true</tans>
2409       <boxsize>15</boxsize>
2410       <strictsyntax>1</strictsyntax>
2411       <insertstars>0</insertstars>
2412       <syntaxhint></syntaxhint>
2413       <syntaxattribute>0</syntaxattribute>
2414       <forbidwords></forbidwords>
2415       <allowwords></allowwords>
2416       <forbidfloat>1</forbidfloat>
2417       <requirelowestterms>1</requirelowestterms>
2418       <checkanswertype>1</checkanswertype>
2419       <mustverify>1</mustverify>
2420       <showvalidation>1</showvalidation>
2421       <options></options>
2422     </input>
2423     <prt>
2424       <name>even</name>
2425       <value>1.0000000</value>
2426       <autosimplify>1</autosimplify>
2427       <feedbackvariables>
2428         <text>sa:ans2-subst(x=-x,ans2);</text>
2429       </feedbackvariables>
2430       <node>
2431         <name>0</name>
2432         <answertest>AlgEquiv</answertest>
2433         <sans>sa</sans>
2434         <tans>0</tans>
2435         <testoptions></testoptions>
2436         <quiet>0</quiet>
2437         <truescoremode>=</truescoremode>
2438         <truescore>1.0000000</truescore>
2439         <truepenalty></truepenalty>
2440         <truenextnode>-1</truenextnode>
2441         <trueanswernote>even-0-T </trueanswernote>
2442         <truefeedback format="html">
2443           <text></text>
2444         </truefeedback>
2445         <falsescoremode>=</falsescoremode>
2446         <falsescore>0.0000000</falsescore>
2447         <falsepenalty></falsepenalty>
2448         <falsenextnode>-1</falsenextnode>
2449         <falseanswernote>even-0-F </falseanswernote>
2450         <falsefeedback format="html">
2451           <text><![CDATA[<p>Your answer is not an even function. Look, \[ f(x)-f(-x)={@sa@} \neq 0.\]</p>]]></text>
2452         </falsefeedback>
2453       </node>
2454     </prt>
2455     <prt>
2456       <name>odd</name>
2457       <value>1.0000000</value>
2458       <autosimplify>1</autosimplify>
2459       <feedbackvariables>
2460         <text>sa:subst(x=-x,ans1)+ans1;</text>
2461       </feedbackvariables>
2462       <node>
2463         <name>0</name>
2464         <answertest>AlgEquiv</answertest>
2465         <sans>sa</sans>
2466         <tans>0</tans>
2467         <testoptions></testoptions>
2468         <quiet>0</quiet>
2469         <truescoremode>=</truescoremode>
2470         <truescore>1.0000000</truescore>
2471         <truepenalty></truepenalty>
2472         <truenextnode>-1</truenextnode>
2473         <trueanswernote>odd-0-T </trueanswernote>
2474         <truefeedback format="html">
2475           <text></text>
2476         </truefeedback>
2477         <falsescoremode>=</falsescoremode>
2478         <falsescore>0.0000000</falsescore>
2479         <falsepenalty></falsepenalty>
2480         <falsenextnode>-1</falsenextnode>
2481         <falseanswernote>odd-0-F </falseanswernote>
2482         <falsefeedback format="html">
2483           <text><![CDATA[<p>Your answer is not an odd function. Look, \[ f(x)+f(-x)={@sa@} \neq 0.\]</p>]]></text>
2484         </falsefeedback>
2485       </node>
2486     </prt>
2487     <prt>
2488       <name>oddeven</name>
2489       <value>2.0000000</value>
2490       <autosimplify>1</autosimplify>
2491       <feedbackvariables>
2492         <text>sa1:subst(x=-x,ans3)+ans3;
2493 sa2:ans3-subst(x=-x,ans3);</text>
2494       </feedbackvariables>
2495       <node>
2496         <name>0</name>
2497         <answertest>AlgEquiv</answertest>
2498         <sans>sa1</sans>
2499         <tans>0</tans>
