These questions are asking you to use a non-calculator method to work out a percentage amount of a value.
", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "ungrouped_variables": ["a", "b", "c", "d", "g", "f", "h", "j", "k", "l", "m", "n"], "functions": {}, "variables": {"n": {"name": "n", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(100..1000#20)"}, "a": {"name": "a", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(0..100#5 except 0) //a multiple of 5%"}, "b": {"name": "b", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(100..1000#20) //a multiple of 20 betwen 100 and 1000"}, "j": {"name": "j", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(100..1000#20)"}, "g": {"name": "g", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(0..100#5 except [0,a,c]) //a multiple of 5%"}, "c": {"name": "c", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(0..100#5 except [0,a]) //a multiple of 5%"}, "d": {"name": "d", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(100..1000#20) //a multiple of 20 betwen 100 and 1000"}, "m": {"name": "m", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(0..100#5 except [0,a,c,g,h,k,25]) //a multiple of 5%"}, "l": {"name": "l", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(100..1000#20)"}, "h": {"name": "h", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(0..100#10 except [0,a,c,g]) //a multiple of 5%"}, "k": {"name": "k", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(0..100#5 except [0,a,c,g,h,10]) //a multiple of 5%"}, "f": {"name": "f", "group": "Ungrouped variables", "description": "", "templateType": "anything", "definition": "random(100..1000#20) //a multiple of 20 betwen 100 and 1000"}}, "variable_groups": [], "rulesets": {}, "parts": [{"variableReplacements": [], "minValue": "(a/100)*b", "maxValue": "(a/100)*b", "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "prompt": "Hoeveel is $\\var{a}\\text{%}$ van $\\var{b}$?
", "type": "numberentry", "scripts": {}, "showCorrectAnswer": true, "mustBeReduced": false, "showFeedbackIcon": true, "correctAnswerFraction": false, "allowFractions": true, "marks": 1, "mustBeReducedPC": 0}, {"variableReplacements": [], "minValue": "(c/100)*d", "maxValue": "(c/100)*d", "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "prompt": "Hoeveel is $\\var{c}\\text{%}$ van $\\var{d}$?
", "type": "numberentry", "scripts": {}, "showCorrectAnswer": true, "mustBeReduced": false, "showFeedbackIcon": true, "correctAnswerFraction": false, "allowFractions": false, "marks": 1, "mustBeReducedPC": 0}, {"variableReplacements": [], "minValue": "(g/100)*f", "maxValue": "(g/100)*f", "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "prompt": "Hoeveel is $\\var{g}\\text{%}$ van $\\var{f}$?
", "type": "numberentry", "scripts": {}, "showCorrectAnswer": true, "mustBeReduced": false, "showFeedbackIcon": true, "correctAnswerFraction": false, "allowFractions": false, "marks": 1, "mustBeReducedPC": 0}, {"variableReplacements": [], "minValue": "(h/100)*j", "maxValue": "(h/100)*j", "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "prompt": "Hoeveel is $\\var{h}\\text{%}$ van $\\var{j}$?
", "type": "numberentry", "scripts": {}, "showCorrectAnswer": true, "mustBeReduced": false, "showFeedbackIcon": true, "correctAnswerFraction": false, "allowFractions": false, "marks": 1, "mustBeReducedPC": 0}, {"variableReplacements": [], "minValue": "(k/100)*l", "maxValue": "(k/100)*l", "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "prompt": "Hoeveel is $\\var{k}\\text{%}$ van $\\var{l}$
", "type": "numberentry", "scripts": {}, "showCorrectAnswer": true, "mustBeReduced": false, "showFeedbackIcon": true, "correctAnswerFraction": false, "allowFractions": false, "marks": 1, "mustBeReducedPC": 0}, {"variableReplacements": [], "minValue": "(m/100)*n", "maxValue": "(m/100)*n", "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "prompt": "Hoeveel is $\\var{m}\\text{%}$ van $\\var{n}$?
", "type": "numberentry", "scripts": {}, "showCorrectAnswer": true, "mustBeReduced": false, "showFeedbackIcon": true, "correctAnswerFraction": false, "allowFractions": false, "marks": 1, "mustBeReducedPC": 0}], "advice": "Work out your quick percentages first: 50%, 25%, 10%, 5% and 1%
\nAdd or subtract combinations of these to get the required amount.
", "statement": "Deze vragen moeten zonder rekenmachine berekend worden.
