// Numbas version: finer_feedback_settings
{"name": "Numbers III: Basic Operations of Decimals", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["a", "b", "c", "d", "f", "g", "h", "j", "k", "l", "m", "n", "o", "p", "q", "r", "s", "t", "u", "v", "w", "x", "y", "z", "aa", "bb", "cc", "dd", "ee", "ff", "gg", "hh"], "name": "Numbers III: Basic Operations of Decimals", "tags": [], "advice": "<p>Operations of decimals inculdes addition, subtraction, multiplication and division. These basic calculations depend on decimal place and decimals are added or subtracted based on decimal places. Decimal places are calculated from right to left and help with all operations.</p>\n<p>1. For addition of decimals:&nbsp;Line up the decimals, fill in any needed zero, and add the columns.</p>\n<p>2.For subtraction of decimals:&nbsp;&nbsp;Line up the decimals, fill in any needed zero, and subtract the columns.</p>\n<div class=\"example\">3. For multiplication of decimals: Multiply the numbers, then count the number of decimal place&nbsp;&nbsp;</div>\n<div class=\"example\">\n<div class=\"example2\">\n<div class=\"clear\">\n<p>4. For division of decimals:</p>\n<p>a)If the divisor (the number we are dividing by) is not a whole number, move the decimal point to right to make it a whole number and move the decimal point in dividend (the number we are dividing by the divisor) the same number of places.</p>\n<p>b)Divide as usual. Keep dividing until the answer terminates or repeats.</p>\n<p>c)Put the decimal point directly above the decimal point in the dividend.</p>\n<p>&nbsp;<br/>For more help. check this video:&nbsp;</p>\n<p></p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<iframe width=\"500\" height=\"375\" src=\"//www.youtube.com/embed/9zaj5CldQzs\"></iframe></p>\n<div class=\"example\">\n<div class=\"clear\"></div>\n</div>\n</div>\n</div>\n</div>", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p>Solve the following:</p>\n<p>$\\var{a} + \\var{b}$ =&nbsp;[[0]]</p>\n<p>$\\var{c} + \\var{d}$ = [[1]]</p>\n<p>$\\var{f} + \\var{g}$ = [[2]]</p>\n<p>$\\var{h} + \\var{j}$ = [[3]]</p>\n<p></p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "a+b", "minValue": "a+b", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "c+d", "minValue": "c+d", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "f+g", "minValue": "f+g", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "h+j", "minValue": "h+j", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "steps": [{"prompt": "<p>To add decimals, follow these steps:</p>\n<ul>\n<li>Write down the numbers, one under the other, with the <b>decimal points lined up</b></li>\n<li><b>Put in zeros</b> so the numbers have the same length&nbsp;</li>\n<li><b>Then add</b> using <a href=\"https://www.mathsisfun.com/numbers/addition-column.html\">column addition</a>, remembering to put the decimal point in the answer</li>\n</ul>\n<div class=\"example\">\n<h3>Example: Add 1.452 to 1.</h3>\n<div class=\"example2\">\n<div class=\"clear\">\n<table border=\"0\" align=\"center\" width=\"336\" height=\"243\">\n<tbody>\n<tr>\n<td>Line the decimals up:</td>\n<td>&nbsp;</td>\n<td style=\"text-align: left;\">&nbsp;</td>\n<td style=\"text-align: left;\">1<span class=\"hi\">.</span>452</td>\n</tr>\n<tr>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>+</td>\n<td style=\"text-align: left;\">1<span class=\"hi\">.</span>3</td>\n</tr>\n<tr>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n</tr>\n<tr>\n<td>\"Pad\" with zeros:</td>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>1.452</td>\n</tr>\n<tr>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>+</td>\n<td>1.3<span class=\"hi\">00</span></td>\n</tr>\n<tr>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n</tr>\n<tr>\n<td>Add:</td>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>1.452</td>\n</tr>\n<tr>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>+</td>\n<td>1.300</td>\n</tr>\n<tr>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td class=\"hi\">2.752</td>\n</tr>\n</tbody>\n</table>\n<p></p>\n</div>\n</div>\n</div>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 0, "scripts": {}, "showCorrectAnswer": true, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>Solve the following:</p>\n<p>$\\var{k} - \\var{l}$ = [[0]]</p>\n<p>$\\var{m} - \\var{n}$ = [[1]]</p>\n<p>$\\var{o} - \\var{p}$ = [[2]]</p>\n<p>$\\var{q} - \\var{r}$ = [[3]]</p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "k-l", "minValue": "k-l", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "m-n", "minValue": "m-n", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "o-p", "minValue": "o-p", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "q-r", "minValue": "q-r", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "steps": [{"prompt": "<p>To subtract decimals, follow these steps:</p>\n<ul>\n<li>Write down the two numbers, one under the other, with the decimal points lined up.