Update STACK sample materials.

samplequestions/stacklibrary/Algebra-Refresher/02-Factorisation-of-whole-numbers/AlgMap-2-1.xml

@@ -25,7 +25,7 @@ ta:factor(n);</text>
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
     </specificfeedback>
     <questionnote format="moodle_auto_format">
-      <text>{@n@} = {@ta@} </text>
+      <text>{@n@} = {@ta@}</text>
     </questionnote>
     <questiondescription format="moodle_auto_format">
       <text/>

samplequestions/stacklibrary/Algebra-Refresher/02-Factorisation-of-whole-numbers/AlgMap-2-2.xml

@@ -20,8 +20,7 @@
     <questionvariables>
       <text>a:2^(rand(1)+1)*3^(rand(2))*5^(rand(2));
 b:2^(rand(1)+1)*3^(rand(2))*5^(rand(2))*7;
-ta:ratsimp(rootscontract(radcan(sqrt(a)*sqrt(b))));
-</text>
+ta:ratsimp(rootscontract(radcan(sqrt(a)*sqrt(b))));</text>
     </questionvariables>
     <specificfeedback format="html">
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>

samplequestions/stacklibrary/Algebra-Refresher/02-Factorisation-of-whole-numbers/AlgMap-2-3.xml

@@ -32,7 +32,7 @@ ta:gcd(a,b);</text>
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
     </specificfeedback>
     <questionnote format="moodle_auto_format">
-      <text>(Hcf) of \({@a@}\) and \({@b@}\) is \({@ta@}\). </text>
+      <text>(Hcf) of \({@a@}\) and \({@b@}\) is \({@ta@}\).</text>
     </questionnote>
     <questiondescription format="moodle_auto_format">
       <text/>

samplequestions/stacklibrary/Algebra-Refresher/02-Factorisation-of-whole-numbers/AlgMap-2-4.xml

@@ -33,7 +33,7 @@ ta:lcm(a,b);</text>
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
     </specificfeedback>
     <questionnote format="moodle_auto_format">
-      <text>(LCM) of \({@a@}\) and \({@b@}\) is \({@ta@}\). </text>
+      <text>(LCM) of \({@a@}\) and \({@b@}\) is \({@ta@}\).</text>
     </questionnote>
     <questiondescription format="moodle_auto_format">
       <text/>

samplequestions/stacklibrary/Algebra-Refresher/03-Addition-and-subtraction-of-fractions/AlgMap-3-1.xml

@@ -26,14 +26,13 @@ d:b;
 c:d+1;
 ta:(a/b)+(c/d);
 lcm:lcm(b,d);
-simp:false;
-</text>
+simp:false;</text>
     </questionvariables>
     <specificfeedback format="html">
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
     </specificfeedback>
     <questionnote format="moodle_auto_format">
-      <text>\[{@a/b@}+{@c/d@} = {@ta@}.\] </text>
+      <text>\[{@a/b@}+{@c/d@} = {@ta@}.\]</text>
     </questionnote>
     <questiondescription format="moodle_auto_format">
       <text/>

samplequestions/stacklibrary/Algebra-Refresher/03-Addition-and-subtraction-of-fractions/AlgMap-3-2.xml

@@ -26,8 +26,7 @@ d:b;
 c:d+rand(3)+1;
 ta:(a/b)-(c/d);
 lcm:lcm(b,d);
-simp:false;
-</text>
+simp:false;</text>
     </questionvariables>
     <specificfeedback format="html">
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>

samplequestions/stacklibrary/Algebra-Refresher/03-Addition-and-subtraction-of-fractions/AlgMap-3-3.xml

@@ -27,8 +27,7 @@ d:b+1+2*rand(3);
 c:d+rand(3)+1;
 ta:(a/b)+(c/d);
 lcm:lcm(b,d);
-simp:false;
-</text>
+simp:false;</text>
     </questionvariables>
     <specificfeedback format="html">
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>

samplequestions/stacklibrary/Algebra-Refresher/03-Addition-and-subtraction-of-fractions/AlgMap-3-4.xml

@@ -27,8 +27,7 @@ d:rand([3,7,11]);
 c:rand([2,5,13])^rand([0,1]);
 ta:(a/b)-(c/d);
 lcm:lcm(b,d);
-simp:false;
-</text>
+simp:false;</text>
     </questionvariables>
     <specificfeedback format="html">
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>

samplequestions/stacklibrary/Algebra-Refresher/03-Addition-and-subtraction-of-fractions/AlgMap-3-5.xml