2500         <testoptions></testoptions>
2501         <quiet>0</quiet>
2502         <truescoremode>=</truescoremode>
2503         <truescore>0.5000000</truescore>
2504         <truepenalty></truepenalty>
2505         <truenextnode>1</truenextnode>
2506         <trueanswernote>ODD</trueanswernote>
2507         <truefeedback format="html">
2508           <text></text>
2509         </truefeedback>
2510         <falsescoremode>=</falsescoremode>
2511         <falsescore>0.0000000</falsescore>
2512         <falsepenalty></falsepenalty>
2513         <falsenextnode>1</falsenextnode>
2514         <falseanswernote>oddeven-0-F </falseanswernote>
2515         <falsefeedback format="html">
2516           <text><![CDATA[<p>Your answer is not an odd function. Look, \[ f(x)+f(-x)={@sa1@} \neq 0.\]</p>]]></text>
2517         </falsefeedback>
2518       </node>
2519       <node>
2520         <name>1</name>
2521         <answertest>AlgEquiv</answertest>
2522         <sans>sa2</sans>
2523         <tans>0</tans>
2524         <testoptions></testoptions>
2525         <quiet>0</quiet>
2526         <truescoremode>+</truescoremode>
2527         <truescore>0.5000000</truescore>
2528         <truepenalty></truepenalty>
2529         <truenextnode>-1</truenextnode>
2530         <trueanswernote>EVEN</trueanswernote>
2531         <truefeedback format="html">
2532           <text></text>
2533         </truefeedback>
2534         <falsescoremode>+</falsescoremode>
2535         <falsescore>0.0000000</falsescore>
2536         <falsepenalty></falsepenalty>
2537         <falsenextnode>-1</falsenextnode>
2538         <falseanswernote>oddeven-1-F </falseanswernote>
2539         <falsefeedback format="html">
2540           <text><![CDATA[<p>Your answer is not an even function. Look, \[ f(x)-f(-x)={@sa2@} \neq 0.\]</p>]]></text>
2541         </falsefeedback>
2542       </node>
2543     </prt>
2544     <prt>
2545       <name>unique</name>
2546       <value>1.0000000</value>
2547       <autosimplify>1</autosimplify>
2548       <feedbackvariables>
2549         <text></text>
2550       </feedbackvariables>
2551       <node>
2552         <name>0</name>
2553         <answertest>AlgEquiv</answertest>
2554         <sans>ans4</sans>
2555         <tans>true</tans>
2556         <testoptions></testoptions>
2557         <quiet>0</quiet>
2558         <truescoremode>=</truescoremode>
2559         <truescore>1.0000000</truescore>
2560         <truepenalty></truepenalty>
2561         <truenextnode>-1</truenextnode>
2562         <trueanswernote>unique-0-T </trueanswernote>
2563         <truefeedback format="html">
2564           <text></text>
2565         </truefeedback>
2566         <falsescoremode>=</falsescoremode>
2567         <falsescore>0.0000000</falsescore>
2568         <falsepenalty></falsepenalty>
2569         <falsenextnode>-1</falsenextnode>
2570         <falseanswernote>unique-0-F </falseanswernote>
2571         <falsefeedback format="html">
2572           <text></text>
2573         </falsefeedback>
2574       </node>
2575     </prt>
2576     <qtest>
2577       <testcase>1</testcase>
2578       <testinput>
2579         <name>ans1</name>
2580         <value>x^3</value>
2581       </testinput>
2582       <testinput>
2583         <name>ans2</name>
2584         <value>cos(x)</value>
2585       </testinput>
2586       <testinput>
2587         <name>ans3</name>
2588         <value>0</value>
2589       </testinput>
2590       <testinput>
2591         <name>ans4</name>
2592         <value>true</value>