</li>\n<li>Add zeros so the numbers have the same length</li>\n<li>Then subtract normally, remembering to put the decimal point in the answer</li>\n</ul>\n<div class=\"example\">\n<h3>Example: Subtract 0.03 from 1.1</h3>\n<div class=\"clear\">\n<div class=\"example2\">\n<table border=\"0\" align=\"center\">\n<tbody>\n<tr>\n<td>Line the decimals up:</td>\n<td style=\"text-align: left;\">&nbsp;</td>\n<td style=\"text-align: left;\">&nbsp;</td>\n<td style=\"text-align: left;\">1<span class=\"hi\">.</span>1</td>\n</tr>\n<tr>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>&minus;</td>\n<td style=\"text-align: left;\">0<span class=\"hi\">.</span>03&nbsp;</td>\n</tr>\n<tr>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n</tr>\n<tr>\n<td>\"Pad\" with zeros:</td>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>1.1<span class=\"hi\">0</span></td>\n</tr>\n<tr>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>&minus;</td>\n<td>0.03</td>\n</tr>\n<tr>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n</tr>\n<tr>\n<td>Subtract:</td>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>1.10</td>\n</tr>\n<tr>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>&minus;</td>\n<td>0.03</td>\n</tr>\n<tr>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td>&nbsp;</td>\n<td class=\"hi\">1.07</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div>\n</div>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 0, "scripts": {}, "showCorrectAnswer": true, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>Solve the following:</p>\n<p>$\\var{s} \\times \\var{t}$ = [[0]]</p>\n<p>$\\var{u} \\times \\var{v}$ = [[1]]</p>\n<p>$\\var{w} \\times \\var{x}$ = [[2]]</p>\n<p>$\\var{y} \\times \\var{z}$ = [[3]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "s*t", "minValue": "s*t", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "u*v", "minValue": "u*v", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "w*x", "minValue": "w*x", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "y*z", "minValue": "y*z", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "steps": [{"prompt": "<p>To multiply decimals, follow these steps:</p>\n<ul>\n<li>Multiply normally, ignoring the decimal points.</li>\n<li><b>Then</b> put the decimal point in the answer - it will have as many decimal places as the two original numbers combined.</li>\n</ul>\n<p>In other words, just count up how many numbers are after the decimal point in <i>both</i> numbers you are multiplying, then the answer should have that many numbers after <i>its</i> decimal point.</p>\n<p>&nbsp;</p>\n<div class=\"example\">\n<h3>Example: Multiply 0.03 by 1.1</h3>\n<table border=\"0\" align=\"center\">\n<tbody>\n<tr>\n<td>\n<div align=\"right\">start with:</div>\n</td>\n<td width=\"20\">&nbsp;</td>\n<th>0.03 &times; 1.1</th></tr>\n<tr>\n<td>\n<div align=\"right\">multiply without decimal points:</div>\n</td>\n<td>&nbsp;</td>\n<th>3 &times; 11 = 33</th></tr>\n<tr>\n<td>\n<div align=\"right\">0.03 has <b>2 decimal places</b>,<br/>and 1.1 has <b>1 decimal place</b>, <br/>so the answer has <b>3 decimal places</b>:</div>\n</td>\n<td>&nbsp;</td>\n<th valign=\"bottom\">0.033</th></tr>\n</tbody>\n</table>\n</div>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 0, "scripts": {}, "showCorrectAnswer": true, "type": "gapfill"}, {"stepsPenalty": 0, "prompt": "<p>Solve the following:</p>\n<p>$\\var{aa} \\div \\var{bb}$ = [[0]]</p>\n<p>$\\var{cc} \\div \\var{dd}$ = [[1]]</p>\n<p>$\\var{ee} \\div \\var{ff}$ = [[2]]</p>\n<p>$\\var{gg} \\div \\var{hh}$ = [[3]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "aa/bb", "minValue": "aa/bb", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "cc/dd", "minValue": "cc/dd", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "ee/ff", "minValue": "ee/ff", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "variableReplacements": [], "maxValue": "gg/hh", "minValue": "gg/hh", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "steps": [{"prompt": "<p><span