@@ -27,14 +27,13 @@ d:7;
 c:rand([1,2,3,4,5,6,8,9]);
 ta:(a/b)+(c/d);
 lcm:lcm(b,d);
-simp:false;
-</text>
+simp:false;</text>
     </questionvariables>
     <specificfeedback format="html">
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
     </specificfeedback>
     <questionnote format="moodle_auto_format">
-      <text>\[{@a/b@}+{@c/d@} = {@ta@}.\] </text>
+      <text>\[{@a/b@}+{@c/d@} = {@ta@}.\]</text>
     </questionnote>
     <questiondescription format="moodle_auto_format">
       <text/>

samplequestions/stacklibrary/Algebra-Refresher/03-Addition-and-subtraction-of-fractions/AlgMap-3-6.xml

@@ -27,8 +27,7 @@ d:3;
 c:rand([1,2,4,5,7,8,10]);
 ta:(a/b)-(c/d);
 lcm:lcm(b,d);
-simp:false;
-</text>
+simp:false;</text>
     </questionvariables>
     <specificfeedback format="html">
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>

samplequestions/stacklibrary/Algebra-Refresher/03-Addition-and-subtraction-of-fractions/AlgMap-3-7.xml

@@ -28,8 +28,7 @@ d:f*b;
 c:d-1;
 ta:(a/b)+(c/d);
 lcm:lcm(b,d);
-simp:false;
-</text>
+simp:false;</text>
     </questionvariables>
     <specificfeedback format="html">
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>

samplequestions/stacklibrary/Algebra-Refresher/03-Addition-and-subtraction-of-fractions/AlgMap-3-8.xml

@@ -28,8 +28,7 @@ d:f*b;
 c:1;
 ta:(a/b)-(c/d);
 lcm:lcm(b,d);
-simp:false
-</text>
+simp:false</text>
     </questionvariables>
     <specificfeedback format="html">
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>

samplequestions/stacklibrary/Algebra-Refresher/03-Addition-and-subtraction-of-fractions/AlgMap-3-9.xml

@@ -28,8 +28,7 @@ d:f*rand([2,4]);
 c:d+1;
 ta:(a/b)+(c/d);
 lcm:lcm(b,d);
-simp:false;
-</text>
+simp:false;</text>
     </questionvariables>
     <specificfeedback format="html">
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>

samplequestions/stacklibrary/Algebra-Refresher/05-Combinations-of-arithmetic-operations-on-fractions/AlgMap-5-1.xml

@@ -28,8 +28,7 @@ f:e+rand(4)+1;
 g:rand(5)+1;
 h:g+rand(4)+1;
 ta:((a/b)+(c/d))/((e/f)+(g/h));
-simp:false;
-</text>
+simp:false;</text>
     </questionvariables>
     <specificfeedback format="html">
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>

samplequestions/stacklibrary/Algebra-Refresher/05-Combinations-of-arithmetic-operations-on-fractions/AlgMap-5-2.xml

@@ -28,8 +28,7 @@ t:c/d;
 ta1:(s^2+2*t^2);
 ta2:(3-s*t);
 ta:ta1/ta2;
-simp:false;
-</text>
+simp:false;</text>
     </questionvariables>
     <specificfeedback format="html">
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>

samplequestions/stacklibrary/Algebra-Refresher/08-Algebraic-fractions/AlgMap-8-21.xml

@@ -157,7 +157,7 @@ fta:ev(factor(ta),simp);</text>
       </expected>
     </qtest>
     <qtest>
-      <testcase>3</testcase>
+      <testcase>2</testcase>
       <description/>
       <testinput>
         <name>ans</name>

samplequestions/stacklibrary/Algebra-Refresher/08-Algebraic-fractions/AlgMap-8-23.xml

@@ -11,8 +11,7 @@
 Give an equivalent expression without brackets. 
 <br>
 = [[input:ans]] 
-[[validation:ans]]
-]]></text>
+[[validation:ans]]]]></text>
     </questiontext>
     <generalfeedback format="html">
       <text><![CDATA[<html>

samplequestions/stacklibrary/Algebra-Refresher/08-Algebraic-fractions/AlgMap-8-3.xml

@@ -26,7 +26,7 @@ ta:ev(1/a,simp);</text>
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
     </specificfeedback>
     <questionnote format="moodle_auto_format">
-      <text>\[ \frac{@v@}{@ev(a*v,simp)@} = {@ta@}. \] </text>
+      <text>\[ \frac{@v@}{@ev(a*v,simp)@} = {@ta@}. \]</text>
     </questionnote>
     <questiondescription format="moodle_auto_format">
       <text/>

samplequestions/stacklibrary/Algebra-Refresher/08-Algebraic-fractions/AlgMap-8-5.xml