2593       </testinput>
2594       <expected>
2595         <name>even</name>
2596         <expectedscore>1.0000000</expectedscore>
2597         <expectedpenalty>0.0000000</expectedpenalty>
2598         <expectedanswernote>even-0-T</expectedanswernote>
2599       </expected>
2600       <expected>
2601         <name>odd</name>
2602         <expectedscore>1.0000000</expectedscore>
2603         <expectedpenalty>0.0000000</expectedpenalty>
2604         <expectedanswernote>odd-0-T</expectedanswernote>
2605       </expected>
2606       <expected>
2607         <name>oddeven</name>
2608         <expectedscore>1.0000000</expectedscore>
2609         <expectedpenalty>0.0000000</expectedpenalty>
2610         <expectedanswernote>EVEN</expectedanswernote>
2611       </expected>
2612       <expected>
2613         <name>unique</name>
2614         <expectedscore>1.0000000</expectedscore>
2615         <expectedpenalty>0.0000000</expectedpenalty>
2616         <expectedanswernote>unique-0-T</expectedanswernote>
2617       </expected>
2618     </qtest>
2619     <qtest>
2620       <testcase>2</testcase>
2621       <testinput>
2622         <name>ans1</name>
2623         <value>x^2</value>
2624       </testinput>
2625       <testinput>
2626         <name>ans2</name>
2627         <value>x^3</value>
2628       </testinput>
2629       <testinput>
2630         <name>ans3</name>
2631         <value>x^3</value>
2632       </testinput>
2633       <testinput>
2634         <name>ans4</name>
2635         <value>false</value>
2636       </testinput>
2637       <expected>
2638         <name>even</name>
2639         <expectedscore>0.0000000</expectedscore>
2640         <expectedpenalty>0.3333333</expectedpenalty>
2641         <expectedanswernote>even-0-F</expectedanswernote>
2642       </expected>
2643       <expected>
2644         <name>odd</name>
2645         <expectedscore>0.0000000</expectedscore>
2646         <expectedpenalty>0.3333333</expectedpenalty>
2647         <expectedanswernote>odd-0-F</expectedanswernote>
2648       </expected>
2649       <expected>
2650         <name>oddeven</name>
2651         <expectedscore>0.5000000</expectedscore>
2652         <expectedpenalty>0.3333333</expectedpenalty>
2653         <expectedanswernote>oddeven-1-F</expectedanswernote>
2654       </expected>
2655       <expected>
2656         <name>unique</name>
2657         <expectedscore>0.0000000</expectedscore>
2658         <expectedpenalty>0.3333333</expectedpenalty>
2659         <expectedanswernote>unique-0-F</expectedanswernote>
2660       </expected>
2661     </qtest>
2662   </question>
2663
2664 <!-- question: 23  -->
2665   <question type="stack">
2666     <name>
2667       <text>text_7_solve_quadratic</text>
2668     </name>
2669     <questiontext format="html">
2670       <text><![CDATA[<p></p><p>Solve {@first(ta)@}, by factoring and working line by line. &nbsp;Leave your answer in the form \({@v@}=\cdots \mbox{ or } {@v@}=\cdots\) in fully simplified form.</p><p>[[input:ans1]] [[validation:ans1]]</p>]]></text>
2671     </questiontext>
2672     <generalfeedback format="html">
2673       <text><![CDATA[<p>\[ {@stack_disp_arg(ta, true)@} \]</p>]]></text>
2674     </generalfeedback>
2675     <defaultgrade>1.0000000</defaultgrade>
2676     <penalty>0.1000000</penalty>
2677     <hidden>0</hidden>
2678     <questionvariables>
2679       <text>n1:2
2680 n2:n1+3
2681 v:x
2682 p:expand((v-n1)*(v-n2))
2683 simp:false
2684 ta:[p=0,(v-n1)*(v-n2)=0,v-n1=0 nounor v-n2=0,v=n1 nounor v=n2]</text>
2685     </questionvariables>
