// Numbas version: finer_feedback_settings {"name": "br\u00f8kregning", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "br\u00f8kregning", "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "
Regn ut brøk-uttrykkene
", "advice": "", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"a1": {"name": "a1", "group": "Br\u00f8kaddisjon (a/b+c/d)", "definition": "random(-2..5 except 0)", "description": "", "templateType": "anything", "can_override": false}, "b1": {"name": "b1", "group": "Br\u00f8kaddisjon (a/b+c/d)", "definition": "random(-2..5 except 0)", "description": "", "templateType": "anything", "can_override": false}, "c1": {"name": "c1", "group": "Br\u00f8kaddisjon (a/b+c/d)", "definition": "random(2..6)", "description": "", "templateType": "anything", "can_override": false}, "d1": {"name": "d1", "group": "Br\u00f8kaddisjon (a/b+c/d)", "definition": "random(2..6 except c1)", "description": "", "templateType": "anything", "can_override": false}, "a2": {"name": "a2", "group": "Br\u00f8k subtraksjon (a/b-c/d)", "definition": "random(-2..5 except 0)", "description": "", "templateType": "anything", "can_override": false}, "b2": {"name": "b2", "group": "Br\u00f8k subtraksjon (a/b-c/d)", "definition": "random(-2..5 except 0)", "description": "", "templateType": "anything", "can_override": false}, "c2": {"name": "c2", "group": "Br\u00f8k subtraksjon (a/b-c/d)", "definition": "random(2..6)", "description": "", "templateType": "anything", "can_override": false}, "d2": {"name": "d2", "group": "Br\u00f8k subtraksjon (a/b-c/d)", "definition": "random(2..5 except c2)", "description": "", "templateType": "anything", "can_override": false}, "a3": {"name": "a3", "group": "Multiplikasjon av br\u00f8k (a/b * c/d)", "definition": "random(2..5)*d3", "description": "", "templateType": "anything", "can_override": false}, "b3": {"name": "b3", "group": "Multiplikasjon av br\u00f8k (a/b * c/d)", "definition": "random(2..5)", "description": "", "templateType": "anything", "can_override": false}, "c3": {"name": "c3", "group": "Multiplikasjon av br\u00f8k (a/b * c/d)", "definition": "random(2..5)*b3", "description": "", "templateType": "anything", "can_override": false}, "d3": {"name": "d3", "group": "Multiplikasjon av br\u00f8k (a/b * c/d)", "definition": "random(2..5)", "description": "", "templateType": "anything", "can_override": false}, "a4": {"name": "a4", "group": "Br\u00f8k delt p\u00e5 tall ( (a/b)/c )", "definition": "random(1..5)", "description": "", "templateType": "anything", "can_override": false}, "b4": {"name": "b4", "group": "Br\u00f8k delt p\u00e5 tall ( (a/b)/c )", "definition": "random(2..5 except a4)", "description": "", "templateType": "anything", "can_override": false}, "c4": {"name": "c4", "group": "Br\u00f8k delt p\u00e5 tall ( (a/b)/c )", "definition": "random(2..4)*random([a4,b4])", "description": "", "templateType": "anything", "can_override": false}, "c5": {"name": "c5", "group": "Br\u00f8k delt p\u00e5 br\u00f8k ( (a/b)/(c/d) )", "definition": "random(2..4)*a5", "description": "", "templateType": "anything", "can_override": false}, "d5": {"name": "d5", "group": "Br\u00f8k delt p\u00e5 br\u00f8k ( (a/b)/(c/d) )", "definition": "random(2..4)*b5", "description": "", "templateType": "anything", "can_override": false}, "b5": {"name": "b5", "group": "Br\u00f8k delt p\u00e5 br\u00f8k ( (a/b)/(c/d) )", "definition": "random(2..5)", "description": "", "templateType": "anything", "can_override": false}, "a5": {"name": "a5", "group": "Br\u00f8k delt p\u00e5 br\u00f8k ( (a/b)/(c/d) )", "definition": "random(2..5)", "description": "", "templateType": "anything", "can_override": false}, "a7": {"name": "a7", "group": "Forkorte br\u00f8k (a/b)", "definition": "random(1..9)*b7", "description": "", "templateType": "anything", "can_override": false}, "b7": {"name": "b7", "group": "Forkorte br\u00f8k (a/b)", "definition": "random(2..7)", "description": "", "templateType": "anything", "can_override": false}, "a6": {"name": "a6", "group": "Forkorte algebraisk br\u00f8k ( (ax+b)/c )", "definition": "random(1..5)*c6", "description": "", "templateType": "anything", "can_override": false}, "b6": {"name": "b6", "group": "Forkorte algebraisk br\u00f8k ( (ax+b)/c )", "definition": "random(1..5 except a6)*c6", "description": "", "templateType": "anything", "can_override": false}, "c6": {"name": "c6", "group": "Forkorte algebraisk br\u00f8k ( (ax+b)/c )", "definition": "random(2..6)", "description": "", "templateType": "anything", "can_override": false}, "a8": {"name": "a8", "group": "Forkorte