// Numbas version: exam_results_page_options
{"name": "Canvas Assessment 1 Resit", "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International"}, "duration": 3600, "percentPass": 0, "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": true, "question_groups": [{"name": "Assessment 1 Resit ", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", "", "", "", "", "", "", "", ""], "variable_overrides": [[], [], [], [], [], [], [], [], [], []], "questions": [{"name": "Simplify Expression", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Darragh Lydon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/13908/"}], "tags": [], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International"}, "statement": "<p>Simplify the expression: $&nbsp; \\simplify {({a}x^2 + {b})({c}x^2+ {d})}$</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"a": {"name": "a", "group": "Coefficients", "definition": "random(1 .. 6#1)", "description": "", "templateType": "randrange", "can_override": false}, "b": {"name": "b", "group": "Coefficients", "definition": "random(-5..5 except 0)", "description": "", "templateType": "anything", "can_override": false}, "d": {"name": "d", "group": "Coefficients", "definition": "random(-5..5 except 0)", "description": "", "templateType": "anything", "can_override": false}, "c": {"name": "c", "group": "Coefficients", "definition": "random(1 .. 6#1)", "description": "", "templateType": "randrange", "can_override": false}, "aTimesc": {"name": "aTimesc", "group": "Combinations", "definition": "a*c", "description": "", "templateType": "anything", "can_override": false}, "aTimesd": {"name": "aTimesd", "group": "Combinations", "definition": "a*d", "description": "", "templateType": "anything", "can_override": false}, "bTimesd": {"name": "bTimesd", "group": "Combinations", "definition": "b*d", "description": "", "templateType": "anything", "can_override": false}, "bTimesc": {"name": "bTimesc", "group": "Combinations", "definition": "b*c", "description": "", "templateType": "anything", "can_override": false}, "adPlusbc": {"name": "adPlusbc", "group": "Combinations", "definition": "aTimesd+bTimesc", "description": "", "templateType": "anything", "can_override": false}, "aPlusc": {"name": "aPlusc", "group": "WrongAnswerVariables", "definition": "a+c", "description": "", "templateType": "anything", "can_override": false}, "adMinusbc": {"name": "adMinusbc", "group": "WrongAnswerVariables", "definition": "aTimesd-bTimesc", "description": "", "templateType": "anything", "can_override": false}, "bPlusd": {"name": "bPlusd", "group": "WrongAnswerVariables", "definition": "b+d", "description": "", "templateType": "anything", "can_override": false}, "Reversedbd": {"name": "Reversedbd", "group": "WrongAnswerVariables", "definition": "bTimesd*-1", "description": "", "templateType": "anything", "can_override": false}, "acPlusbd": {"name": "acPlusbd", "group": "WrongAnswerVariables", "definition": "aTimesc + bTimesd", "description": "", "templateType": "anything", "can_override": false}, "adPlusbcStr": {"name": "adPlusbcStr", "group": "Combinations", "definition": "if(adPlusbc>0,\"+ \" + string(adPlusbc),\" \"+string(adPlusbc))", "description": "", "templateType": "anything", "can_override": false}, "bTimesdStr": {"name": "bTimesdStr", "group": "Combinations", "definition": "if(bTimesd>0,\"+ \" + string(bTimesd),\" \"+string(bTimesd))", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "aTimesc<>aPlusc\nbTimesd<>bPlusd", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [{"name": "Coefficients", "variables": ["a", "b", "c", "d"]}, {"name": "Combinations", "variables": ["aTimesc", "aTimesd", "bTimesc", "bTimesd", "adPlusbc", "adPlusbcStr", "bTimesdStr"]}, {"name": "WrongAnswerVariables", "variables": ["aPlusc", "adMinusbc", "bPlusd", "Reversedbd", "acPlusbd"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["$ \\simplify{ {aTimesc}x^4 + {adPlusbc}x^2 +&nbsp; {bTimesd} }$", "$ \\simplify{ {aPlusc}x^4 + {adMinusbc}x^2 + {bTimesd}} $", "$ \\simplify{ 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"precround({Answer} - random(2..8)/10,2)", "description": "", "templateType": "anything", "can_override": false}, "PlusAnswer": {"name": "PlusAnswer", "group": "Ungrouped variables", "definition": "precround({Answer} + random(2..8)/10,2)", "description": "", "templateType": "anything", "can_override": false}, "HalfAnswer": {"name": "HalfAnswer", "group": "Ungrouped variables", "definition": "precround(({Answer} + random(2..8)/10)/{n},2)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "a<>b", "maxRuns": 100}, "ungrouped_variables": ["a", "n", "b", "Answer", "initialSolve", "MinusAnswer", "PlusAnswer", "HalfAnswer"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, 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"random(pairs)", "description": "", "templateType": "anything", "can_override": false}, "expr": {"name": "expr", "group": "Ungrouped variables", "definition": "expression(pair[0])", "description": "", "templateType": "anything", "can_override": false}, "x": {"name": "x", "group": "Ungrouped variables", "definition": "latex(pair[1])", "description": "", "templateType": "anything", "can_override": false}, "n": {"name": "n", "group": "Ungrouped variables", "definition": "pair[2]", "description": "", "templateType": "anything", "can_override": false}, "": {"name": "", "group": "Ungrouped variables", "definition": "", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["pairs", "pair", "expr", "x", "n", ""], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Solve the equation:</p>\n<p>\\[ \\var{expr} \\]</p>\n<p>Enter the value of $\\var{x}$.