// Numbas version: finer_feedback_settings
{"name": "Percentage bij deel van een geheel", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"preamble": {"css": "", "js": ""}, "statement": "<p>Bereken zonder rekenmachine welk percentage het deel van het geheel is.&nbsp;</p>\n<p>Het percent-teken moet je niet invullen.&nbsp;</p>", "name": "Percentage bij deel van een geheel", "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "<p>This question asks you to work out one value as a percentage of another. &nbsp;You are expected to do these without the help of a calculator.</p>"}, "extensions": [], "variable_groups": [], "tags": [], "variablesTest": {"condition": "", "maxRuns": 100}, "advice": "<p>Write it as a fraction - the small amount over the larger amount.</p>\n<p>If the denominator is not a factor of 100 then cancel the fraction down till it is a factor of 100.</p>\n<p>Once the denominator is a factor of 100 multiply the fraction up so that the denominator is 100.</p>\n<p>The percentage is the value of the numerator.</p>", "rulesets": {}, "functions": {}, "parts": [{"showCorrectAnswer": true, "stepsPenalty": "2", "marks": "3", "minValue": "(b/a)*100", "notationStyles": ["plain", "en", "si-en"], "steps": [{"showCorrectAnswer": true, "marks": "0", "minValue": "b/a", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": true, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "b/a", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>Start by writing it as a fraction.</p>", "allowFractions": true, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": "0", "minValue": "(b/a)*((100/a)/(100/a))", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": true, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(b/a)*((100/a)/(100/a))", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>Multiply the fraction up so that the denominator is equal to 100.</p>", "allowFractions": true, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": 1, "minValue": "(b/a)*100", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(b/a)*100", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>The value of the numerator is the percentage.</p>", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(b/a)*100", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>Welk percentage is $\\var{b}$ van $\\var{a}$ ?</p>", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "stepsPenalty": "2", "marks": "3", "minValue": "(d/c)*100", "notationStyles": ["plain", "en", "si-en"], "steps": [{"showCorrectAnswer": true, "marks": "0", "minValue": "d/c", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": true, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "d/c", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>Start by writing it as a fraction.</p>", "allowFractions": true, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": "0", "minValue": "(d/c)*((100/c)/(100/c))", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": true, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(d/c)*((100/c)/(100/c))", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>Multiply the fraction up so that the denominator is equal to 100.</p>", "allowFractions": true, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": 1, "minValue": "(d/c)*100", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(d/c)*100", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>The value of the numerator is the percentage.</p>", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(d/c)*100", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>Welk percentage is $\\var{d}$ van $\\var{c}$?</p>", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "stepsPenalty": "2", "marks": "3", "minValue": "(j/h)*100", "notationStyles": ["plain", "en", "si-en"], "steps": [{"showCorrectAnswer": true, "marks": "0", "minValue": "j/h", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": true, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "j/h", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>Start by writing it as a fraction.</p>", "allowFractions": true, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": "0", "minValue": "(j/h)*((100/h)/(100/h))", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": true, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(j/h)*((100/h)/(100/h))", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>Multiply the fraction up so that the denominator is equal to 100.</p>", "allowFractions": true, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": 1, "minValue": "(j/h)*100", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(j/h)*100", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>The value of the numerator is the percentage.</p>", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(j/h)*100", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>$\\var{j}$ is welk percentage van $\\var{h}$?</p>", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "stepsPenalty": "2", "marks": "4", "minValue": "(f/g)*100", "notationStyles": ["plain", "en", "si-en"], "steps": [{"showCorrectAnswer": true, "marks": "0", "minValue": "f/g", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": true, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "f/g", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>Start by making it a fraction</p>", "allowFractions": true, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": "0", "minValue": "(f/4)/(g/4)", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": true, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(f/4)/(g/4)", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>Then cancel the fraction&nbsp;down so that the denominator is a factor of 100.</p>", "allowFractions": true, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": "1", "minValue": "(f*(100/g))/(g*(100/g))", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": true, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(f*(100/g))/(g*(100/g))", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>Multiply up the fraction so that the denominator is 100.