2686     <specificfeedback format="html">
2687       <text>[[feedback:prt1]]</text>
2688     </specificfeedback>
2689     <questionnote>
2690       <text>{@ta@}</text>
2691     </questionnote>
2692     <questionsimplify>1</questionsimplify>
2693     <assumepositive>0</assumepositive>
2694     <assumereal>0</assumereal>
2695     <prtcorrect format="html">
2696       <text>Correct answer, well done.</text>
2697     </prtcorrect>
2698     <prtpartiallycorrect format="html">
2699       <text>Your answer is partially correct.</text>
2700     </prtpartiallycorrect>
2701     <prtincorrect format="html">
2702       <text>Incorrect answer.</text>
2703     </prtincorrect>
2704     <multiplicationsign>none</multiplicationsign>
2705     <sqrtsign>1</sqrtsign>
2706     <complexno>i</complexno>
2707     <inversetrig>cos-1</inversetrig>
2708     <matrixparens>[</matrixparens>
2709     <variantsselectionseed></variantsselectionseed>
2710     <input>
2711       <name>ans1</name>
2712       <type>equiv</type>
2713       <tans>ta</tans>
2714       <boxsize>15</boxsize>
2715       <strictsyntax>1</strictsyntax>
2716       <insertstars>5</insertstars>
2717       <syntaxhint>firstline</syntaxhint>
2718       <syntaxattribute>0</syntaxattribute>
2719       <forbidwords></forbidwords>
2720       <allowwords></allowwords>
2721       <forbidfloat>1</forbidfloat>
2722       <requirelowestterms>0</requirelowestterms>
2723       <checkanswertype>0</checkanswertype>
2724       <mustverify>1</mustverify>
2725       <showvalidation>1</showvalidation>
2726       <options>firstline</options>
2727     </input>
2728     <prt>
2729       <name>prt1</name>
2730       <value>1.0000000</value>
2731       <autosimplify>0</autosimplify>
2732       <feedbackvariables>
2733         <text>foundfac1:ev(sublist(ans1,lambda([ex], equationp(ex) and is(rhs(ex)=0))),simp);
2734 foundfac2:ev(any_listp(lambda([ex], second(ATFacForm(lhs(ex),lhs(ex),x))), foundfac1),simp);</text>
2735       </feedbackvariables>
2736       <node>
2737         <name>0</name>
2738         <answertest>EquivFirst</answertest>
2739         <sans>ans1</sans>
2740         <tans>ta</tans>
2741         <testoptions>x</testoptions>
2742         <quiet>0</quiet>
2743         <truescoremode>=</truescoremode>
2744         <truescore>1.0000000</truescore>
2745         <truepenalty></truepenalty>
2746         <truenextnode>1</truenextnode>
2747         <trueanswernote>prt1-1-T</trueanswernote>
2748         <truefeedback format="html">
2749           <text></text>
2750         </truefeedback>
2751         <falsescoremode>=</falsescoremode>
2752         <falsescore>0.0000000</falsescore>
2753         <falsepenalty></falsepenalty>
2754         <falsenextnode>-1</falsenextnode>
2755         <falseanswernote>prt1-1-F</falseanswernote>
2756         <falsefeedback format="html">
2757           <text></text>
2758         </falsefeedback>
2759       </node>
2760       <node>
2761         <name>1</name>
2762         <answertest>EqualComAss</answertest>
2763         <sans>last(ans1)</sans>
2764         <tans>last(ta)</tans>
2765         <testoptions></testoptions>
2766         <quiet>1</quiet>
2767         <truescoremode>+</truescoremode>
2768         <truescore>0.0000000</truescore>
2769         <truepenalty></truepenalty>
2770         <truenextnode>2</truenextnode>
2771         <trueanswernote>prt1-2-T</trueanswernote>
2772         <truefeedback format="html">
2773           <text></text>
2774         </truefeedback>