", "preamble": {"css": "", "js": ""}, "tags": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "type": "question"}, {"name": "Met percentage vermeerderen of verminderen ", "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": {"css": "", "js": ""}, "statement": "Here you need to work out percentage increases and decreases using non-calculator methods.
\nIf you get stuck you can select \"Show Steps\" which will take you through how to answer the question.
", "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "Non-calculator percentage increase and decrease calculations.
"}, "variable_groups": [], "tags": [], "variablesTest": {"condition": "", "maxRuns": 100}, "advice": "", "rulesets": {}, "functions": {}, "parts": [{"showCorrectAnswer": true, "stepsPenalty": 0, "marks": "2", "minValue": "(1+b/100)*a", "notationStyles": ["plain", "en", "si-en"], "steps": [{"showCorrectAnswer": true, "marks": 1, "minValue": "(b/100)*a", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(b/100)*a", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "Work out $\\var{b}\\text{%}$ of $\\var{a}$.
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": 1, "minValue": "(1+b/100)*a", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(1+b/100)*a", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "Add your previous answer to $\\var{a}$.
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(1+b/100)*a", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "Vermeerder $\\var{a}$ met $\\var{b}\\text{%}$.
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "stepsPenalty": 0, "marks": "2", "minValue": "(1+d/100)*c", "notationStyles": ["plain", "en", "si-en"], "steps": [{"showCorrectAnswer": true, "marks": 1, "minValue": "(d/100)*c", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(d/100)*c", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "Work out $\\var{d}\\text{%}$ of $\\var{c}$.
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": 1, "minValue": "(1+d/100)*c", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(1+d/100)*c", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "Add your previous answer to $\\var{c}$.
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(1+d/100)*c", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "Vermeerder $\\var{c}$ met $\\var{d}\\text{%}$.
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "stepsPenalty": 0, "marks": "2", "minValue": "(1-g/100)*f", "notationStyles": ["plain", "en", "si-en"], "steps": [{"showCorrectAnswer": true, "marks": 1, "minValue": "(g/100)*f", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(g/100)*f", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "Work out $\\var{g}\\text{%}$ of $\\var{f}$
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": 1, "minValue": "(1-g/100)*f", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(1-g/100)*f", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "Subtract your previous answer from $\\var{f}$.
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(1-g/100)*f", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "Verminder $\\var{f}$ met $\\var{g}\\text{%}$.
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "stepsPenalty": 0, "marks": "2", "minValue": "(1-j/100)*h", "notationStyles": ["plain", "en", "si-en"], "steps": [{"showCorrectAnswer": true, "marks": 1, "minValue": "(j/100)*h", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(j/100)*h", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "Work out $\\var{j}\\text{%}$ of $\\var{h}$
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": 1, "minValue": "(1-j/100)*h", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(1-j/100)*h", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "Subtract your previous answer from $\\var{h}$.
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(1-j/100)*h", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "Verminder $\\var{h}$ met $\\var{j}\\text{%}$.
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "stepsPenalty": 0, "marks": "2", "minValue": "(1+l/100)*k", "notationStyles": ["plain", "en", "si-en"], "steps": [{"showCorrectAnswer": true, "marks": 1, "minValue": "(l/100)*k", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(l/100)*k", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "Work out $\\var{l}\\text{%}$ of $\\var{k}$
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": 1, "minValue": "(1-l/100)*k", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(1-l/100)*k", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "Add your previous answer to $\\var{k}$.
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(1+l/100)*k", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "Vermeerder $\\var{k}$ met $\\var{l}\\text{%}$.
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "stepsPenalty": 0, "marks": "2", "minValue": "(1-n/100)*m", "notationStyles": ["plain", "en", "si-en"], "steps": [{"showCorrectAnswer": true, "marks": 1, "minValue": "(n/100)*m", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(n/100)*m", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "Work out $\\var{n}\\text{%}$ of $\\var{m}$
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}, {"showCorrectAnswer": true, "marks": 1, "minValue": "(1-n/100)*m", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(1-n/100)*m", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "Subtract your previous answer from $\\var{m}$.
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(1-n/100)*m", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "Verminder $\\var{m}$ met $\\var{n}\\text{%}$.