br\u00f8k med utrykk ( (a+b)/c )", "definition": "random(1..10)", "description": "", "templateType": "anything", "can_override": false}, "b8": {"name": "b8", "group": "Forkorte br\u00f8k med utrykk ( (a+b)/c )", "definition": "random(1..10 except a8)", "description": "", "templateType": "anything", "can_override": false}, "c8": {"name": "c8", "group": "Forkorte br\u00f8k med utrykk ( (a+b)/c )", "definition": "random(1..10)*(a8+b8)", "description": "", "templateType": "anything", "can_override": false}, "Svaralternativ": {"name": "Svaralternativ", "group": "Tekstoppgave", "definition": "[\"Legge sammen teller med teller, og ledd med ledd\",\"Finne felles teller f\u00f8r man legger sammen nevnere\",\"Finne felles nevner f\u00f8r man legger sammen tellere\"]", "description": "", "templateType": "anything", "can_override": false}, "svar": {"name": "svar", "group": "Tekstoppgave", "definition": "\"Finne felles nevner f\u00f8r man legger sammen tellere\"", "description": "", "templateType": "anything", "can_override": false}, "a9": {"name": "a9", "group": "Ungrouped variables", "definition": "random(2..10)", "description": "", "templateType": "anything", "can_override": false}, "b9": {"name": "b9", "group": "Ungrouped variables", "definition": "random(2..10)*a9", "description": "", "templateType": "anything", "can_override": false}, "c9": {"name": "c9", "group": "Ungrouped variables", "definition": "random(2..10)", "description": "", "templateType": "anything", "can_override": false}, "d9": {"name": "d9", "group": "Ungrouped variables", "definition": "random(2..10)*c9", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a9", "b9", "c9", "d9"], "variable_groups": [{"name": "Br\u00f8kaddisjon (a/b+c/d)", "variables": ["a1", "b1", "c1", "d1"]}, {"name": "Br\u00f8k subtraksjon (a/b-c/d)", "variables": ["a2", "b2", "c2", "d2"]}, {"name": "Multiplikasjon av br\u00f8k (a/b * c/d)", "variables": ["d3", "b3", "a3", "c3"]}, {"name": "Br\u00f8k delt p\u00e5 tall ( (a/b)/c )", "variables": ["a4", "b4", "c4"]}, {"name": "Br\u00f8k delt p\u00e5 br\u00f8k ( (a/b)/(c/d) )", "variables": ["a5", "b5", "c5", "d5"]}, {"name": "Forkorte algebraisk br\u00f8k ( (ax+b)/c )", "variables": ["c6", "a6", "b6"]}, {"name": "Forkorte br\u00f8k (a/b)", "variables": ["b7", "a7"]}, {"name": "Forkorte br\u00f8k med utrykk ( (a+b)/c )", "variables": ["b8", "c8", "a8"]}, {"name": "Tekstoppgave", "variables": ["Svaralternativ", "svar"]}], "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": "Forkort brøken $\\frac{\\var{a7}}{\\var{b7}}$
", "minValue": "a7/b7", "maxValue": "a7/b7", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"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": "Forkort brøken $\\frac{\\var{a8}+\\var{b8}}{\\var{c8}}$
", "minValue": "(a8+b8)/c8", "maxValue": "(a8+b8)/c8", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "a1", "part": "p0", "must_go_first": false}], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "Når man skal addere eller subtrahere to brøker, er det viktig at man husker på å [[0]].
", "gaps": [{"type": "1_n_2", "useCustomName": true, "customName": "addere", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": "1", "showCellAnswerState": true, "choices": ["Legge sammen teller med teller, og nevner med nevner: $\\frac{a}{b}+\\frac{c}{d}=\\frac{a+c}{b+d}$", "Finne felles teller før man legger sammen nevnere: $\\frac{a}{b}+\\frac{c}{d}=\\frac{a\\cdot c}{b\\cdot c}+\\frac{c\\cdot a}{d\\cdot a}=\\frac{ac}{bc+da}$", "Finne felles nevner før man legger sammen tellere: $\\frac{a}{b}+\\frac{c}{d}=\\frac{a\\cdot d}{b\\cdot d}+\\frac{c\\cdot b}{d\\cdot b}=\\frac{ad+cb}{bd}$"], "matrix": ["0", 0, "2"], "distractors": ["", "", ""]}], "sortAnswers": false}, {"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": "Regn ut $\\frac{\\var{a1}}{\\var{b1}} + \\frac{\\var{c1}}{\\var{d1}} $
", "minValue": "a1/b1 + c1/d1", "maxValue": "a1/b1 + c1/d1", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "50", "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"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": "Regn ut $\\frac{\\var{a2}}{\\var{b2}} - \\frac{\\var{c2}}{\\var{d2}} $
", "minValue": "a2/b2 - c2/d2", "maxValue": "a2/b2 - c2/d2", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "50", "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "gapfill", "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": "Når man skal multiplisere to brøker sammen, er det viktig at man husker på å [[0]].