2775         <falsescoremode>=</falsescoremode>
2776         <falsescore>0.0000000</falsescore>
2777         <falsepenalty></falsepenalty>
2778         <falsenextnode>2</falsenextnode>
2779         <falseanswernote>prt1-2-F</falseanswernote>
2780         <falsefeedback format="html">
2781           <text><![CDATA[Your answer is not in the correct form, which is \({@v@}=\cdots \mbox{ or } {@v@}=\cdots\) where numbers are fully simplified.<p><br></p>]]></text>
2782         </falsefeedback>
2783       </node>
2784       <node>
2785         <name>2</name>
2786         <answertest>AlgEquiv</answertest>
2787         <sans>foundfac2</sans>
2788         <tans>true</tans>
2789         <testoptions></testoptions>
2790         <quiet>1</quiet>
2791         <truescoremode>+</truescoremode>
2792         <truescore>0.0000000</truescore>
2793         <truepenalty></truepenalty>
2794         <truenextnode>-1</truenextnode>
2795         <trueanswernote>prt1-3-T</trueanswernote>
2796         <truefeedback format="html">
2797           <text></text>
2798         </truefeedback>
2799         <falsescoremode>=</falsescoremode>
2800         <falsescore>0.0000000</falsescore>
2801         <falsepenalty></falsepenalty>
2802         <falsenextnode>-1</falsenextnode>
2803         <falseanswernote>prt1-3-F</falseanswernote>
2804         <falsefeedback format="html">
2805           <text><![CDATA[<p>The question asked you to solve the equation by factoring the equation. &nbsp;The factored form should appear as one line in your working.</p>]]></text>
2806         </falsefeedback>
2807       </node>
2808     </prt>
2809     <qtest>
2810       <testcase>1</testcase>
2811       <testinput>
2812         <name>ans1</name>
2813         <value>ta</value>
2814       </testinput>
2815       <expected>
2816         <name>prt1</name>
2817         <expectedscore>1.0000000</expectedscore>
2818         <expectedpenalty>0.0000000</expectedpenalty>
2819         <expectedanswernote>prt1-3-T</expectedanswernote>
2820       </expected>
2821     </qtest>
2822     <qtest>
2823       <testcase>2</testcase>
2824       <testinput>
2825         <name>ans1</name>
2826         <value>[p=0, (x-n1)*(x-n1) = 0, x=n1 nounor n2]</value>
2827       </testinput>
2828       <expected>
2829         <name>prt1</name>
2830         <expectedscore></expectedscore>
2831         <expectedpenalty></expectedpenalty>
2832         <expectedanswernote>NULL</expectedanswernote>
2833       </expected>
2834     </qtest>
2835     <qtest>
2836       <testcase>3</testcase>
2837       <testinput>
2838         <name>ans1</name>
2839         <value> [p=0,x-n1 = 0 nounor x-n2 = 0,x = n1 nounor x = n2]</value>
2840       </testinput>
2841       <expected>
2842         <name>prt1</name>
2843         <expectedscore>0.0000000</expectedscore>
2844         <expectedpenalty>0.1000000</expectedpenalty>
2845         <expectedanswernote>prt1-3-F</expectedanswernote>
2846       </expected>
2847     </qtest>
2848     <qtest>
2849       <testcase>4</testcase>
2850       <testinput>
2851         <name>ans1</name>
2852         <value>[p=0,(x-(n1+n2)/2)^2-ev((n1+n2)^2/4-n1*n2,simp)=0,(x-(n1+n2)/2)^2=ev((n1+n2)^2/4-n1*n2,simp),(x-(n1+n2)/2)=+-ev(sqrt((n1+n2)^2/4-n1*n2),simp),x=ev((n1+n2)/2+sqrt((n1+n2)^2/4-n1*n2),simp) nounor x=ev((n1+n2)/2-sqrt((n1+n2)^2/4-n1*n2),simp)]  </value>
2853       </testinput>
2854       <expected>
2855         <name>prt1</name>
2856         <expectedscore>0.0000000</expectedscore>
2857         <expectedpenalty>0.1000000</expectedpenalty>