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}], "ungrouped_variables": ["a", "b", "c", "d", "f", "g", "h", "j", "k", "l", "m", "n"], "variables": {"n": {"definition": "random(0..100) //random number between 1 and 100", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "n"}, "b": {"definition": "random(0..100#5) //A random percentage between 0 and 100 that is divisble by 5", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "b"}, "m": {"definition": "random(100..1000#10) // random number between 100 and 1000 that is divisble by 10", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "m"}, "k": {"definition": "random(100..1000#10) // random number between 100 and 1000 that is divisble by 10", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "k"}, "c": {"definition": "random(100..1000#20) //random number between 100 and 1000 that is divisible by 20", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "c"}, "g": {"definition": "random(0..100#5) //A random percentage between 0 and 100 that is divisble by 5", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "g"}, "l": {"definition": "random(0..100) //random number between 1 and 100", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "l"}, "d": {"definition": "random(0..100#5) //A random percentage between 0 and 100 that is divisble by 5", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "d"}, "j": {"definition": "random(0..100#5) //A random percentage between 0 and 100 that is divisble by 5", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "j"}, "a": {"definition": "random(100..1000#20) //random number between 100 and 1000 that is divisible by 20", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "a"}, "f": {"definition": "random(100..1000#20) //random number between 100 and 1000 that is divisible by 20", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "f"}, "h": {"definition": "random(100..1000#20) //random number between 100 and 1000 that is divisible by 20", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "h"}}, "type": "question"}, {"name": "Percentage bij deel van een geheel", "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": {"css": "", "js": ""}, "statement": "Bereken zonder rekenmachine welk percentage het deel van het geheel is.
\nHet percent-teken moet je niet invullen.
", "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "This question asks you to work out one value as a percentage of another. You are expected to do these without the help of a calculator.
"}, "variable_groups": [], "tags": [], "variablesTest": {"condition": "", "maxRuns": 100}, "advice": "Write it as a fraction - the small amount over the larger amount.
\nIf the denominator is not a factor of 100 then cancel the fraction down till it is a factor of 100.
\nOnce the denominator is a factor of 100 multiply the fraction up so that the denominator is 100.
\nThe percentage is the value of the numerator.
", "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": "Start by writing it as a fraction.
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", "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": "Start by writing it as a fraction.
", "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": "Multiply the fraction up so that the denominator is equal to 100.
", "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": "The value of the numerator is the percentage.
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", "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": "Start by writing it as a fraction.
", "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": "Multiply the fraction up so that the denominator is equal to 100.
", "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": "The value of the numerator is the percentage.
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(j/h)*100", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "$\\var{j}$ is welk percentage van $\\var{h}$?
", "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": "Start by making it a fraction
", "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": "Then cancel the fraction down so that the denominator is a factor of 100.
", "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": "Multiply up the fraction so that the denominator is 100.
", "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": "The percentage is the value of the numerator.
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(f/g)*100", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "$\\var{f}$ is welk percentage van $\\var{g}$?
", "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": "Start by making it a fraction
", "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": "Then cancel the fraction down so that the denominator is a factor of 100.
", "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": "Multiply up the fraction so that the denominator is 100.
", "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": "The percentage is the value of the numerator.
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(k/l)*100", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "$\\var{k}$ is welk percentage van $\\var{l}$?
", "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": "Start by making it a fraction
", "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": "Then cancel the fraction down so that the denominator is a factor of 100.
", "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": "Multiply up the fraction so that the denominator is 100.
", "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": "The percentage is the value of the numerator.
", "allowFractions": false, "mustBeReduced": false, "variableReplacements": []}], "variableReplacementStrategy": "originalfirst", "type": "numberentry", "correctAnswerFraction": false, "correctAnswerStyle": "plain", "scripts": {}, "maxValue": "(m/n)*100", "showFeedbackIcon": true, "mustBeReducedPC": 0, "prompt": "$\\var{m}$ is welk percentage van $\\var{n}$?
", "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"}, {"name": "Decimalen en percentages", "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": {"css": "", "js": ""}, "statement": "Here you just need to pick out the solution that is equivalent to the value in the question.