face=\"Verdana, Arial, Helvetica, sans-serif\" size=\"-1\" style=\"font-family: Verdana, Arial, Helvetica, sans-serif;\">To divide decimal numbers:</span></p>\n<ol>\n<li><span face=\"Verdana, Arial, Helvetica, sans-serif\" size=\"-1\" style=\"font-family: Verdana, Arial, Helvetica, sans-serif;\">If the divisor (the number we are dividing by) is not a whole number, move the decimal point to right to make it a whole number and move the decimal point in dividend (the number we are dividing by the divisor) the same number of places.<br/><br/></span></li>\n<li><span face=\"Verdana, Arial, Helvetica, sans-serif\" size=\"-1\" style=\"font-family: Verdana, Arial, Helvetica, sans-serif;\">Divide as usual. Keep dividing until the answer terminates or repeats. </span><br/><br/></li>\n<li><span face=\"Verdana, Arial, Helvetica, sans-serif\" size=\"-1\" style=\"font-family: Verdana, Arial, Helvetica, sans-serif;\">Put the decimal point directly above the decimal point in the dividend.</span></li>\n</ol>\n<h3>Example: Divide 6.4 by 0.4</h3>\n<p>We are <b>not</b> dividing by a whole number, so we need to move the decimal point so we <b>are&nbsp;</b>dividing by a whole number:</p>\n<div class=\"example2\" align=\"center\">\n<div class=\"simple\">\n<table border=\"0\">\n<tbody>\n<tr align=\"center\">\n<td colspan=\"3\">move 1</td>\n</tr>\n<tr align=\"center\">\n<td><b>6.4</b></td>\n<td>$\\rightarrow$</td>\n<td><b>64</b></td>\n</tr>\n<tr align=\"center\">\n<td><b>0.4</b></td>\n<td>$\\rightarrow$</td>\n<td><b>4</b></td>\n</tr>\n<tr align=\"center\">\n<td colspan=\"3\">move 1</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div>\n<p class=\"center\"><b>6.4/0.4 is exactly the same as 64/4</b>,<br/>as we moved the decimal point of <b>both numbers</b>.</p>\n<p>Now we can calculate:</p>\n<p class=\"center larger\">64 / 4 = 16</p>\n<p>So the answer is:</p>\n<p class=\"center larger\">6.4 / 0.4 = 16</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 0, "scripts": {}, "showCorrectAnswer": true, "type": "gapfill"}], "extensions": [], "statement": "<p>These short questions will help you with addition, subtraction, multiplication and division of decimals.</p>\n<p>In the following questions, solve the given operation on decimals:</p>\n<p>(For further guidance please use this video:&nbsp;<a href=\"https://www.youtube.com/watch?v=9zaj5CldQzs\" target=\"_blank\">https://www.youtube.com/watch?v=9zaj5CldQzs</a>.)</p>\n<p>Note the following key terms:&nbsp;<strong>Divisor&nbsp;</strong>(the number we are dividing by); <strong>Dividend</strong> (the number we are dividing by the divisor); <strong>Numerator</strong> (top part of fraction); <strong>Denominator</strong> (Bottom part of fraction).</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"aa": {"definition": "random(3..20)*bb //random number divisible by bb", "templateType": "anything", "group": "Ungrouped variables", "name": "aa", "description": ""}, "cc": {"definition": "random(3..20)*dd //random number divisible by dd", "templateType": "anything", "group": "Ungrouped variables", "name": "cc", "description": ""}, "gg": {"definition": "random(3..20)*hh //random number divisible by hh", "templateType": "anything", "group": "Ungrouped variables", "name": "gg", "description": ""}, "ee": {"definition": "random(3..20)*ff //random number divisible by ff", "templateType": "anything", "group": "Ungrouped variables", "name": "ee", "description": ""}, "bb": {"definition": "random(0..5#0.1 except 0) //random one decimal number", "templateType": "anything", "group": "Ungrouped variables", "name": "bb", "description": ""}, "dd": {"definition": "random(0..20#0.01 except 0) //random two decimal number", "templateType": "anything", "group": "Ungrouped variables", "name": "dd", "description": ""}, "hh": {"definition": "random(0..1#0.001 except 0) //random one decimal number", "templateType": "anything", "group": "Ungrouped variables", "name": "hh", "description": ""}, "ff": {"definition": "random(0..20#0.001 except 0) //random one decimal number", "templateType": "anything", "group": "Ungrouped variables", "name": "ff", "description": ""}, "a": {"definition": "random(0..1#0.001 