// Numbas version: exam_results_page_options {"name": "Evenredigheden en formules omvormen", "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International"}, "duration": 0, "percentPass": 0, "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", "", "", ""], "variable_overrides": [[], [], [], [], []], "questions": [{"name": "Evenredigheden: x zoeken in gegeven evenredigheid", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Johan Maertens", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1301/"}], "tags": [], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International"}, "statement": "

Tik breuken met /

\n

Kommagetallen tik je met een . 

", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"t3": {"name": "t3", "group": "soort 3", "definition": "random(2,3,-2,-3)", "description": "", "templateType": "anything", "can_override": false}, "opg4t3": {"name": "opg4t3", "group": "soort4 ", "definition": "random(-25..15 except[0,opg4t1,opg4t2])", "description": "

opg4t3

", "templateType": "anything", "can_override": false}, "product": {"name": "product", "group": "middelevenredige", "definition": "factor1*factor2", "description": "", "templateType": "anything", "can_override": false}, "term32": {"name": "term32", "group": "soort 2", "definition": "random(-12..12 except[0,1,-1,term31,term31*-1])", "description": "", "templateType": "anything", "can_override": false}, "t2": {"name": "t2", "group": "soort 3", "definition": "random(-12..12 except [0])", "description": "", "templateType": "anything", "can_override": false}, "term21": {"name": "term21", "group": "soort 2", "definition": "random(-12..12 except[0,1,-1])", "description": "", "templateType": "anything", "can_override": false}, "t1": {"name": "t1", "group": "soort 3", "definition": "random(1..10 except[0])", "description": "", "templateType": "anything", "can_override": false}, "term1": {"name": "term1", "group": "soort 1", "definition": "random(-12..12 except 0)\n", "description": "", "templateType": "anything", "can_override": false}, "term2": {"name": "term2", "group": "soort 1", "definition": "random(-12..12 except [0,1,term1,term1*-1])", "description": "", "templateType": "anything", "can_override": false}, "factor2": {"name": "factor2", "group": "middelevenredige", "definition": "random(2,3,4,5,6,8,10)\n\n", "description": "", "templateType": "anything", "can_override": false}, "term22": {"name": "term22", "group": "soort 2", "definition": "random(-12..12 except[0,1,-1,term21,term21*-1])", "description": "", "templateType": "anything", "can_override": false}, "term4": {"name": "term4", "group": "soort 1", "definition": "random (-12..12 except[0,1,term2,term2*-1])", "description": "", "templateType": "anything", "can_override": false}, "f1": {"name": "f1", "group": "soort 3", "definition": "random(-5,-4,-3,-2,2,3,4,5)", "description": "", "templateType": "anything", "can_override": false}, "factor1": {"name": "factor1", "group": "middelevenredige", "definition": "random(2,3,4,5,6,8,10)", "description": "", "templateType": "anything", "can_override": false}, "term12": {"name": "term12", "group": "soort 2", "definition": "random(-12..12 except[0,1,-1,term11,term11*-1])", "description": "", "templateType": "anything", "can_override": false}, "c1": {"name": "c1", "group": "soort 3", "definition": "random(-4,-3,-2,2,3,4)", "description": "", "templateType": "anything", "can_override": false}, "term11": {"name": "term11", "group": "soort 2", "definition": "random(-12..12 except[0,1,-1])", "description": "", "templateType": "anything", "can_override": false}, "term31": {"name": "term31", "group": "soort 2", "definition": "random(-12..12 except[0,1,-1])", "description": "", "templateType": "anything", "can_override": false}, "opg4t1": {"name": "opg4t1", "group": "soort4 ", "definition": "random(-15..15 except[0])", "description": "", "templateType": "anything", "can_override": false}, "opg4t2": {"name": "opg4t2", "group": "soort4 ", "definition": "random(-25..25 except [-1,0,1,opg4t1])\n", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [{"name": "soort 1", "variables": ["term1", "term2", "term4"]}, {"name": "soort 2", "variables": ["term11", "term12", "term21", "term22", "term31", "term32"]}, {"name": "soort 3", "variables": ["f1", "c1", "t1", "t2", "t3"]}, {"name": "soort4 ", "variables": ["opg4t1", "opg4t2", "opg4t3"]}, {"name": "middelevenredige", "variables": ["factor1", "factor2", "product"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"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": "

Bereken x uit de evenredigheid. 

