// Numbas version: exam_results_page_options {"name": "Linear factorisation - Summative test", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["c", "c2", "c3"], "name": "Linear factorisation - Summative test", "tags": [], "advice": "", "rulesets": {}, "parts": [{"variableReplacements": [], "prompt": "

$\\var{c[0]}-\\var{c[1]}x^2=$

", "expectedvariablenames": ["x", "a", "b", "c", "p", "q", "l", "m", "y"], "checkingaccuracy": 0.001, "type": "jme", "showpreview": true, "vsetrangepoints": 5, "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "all", "scripts": {}, "answer": "2({c[0]}/2-{c[1]}/2x^2)", "marks": 1, "checkvariablenames": true, "checkingtype": "absdiff", "vsetrange": [0, 1], "musthave": {"message": "

Your answer must be factorised

", "showStrings": false, "strings": ["(", ")"], "partialCredit": 0}}, {"variableReplacements": [], "prompt": "

$\\var{c[4]}a^2+\\var{c[5]}ab=$

", "expectedvariablenames": ["x", "a", "b", "c", "p", "q", "l", "m", "y"], "checkingaccuracy": 0.001, "type": "jme", "showpreview": true, "vsetrangepoints": 5, "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "all", "scripts": {}, "answer": "2a*({c[4]}a/2+{c[5]}b/2)", "marks": 1, "checkvariablenames": true, "checkingtype": "absdiff", "vsetrange": [0, 1], "musthave": {"message": "

Your answer must be factorised

", "showStrings": false, "strings": ["(", ")"], "partialCredit": 0}}, {"variableReplacements": [], "prompt": "

$pq^3-p^3q=$

", "expectedvariablenames": ["x", "a", "b", "c", "p", "q", "l", "m", "y"], "checkingaccuracy": 0.001, "type": "jme", "showpreview": true, "vsetrangepoints": 5, "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "all", "scripts": {}, "answer": "p*q*(q^2-p^2)", "marks": 1, "checkvariablenames": true, "checkingtype": "absdiff", "vsetrange": [0, 1], "musthave": {"message": "

Your answer must be factorised

", "showStrings": false, "strings": ["(", ")"], "partialCredit": 0}}, {"variableReplacements": [], "prompt": "

$\\var{c2[0]}x^2y+\\var{c2[1]}xy^4=$

", "expectedvariablenames": ["x", "a", "b", "c", "p", "q", "l", "m", "y"], "checkingaccuracy": 0.001, "type": "jme", "showpreview": true, "vsetrangepoints": 5, "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "all", "scripts": {}, "answer": "3*x*y*({c2[0]}x/3+{c2[1]}y^3/3)", "marks": 1, "checkvariablenames": true, "checkingtype": "absdiff", "vsetrange": [0, 1], "musthave": {"message": "

Your answer must be factorised

", "showStrings": false, "strings": ["(", ")"], "partialCredit": 0}}], "extensions": [], "statement": "

Factorise the following expressions by taking out the highest common factor.

\n

Make sure you input an asterisk (*) for multiplication wherever necessary.

\n

For example, $xy$ should be written as $x*y$, and $a(b+c)$ should be written as $a*(b+c)$.

", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"c3": {"definition": "shuffle([2,4,6,10,14])[0..3]", "templateType": "anything", "group": "Ungrouped variables", "name": "c3", "description": "

Part f (HCF:2)

"}, "c2": {"definition": "shuffle([3,3,6,9,15])[0..5]", "templateType": "anything", "group": "Ungrouped variables", "name": "c2", "description": "

Coefficients in e,f  (HCF: 3)

"}, "c": {"definition": "shuffle([2,2,6,8,10,14])", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "description": "

Coefficients in a,b,c (HCF: 2)

"}}, "metadata": {"description": "

Factorising polynomials using the highest common factor

", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Jinhua Mathias", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/514/"}]}]}], "contributors": [{"name": "Jinhua Mathias", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/514/"}]}