except 0)  //random decimal between 0 and 1", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "c": {"definition": "random(0..5#0.001 except 0) //random 2 digit decimal between 0 and 5", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "description": ""}, "b": {"definition": "random(0..1#0.001 except 0)  //random decimal between 0 and 1", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}, "d": {"definition": "random(0..5#0.001 except 0) //random 3 digit decimal between 0 and 5", "templateType": "anything", "group": "Ungrouped variables", "name": "d", "description": ""}, "g": {"definition": "random(0..20#0.001 except 0)\n", "templateType": "anything", "group": "Ungrouped variables", "name": "g", "description": ""}, "f": {"definition": "random(0..20#0.01 except 0)", "templateType": "anything", "group": "Ungrouped variables", "name": "f", "description": ""}, "h": {"definition": "random(10..50#0.001 except 0)", "templateType": "anything", "group": "Ungrouped variables", "name": "h", "description": ""}, "k": {"definition": "random(0..1#0.001 except 0)  //random decimal between 0 and 1", "templateType": "anything", "group": "Ungrouped variables", "name": "k", "description": ""}, "j": {"definition": "random(10..50#0.01 except 0)", "templateType": "anything", "group": "Ungrouped variables", "name": "j", "description": ""}, "m": {"definition": "random(0..5#0.001 except 0) //random 2 digit decimal between 0 and 5", "templateType": "anything", "group": "Ungrouped variables", "name": "m", "description": ""}, "l": {"definition": "random(0..k#0.001 except [0,k])   //random decimal between 0 and 1", "templateType": "anything", "group": "Ungrouped variables", "name": "l", "description": ""}, "o": {"definition": "random(0..20#0.01 except 0)", "templateType": "anything", "group": "Ungrouped variables", "name": "o", "description": ""}, "n": {"definition": "random(0..m#0.001 except [0,m]) //random 3 digit decimal between 0 and 5", "templateType": "anything", "group": "Ungrouped variables", "name": "n", "description": ""}, "q": {"definition": "random(10..50#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "q", "description": ""}, "p": {"definition": "random(0..o#0.001 except [0,o])", "templateType": "anything", "group": "Ungrouped variables", "name": "p", "description": ""}, "s": {"definition": "random(0..20#0.1 except 0) //random one decimal value between 0 and 20", "templateType": "anything", "group": "Ungrouped variables", "name": "s", "description": ""}, "r": {"definition": "random(10..q#0.001 except q)", "templateType": "anything", "group": "Ungrouped variables", "name": "r", "description": ""}, "u": {"definition": "random(0..20#0.1 except 0) //random one decimal value between 0 and 20", "templateType": "anything", "group": "Ungrouped variables", "name": "u", "description": ""}, "t": {"definition": "random(0..20#0.1 except 0) //random one decimal value between 0 and 20", "templateType": "anything", "group": "Ungrouped variables", "name": "t", "description": ""}, "w": {"definition": "random(0..20#0.01 except 0) //random two decimal value between 0 and 20", "templateType": "anything", "group": "Ungrouped variables", "name": "w", "description": ""}, "v": {"definition": "random(0..20#0.01 except 0) //random two decimal value between 0 and 20", "templateType": "anything", "group": "Ungrouped variables", "name": "v", "description": ""}, "y": {"definition": "random(0..20#0.01 except 0) //random two decimal value between 0 and 20", "templateType": "anything", "group": "Ungrouped variables", "name": "y", "description": ""}, "x": {"definition": "random(0..20#0.01 except 0) //random two decimal value between 0 and 20", "templateType": "anything", "group": "Ungrouped variables", "name": "x", "description": ""}, "z": {"definition": "random(0..20#0.001 except 0) //random three decimal value between 0 and 20", "templateType": "anything", "group": "Ungrouped variables", "name": "z", "description": ""}}, "metadata": {"description": "<p>This test will help you with addition, subtraction, multiplication and division of decimals.</p>\n<p></p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Nasir Firoz Khan", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/909/"}]}]}], "contributors": [{"name": "Nasir Firoz Khan", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/909/"}]}