@@ -24,7 +24,7 @@
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
     </specificfeedback>
     <questionnote format="moodle_auto_format">
-      <text>\[ \frac{@b-a@}{@a-b@} = {@ta@}. \] </text>
+      <text>\[ \frac{@b-a@}{@a-b@} = {@ta@}. \]</text>
     </questionnote>
     <questiondescription format="moodle_auto_format">
       <text/>

samplequestions/stacklibrary/Algebra-Refresher/08-Algebraic-fractions/AlgMap-8-8.xml

@@ -29,7 +29,7 @@ ta:ev((a*f*(v-c))/(b*f*(v-c)^3),simp);</text>
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
     </specificfeedback>
     <questionnote format="moodle_auto_format">
-      <text>\[ \frac{@ev(a*f*(v-c),simp)@}{@ev(b*f*(v-c)^3,simp)@} = {@ta@}. \] </text>
+      <text>\[ \frac{@ev(a*f*(v-c),simp)@}{@ev(b*f*(v-c)^3,simp)@} = {@ta@}. \]</text>
     </questionnote>
     <questiondescription format="moodle_auto_format">
       <text/>

samplequestions/stacklibrary/Algebra-Refresher/09-Linear-equations/AlgMap-9-1.xml

@@ -37,7 +37,7 @@ ta:(k2-k1)/cf1;</text>
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
     </specificfeedback>
     <questionnote format="moodle_auto_format">
-      <text>\[ {@cf1*v+k1@} = {@k2@} \Rightarrow {@v@} = {@ta@}. \] </text>
+      <text>\[ {@cf1*v+k1@} = {@k2@} \Rightarrow {@v@} = {@ta@}. \]</text>
     </questionnote>
     <questiondescription format="moodle_auto_format">
       <text/>

samplequestions/stacklibrary/Algebra-Refresher/09-Linear-equations/AlgMap-9-6.xml

@@ -37,7 +37,7 @@ ta:35/4;</text>
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
     </specificfeedback>
     <questionnote format="moodle_auto_format">
-      <text>\[ {@(3-v)/5+3@} = {@(2*v+1)/10@} \Rightarrow {@v@} = {@ta@}. \] </text>
+      <text>\[ {@(3-v)/5+3@} = {@(2*v+1)/10@} \Rightarrow {@v@} = {@ta@}. \]</text>
     </questionnote>
     <questiondescription format="moodle_auto_format">
       <text/>

samplequestions/stacklibrary/Algebra-Refresher/10-Expressions-single-term-common-factors/AlgMap-10-7.xml

@@ -12,7 +12,7 @@
     <generalfeedback format="html">
       <text>Simply remove all common factors from the expression. In this example: 
 \[ {@v^p1+v^p2@} = {@ta@}. \]
-The important thing is to remember the 1 after factoring. </text>
+The important thing is to remember the 1 after factoring.</text>
     </generalfeedback>
     <defaultgrade>1</defaultgrade>
     <penalty>0.1</penalty>

samplequestions/stacklibrary/Algebra-Refresher/10-Expressions-single-term-common-factors/AlgMap-10-8.xml

@@ -12,7 +12,7 @@
     <generalfeedback format="html">
       <text>Simply remove all common factors from the expression. In this example: 
 \[ {@v^p1-v^p2@} = {@ta@}. \]
-The important thing is to remember the 1 after factoring. </text>
+The important thing is to remember the 1 after factoring.</text>
     </generalfeedback>
     <defaultgrade>1</defaultgrade>
     <penalty>0.1</penalty>

samplequestions/stacklibrary/Algebra-Refresher/11-Rearranging-algebraic-formulae/AlgMap-11-11.xml

@@ -36,7 +36,7 @@ Now you have an equation for \(x\).</text>
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
     </specificfeedback>
     <questionnote format="moodle_auto_format">
-      <text>\[ {@y@} = {@sqrt(x^2+4)@} \Rightarrow x = {@ta@} . \] </text>
+      <text>\[ {@y@} = {@sqrt(x^2+4)@} \Rightarrow x = {@ta@} . \]</text>
     </questionnote>
     <questiondescription format="moodle_auto_format">
       <text/>

samplequestions/stacklibrary/Algebra-Refresher/11-Rearranging-algebraic-formulae/AlgMap-11-9.xml