2858         <expectedanswernote>prt1-3-F</expectedanswernote>
2859       </expected>
2860     </qtest>
2861   </question>
2862
2863 <!-- question: 0  -->
2864   <question type="category">
2865     <category>
2866         <text>$course$/Default for Scratch/input_samples</text>
2867
2868     </category>
2869   </question>
2870
2871 <!-- question: 10  -->
2872   <question type="stack">
2873     <name>
2874       <text>Textarea test</text>
2875     </name>
2876     <questiontext format="html">
2877       <text><![CDATA[Dummy maths input:&nbsp; \({@ta@}\).<br>[[input:ans1]] [[validation:ans1]]]]></text>
2878     </questiontext>
2879     <generalfeedback format="html">
2880       <text></text>
2881     </generalfeedback>
2882     <defaultgrade>1.0000000</defaultgrade>
2883     <penalty>0.1000000</penalty>
2884     <hidden>0</hidden>
2885     <questionvariables>
2886       <text>ta:[x=1,x=2]</text>
2887     </questionvariables>
2888     <specificfeedback format="html">
2889       <text><![CDATA[[[feedback:prt1]]&lt;/p&gt;&lt;div&gt;]]></text>
2890     </specificfeedback>
2891     <questionnote>
2892       <text>vendor/bin/phpunit --group qtype_stack</text>
2893     </questionnote>
2894     <questionsimplify>1</questionsimplify>
2895     <assumepositive>0</assumepositive>
2896     <assumereal>0</assumereal>
2897     <prtcorrect format="html">
2898       <text>Correct answer, well done.</text>
2899     </prtcorrect>
2900     <prtpartiallycorrect format="html">
2901       <text>Your answer is partially correct.</text>
2902     </prtpartiallycorrect>
2903     <prtincorrect format="html">
2904       <text>Incorrect answer.</text>
2905     </prtincorrect>
2906     <multiplicationsign>dot</multiplicationsign>
2907     <sqrtsign>1</sqrtsign>
2908     <complexno>i</complexno>
2909     <inversetrig>cos-1</inversetrig>
2910     <matrixparens>[</matrixparens>
2911     <variantsselectionseed></variantsselectionseed>
2912     <input>
2913       <name>ans1</name>
2914       <type>textarea</type>
2915       <tans>ta</tans>
2916       <boxsize>15</boxsize>
2917       <strictsyntax>1</strictsyntax>
2918       <insertstars>1</insertstars>
2919       <syntaxhint></syntaxhint>
2920       <syntaxattribute>0</syntaxattribute>
2921       <forbidwords></forbidwords>
2922       <allowwords></allowwords>
2923       <forbidfloat>1</forbidfloat>
2924       <requirelowestterms>0</requirelowestterms>
2925       <checkanswertype>0</checkanswertype>
2926       <mustverify>1</mustverify>
2927       <showvalidation>1</showvalidation>
2928       <options></options>
2929     </input>
2930     <prt>
2931       <name>prt1</name>
2932       <value>1.0000000</value>
2933       <autosimplify>1</autosimplify>
2934       <feedbackvariables>
2935         <text></text>
2936       </feedbackvariables>
2937       <node>
2938         <name>0</name>
2939         <answertest>AlgEquiv</answertest>
2940         <sans>ans1</sans>
2941         <tans>ta</tans>
2942         <testoptions></testoptions>
2943         <quiet>0</quiet>
2944         <truescoremode>=</truescoremode>
2945         <truescore>1.0000000</truescore>
2946         <truepenalty></truepenalty>
2947         <truenextnode>-1</truenextnode>
2948         <trueanswernote>prt1-1-T</trueanswernote>
2949         <truefeedback format="html">
2950           <text></text>
2951         </truefeedback>
2952         <falsescoremode>=</falsescoremode>
2953         <falsescore>0.0000000</falsescore>
2954         <falsepenalty></falsepenalty>