", "gaps": [{"type": "1_n_2", "useCustomName": true, "customName": "multiplisere", "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": "1", "showCellAnswerState": true, "choices": ["Multipliserer teller med teller, og nevner med nevner: $\\frac{a}{b}\\cdot\\frac{c}{d}=\\frac{a\\cdot c}{b\\cdot d}$", "Multiplisere teller med andre nevner, og nevner med andre teller: $\\frac{a}{b}\\cdot \\frac{c}{d}=\\frac{a \\cdot d}{b \\cdot c}$", "Summere tellerne og nevnerne: $\\frac{a}{b}\\cdot\\frac{c}{d}=\\frac{a+c}{b+d}$", "Multiplisere teller med teller, og summere nevnerene: $\\frac{a}{b}\\cdot \\frac{c}{d}=\\frac{a \\cdot c}{b + d}$", "Summerer tellere, og multipliserer nevnerene: $\\frac{a}{b}\\cdot \\frac{c}{d}=\\frac{a +c}{b \\cdot d}$"], "matrix": ["2", 0, 0, 0, 0], "distractors": ["", "", "", "", ""]}], "sortAnswers": false}, {"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": "Regn ut $\\frac{\\var{a3}}{\\var{b3}} \\cdot \\frac{\\var{c3}}{\\var{d3}} $
", "minValue": "(a3*c3)/(b3*d3)", "maxValue": "(a3*c3)/(b3*d3)", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "50", "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"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": "Regn ut $\\frac{\\var{a9}}{\\var{b9}} \\cdot \\frac{\\var{c9}}{\\var{d9}} $
", "minValue": "(a9*c9)/(b9*d9)", "maxValue": "(a9*c9)/(b9*d9)", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "50", "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "gapfill", "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": "Når man skal dele en brøk på en annen brøk, skal man [[0]].
", "gaps": [{"type": "1_n_2", "useCustomName": true, "customName": "dividere", "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": "1", "showCellAnswerState": true, "choices": ["Subtrahere tellerene og nevnerne: $\\frac{a}{b}\\div \\frac{c}{d}=\\frac{a-c}{b-d}$", "Multiplisere teller med andre nevner, og nevner med andre teller: $\\frac{a}{b}\\div \\frac{c}{d}=\\frac{a \\cdot d}{b \\cdot c}=\\frac{a}{b} \\cdot \\frac{d}{c}$", "Multiplisere teller med teller, og nevner med nevner: $\\frac{a}{b}\\div \\frac{c}{d}=\\frac{a \\cdot c}{b \\cdot d}$", "Multiplisere tellerene, og subtrahere nevnerne: $\\frac{a}{b}\\div \\frac{c}{d}=\\frac{a\\cdot c}{b-d}$", "Dividere teller med teller, og nevner med nevner: $\\frac{a}{b}\\div \\frac{c}{d}=\\frac{a\\div c}{b \\div d}$"], "matrix": [0, "2", 0, 0, 0], "distractors": ["", "Vi \"snur\" den siste br\u00f8ken!", "", "", ""]}], "sortAnswers": false}, {"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": "Regn ut $\\frac{\\left(\\frac{\\var{a4}}{\\var{b4}}\\right)}{\\var{c4}} $
", "minValue": "(a4/b4)/c4", "maxValue": "(a4/b4)/c4", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "50", "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"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": "Regn ut $\\frac{\\left(\\frac{\\var{a5}}{\\var{b5}}\\right)}{\\left(\\frac{\\var{c5}}{\\var{d5}}\\right)} = \\left(\\frac{\\var{a5}}{\\var{b5}}\\right) \\div \\left(\\frac{\\var{c5}}{\\var{d5}}\\right)$
", "minValue": "(a5/b5)*(d5/c5)", "maxValue": "(a5/b5)*(d5/c5)", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "50", "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "jme", "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": "Forkort brøken $\\frac{(\\var{a6}x+ \\var{b6})}{\\var{c6}}$
", "answer": "{a6/c6}*x+ {b6/c6}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "valuegenerators": [{"name": "x", "value": ""}]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Elias Sandal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/24625/"}], "resources": []}]}], "contributors": [{"name": "Elias Sandal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/24625/"}]}