@@ -33,7 +33,7 @@ Now you have an equation for \(x\).</text>
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
     </specificfeedback>
     <questionnote format="moodle_auto_format">
-      <text>\[{@a@} = {@sqrt(b+x)@} \Rightarrow x = {@ta@}.\] </text>
+      <text>\[{@a@} = {@sqrt(b+x)@} \Rightarrow x = {@ta@}.\]</text>
     </questionnote>
     <questiondescription format="moodle_auto_format">
       <text/>

samplequestions/stacklibrary/Algebra-Refresher/13-Factorising-algebraic-expressions/AlgMap-13-1-.xml

@@ -2,7 +2,7 @@
 <quiz>
   <question type="stack">
     <name>
-      <text>AlgMap-13.1 </text>
+      <text>AlgMap-13.1</text>
     </name>
     <questiontext format="html">
       <text><![CDATA[Factorise the following: 

samplequestions/stacklibrary/Algebra-Refresher/13-Factorising-algebraic-expressions/AlgMap-13-13.xml

@@ -17,7 +17,7 @@ The equation is of the form 'square, twice product, square':
 Where:
 \[ a^2 = x. \]
 \[ b^2 = 4y. \]
-Therefore \((a+b)^2 = (x+4y)^2. \) </text>
+Therefore \((a+b)^2 = (x+4y)^2. \)</text>
     </generalfeedback>
     <defaultgrade>1</defaultgrade>
     <penalty>0.1</penalty>

samplequestions/stacklibrary/Algebra-Refresher/13-Factorising-algebraic-expressions/AlgMap-13-16.xml

@@ -13,7 +13,7 @@
       <text>The trick to factorising this expression is to carry out a substitution, \(u=xy\). Then we obtain the quadratic:
 \[ u^2-2u+1, \] 
 which is easily solved by normal methods:
-\[ u^2-2u+1 = \left(u-1\right)^2 = \left(xy-1\right)^2. \]  </text>
+\[ u^2-2u+1 = \left(u-1\right)^2 = \left(xy-1\right)^2. \]</text>
     </generalfeedback>
     <defaultgrade>1</defaultgrade>
     <penalty>0.1</penalty>

samplequestions/stacklibrary/Algebra-Refresher/13-Factorising-algebraic-expressions/AlgMap-13-17.xml

@@ -32,7 +32,7 @@ which is now clearly a difference of two squares. So factorising gives:
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
     </specificfeedback>
     <questionnote format="moodle_auto_format">
-      <text>\[ {@(a+b)^2-(a+c)^2@} = {@ta@}. \] </text>
+      <text>\[ {@(a+b)^2-(a+c)^2@} = {@ta@}. \]</text>
     </questionnote>
     <questiondescription format="moodle_auto_format">
       <text/>

samplequestions/stacklibrary/Algebra-Refresher/13-Factorising-algebraic-expressions/AlgMap-13-20.xml

@@ -36,7 +36,7 @@ Then factor out \(x+y\) to give:
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
     </specificfeedback>
     <questionnote format="moodle_auto_format">
-      <text>\[ {@(a*x+a*y-b*x-b*y)@} = {@ta@}. \] </text>
+      <text>\[ {@(a*x+a*y-b*x-b*y)@} = {@ta@}. \]</text>
     </questionnote>
     <questiondescription format="moodle_auto_format">
       <text/>

samplequestions/stacklibrary/Algebra-Refresher/13-Factorising-algebraic-expressions/AlgMap-13-4.xml

@@ -38,7 +38,7 @@ ta:factor((cf1*v+a)*(cf2*v+b));</text>
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
     </specificfeedback>
     <questionnote format="moodle_auto_format">
-      <text>\[ {@expand((cf1*v+a)*(cf2*v+b))@} = {@ta@}. \] </text>
+      <text>\[ {@expand((cf1*v+a)*(cf2*v+b))@} = {@ta@}. \]</text>
     </questionnote>
     <questiondescription format="moodle_auto_format">
       <text/>

samplequestions/stacklibrary/Algebra-Refresher/13-Factorising-algebraic-expressions/AlgMap-13-7.xml

@@ -43,7 +43,7 @@ ta:factor((cf1*v+a)*(cf2*v+b));</text>
       <text><![CDATA[<p>[[feedback:prt1]]</p>]]></text>
     </specificfeedback>
     <questionnote format="moodle_auto_format">
-      <text>\[ {@expand((cf1*v+a)*(cf2*v+b))@} = {@ta@}. \] </text>
+      <text>\[ {@expand((cf1*v+a)*(cf2*v+b))@} = {@ta@}. \]</text>
     </questionnote>
     <questiondescription format="moodle_auto_format">
       <text/>

samplequestions/stacklibrary/Algebra-Refresher/13-Factorising-algebraic-expressions/AlgMap-13-8.xml