2955         <falsenextnode>-1</falsenextnode>
2956         <falseanswernote>prt1-1-F</falseanswernote>
2957         <falsefeedback format="html">
2958           <text></text>
2959         </falsefeedback>
2960       </node>
2961     </prt>
2962   </question>
2963
2964 <!-- question: 11  -->
2965   <question type="stack">
2966     <name>
2967       <text>True/false</text>
2968     </name>
2969     <questiontext format="html">
2970       <text><![CDATA[<p>All generalizations are false: [[input:ans1]] [[validation:ans1]]</p><p><br></p>]]></text>
2971     </questiontext>
2972     <generalfeedback format="html">
2973       <text></text>
2974     </generalfeedback>
2975     <defaultgrade>1.0000000</defaultgrade>
2976     <penalty>0.1000000</penalty>
2977     <hidden>0</hidden>
2978     <questionvariables>
2979       <text></text>
2980     </questionvariables>
2981     <specificfeedback format="html">
2982       <text>[[feedback:prt1]]</text>
2983     </specificfeedback>
2984     <questionnote>
2985       <text></text>
2986     </questionnote>
2987     <questionsimplify>1</questionsimplify>
2988     <assumepositive>0</assumepositive>
2989     <assumereal>0</assumereal>
2990     <prtcorrect format="html">
2991       <text>Correct answer, well done.</text>
2992     </prtcorrect>
2993     <prtpartiallycorrect format="html">
2994       <text>Your answer is partially correct.</text>
2995     </prtpartiallycorrect>
2996     <prtincorrect format="html">
2997       <text>Incorrect answer.</text>
2998     </prtincorrect>
2999     <multiplicationsign>dot</multiplicationsign>
3000     <sqrtsign>1</sqrtsign>
3001     <complexno>i</complexno>
3002     <inversetrig>cos-1</inversetrig>
3003     <matrixparens>[</matrixparens>
3004     <variantsselectionseed></variantsselectionseed>
3005     <input>
3006       <name>ans1</name>
3007       <type>boolean</type>
3008       <tans>false</tans>
3009       <boxsize>15</boxsize>
3010       <strictsyntax>1</strictsyntax>
3011       <insertstars>0</insertstars>
3012       <syntaxhint></syntaxhint>
3013       <syntaxattribute>0</syntaxattribute>
3014       <forbidwords></forbidwords>
3015       <allowwords></allowwords>
3016       <forbidfloat>1</forbidfloat>
3017       <requirelowestterms>0</requirelowestterms>
3018       <checkanswertype>0</checkanswertype>
3019       <mustverify>1</mustverify>
3020       <showvalidation>1</showvalidation>
3021       <options></options>
3022     </input>
3023     <prt>
3024       <name>prt1</name>
3025       <value>1.0000000</value>
3026       <autosimplify>1</autosimplify>
3027       <feedbackvariables>
3028         <text></text>
3029       </feedbackvariables>
3030       <node>
3031         <name>0</name>
3032         <answertest>AlgEquiv</answertest>
3033         <sans>ans1</sans>
3034         <tans>false</tans>
3035         <testoptions></testoptions>
3036         <quiet>0</quiet>
3037         <truescoremode>=</truescoremode>
3038         <truescore>0.5000000</truescore>
3039         <truepenalty></truepenalty>
3040         <truenextnode>-1</truenextnode>
3041         <trueanswernote>prt1-1-T</trueanswernote>
3042         <truefeedback format="html">
3043           <text><![CDATA[<p>Who knows!</p>]]></text>
3044         </truefeedback>
3045         <falsescoremode>=</falsescoremode>
3046         <falsescore>0.5000000</falsescore>
3047         <falsepenalty></falsepenalty>
3048         <falsenextnode>-1</falsenextnode>
3049         <falseanswernote>prt1-1-F</falseanswernote>
3050         <falsefeedback format="html">