</p>", "minValue": "n", "maxValue": "n", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Factorise into linear factors", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Darragh Lydon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/13908/"}], "tags": [], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International"}, "statement": "<p>Factorise&nbsp; $ \\simplify {x^2 + {bplusc}x + {bTimesc}} $ into linear factors&nbsp;</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"b1": {"name": "b1", "group": "Ungrouped variables", "definition": "random(-6..6 except 0)", "description": "", "templateType": "anything", "can_override": false}, "c1": {"name": "c1", "group": "Ungrouped variables", "definition": "random(-6..6 except 0)", "description": "", "templateType": "anything", "can_override": false}, "s1": {"name": "s1", "group": "Ungrouped variables", "definition": "random(-1,1)", "description": "", "templateType": "anything", "can_override": false}, "s2": {"name": "s2", "group": "Ungrouped variables", "definition": "random(-1,1)", "description": "", "templateType": "anything", "can_override": false}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "b1*s1", "description": "", "templateType": "anything", "can_override": false}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "c1*s2", "description": "", "templateType": "anything", "can_override": false}, "bTimesc": {"name": "bTimesc", "group": "Ungrouped variables", "definition": "b*c", "description": "", "templateType": "anything", "can_override": false}, "bplusc": {"name": "bplusc", "group": "Ungrouped variables", "definition": "b+c", "description": "", "templateType": "anything", "can_override": false}, "bInv": {"name": "bInv", "group": "Ungrouped variables", "definition": "b*-1", "description": "", "templateType": "anything", "can_override": false}, "cInv": {"name": "cInv", "group": "Ungrouped variables", "definition": "c*-1", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["b1", "c1", "s1", "s2", "b", "c", "bTimesc", "bplusc", "bInv", "cInv"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["$\\simplify [!collectnumbers] {x(x + {bplusc}) + {bTimesc}}$", "$\\simplify&nbsp; [!collectnumbers] {(x + {b})&nbsp; (x + {c})}$", "$\\simplify [!collectnumbers] {(x + {bInv})&nbsp; (x + 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"can_override": false}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "random(1 .. 9#1)", "description": "", "templateType": "randrange", "can_override": false}, "bPlusc": {"name": "bPlusc", "group": "Ungrouped variables", "definition": "(b*b)+c", "description": "", "templateType": "anything", "can_override": false}, "twoB": {"name": "twoB", "group": "Ungrouped variables", "definition": "b+b", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["b", "c", "bPlusc", "twoB"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Write $ {x^2 + \\var{twoB}x + \\var{bPlusc}}$ in the form $(x+a)^2 +b$</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["$(x+ \\var{twoB})^2+ \\var{c}$", "$(x+ \\var{b})^2+ \\var{bPlusc}$", "$(x+ \\var{b})^2+ \\var{c}$", "$(x+ \\var{twoB})^2+ \\var{bPlusc}$"], "matrix": [0, 0, "1", 0], "distractors": ["", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Factor of Cubic Function", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Darragh Lydon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/13908/"}], "tags": [], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International"}, "statement": "<p>Which of the following is a factor of $ f(x) =&nbsp; \\simplify {{a}x^3 + {b}x^2+{c}x + {d}}$</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"f1": {"name": "f1", "group": "Ungrouped variables", "definition": "1", "description": "", "templateType": "anything", "can_override": false}, "f2": {"name": "f2", "group": "Ungrouped variables", "definition": "2", "description": "", "templateType": "anything", "can_override": false}, "a": {"name": "a", "group": "Ungrouped variables", "definition": "random(1,2)", "description": "", "templateType": "anything", "can_override": false}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(-10..10 except 0)", "description": "", "templateType": "anything", "can_override": false}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "random(-20..20 except 0)", "description": "", "templateType": "anything", "can_override": false}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "random(-50..50 except 0)", "description": "", "templateType": "anything", "can_override": false}, "f1Inv": {"name": "f1Inv", "group": "Ungrouped variables", "definition": "f1*-1", "description": "", "templateType": "anything", "can_override": false}, "f2Inv": {"name": "f2Inv", "group": "Ungrouped variables", "definition": "f2*-1", "description": "<p>f2*-1</p>\n<p></p>", "templateType": "anything", "can_override": false}, "f1Calc": {"name": "f1Calc", "group": "Ungrouped variables", "definition": "a*(f1)^3 + b*(f1)^2 + c*f1 + d", "description": "", "templateType": "anything", "can_override": false}, "f2Calc": {"name": "f2Calc", "group": "Ungrouped variables", "definition": "a*(f2)^3 + b*(f2)^2 + c*f2 + d", "description": "", "templateType": "anything", "can_override": false}, "f1InvCalc": {"name": "f1InvCalc", "group": "Ungrouped variables", "definition": "a*(f1Inv)^3 + b*(f1Inv)^2 + c*f1Inv + d", "description": "", "templateType": "anything", "can_override": false}, "f2InvCalc": {"name": "f2InvCalc", "group": "Ungrouped variables", "definition": "a*(f2Inv)^3 + b*(f2Inv)^2 + c*f2Inv + d", "description": "", "templateType": "anything", "can_override": false}, "tester": {"name": "tester", "group": "Ungrouped variables", "definition": "switch(f1Calc=0,[1,0,0,0],f2Calc =0,[0,1,0,0],f1InvCalc=0,[0,0,1,0],[0,0,0,1]) ", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "f2InvCalc=0 xor f1InvCalc=0 xor f1Calc=0 xor f2Calc=0", "maxRuns": 100}, "ungrouped_variables": ["f1", "f2", "a", "b", "c", "d", "f1Inv", "f2Inv", "f1Calc", "f2Calc", "f1InvCalc", "f2InvCalc", "tester"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["$ (x + 1) $", "$(x +2) $", "$ (x - 1) $", "$ (x - 2) $"], "matrix": "switch(f1Calc=0,[0,0,1,0],f2Calc =0,[0,0,0,1],f1InvCalc=0,[1,0,0,0],[0,1,0,0]) "}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Partial Fractions 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Darragh 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