\n

$\\frac{\\var{term1}}{\\var{term2}}=\\frac{x}{\\var{term4}}$

\n

x = [[0]]

", "stepsPenalty": "0.5", "steps": [{"type": "information", "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": "

Het product van de uiterste termen $\\var{term1}$ en $\\var{term4}$ is gelijk aan het product van ...

"}], "gaps": [{"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, "answer": "{term1}*{term4}/{term2}", "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": []}], "sortAnswers": false}, {"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": "

Bereken x uit de evenredigheid. 

\n

${\\frac{\\frac{\\var{term11}}{\\var{term12}}}{\\frac{\\var{term21}}{\\var{term22}}}}=\\frac{\\frac{\\var{term31}}{\\var{term32}}}{x}$

\n

x = [[0]]

", "stepsPenalty": "0.5", "steps": [{"type": "information", "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": "

Het product van de uiterste termen ${\\frac{\\var{term11}}{\\var{term12}}}$ en x  is gelijk aan het product van ...

"}], "gaps": [{"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, "answer": "({term12}*{term21}*{term31})/({term32}*{term22}*{term11})", "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": []}], "sortAnswers": false}, {"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": "

Bepaal de middelevenredigen tussen de getallen $\\var{factor1}$ en $\\var{product^2/factor1} $

positief antwoord: [[0]] en  negatief antwoord: [[1]]

\n

", "gaps": [{"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, "minValue": "product", "maxValue": "product", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "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, "minValue": "product*-1", "maxValue": "product*-1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"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": "

Bereken x uit de evenredigheid. 

\n

$\\frac{\\var{f1}(\\var{c1}x-\\var{t1})}{x}=\\frac{\\var{t2}}{\\var{t3}}$

\n

x = [[0]]

", "stepsPenalty": "0.5", "steps": [{"type": "information", "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": "

1) Gebruik de distributieve eigenschap om de haakjes in de eerste term weg te werken:

\n

${\\var{f1}(\\var{c1}x-\\var{t1})}=$

\n

Vermenigvuldig $\\var{f1}$ met $\\var{c1}x$ en met $ -\\var{t1}$

\n

2) Gebruik daarna de hoofdeigenschap: Het product van de uiterste termen is ...

\n

"}], "gaps": [{"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, "answer": "({f1}*{t1}*{t3})/({t3}*{f1}*{c1}-{t2})", "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": []}], "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": "

Bepaal de vierde term van de evenredigheid als de volgende termen in volgorde gegeven worden: 

\n

Schrijf de evenredigheid eerst op een kladblad en reken uit. Vul hier het antwoord in. 

\n

$\\var{opg4t1}$ , $\\var{opg4t2}$  en $\\var{opg4t3}$ 

", "minValue": "{opg4t2}*{opg4t3}/{opg4t1}", "maxValue": "{opg4t2}*{opg4t3}/{opg4t1}", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": false, "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": "

(Oud leerplan)

\n

Bepaal de derde term van de evenredigheid als de volgende termen in volgorde gegeven worden: 

\n

Schrijf de evenredigheid eerst op een kladblad en reken uit. Vul hier het antwoord in. 

\n

$\\var{opg4t1}$ , $\\var{opg4t2}$  en $\\var{opg4t3}$ 

", "minValue": "{opg4t1}*{opg4t3}/{opg4t2}", "maxValue": "{opg4t1}*{opg4t3}/{opg4t2}", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "In delen volgens verhouding verdelen", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Johan Maertens", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1301/"}], "advice": "

Part 1:

\n

Add the ratio numbers and then divide the length by the summed total

\n

$\\frac{\\var{lent}}{\\var{summ}}$

\n

Then multiply each peice by the ratio length

\n

$\\var{numberone} \\times \\var{ratio}$

\n

$\\var{numbertwo} \\times \\var{ratio}$

\n

$\\var{numberthree} \\times \\var{ratio}$

\n

\n

Part 2:

