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[Stack-cvs] stack-dev/sample_questions/diagnostictests DiagnosticTests.xml, NONE, 1.1.2.1 ReadMe.txt, NONE, 1.1.2.1 diagnostic-proof-Wason.xml, 1.1.2.2, NONE diagnostic-proof-studentprofessor.xml, 1.1.2.2, NONE
Update of /cvsroot/stack/stack-dev/sample_questions/diagnostictests In directory sfp-cvsdas-3.v30.ch3.sourceforge.com:/tmp/cvs-serv26591 Added Files: Tag: STACK2_2 DiagnosticTests.xml ReadMe.txt Removed Files: Tag: STACK2_2 diagnostic-proof-Wason.xml diagnostic-proof-studentprofessor.xml Log Message: --- diagnostic-proof-Wason.xml DELETED --- --- NEW FILE: DiagnosticTests.xml --- <?xml version="1.0" encoding="UTF-8"?> <mathQuiz version="2.0" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:lom="http://www.imsglobal.org/xsd/imsmd_v1p2"><assessmentItem version="2.0" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:lom="http://www.imsglobal.org/xsd/imsmd_v1p2"><questionCasValues><questionStem type="CasText"><castext>Express \[@f@\] as a sum of a linear function and a rational function with a linear numerator and denominator @den@. #ans1# <IEfeedback>ans1</IEfeedback> <PRTfeedback>Result</PRTfeedback></castext><forbidFloats>false</forbidFloats><simplify>true</simplify></questionStem><questionVariables type="RawKeyVal"><rawKeyVals>aval = rand(8) + 2; bval = 2*rand(2)-1; cval = rand(8)+2; mag_d = rand(4)+2; sign_d = 2*rand(2)-1; dval = mag_d*sign_d; gval = rand(8) + 2; mag_h = rand(4)+2; sign_h = 2*rand(2)-1; hval = mag_h*sign_h; mval = rand(8) + 2; mag_n = rand(4)+2; sign_n = 2*rand(2)-1; nval = mag_n*sign_n; den = aval * x^2 + bval * x + cval; num = expand(den * (gval*x + hval)) + mval*x + nval; f = num/den; p = g*x+h; q = m*x+n; denq = expand(den*q); answer = partfrac(f,x)</rawKeyVals><forbidFloats>false</forbidFloats><simplify>true</simplify></questionVariables><workedSolution type="CasText"><castext>We note that the numerator @num@ is cubic and that the denominator @den@ is quadratic. Dividing @num@ by @den@ we obtain a quotient with a linear numerator of the form @p@ and a linear term of the form @q@, that is \[@f@=\frac{@p@}{@den@}+@q@\mbox{.}\] Multiplying through by @den@ \[@num@ = (@den@)(@q@)+@p@\mbox{.}\] Expanding out the brackets we find \[@num@ = @denq@+@p@\mbox{.}\] [...1477 lines suppressed...] <p>How confident are you (as a %)? #con1# <IEfeedback>con1</IEfeedback></p></castext><forbidFloats>false</forbidFloats><simplify>true</simplify></questionStem><questionVariables type="RawKeyVal"><rawKeyVals>p = (rand(7) + 1) * 12; n = p * 5/12; m = p * 7/12; r = p / 12</rawKeyVals><forbidFloats>false</forbidFloats><simplify>true</simplify></questionVariables><workedSolution type="CasText"><castext><p>We first work out the total number of parts that are to be shared out. We know the ratio is \(5:7\), so the total number of parts is \(5+7=12\).</p> So we divide @p@ by 12 to get @r@, which is the value of each part.</p><p> To work out how much \(A\) gets we multiply @r@ by \(5\). </p><p> So \(A\) gets &pound; @n@.</p></castext><forbidFloats>false</forbidFloats><simplify>true</simplify></workedSolution><questionNote type="CasText"><castext>@p@ split in the ratio \(5:7\) between \(A\) and \(B\) means \(A\) gets &pound; @n@.</castext><forbidFloats>false</forbidFloats><simplify>true</simplify></questionNote></questionCasValues><questionparts><questionpart><name>ans1</name><inputType type="Meta"><selection>Algebraic Input</selection><default>Algebraic Input</default><values/></inputType><boxsize>20</boxsize><teachersAns type="CasString"><casString>n</casString><forbidFloats>false</forbidFloats><simplify>true</simplify></teachersAns><studentAnsKey>ans1</studentAnsKey><syntax 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</selection><default></default><values/></dc:description><dc:publisher stackname="questionPublisher" type="Meta"><selection>http://matsrv6.bham.ac.uk/stem</selection><default>http://matsrv6.bham.ac.uk/stem</default><values/></dc:publisher><dc:format stackname="questionFormat" type="Meta"><selection>text/xml; charset="utf-8"</selection><default>text/xml; charset="utf-8"</default><values><value key="0">application</value><value key="1">audio</value><value key="2">image</value><value key="3">message</value><value key="4">model</value><value key="5">text</value><value key="6">video</value><value key="7">multipart</value></values></dc:format><lom:context stackname="questionLearningContext" type="Meta"><selection>unspecified</selection><default>unspecified</default><values><value key="PrimaryEducation">Primary Education</value><value key="SecondaryEducation">Secondary Education</value><value key="HigherEducation">Higher Education</value><value key="UniversityFirstCycle">University First 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class='correct'>Correct answer, well done.