// Numbas version: exam_results_page_options
{"name": "Partial Fractions", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Partial Fractions</p>\n<p>rebelmaths</p>"}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "c", "b", "d", "g", "f", "h"], "name": "Partial Fractions", "extensions": [], "variables": {"d": {"name": "d", "definition": "random(2..4 except b)", "description": "", "group": "Ungrouped variables", "templateType": "anything"}, "h": {"name": "h", "definition": "random(-3..3 except g except -g except 0)", "description": "", "group": "Ungrouped variables", "templateType": "anything"}, "c": {"name": "c", "definition": "random(1..5)", "description": "", "group": "Ungrouped variables", "templateType": "anything"}, "f": {"name": "f", "definition": "random(1..6 except c)", "description": "", "group": "Ungrouped variables", "templateType": "anything"}, "b": {"name": "b", "definition": "random(2..4)", "description": "", "group": "Ungrouped variables", "templateType": "anything"}, "g": {"name": "g", "definition": "random(-3..3 except 0)", "description": "", "group": "Ungrouped variables", "templateType": "anything"}, "a": {"name": "a", "definition": "random(2..6)", "description": "", "group": "Ungrouped variables", "templateType": "anything"}}, "tags": ["rebelmaths"], "statement": "<p>Split the following into partial fractions.</p>", "preamble": {"js": "", "css": ""}, "rulesets": {}, "variable_groups": [], "advice": "<p>Use Partial Fractions</p>", "parts": [{"scripts": {}, "gaps": [{"expectedvariablenames": [], "variableReplacements": [], "vsetrangepoints": 5, "checkvariablenames": false, "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "answer": "({a}{c}+{b})/({b}{f}+{c}{d})", "showCorrectAnswer": true, "checkingtype": "absdiff", "vsetrange": [0, 1], "marks": 1, "showFeedbackIcon": true, "type": "jme", "scripts": {}, "showpreview": true}, {"expectedvariablenames": [], "variableReplacements": [], "vsetrangepoints": 5, "checkvariablenames": false, "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "answer": "({a}{f}-{d})/({b}{f}+{c}{d})", "showCorrectAnswer": true, "checkingtype": "absdiff", "vsetrange": [0, 1], "marks": 1, "showFeedbackIcon": true, "type": "jme", "scripts": {}, "showpreview": true}], "variableReplacementStrategy": "originalfirst", "prompt": "<p>$\\frac{1+\\var{a}x}{(\\var{b}x-\\var{c})(\\var{d}x+\\var{f})}$</p>\n<p>$=$[[0]] $/ (\\var{b}x-\\var{c})+$ [[1]]$/ (\\var{d}x+\\var{f})$</p>", "marks": 0, "showFeedbackIcon": true, "type": "gapfill", "variableReplacements": [], "showCorrectAnswer": true}, {"scripts": {}, "gaps": [{"expectedvariablenames": [], "variableReplacements": [], "vsetrangepoints": 5, "checkvariablenames": false, "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "answer": "{g}/({g}-{h})", "showCorrectAnswer": true, "checkingtype": "absdiff", "vsetrange": [0, 1], "marks": 1, "showFeedbackIcon": true, "type": "jme", "scripts": {}, "showpreview": true}, {"expectedvariablenames": [], "variableReplacements": [], "vsetrangepoints": 5, "checkvariablenames": false, "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "answer": "{h}/({h}-{g})", "showCorrectAnswer": true, "checkingtype": "absdiff", "vsetrange": [0, 1], "marks": 1, "showFeedbackIcon": true, "type": "jme", "scripts": {}, "showpreview": true}], "variableReplacementStrategy": "originalfirst", "prompt": "<p>$\\frac{x}{\\simplify{x^2-{g+h}x+{g}{h}}}$</p>\n<p>$=$ [[0]]$/(\\simplify{x- {g}}) + $ [[1]]$/(\\simplify{x - {h}})$&nbsp;</p>", "marks": 0, "showFeedbackIcon": true, "type": "gapfill", "variableReplacements": [], "showCorrectAnswer": true}], "type": "question", "contributors": [{"name": "TEAME UCC", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/351/"}]}]}], "contributors": [{"name": "TEAME UCC", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/351/"}]}