// Numbas version: exam_results_page_options
{"name": "Verschil van twee kwadraten ontbinden ( of eerst vooropzetten)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Verschil van twee kwadraten ontbinden ( of eerst vooropzetten)", "advice": "", "variable_groups": [], "variablesTest": {"maxRuns": "127", "condition": ""}, "rulesets": {}, "extensions": [], "tags": [], "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": ""}, "ungrouped_variables": ["a", "b", "bb", "aa", "g", "gg", "c"], "variables": {"a": {"definition": "random(1..12)", "group": "Ungrouped variables", "templateType": "anything", "name": "a", "description": ""}, "gg": {"definition": "g^2", "group": "Ungrouped variables", "templateType": "anything", "name": "gg", "description": ""}, "c": {"definition": "shuffle(2..12)[0..4]", "group": "Ungrouped variables", "templateType": "anything", "name": "c", "description": ""}, "aa": {"definition": "a^2", "group": "Ungrouped variables", "templateType": "anything", "name": "aa", "description": ""}, "b": {"definition": "random(1..12)", "group": "Ungrouped variables", "templateType": "anything", "name": "b", "description": ""}, "g": {"definition": "gcd(a,b)", "group": "Ungrouped variables", "templateType": "anything", "name": "g", "description": ""}, "bb": {"definition": "b^2", "group": "Ungrouped variables", "templateType": "anything", "name": "bb", "description": ""}}, "parts": [{"showCorrectAnswer": true, "customName": "", "unitTests": [], "scripts": {}, "steps": [{"showCorrectAnswer": true, "customName": "", "unitTests": [], "scripts": {}, "customMarkingAlgorithm": "", "showFeedbackIcon": true, "useCustomName": false, "type": "information", "marks": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "prompt": "<div data-jme-visible=\"g=1\">\n<p>Er is hier geen gemeenschappelijke factor. <br/><br/>Gebruik de formule $(a+b)(a-b)=a^2-b^2$.&nbsp;</p>\n</div>\n<p><span style=\"line-height: 32px;\" data-jme-visible=\"g&gt;1\">Er is een gemeenschappelijke factor die je eerst moet voorop zetten:&nbsp; $\\var{gg}$&nbsp;</span></p>\n<p style=\"text-align: center;\"></p>\n<p style=\"text-align: left;\"><span style=\"line-height: 32px;\" data-jme-visible=\"g&gt;1\">Gebruik&nbsp;$a^2-b^2 = (a+b)(a-b)$ voor het deel dat overblijft</span></p>\n<p style=\"text-align: center;\"></p>", "extendBaseMarkingAlgorithm": true}], "customMarkingAlgorithm": "", "stepsPenalty": "1", "showFeedbackIcon": true, "useCustomName": false, "type": "gapfill", "sortAnswers": false, "marks": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "prompt": "<p>$\\simplify{{aa}x^2-{bb}}$ =&nbsp;[[0]].</p>\n<p></p>\n<p></p>\n<p></p>", "gaps": [{"showCorrectAnswer": true, "answer": "({gg})({a/g}x+{b/g})({a/g}x-{b/g})", "useCustomName": false, "customMarkingAlgorithm": "", "checkingAccuracy": 0.001, "showFeedbackIcon": true, "failureRate": 1, "musthave": {"message": "<p>Ensure you factorise the expression.</p>", "showStrings": false, "strings": ["(", ")"], "partialCredit": 0}, "notallowed": {"message": "<p>Ensure you factorise the expression.</p>", "showStrings": false, "strings": ["xx", "x^2", "x**2"], "partialCredit": 0}, "variableReplacements": [], "showPreview": true, "answerSimplification": "all", "unitTests": [], "type": "jme", "checkVariableNames": true, "customName": "", "scripts": {}, "marks": 1, "valuegenerators": [{"name": "x", "value": ""}], "checkingType": "absdiff", "vsetRange": [0, 1], "variableReplacementStrategy": "originalfirst", "vsetRangePoints": 5, "extendBaseMarkingAlgorithm": true}], "extendBaseMarkingAlgorithm": true}, {"showCorrectAnswer": true, "customName": "", "unitTests": [], "scripts": {}, "steps": [{"showCorrectAnswer": true, "customName": "", "unitTests": [], "scripts": {}, "customMarkingAlgorithm": "", "showFeedbackIcon": true, "useCustomName": false, "type": "information", "marks": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "prompt": "<p>We should recognise this as a difference of two squares, where&nbsp;$\\simplify{{c[0]}^2/{c[2]}^2 x^2}$ is $\\left(\\simplify{{c[0]}/{c[2]}x}\\right)^2$ and $\\simplify{{c[1]}^2/{c[3]}^2}$ is $\\left(\\simplify{{c[1]}/{c[3]}}\\right)^2$. Therefore</p>\n<p style=\"text-align: center;\">$\\simplify{{c[0]}^2/{c[2]}^2 x^2-{c[1]}^2/{c[3]}^2}=\\simplify{({c[0]}/{c[2]}x+{c[1]}/{c[3]})({c[0]}/{c[2]}x-{c[1]}/{c[3]})}.$</p>", "extendBaseMarkingAlgorithm": true}], "customMarkingAlgorithm": "", "stepsPenalty": "1", "showFeedbackIcon": true, "useCustomName": false, "type": "gapfill", "sortAnswers": false, "marks": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "prompt": "<p>$\\simplify{{c[0]}^2/{c[2]}^2 x^2-{c[1]}^2/{c[3]}^2}$ =&nbsp;[[0]].</p>\n<p></p>", "gaps": [{"showCorrectAnswer": true, "answer": "({c[0]}/{c[2]}x+{c[1]}/{c[3]})({c[0]}/{c[2]}x-{c[1]}/{c[3]})", "useCustomName": false, "customMarkingAlgorithm": "", "checkingAccuracy": 0.001, "showFeedbackIcon": true, "failureRate": 1, "musthave": {"message": "<p>Ensure you factorise the expression.</p>", "showStrings": false, "strings": ["(", ")"], "partialCredit": 0}, "notallowed": {"message": "<p>Ensure you factorise the expression.</p>", "showStrings": false, "strings": ["**2", "xx", "x^2"], "partialCredit": 0}, "variableReplacements": [], "showPreview": true, "answerSimplification": "all", "unitTests": [], "type": "jme", "checkVariableNames": true, "customName": "", "scripts": {}, "marks": "2", "valuegenerators": [{"name": "x", "value": ""}], "checkingType": "absdiff", "vsetRange": [0, 1], "variableReplacementStrategy": "originalfirst", "vsetRangePoints": 5, "extendBaseMarkingAlgorithm": true}], "extendBaseMarkingAlgorithm": true}], "statement": "<p>Gebruik de formule om het verschil van twee kwadraten te ontbinden.&nbsp;</p>", "preamble": {"css": "", "js": ""}, "functions": {}, "type": "question", "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Johan Maertens", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1301/"}]}]}], "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Johan Maertens", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1301/"}]}