\n

Use the same method as in part 1

\n

$\\frac{\\var{total}}{(\\var{numberone1}+\\var{numbertwo1}+\\var{numberfour})}$

\n

$\\var{numberone} \\times \\var{k}$

\n

$\\var{numbertwo} \\times \\var{k}$

\n

$\\var{numberfour} \\times \\var{k}$

\n

\n

Part 4:

\n

$(\\frac{\\var{money}}{(\\var{ratioab[0]} + \\var{ratioab[1]} + \\var{ratioc})}) \\times \\var{ratioab[0]} = \\var{ans31}$

\n

$(\\frac{\\var{money}}{(\\var{ratioab[0]} + \\var{ratioab[1]} + \\var{ratioc})}) \\times \\var{ratioab[1]} = \\var{ans32}$

\n

$(\\frac{\\var{money}}{(\\var{ratioab[0]} + \\var{ratioab[1]} + \\var{ratioc})})  \\times \\var{ratioc} = \\var{ans33}$

", "ungrouped_variables": ["material", "numberone", "numbertwo", "numberthree", "ansone", "ratio", "anstwo", "ansthree", "lent", "summ", "numberfour", "total", "ansfour", "ansfive", "anssix", "money", "ratioab", "ratioc", "ans31", "ans32", "ans33", "numberone1", "numbertwo1", "k", "factor"], "variable_groups": [], "metadata": {"description": "