@@ -148,7 +148,7 @@ ta:factor((cf1*v+a)*(cf2*v+b));</text>
       </expected>
     </qtest>
     <qtest>
-      <testcase>3</testcase>
+      <testcase>2</testcase>
       <description/>
       <testinput>
         <name>ans</name>

samplequestions/stacklibrary/Algebra-Refresher/14-Algebraic-fractions-involving-factorising/AlgMap-14-6.xml

@@ -14,8 +14,7 @@
       <text>By factorisng the numerator and the denominator we obtain:
 \[\frac{@factor(n)@}{@factor(d)@}.\]
 Then we can cancel the \({@x@}\)'s and constants from the numerator
-and denominator to obtain: \[ {@ta@}. \]
-</text>
+and denominator to obtain: \[ {@ta@}. \]</text>
     </generalfeedback>
     <defaultgrade>1</defaultgrade>
     <penalty>0.1</penalty>

samplequestions/stacklibrary/Algebra-Refresher/15-Quadratic-equations/AlgMap-15-1.xml

@@ -14,8 +14,7 @@ Write this quadratic in factored form: [[input:ansf]]\(=0\). [[validation:ansf]]
 <br>
 Solve this equation, giving your answer as a set \(\left(\mbox{e.g. }\left\{x_1 , x_2\right\}\right)\): <br>
 <br>
-\({@v@} \in \) [[input:ans]] [[validation:ans]][[feedback:prt1]]
-]]></text>
+\({@v@} \in \) [[input:ans]] [[validation:ans]][[feedback:prt1]]]]></text>
     </questiontext>
     <generalfeedback format="html">
       <text><![CDATA[There are multiple ways of solving quadratic equations but if you can spot how to factorise the quadratic then this method is by far the fastest and simplest. In this example we can factorise the quadratic to give: 

samplequestions/stacklibrary/Algebra-Refresher/15-Quadratic-equations/AlgMap-15-3.xml

@@ -17,8 +17,7 @@ Solve the quadratic equation \({@tq@}=0\).
 Give your answer as a set 
 \(\left(\mbox e.g.\ \left\{x_1 , x_2\right\} \right)\): <br>
 [[input:ans2]] [[validation:ans2]] 
-[[feedback:prt1]]
-]]></text>
+[[feedback:prt1]]]]></text>
     </questiontext>
     <generalfeedback format="html">
       <text><![CDATA[When solving a more complicated quadratic a better option, than factorising, is completing the square (The method by which we remove the {@v@} term). The general rule is:

samplequestions/stacklibrary/Algebra-Refresher/15-Quadratic-equations/AlgMap-15-7.xml

@@ -13,8 +13,7 @@
 [[validation:ans]]  
 
 <br>
-(i.e. the form \(\left({@v@}+a\right)^2+b\)).
-]]></text>
+(i.e. the form \(\left({@v@}+a\right)^2+b\)).]]></text>
     </questiontext>
     <generalfeedback format="html">
       <text><![CDATA[Our aim is to 'destroy' the \(x\) term. We do this by considering the general quadratic:

samplequestions/stacklibrary/Calculus-Refresher/CR_Diff_04/CR-Diff-04-product-1-b.xml

@@ -7,8 +7,7 @@
     <questiontext format="html">
       <text>Differentiate {@p@} with respect to {@v@}.
 
-[[input:ans1]] [[validation:ans1]]
-</text>
+[[input:ans1]] [[validation:ans1]]</text>
     </questiontext>
     <generalfeedback format="html">
       <text><![CDATA[In order to solve this problem we will have to use the product rule <hint>calc_product_rule</hint> as follows:
@@ -17,7 +16,7 @@
   \frac{d}{d{@v@}}[{@p@}] &\displaystyle =&\displaystyle  \left[\frac{d}{d{@v@}}({@pp1@})\right]\cdot {@pp2@} + ({@pp1@})\cdot \left[\frac{d}{d{@v@}}[{@pp2@}]\right] \\
    &\displaystyle =&\displaystyle  ({@diff(pp1,v)@})\cdot {@pp2@} + ({@pp1@})\cdot {@diff(pp2,v)@} \\
    &\displaystyle =&\displaystyle  {@diff(p,v)@}
- \end{array}\] ]]></text>
+ \end{array}\]]]></text>
     </generalfeedback>
     <defaultgrade>1</defaultgrade>
     <penalty>0.1</penalty>