</span></selected></stackoption><stackoption><name>FeedbackGenericIncorrect</name><type>html</type><default><span class='incorrect'>Incorrect answer.</span></default><casKey></casKey><casType></casType><selected><span class='incorrect'>Incorrect answer.</span></selected></stackoption><stackoption><name>FeedbackGenericPCorrect</name><type>html</type><default><span class='partially'>Your answer is partially correct.</span></default><casKey></casKey><casType></casType><selected><span class='partially'>Your answer is partially correct.</span></selected></stackoption><stackoption><name>OptWorkedSol</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>false</selected></stackoption></ItemOptions><ItemTests><test><col><key>IE_ans1</key><value>n</value></col><col><key>PRT_PotResTree_1</key><value>NUM-RTP-TRUE</value></col><col><key>IE_con1</key><value></value></col></test><test><col><key>IE_ans1</key><value>m</value></col><col><key>PRT_PotResTree_1</key><value>WRONG_SHARE</value></col><col><key>IE_con1</key><value></value></col></test><test><col><key>IE_ans1</key><value>61</value></col><col><key>PRT_PotResTree_1</key><value>NUM-RTP-1-FALSE</value></col><col><key>IE_con1</key><value></value></col></test></ItemTests></assessmentItem><assessmentItem version="2.0" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:lom="http://www.imsglobal.org/xsd/imsmd_v1p2"><questionCasValues><questionStem type="CasText"><castext><p>Given that \(p=@log_x@\) and \(q=@log_y@\) give \(@log_xmy@\) as a function of \(p\) and \(q\).</p> #ans1# <p><IEfeedback>ans1</IEfeedback> </p> <p><PRTfeedback>Result</PRTfeedback></p> <p>How confident are you (as a %)? #con1# <IEfeedback>con1</IEfeedback></p></castext><forbidFloats>false</forbidFloats><simplify>true</simplify></questionStem><questionVariables type="RawKeyVal"><rawKeyVals>m = rand(4)+2; xm = x^m; xmy = xm * y; mp_plus_q = m * p + q; log_x = log(x); log_y = log(y); log_xm = log(xm); log_xmy = log(xmy); mlog_x = m*log_x; mlog_x_plus_log_y = mlog_x + log_y</rawKeyVals><forbidFloats>false</forbidFloats><simplify>true</simplify></questionVariables><workedSolution type="CasText"><castext>Below are the basic rules of logarithms. <hint>alg_logarithms</hint> </p>Given \(p=@log_x@\) and \(q=@log_y@\) then, \[@log_xmy@ = \ln \left(@xm@\right)+@log_y@ = @mlog_x_plus_log_y@ = @mp_plus_q@.\]</castext><forbidFloats>false</forbidFloats><simplify>true</simplify></workedSolution><questionNote type="CasText"><castext>\[@log_xmy@=@mp_plus_q@.\]</castext><forbidFloats>false</forbidFloats><simplify>true</simplify></questionNote></questionCasValues><questionparts><questionpart><name>ans1</name><inputType type="Meta"><selection>Algebraic Input</selection><default>Algebraic Input</default><values/></inputType><boxsize>20</boxsize><teachersAns type="CasString"><casString>mp_plus_q</casString><forbidFloats>false</forbidFloats><simplify>true</simplify></teachersAns><studentAnsKey>ans1</studentAnsKey><syntax type="Meta"><selection></selection><default></default><values/></syntax><stackoption><name>formalSyntax</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>true</selected></stackoption><stackoption><name>forbidFloats</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey>OPT_NoFloats</casKey><casType>ex</casType><selected>true</selected></stackoption><stackoption><name>insertStars</name><type>list</type><default>false</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>false</selected></stackoption><stackoption><name>sameType</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>true</selected></stackoption><stackoption><name>lowestTerms</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey>OPT_LowestTerms</casKey><casType>ex</casType><selected>true</selected></stackoption><inputTypesParameters/></questionpart><questionpart><name>con1</name><inputType type="Meta"><selection>Slider</selection><default>Algebraic Input</default><values/></inputType><boxsize>200</boxsize><teachersAns type="CasString"><casString>0</casString><forbidFloats>false</forbidFloats><simplify>true</simplify></teachersAns><studentAnsKey>con1</studentAnsKey><syntax