Ratio Questions

\n

rebel

\n

rebelmaths

\n

", "licence": "Creative Commons Attribution 4.0 International"}, "variablesTest": {"maxRuns": 100, "condition": ""}, "tags": [], "rulesets": {}, "variables": {"numbertwo": {"description": "", "templateType": "anything", "definition": "random(2..7 except {numberone})", "group": "Ungrouped variables", "name": "numbertwo"}, "ansfour": {"description": "", "templateType": "anything", "definition": "k*{numberone1}", "group": "Ungrouped variables", "name": "ansfour"}, "anstwo": {"description": "", "templateType": "anything", "definition": "{ratio}*{numbertwo}", "group": "Ungrouped variables", "name": "anstwo"}, "material": {"description": "", "templateType": "anything", "definition": "random('hout','ijzer','glas','metaal','plastic')", "group": "Ungrouped variables", "name": "material"}, "ratio": {"description": "", "templateType": "anything", "definition": "{lent}/summ", "group": "Ungrouped variables", "name": "ratio"}, "ratioab": {"description": "", "templateType": "anything", "definition": "shuffle(2.1..4.4#0.1)[0..2]", "group": "Ungrouped variables", "name": "ratioab"}, "money": {"description": "", "templateType": "anything", "definition": "random(7050..9050#100)", "group": "Ungrouped variables", "name": "money"}, "lent": {"description": "", "templateType": "anything", "definition": "random(factor*2..factor*12#factor)", "group": "Ungrouped variables", "name": "lent"}, "total": {"description": "", "templateType": "anything", "definition": "({numberone1}+{numbertwo1}+{numberfour})*k", "group": "Ungrouped variables", "name": "total"}, "ratioc": {"description": "", "templateType": "anything", "definition": "10 - (ratioab[0] + ratioab[1])", "group": "Ungrouped variables", "name": "ratioc"}, "k": {"description": "", "templateType": "anything", "definition": "random(61..68)", "group": "Ungrouped variables", "name": "k"}, "numbertwo1": {"description": "", "templateType": "anything", "definition": "random(2..7 except {numberone1})", "group": "Ungrouped variables", "name": "numbertwo1"}, "numberfour": {"description": "", "templateType": "anything", "definition": "random(2..7 except {numberone1} except {numbertwo1})", "group": "Ungrouped variables", "name": "numberfour"}, "ans32": {"description": "", "templateType": "anything", "definition": "({money}/10)*ratioab[1]", "group": "Ungrouped variables", "name": "ans32"}, "ansthree": {"description": "", "templateType": "anything", "definition": "{ratio}*{numberthree}", "group": "Ungrouped variables", "name": "ansthree"}, "anssix": {"description": "", "templateType": "anything", "definition": "k*{numberfour}", "group": "Ungrouped variables", "name": "anssix"}, "numberthree": {"description": "", "templateType": "anything", "definition": "factor-({numberone} + {numbertwo})", "group": "Ungrouped variables", "name": "numberthree"}, "ansone": {"description": "", "templateType": "anything", "definition": "{ratio}*{numberone}", "group": "Ungrouped variables", "name": "ansone"}, "factor": {"description": "", "templateType": "anything", "definition": "random(10..100#10)", "group": "Ungrouped variables", "name": "factor"}, "numberone": {"description": "", "templateType": "anything", "definition": "random(2..9)", "group": "Ungrouped variables", "name": "numberone"}, "ans31": {"description": "", "templateType": "anything", "definition": "({money}/10)*ratioab[0]", "group": "Ungrouped variables", "name": "ans31"}, "summ": {"description": "", "templateType": "anything", "definition": "{numberone}+{numbertwo}+{numberthree}", "group": "Ungrouped variables", "name": "summ"}, "ansfive": {"description": "", "templateType": "anything", "definition": "k*{numbertwo1}", "group": "Ungrouped variables", "name": "ansfive"}, "ans33": {"description": "", "templateType": "anything", "definition": "({money}/10)*{ratioc}", "group": "Ungrouped variables", "name": "ans33"}, "numberone1": {"description": "", "templateType": "anything", "definition": "random(2..9)", "group": "Ungrouped variables", "name": "numberone1"}}, "parts": [{"gaps": [{"correctAnswerStyle": "plain", "scripts": {}, "type": "numberentry", "mustBeReducedPC": 0, "precisionPartialCredit": 0, "minValue": "{ansone}", "correctAnswerFraction": false, "showCorrectAnswer": true, "showPrecisionHint": false, "maxValue": "{ansone}", "variableReplacementStrategy": "originalfirst", "precisionMessage": "You have not given your answer to the correct precision.", "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "marks": 1, "precisionType": "dp", "strictPrecision": false, "showFeedbackIcon": true, "precision": "2", "variableReplacements": [], "allowFractions": false}, {"correctAnswerStyle": "plain", "scripts": {}, "type": "numberentry", "mustBeReducedPC": 0, "precisionPartialCredit": 0, "minValue": "{anstwo}", "correctAnswerFraction": false, "showCorrectAnswer": true, "showPrecisionHint": false, "maxValue": "{anstwo}", "variableReplacementStrategy": "originalfirst", "precisionMessage": "You have not given your answer to the correct precision.", "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "marks": 1, "precisionType": "dp", "strictPrecision": false, "showFeedbackIcon": true, "precision": "2", "variableReplacements": [], "allowFractions": false}, {"correctAnswerStyle": "plain", "scripts": {}, "type": "numberentry", "mustBeReducedPC": 0, "precisionPartialCredit": 0, "minValue": "{ansthree}", "correctAnswerFraction": false, "showCorrectAnswer": true, "showPrecisionHint": false, "maxValue": "{ansthree}", "variableReplacementStrategy": "originalfirst", "precisionMessage": "You have not given your answer to the correct precision.", "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "marks": 1, "precisionType": "dp", "strictPrecision": false, "showFeedbackIcon": true, "precision": "2", "variableReplacements": [], "allowFractions": false}], "steps": [{"scripts": {}, "type": "information", "variableReplacementStrategy": "originalfirst", "marks": 0, "showCorrectAnswer": true, "variableReplacements": [], "prompt": "

Verdeel het stuk $\\var{material}$ in $\\var{numberone}$ + $\\var{numbertwo}$ +$\\var{numberthree}$ stukken. Welke lengte bekom je dan?

Het eerste stuk zou $\\var{numberone}$ keer die lengte moeten zijn.   Het tweede stuk zou $\\var{numbertwo}$ keer die lengte moeten zijn. Het derde stuk zou $\\var{numberthree}$ keer die lengte moeten zijn.

\n

Controleer of de som van deze stukken terug $\\var{lent}$ is.

