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{"name": "STAT6012 Algebraic fractions: operations involving algebraic fractions Short", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "<p>Add, subtract, multiply and divide <g class=\"gr_ gr_5 gr-alert gr_spell gr_inline_cards gr_run_anim ContextualSpelling ins-del multiReplace\" id=\"5\" data-gr-id=\"5\">alge</g>braic fractions.</p>"}, "tags": [], "parts": [{"showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "gaps": [{"showFeedbackIcon": true, "showCorrectAnswer": true, "unitTests": [], "type": "jme", "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "checkingType": "absdiff", "failureRate": 1, "variableReplacements": [], "customName": "", "valuegenerators": [{"value": "", "name": "x"}], "scripts": {}, "variableReplacementStrategy": "originalfirst", "checkVariableNames": true, "adaptiveMarkingPenalty": 0, "marks": 1, "checkingAccuracy": 0.001, "answer": "({a+1}x+{c})/{b}", "showPreview": true, "vsetRange": [0, 1], "vsetRangePoints": 5, "answerSimplification": "simplifyFractions", "useCustomName": false}, {"showFeedbackIcon": true, "showCorrectAnswer": true, "unitTests": [], "type": "jme", "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "checkingType": "absdiff", "failureRate": 1, "variableReplacements": [], "customName": "", "valuegenerators": [{"value": "", "name": "y"}], "scripts": {}, "variableReplacementStrategy": "originalfirst", "checkVariableNames": true, "adaptiveMarkingPenalty": 0, "marks": 1, "checkingAccuracy": 0.001, "answer": "{d-a}/({c}y)", "showPreview": true, "vsetRange": [0, 1], "vsetRangePoints": 5, "answerSimplification": "simplifyFractions", "useCustomName": false}], "prompt": "<p>$\\displaystyle\\frac{\\var{a}x}{\\var{b}}+\\frac{x+\\var{c}}{\\var{b}}=$&nbsp;[[0]]</p>\n<p>$\\displaystyle\\frac{\\var{d}}{\\var{c}y}-\\frac{\\var{a}}{\\var{c}y}=$&nbsp;[[1]]</p>", "showCorrectAnswer": true, "unitTests": [], "type": "gapfill", "marks": 0, "sortAnswers": false, "adaptiveMarkingPenalty": 0, "variableReplacements": [], "customName": "", "extendBaseMarkingAlgorithm": true, "scripts": {}, "customMarkingAlgorithm": "", "useCustomName": false}, {"showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "gaps": [{"showFeedbackIcon": true, "showCorrectAnswer": true, "unitTests": [], "type": "jme", "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "checkingType": "absdiff", "failureRate": 1, "variableReplacements": [], "customName": "", "valuegenerators": [{"value": "", "name": "a"}], "scripts": {}, "variableReplacementStrategy": "originalfirst", "checkVariableNames": true, "adaptiveMarkingPenalty": 0, "marks": "1", "checkingAccuracy": 0.001, "answer": "({j+g*h}a+{f*j+g})/{g*j}", "showPreview": true, "vsetRange": [0, 1], "vsetRangePoints": 5, "answerSimplification": "simplifyFractions", "useCustomName": false}, {"showFeedbackIcon": true, "showCorrectAnswer": true, "unitTests": [], "type": "jme", "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "checkingType": "absdiff", "failureRate": 1, "variableReplacements": [], "customName": "", "valuegenerators": [{"value": "", "name": "b"}], "scripts": {}, "variableReplacementStrategy": "originalfirst", "checkVariableNames": true, "adaptiveMarkingPenalty": 0, "marks": "1", "checkingAccuracy": 0.001, "answer": "({g-f}b+{g*h-f*j})/{f*g}", "showPreview": true, "vsetRange": [0, 1], "vsetRangePoints": 5, "answerSimplification": "simplifyFractions", "useCustomName": false}, {"showFeedbackIcon": true, "showCorrectAnswer": true, "unitTests": [], "type": "jme", "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "checkingType": "absdiff", "failureRate": 1, "variableReplacements": [], "customName": "", "valuegenerators": [{"value": "", "name": "r"}], "scripts": {}, "variableReplacementStrategy": "originalfirst", "checkVariableNames": true, "adaptiveMarkingPenalty": 0, "marks": "1", "checkingAccuracy": 0.001, "answer": "({a}+{f*d}r^2)/({d}r)", "showPreview": true, "vsetRange": [0, 1], "vsetRangePoints": 5, "answerSimplification": "simplifyFractions", "useCustomName": false}], "prompt": "<p>$\\displaystyle\\simplify{(a+{f})/{g}+({h}a+1)/{j}}=$&nbsp;[[0]]</p>\n<p>$\\displaystyle\\simplify{(b+{h})/{f}-(b+{j})/{g}}=$&nbsp;[[1]]</p>\n<p>$\\displaystyle \\frac{\\var{a}}{\\var{d}r}+\\var{f}r=$&nbsp;[[2]]</p>", "showCorrectAnswer": true, "unitTests": [], "type": "gapfill", "marks": 0, "sortAnswers": false, "adaptiveMarkingPenalty": 0, "variableReplacements": [], "customName": "", "extendBaseMarkingAlgorithm": true, "scripts": {}, "customMarkingAlgorithm": "", "useCustomName": false}], "name": "STAT6012 Algebraic fractions: operations involving algebraic fractions Short", "variablesTest": {"condition": "", "maxRuns": 100}, "functions": {}, "advice": "<p>Learn from your mistakes and have another attempt by clicking on 'Try another question like this one' until you get full marks.</p>", "variables": {"d": {"description": "", "templateType": "anything", "group": "numerical fractions", "definition": "primes[3]", "name": "d"}, "b": {"description": "", "templateType": "anything", "group": "numerical fractions", "definition": "primes[1]", "name": "b"}, "j": {"description": "", "templateType": "anything", "group": "numerical fractions", "definition": "random(primes except [d,g,h])", "name": "j"}, "a": {"description": "", "templateType": "anything", "group": "numerical fractions", "definition": "primes[0]", "name": "a"}, "c": {"description": "", "templateType": "anything", "group": "numerical fractions", "definition": "primes[2]", "name": "c"}, "primes": {"description": "", "templateType": "anything", "group": "numerical fractions", "definition": "shuffle([2,3,5,7,11,13,17])", "name": "primes"}, "f": {"description": "", "templateType": "anything", "group": "numerical fractions", "definition": "primes[4]", "name": "f"}, "g": {"description": "", "templateType": "anything", "group": "numerical fractions", "definition": "primes[5]", "name": "g"}, "h": {"description": "", "templateType": "anything", "group": "numerical fractions", "definition": "primes[6]", "name": "h"}}, "ungrouped_variables": [], "variable_groups": [{"variables": ["a", "b", "c", "d", "f", "g", "h", "j", "primes"], "name": "numerical fractions"}], "statement": "<p>Evaluate the following and write your answer as a single fraction. Use &nbsp;/ to signify a fraction or division, for example $\\frac{2a-1}{x+3}$ is written (2a-1)/(x+3). Simplify/cancel where possible.</p>", "rulesets": {}, "preamble": {"css": "", "js": ""}, "extensions": [], "contributors": [{"name": "Catherine Palmer", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/423/"}]}]}], "contributors": [{"name": "Catherine Palmer", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/423/"}]}