", "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "This question concentrates on converting between decimals and percentages
"}, "variable_groups": [], "tags": [], "variablesTest": {"condition": "", "maxRuns": 100}, "advice": "", "rulesets": {}, "functions": {}, "parts": [{"showCorrectAnswer": true, "displayColumns": "0", "marks": 0, "variableReplacementStrategy": "originalfirst", "type": "1_n_2", "maxMarks": "1", "matrix": ["1", 0, 0, 0, 0, 0, 0, 0], "scripts": {}, "minMarks": "1", "displayType": "radiogroup", "showFeedbackIcon": true, "prompt": "Selecteer het antwoord dat gelijk is aan $\\var{a}$%
", "shuffleChoices": true, "distractors": ["", "", "", "", "", "", "", ""], "choices": ["$\\var{b}$
", "$\\var{c}$
", "$\\var{d}$
", "$\\var{f}$
", "$\\var{g}$
", "$\\var{h}$
", "$\\var{j}$
", "$\\var{k}$
"], "variableReplacements": []}, {"showCorrectAnswer": true, "displayColumns": 0, "marks": 0, "variableReplacementStrategy": "originalfirst", "type": "1_n_2", "maxMarks": "1", "matrix": ["1", 0, 0, 0, 0, 0, 0, 0], "scripts": {}, "minMarks": "1", "displayType": "radiogroup", "showFeedbackIcon": true, "prompt": "Selecteer het antwoord dat gelijk is aan $\\var{l}$%
", "shuffleChoices": true, "distractors": ["", "", "", "", "", "", "", ""], "choices": ["$\\var{m}$
", "$\\var{n}$
", "$\\var{o}$
", "$\\var{p}$
", "$\\var{q}$
", "$\\var{r}$
", "$\\var{s}$
", "$\\var{t}$
"], "variableReplacements": []}, {"showCorrectAnswer": true, "displayColumns": 0, "marks": 0, "variableReplacementStrategy": "originalfirst", "type": "1_n_2", "maxMarks": "1", "matrix": ["1", 0, 0, 0, 0, 0, 0, 0], "scripts": {}, "minMarks": "1", "displayType": "radiogroup", "showFeedbackIcon": true, "prompt": "Selecteer het antwoord dat gelijk is aan $\\var{u}$
", "shuffleChoices": true, "distractors": ["", "", "", "", "", "", "", ""], "choices": ["$\\var{v}$ %
", "$\\var{w}$ %
", "$\\var{x}$ %
", "$\\var{y}$ %
", "$\\var{z}$ %
", "$\\var{aa}$ %
", "$\\var{bb}$ %
", "$\\var{cc}$ %
"], "variableReplacements": []}, {"showCorrectAnswer": true, "displayColumns": 0, "marks": 0, "variableReplacementStrategy": "originalfirst", "type": "1_n_2", "maxMarks": "1", "matrix": ["1", 0, 0, 0, 0, 0, 0, 0], "scripts": {}, "minMarks": "1", "displayType": "radiogroup", "showFeedbackIcon": true, "prompt": "Selecteer het antwoord dat gelijk is aan $\\var{dd}$
", "shuffleChoices": true, "distractors": ["", "", "", "", "", "", "", ""], "choices": ["$\\var{ee}$ %
", "$\\var{ff}$ %
", "$\\var{gg}$ %
", "$\\var{hh}$ %
", "$\\var{ii}$ %
", "$\\var{jj}$ %
", "$\\var{kk}$ %
", "$\\var{ll}$ %
"], "variableReplacements": []}], "ungrouped_variables": ["a", "b", "c", "d", "f", "g", "h", "j", "k", "l", "m", "n", "o", "p", "q", "r", "s", "t", "u", "v", "w", "x", "y", "z", "aa", "bb", "cc", "dd", "ee", "ff", "gg", "hh", "ii", "jj", "kk", "ll"], "variables": {"bb": {"definition": "u*200", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "bb"}, "kk": {"definition": "dd*200", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "kk"}, "t": {"definition": "l/20", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "t"}, "w": {"definition": "u*10", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "w"}, "u": {"definition": "random(0..1#0.01) //random decimal to become a percentage", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "u"}, "gg": {"definition": "dd/100", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "gg"}, "m": {"definition": "l/100", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "m"}, "dd": {"definition": "random(0..1#0.001)", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "dd"}, "ll": {"definition": "dd*20", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "ll"}, "jj": {"definition": "dd*2", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "jj"}, "d": {"definition": "a*100", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "d"}, "z": {"definition": "u/10", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "z"}, "ee": {"definition": "dd*100", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "ee"}, "j": {"definition": "a/200", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "j"}, "l": {"definition": "random(1..100#0.1) //random decimal percentage", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "l"}, "h": {"definition": "a/2", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "h"}, "x": {"definition": "u/100", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "x"}, "aa": {"definition": "u*2", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "aa"}, "y": {"definition": "u*1000", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "y"}, "p": {"definition": "l/1000", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "p"}, "k": {"definition": "a/20", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "k"}, "b": {"definition": "a/100", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "b"}, "hh": {"definition": "dd*1000\n", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "hh"}, "v": {"definition": "u*100", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "v"}, "a": {"definition": "random(1..100) //random percentage between 1 and 100", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "a"}, "cc": {"definition": "u*20", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "cc"}, "ii": {"definition": "dd/10", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "ii"}, "c": {"definition": "a/10", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "c"}, "s": {"definition": "l/200", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "s"}, "n": {"definition": "l/10", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "n"}, "r": {"definition": "l/2", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "r"}, "ff": {"definition": "dd*10", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "ff"}, "g": {"definition": "a*10", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "g"}, "o": {"definition": "l*100", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "o"}, "q": {"definition": "l*10", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "q"}, "f": {"definition": "a/1000", "templateType": "anything", "group": "Ungrouped variables", "description": "", "name": "f"}}, "type": "question"}, {"name": "Breuken en percentages", "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/"}], "rulesets": {}, "statement": "This question allows you to practice converting between fractions and percentages.