</p>", "allowFractions": true, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": 1, "minValue": "(f/g)*100", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(f/g)*100", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>The percentage is the value of the numerator.</p>", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(f/g)*100", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>$\\var{f}$ is welk percentage van $\\var{g}$?</p>", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "stepsPenalty": "2", "marks": "4", "minValue": "(k/l)*100", "notationStyles": ["plain", "en", "si-en"], "steps": [{"showCorrectAnswer": true, "marks": "0", "minValue": "k/l", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": true, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "k/l", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>Start by making it a fraction</p>", "allowFractions": true, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": "0", "minValue": "(k/3)/(l/3)", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": true, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(k/3)/(l/3)", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>Then cancel the fraction&nbsp;down so that the denominator is a factor of 100.</p>", "allowFractions": true, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": "1", "minValue": "(k*(100/l))/(l*(100/l))", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": true, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(k*(100/l))/(l*(100/l))", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>Multiply up the fraction so that the denominator is 100.</p>", "allowFractions": true, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": 1, "minValue": "(k/l)*100", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(k/l)*100", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>The percentage is the value of the numerator.</p>", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(k/l)*100", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>$\\var{k}$ is welk percentage van $\\var{l}$?</p>", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "stepsPenalty": "2", "marks": "4", "minValue": "(m/n)*100", "notationStyles": ["plain", "en", "si-en"], "steps": [{"showCorrectAnswer": true, "marks": "0", "minValue": "m/n", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": true, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "m/n", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>Start by making it a fraction</p>", "allowFractions": true, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": "0", "minValue": "(m/7)/(n/7)", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": true, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(m/7)/(n/7)", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>Then cancel the fraction&nbsp;down so that the denominator is a factor of 100.</p>", "allowFractions": true, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": "1", "minValue": "(m*(100/n))/(n*(100/n))", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": true, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(m*(100/n))/(m*(100/n))", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>Multiply up the fraction so that the denominator is 100.</p>", "allowFractions": true, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": 1, "minValue": "(m/n)*100", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(m/n)*100", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>The percentage is the value of the numerator.</p>", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(m/n)*100", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "<p>$\\var{m}$ is welk percentage van $\\var{n}$?</p>", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}], "ungrouped_variables": ["a", "b", "c", "d", "f", "g", "h", "j", "k", "l", "m", "n"], "variables": {"n": {"definition": "random(35,70,140,175,350)  //random number that when divided by 7 gives a factor of 100", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "n"}, "k": {"definition": "random(3..l-1#3)  //random number less than l that is divisible by 3", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "k"}, "b": {"definition": "random(1..a-1) //random number that is less than the value of a", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "b"}, "a": {"definition": "random([5,10,20,25,50,100]) //random value that is a factor of 100", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "a"}, "c": {"definition": "random([5,10,20,25,50,100]) //random value that is a factor of 100", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "c"}, "g": {"definition": "random(20,40,80) //random number from list", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "g"}, "m": {"definition": "random(7..n-1#7)  //random number that is divisble by 7 and less than n", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "m"}, "d": {"definition": "random(1..c-1) //random number that is less than the value of c", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "d"}, "j": {"definition": "random(1..h-1) //random number that is less than the value of h", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "j"}, "l": {"definition": "random(15,30,60,75,150)  //a random number that divides by 3 to give a factor of 100", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "l"}, "f": {"definition": "random(4..g-1#4) // a random number less than f that is divisible by 4", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "f"}, "h": {"definition": "random([5,10,20,25,50,100,200]) //random value that is a factor of 100", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "h"}}, "type": "question", "contributors": [{"name": "Johan Maertens", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1301/"}]}]}], "contributors": [{"name": "Johan Maertens", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1301/"}]}