", "showFeedbackIcon": true}], "scripts": {}, "type": "gapfill", "variableReplacementStrategy": "originalfirst", "marks": 0, "showCorrectAnswer": true, "variableReplacements": [], "prompt": "

Een stuk $\\var{material}$ van $\\var{lent}$ cm lang wordt verdeeld in drie stukken met een verhouding van $\\var{numberone}$ tot $\\var{numbertwo}$ tot $\\var{numberthree}$. Bepaal de lengte van deze stukken. 

\n

[[0]]cm

\n

[[1]]cm

\n

[[2]]cm

", "showFeedbackIcon": true, "stepsPenalty": 0}], "preamble": {"css": "", "js": ""}, "functions": {}, "statement": "

Vul de delen in.

", "type": "question"}, {"name": "Recht en omgekeerd evenredige grootheden", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Johan Maertens", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1301/"}], "variable_groups": [], "variables": {"bedragperdag": {"definition": "random(36..126#18)", "description": "", "templateType": "anything", "name": "bedragperdag", "group": "Ungrouped variables"}, "prijsaardbeien": {"definition": "random(1.25..1.85#0.1)", "description": "", "templateType": "anything", "name": "prijsaardbeien", "group": "Ungrouped variables"}, "dagen1": {"definition": "random(8..18#2 except 10)", "description": "", "templateType": "anything", "name": "dagen1", "group": "Ungrouped variables"}, "toeval": {"definition": "random(1..3)", "description": "", "templateType": "anything", "name": "toeval", "group": "Ungrouped variables"}, "aardbeienplantjes2": {"definition": "random(15..95#10)", "description": "

aardbeienplantjes1

", "templateType": "anything", "name": "aardbeienplantjes2", "group": "Ungrouped variables"}, "aardbeienplantjes1": {"definition": "random(10..90#10)", "description": "", "templateType": "anything", "name": "aardbeienplantjes1", "group": "Ungrouped variables"}, "dagen2": {"definition": "random(8..18#2 except [dagen1])", "description": "", "templateType": "anything", "name": "dagen2", "group": "Ungrouped variables"}}, "advice": "", "parts": [{"expectedvariablenames": [], "checkvariablenames": false, "showFeedbackIcon": true, "checkingaccuracy": 0.001, "marks": 1, "scripts": {}, "checkingtype": "absdiff", "answer": "{aardbeienplantjes2}*{prijsaardbeien}", "type": "jme", "vsetrangepoints": 5, "prompt": "

In een tuincentrum koop je $\\var{aardbeienplantjes1}$ aardbeienplantjes voor $\\var{aardbeienplantjes1*prijsaardbeien}$ euro. Welke prijs betaal je voor $\\var{aardbeienplantjes2}$ plantjes? 

\n

", "showpreview": true, "variableReplacementStrategy": "originalfirst", "vsetrange": [0, 1], "variableReplacements": [], "showCorrectAnswer": true}, {"expectedvariablenames": [], "checkvariablenames": false, "showFeedbackIcon": true, "checkingaccuracy": 0.001, "marks": 1, "scripts": {}, "checkingtype": "absdiff", "answer": "{bedragperdag}*{dagen1}/{dagen2}", "type": "jme", "vsetrangepoints": 5, "prompt": "

Sean gaat op reis voor $\\var{dagen1}$ dagen. Hij heeft berekend dat hij elke dag $\\var{bedragperdag}$ euro mag uitgeven. Hoeveel geld zou Sean mogen uitgeven per dag als hij $\\var{dagen2}$ dagen op reis gaat? 