3051           <text><![CDATA[<p>Who knows!<br></p>]]></text>
3052         </falsefeedback>
3053       </node>
3054     </prt>
3055   </question>
3056
3057 <!-- question: 12  -->
3058   <question type="stack">
3059     <name>
3060       <text>Units</text>
3061     </name>
3062     <questiontext format="html">
3063       <text><![CDATA[<p>What is gravity?</p><p>[[input:ans1]]</p><div>[[validation:ans1]]</div>]]></text>
3064     </questiontext>
3065     <generalfeedback format="html">
3066       <text></text>
3067     </generalfeedback>
3068     <defaultgrade>1.0000000</defaultgrade>
3069     <penalty>0.1000000</penalty>
3070     <hidden>0</hidden>
3071     <questionvariables>
3072       <text>ta:9.81*m*s^-2</text>
3073     </questionvariables>
3074     <specificfeedback format="html">
3075       <text>[[feedback:prt1]]</text>
3076     </specificfeedback>
3077     <questionnote>
3078       <text></text>
3079     </questionnote>
3080     <questionsimplify>1</questionsimplify>
3081     <assumepositive>0</assumepositive>
3082     <assumereal>0</assumereal>
3083     <prtcorrect format="html">
3084       <text>Correct answer, well done.</text>
3085     </prtcorrect>
3086     <prtpartiallycorrect format="html">
3087       <text>Your answer is partially correct.</text>
3088     </prtpartiallycorrect>
3089     <prtincorrect format="html">
3090       <text>Incorrect answer.</text>
3091     </prtincorrect>
3092     <multiplicationsign>dot</multiplicationsign>
3093     <sqrtsign>1</sqrtsign>
3094     <complexno>i</complexno>
3095     <inversetrig>cos-1</inversetrig>
3096     <matrixparens>[</matrixparens>
3097     <variantsselectionseed></variantsselectionseed>
3098     <input>
3099       <name>ans1</name>
3100       <type>units</type>
3101       <tans>ta</tans>
3102       <boxsize>15</boxsize>
3103       <strictsyntax>1</strictsyntax>
3104       <insertstars>0</insertstars>
3105       <syntaxhint></syntaxhint>
3106       <syntaxattribute>0</syntaxattribute>
3107       <forbidwords></forbidwords>
3108       <allowwords></allowwords>
3109       <forbidfloat>1</forbidfloat>
3110       <requirelowestterms>0</requirelowestterms>
3111       <checkanswertype>0</checkanswertype>
3112       <mustverify>1</mustverify>
3113       <showvalidation>1</showvalidation>
3114       <options></options>
3115     </input>
3116     <prt>
3117       <name>prt1</name>
3118       <value>1.0000000</value>
3119       <autosimplify>1</autosimplify>
3120       <feedbackvariables>
3121         <text></text>
3122       </feedbackvariables>
3123       <node>
3124         <name>0</name>
3125         <answertest>Units</answertest>
3126         <sans>ans1</sans>
3127         <tans>ta</tans>
3128         <testoptions>3</testoptions>
3129         <quiet>0</quiet>
3130         <truescoremode>=</truescoremode>
3131         <truescore>1.0000000</truescore>
3132         <truepenalty></truepenalty>
3133         <truenextnode>-1</truenextnode>
3134         <trueanswernote>prt1-1-T</trueanswernote>
3135         <truefeedback format="html">
3136           <text></text>
3137         </truefeedback>
3138         <falsescoremode>=</falsescoremode>
3139         <falsescore>0.0000000</falsescore>
3140         <falsepenalty></falsepenalty>
3141         <falsenextnode>-1</falsenextnode>
3142         <falseanswernote>prt1-1-F</falseanswernote>
3143         <falsefeedback format="html">
3144           <text></text>
3145         </falsefeedback>
3146       </node>
3147     </prt>
3148   </question>
3149
3150 </quiz>