// Numbas version: exam_results_page_options
{"name": "Pattern matching - factorise an equation", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"advice": "", "parts": [{"checkingAccuracy": 0.001, "checkingType": "absdiff", "prompt": "<p>Factorise $\\simplify{x^2+{a+b}x+{a*b}}$</p>", "showFeedbackIcon": true, "type": "jme", "failureRate": 1, "extendBaseMarkingAlgorithm": true, "valuegenerators": [{"value": "", "name": "x"}], "variableReplacementStrategy": "originalfirst", "scripts": {"mark": {"script": "// Parse the student's answer as a syntax tree\nvar studentTree = Numbas.jme.compile(this.studentAnswer,Numbas.jme.builtinScope);\n\n// Create the pattern to match against \n// we just want two sets of brackets, each containing two terms\n// or one of the brackets might not have a constant term\n// or for repeated roots, you might write (x+a)^2\nvar rule = Numbas.jme.compile('m_any( (x+??)(x+??), (x+??)^2, x*(x+??) )');\n\n// Check the student's answer matches the pattern. \nvar m = Numbas.jme.display.matchTree(rule,studentTree,true);\n// If not, take away marks\nif(!m) {\n  this.multCredit(0.5,'Your answer is not in the form $(\\\\dots)(\\\\dots)$.');\n}\n", "order": "after"}}, "showPreview": true, "answer": "(x+{a})(x+{b})", "unitTests": [], "customName": "", "variableReplacements": [], "showCorrectAnswer": true, "vsetRange": [0, 1], "checkVariableNames": false, "customMarkingAlgorithm": "", "vsetRangePoints": 5, "marks": "1", "useCustomName": false}], "variable_groups": [], "ungrouped_variables": ["a", "b"], "rulesets": {}, "name": "Pattern matching - factorise an equation", "extensions": [], "tags": [], "metadata": {"description": "<p>The student is asked to factorise a quadratic $x^2 + ax + b$.&nbsp;A custom marking script uses pattern matching to ensure that the student's answer is of the form $(x+a)(x+b)$, $(x+a)^2$, or $x(x+a)$.</p>\n<p>To find the script, look in the&nbsp;<em>Scripts</em> tab of&nbsp;part <strong>a</strong>.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "functions": {}, "variables": {"a": {"definition": "random(-5..5)", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "a"}, "b": {"definition": "random(-5..5 except 0)", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "b"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "statement": "", "preamble": {"css": "", "js": ""}, "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Xiaodan Leng", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2146/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Xiaodan Leng", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2146/"}]}