type="Meta"><selection></selection><default></default><values/></syntax><stackoption><name>formalSyntax</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>true</selected></stackoption><stackoption><name>forbidFloats</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey>OPT_NoFloats</casKey><casType>ex</casType><selected>true</selected></stackoption><stackoption><name>insertStars</name><type>list</type><default>false</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>false</selected></stackoption><stackoption><name>sameType</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>true</selected></stackoption><stackoption><name>lowestTerms</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey>OPT_LowestTerms</casKey><casType>ex</casType><selected>true</selected></stackoption><inputTypesParameters/></questionpart></questionparts><PotentialResponseTrees><PotentialResponseTree><prtname>PotResTree_Result</prtname><questionValue>1</questionValue><autoSimplify>true</autoSimplify><feedbackVariables></feedbackVariables><description type="Meta"><selection></selection><default></default><values/></description><PotentialResponses><PR id="0"><answerTest>Equal_Com_Ass</answerTest><teachersAns>mp_plus_q</teachersAns><studentAns>ans1</studentAns><testoptions></testoptions><quietAnsTest></quietAnsTest><true><rawModMark>=</rawModMark><rawMark>1</rawMark><feedback></feedback><ansnote>LGE-LLG-TRUE</ansnote><nextPR>-1</nextPR></true><false><rawModMark>=</rawModMark><rawMark>0</rawMark><feedback></feedback><ansnote>LGE-LLG-FALSE</ansnote><nextPR>1</nextPR></false><teacherNote></teacherNote></PR><PR id="1"><answerTest>AlgEquiv</answerTest><teachersAns>p^m+q</teachersAns><studentAns>ans1</studentAns><testoptions></testoptions><quietAnsTest></quietAnsTest><true><rawModMark>=</rawModMark><rawMark>0</rawMark><feedback>You seem to have that \(\ln\left(x^{@m@}\right)=\left(\ln \left( x \right) \right)^{@m@}\). This is only true given \(x=1\), in which case \[\ln \left(x\right) = \ln \left(@xm@\right) = \left(\ln \left( x \right) \right)^{@m@} = \ln \left(1\right) = 0.\] In general \[\ln \left(@xm@\right) = @mlog_x@.\]</feedback><ansnote>POWER</ansnote><nextPR>-1</nextPR></true><false><rawModMark>=</rawModMark><rawMark>0</rawMark><feedback></feedback><ansnote>LGE-LLG-1-FALSE</ansnote><nextPR>2</nextPR></false><teacherNote></teacherNote></PR><PR id="2"><answerTest>AlgEquiv</answerTest><teachersAns>m*p*q</teachersAns><studentAns>ans1</studentAns><testoptions></testoptions><quietAnsTest></quietAnsTest><true><rawModMark>=</rawModMark><rawMark>0</rawMark><feedback>You seem to have that \(\ln\left(xmy\right)\) is \(\ln \left( xm \right)\) multiplied by \(\ln \left( x \right)\). In general \[\ln\left(xmy\right)=\ln \left( xm \right)+\ln \left( x \right).\]</feedback><ansnote>NO_ADDITION</ansnote><nextPR>-1</nextPR></true><false><rawModMark>=</rawModMark><rawMark>0</rawMark><feedback></feedback><ansnote>LGE-LLG-2-FALSE</ansnote><nextPR>-1</nextPR></false><teacherNote></teacherNote></PR></PotentialResponses></PotentialResponseTree></PotentialResponseTrees><MetaData><dc:Publisher stackname="lastUserEditor" type="Meta"><selection></selection><default></default><values/></dc:Publisher><dc:language stackname="language" type="Meta"><selection>en</selection><default>en</default><values><value key="en">en</value><value key="fr">fr</value><value key="nl">nl</value><value key="es">es</value><value key="unspecified">Unspecified</value></values></dc:language><dc:title stackname="questionName" type="Meta"><selection>Diagnostic_LGE-LLG_1</selection><default></default><values/></dc:title><dc:description stackname="questionDescription" type="Meta"><selection>Apply laws of 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In April 2010 the National HE STEM Programme (http://www.stemprogramme.com) funded a mini-project stimulating Techniques in Entry-level Mathematics (STEM) with the STACK computer aided assessment (CAA) system}. The aims of this project are to take existing diagnostic tests in core mathematics and develop similar automatic tests for the STACK computer aided assessment system. The outcome of these tests will be a user profile which links outcomes to existing online learning materials. See http://web.mat.bham.ac.uk/C.J.Sangwin/projects/2010STEM/ The questions in this folder are the results of this project. These questions files are released under Creative Commons Attribution-Share Alike. http://creativecommons.org/licenses/by-sa/2.0/uk/ |