", "showpreview": true, "variableReplacementStrategy": "originalfirst", "vsetrange": [0, 1], "variableReplacements": [], "showCorrectAnswer": true}], "ungrouped_variables": ["toeval", "aardbeienplantjes1", "prijsaardbeien", "aardbeienplantjes2", "bedragperdag", "dagen1", "dagen2"], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International"}, "rulesets": {}, "statement": "", "functions": {}, "preamble": {"js": "", "css": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "tags": [], "type": "question"}, {"name": "formules uit tabellen met OE en RE", "extensions": [], "custom_part_types": [], "resources": [["question-resources/Simple_Attention.svg", "/srv/numbas/media/question-resources/Simple_Attention.svg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Johan Maertens", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1301/"}], "tags": [], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International"}, "statement": "", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"oe": {"name": "oe", "group": "Ungrouped variables", "definition": "random(12,24,36,48)*random(5,15,25)*random(6,7,8,9)", "description": "", "templateType": "anything", "can_override": false}, "oe1": {"name": "oe1", "group": "Ungrouped variables", "definition": "random(1,2,3)", "description": "", "templateType": "anything", "can_override": false}, "oe2": {"name": "oe2", "group": "Ungrouped variables", "definition": "oe/oe1", "description": "", "templateType": "anything", "can_override": false}, "oe3": {"name": "oe3", "group": "Ungrouped variables", "definition": "random(3,4,5)", "description": "", "templateType": "anything", "can_override": false}, "oe4": {"name": "oe4", "group": "Ungrouped variables", "definition": "oe/oe3", "description": "", "templateType": "anything", "can_override": false}, "oe5": {"name": "oe5", "group": "Ungrouped variables", "definition": "random(8,9,10)", "description": "", "templateType": "anything", "can_override": false}, "oe6": {"name": "oe6", "group": "Ungrouped variables", "definition": "oe/oe5", "description": "", "templateType": "anything", "can_override": false}, "re": {"name": "re", "group": "Ungrouped variables", "definition": "random(1..50)*random(1,10,100)", "description": "", "templateType": "anything", "can_override": false}, "re1": {"name": "re1", "group": "Ungrouped variables", "definition": "random(1,2,3,4)", "description": "", "templateType": "anything", "can_override": false}, "re2": {"name": "re2", "group": "Ungrouped variables", "definition": "re1*re", "description": "", "templateType": "anything", "can_override": false}, "re3": {"name": "re3", "group": "Ungrouped variables", "definition": "random(5,6,7,8)", "description": "", "templateType": "anything", "can_override": false}, "re4": {"name": "re4", "group": "Ungrouped variables", "definition": "re3*re", "description": "", "templateType": "anything", "can_override": false}, "re5": {"name": "re5", "group": "Ungrouped variables", "definition": "random(9,10,11,12)", "description": "", "templateType": "anything", "can_override": false}, "re6": {"name": "re6", "group": "Ungrouped variables", "definition": "re5*re", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["oe", "oe1", "oe2", "oe3", "oe4", "oe5", "oe6", "re", "re1", "re2", "re3", "re4", "re5", "re6"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "jme", "useCustomName": true, "customName": "Vraag 1", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Bekijk de tabel en geef de formule voor y in functie van x

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
grootheid x$\\var{oe1}$$\\var{oe3}$$\\var{oe5}$
grootheid y$\\var{oe2}$$\\var{oe4}$$\\var{oe6}$
\n

Formule: 

", "answer": "y={oe}/x", "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": ""}, {"name": "y", "value": ""}]}, {"type": "jme", "useCustomName": true, "customName": "Vraag 2", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Bekijk de tabel en geef de formule voor y in functie van x

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
grootheid x$\\var{re1}$$\\var{re3}$$\\var{re5}$
grootheid y$\\var{re2}$$\\var{re4}$$\\var{re6}$
\n

Formule: 

", "answer": "y=x*{re}", "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": ""}, {"name": "y", "value": ""}]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Formules omvormen", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Johan Maertens", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1301/"}], "preamble": {"js": "", "css": ""}, "tags": [], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International"}, "statement": "

\n

Tik geen : maar /

\n

Ook geen . maar * of niets

\n

\n

", "functions": {}, "rulesets": {}, "variables": {"A": {"group": "Ungrouped variables", "templateType": "anything", "definition": "B*H/2", "name": "A", "description": ""}, "t1": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..9 except f1)", "name": "t1", "description": ""}, "f1": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..6)", "name": "f1", "description": ""}, "B": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(1..15)", "name": "B", "description": ""}, "H": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(1..15)", "name": "H", "description": ""}, "variabele": {"group": "Ungrouped variables", "templateType": "anything", "definition": "random(0..1)", "name": "variabele", "description": ""}}, "variablesTest": {"condition": "", "maxRuns": 100}, "variable_groups": [], "parts": [{"showCorrectAnswer": true, "variableReplacements": [], "gaps": [{"vsetrangepoints": 5, "type": "jme", "marks": 1, "vsetrange": [0, 1], "showCorrectAnswer": true, "variableReplacements": [], "expectedvariablenames": [], "variableReplacementStrategy": "originalfirst", "showpreview": true, "answer": "(y-{t1})/{f1}", "checkvariablenames": false, "scripts": {}, "showFeedbackIcon": true, "checkingtype": "absdiff", "checkingaccuracy": 0.001}], "type": "gapfill", "variableReplacementStrategy": "originalfirst", "scripts": {}, "marks": 0, "prompt": "

Vorm om naar x: 

\n

$y = \\var{f1}x + \\var{t1}$

\n

x = [[0]]

", "showFeedbackIcon": true}, {"showCorrectAnswer": true, "variableReplacements": [], "gaps": [{"vsetrangepoints": 5, "type": "jme", "marks": 1, "vsetrange": [0, 1], "showCorrectAnswer": true, "variableReplacements": [], "expectedvariablenames": [], "variableReplacementStrategy": "originalfirst", "showpreview": true, "answer": "{t1}y/{f1}", "checkvariablenames": false, "scripts": {}, "showFeedbackIcon": true, "checkingtype": "absdiff", "checkingaccuracy": 0.001}], "type": "gapfill", "variableReplacementStrategy": "originalfirst", "scripts": {}, "marks": 0, "prompt": "

Vorm om naar x: 

\n

$y = \\frac{\\var{f1}x}{\\var{t1}}$

\n

x = [[0]]

", "showFeedbackIcon": true}, {"showCorrectAnswer": true, "variableReplacements": [], "gaps": [{"vsetrangepoints": 5, "type": "jme", "marks": 1, "vsetrange": [0, 1], "showCorrectAnswer": true, "variableReplacements": [], "expectedvariablenames": [], "variableReplacementStrategy": "originalfirst", "showpreview": true, "answer": "A*2/H", "checkvariablenames": false, "scripts": {}, "showFeedbackIcon": true, "checkingtype": "absdiff", "checkingaccuracy": 0.001}, {"vsetrangepoints": 5, "type": "jme", "marks": 1, "vsetrange": [0, 1], "showCorrectAnswer": true, "variableReplacements": [], "expectedvariablenames": [], "variableReplacementStrategy": "originalfirst", "showpreview": true, "answer": "A*2/B", "checkvariablenames": false, "scripts": {}, "showFeedbackIcon": true, "checkingtype": "absdiff", "checkingaccuracy": 0.001}], "type": "gapfill", "variableReplacementStrategy": "originalfirst", "scripts": {}, "marks": 0, "prompt": "

Vorm om naar B: 

\n

$A = \\frac{B \\cdot H}{2}$

\n

B = [[0]]

\n

Vorm om naar H: 

\n

$A = \\frac{B \\cdot H}{2}$

\n

H = [[1]]

", "showFeedbackIcon": true}], "advice": "", "ungrouped_variables": ["f1", "t1", "A", "B", "H", "variabele"], "type": "question"}]}], "allowPrinting": true, "navigation": {"allowregen": true, "reverse": true, "browse": true, "allowsteps": true, "showfrontpage": true, "showresultspage": "oncompletion", "navigatemode": "sequence", "onleave": {"action": "none", "message": ""}, "preventleave": true, "startpassword": ""}, "timing": {"allowPause": true, "timeout": {"action": "none", "message": ""}, "timedwarning": {"action": "none", "message": ""}}, "feedback": {"showactualmark": true, "showtotalmark": true, "showanswerstate": true, "allowrevealanswer": true, "advicethreshold": 0, "intro": "", "reviewshowscore": true, "reviewshowfeedback": true, "reviewshowexpectedanswer": true, "reviewshowadvice": true, "feedbackmessages": []}, "diagnostic": {"knowledge_graph": {"topics": [], "learning_objectives": []}, "script": "diagnosys", "customScript": ""}, "contributors": [{"name": "Johan Maertens", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1301/"}], "extensions": [], "custom_part_types": [], "resources": [["question-resources/Simple_Attention.svg", "/srv/numbas/media/question-resources/Simple_Attention.svg"]]}