", "parts": [{"type": "gapfill", "scripts": {}, "marks": 0, "showCorrectAnswer": true, "gaps": [{"variableReplacements": [], "scripts": {}, "minValue": "a/100", "showCorrectAnswer": true, "maxValue": "a/100", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "marks": 1, "correctAnswerFraction": true, "type": "numberentry", "mustBeReducedPC": 0, "correctAnswerStyle": "plain", "showFeedbackIcon": true, "allowFractions": true, "mustBeReduced": false}, {"variableReplacements": [], "scripts": {}, "minValue": "b/100", "showCorrectAnswer": true, "maxValue": "b/100", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "marks": 1, "correctAnswerFraction": true, "type": "numberentry", "mustBeReducedPC": 0, "correctAnswerStyle": "plain", "showFeedbackIcon": true, "allowFractions": true, "mustBeReduced": false}, {"variableReplacements": [], "scripts": {}, "minValue": "c/100", "showCorrectAnswer": true, "maxValue": "c/100", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "marks": 1, "correctAnswerFraction": true, "type": "numberentry", "mustBeReducedPC": 0, "correctAnswerStyle": "plain", "showFeedbackIcon": true, "allowFractions": true, "mustBeReduced": false}, {"variableReplacements": [], "scripts": {}, "minValue": "d/100", "showCorrectAnswer": true, "maxValue": "d/100", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "marks": 1, "correctAnswerFraction": true, "type": "numberentry", "mustBeReducedPC": 0, "correctAnswerStyle": "plain", "showFeedbackIcon": true, "allowFractions": true, "mustBeReduced": false}], "prompt": "Tik een breuk met dezelfde waarde als het percentage.
\n$\\var{a}$ % = [[0]]
\n$\\var{b}$ % = [[1]]
\n$\\var{c}$ % = [[2]]
\n$\\var{d}$ % = [[3]]
", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "variableReplacements": []}, {"type": "gapfill", "scripts": {}, "marks": 0, "showCorrectAnswer": true, "gaps": [{"variableReplacements": [], "scripts": {}, "minValue": "(f/g)*100", "showCorrectAnswer": true, "maxValue": "(f/g)*100", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "marks": 1, "correctAnswerFraction": false, "type": "numberentry", "mustBeReducedPC": 0, "correctAnswerStyle": "plain", "showFeedbackIcon": true, "allowFractions": false, "mustBeReduced": false}, {"variableReplacements": [], "scripts": {}, "minValue": "(h/j)*100", "showCorrectAnswer": true, "maxValue": "(h/j)*100", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "marks": 1, "correctAnswerFraction": false, "type": "numberentry", "mustBeReducedPC": 0, "correctAnswerStyle": "plain", "showFeedbackIcon": true, "allowFractions": false, "mustBeReduced": false}, {"variableReplacements": [], "scripts": {}, "minValue": "(k/l)*100", "showCorrectAnswer": true, "maxValue": "(k/l)*100", "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "marks": 1, "correctAnswerFraction": false, "type": "numberentry", "mustBeReducedPC": 0, "correctAnswerStyle": "plain", "showFeedbackIcon": true, "allowFractions": false, "mustBeReduced": false}], "prompt": "Zet om naar een percentage. (Het procent-teken moet je niet tikken)
\n$\\frac{\\var{f}}{\\var{g}}$ = [[0]] %
\n$\\frac{\\var{h}}{\\var{j}}$ = [[1]] %
\n$\\frac{\\var{k}}{\\var{l}}$ = [[2]] %
\n", "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "variableReplacements": []}], "metadata": {"description": "This question will help you practice converting between fractions and percentages
", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "preamble": {"css": "", "js": ""}, "advice": "", "variables": {"l": {"name": "l", "description": "", "group": "Ungrouped variables", "definition": "random([8,16,20,40,80,100,200,400])", "templateType": "anything"}, "f": {"name": "f", "description": "", "group": "Ungrouped variables", "definition": "random(1..g-1)", "templateType": "anything"}, "j": {"name": "j", "description": "", "group": "Ungrouped variables", "definition": "random([4,5,10,20,25,40,50,100,200])", "templateType": "anything"}, "a": {"name": "a", "description": "", "group": "Ungrouped variables", "definition": "random(0..100#10 except [0,100])", "templateType": "anything"}, "b": {"name": "b", "description": "", "group": "Ungrouped variables", "definition": "random(0..100#5 except [0,100])", "templateType": "anything"}, "d": {"name": "d", "description": "", "group": "Ungrouped variables", "definition": "random(1..200)", "templateType": "anything"}, "c": {"name": "c", "description": "", "group": "Ungrouped variables", "definition": "random(0..100 except [0,100])", "templateType": "anything"}, "n": {"name": "n", "description": "", "group": "Ungrouped variables", "definition": "random([3,6,9])", "templateType": "anything"}, "k": {"name": "k", "description": "", "group": "Ungrouped variables", "definition": "random(0..l-1#4 except 0)", "templateType": "anything"}, "m": {"name": "m", "description": "", "group": "Ungrouped variables", "definition": "random(1..n)", "templateType": "anything"}, "g": {"name": "g", "description": "", "group": "Ungrouped variables", "definition": "random([2,4,5,10,20,25,50,100])", "templateType": "anything"}, "h": {"name": "h", "description": "", "group": "Ungrouped variables", "definition": "random(0..j-1#2 except 0)", "templateType": "anything"}}, "functions": {}, "tags": [], "variablesTest": {"condition": "", "maxRuns": 100}, "variable_groups": [], "ungrouped_variables": ["a", "b", "c", "d", "f", "g", "h", "j", "k", "l", "m", "n"], "type": "question"}, {"name": "Decimale getallen en breuken ", "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/"}], "statement": "This question allows you to practice converting between decimals and fractions
", "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "This question allows you to practice converting between decimals and fractions
"}, "variables": {"c": {"templateType": "anything", "name": "c", "group": "Ungrouped variables", "description": "", "definition": "random(0..1#0.001 except [0,1])"}, "m": {"templateType": "anything", "name": "m", "group": "Ungrouped variables", "description": "", "definition": "random(1..n-1)"}, "j": {"templateType": "anything", "name": "j", "group": "Ungrouped variables", "description": "", "definition": "random([2,4,5,8,10,20,25,40,50,100,200,400,1000] except g)"}, "a": {"templateType": "anything", "name": "a", "group": "Ungrouped variables", "description": "", "definition": "random(0..1#0.1 except[0,1])"}, "n": {"templateType": "anything", "name": "n", "group": "Ungrouped variables", "description": "", "definition": "random([3,6,9])"}, "l": {"templateType": "anything", "name": "l", "group": "Ungrouped variables", "description": "", "definition": "random([2,4,5,8,10,20,25,40,50,100,200,400,1000] except j)"}, "k": {"templateType": "anything", "name": "k", "group": "Ungrouped variables", "description": "", "definition": "random(1..l-1)"}, "f": {"templateType": "anything", "name": "f", "group": "Ungrouped variables", "description": "", "definition": "random(1..g-1)"}, "g": {"templateType": "anything", "name": "g", "group": "Ungrouped variables", "description": "", "definition": "random([2,4,5,10,20,25,50,100,200,1000])"}, "h": {"templateType": "anything", "name": "h", "group": "Ungrouped variables", "description": "", "definition": "random(1..j-1)"}, "d": {"templateType": "anything", "name": "d", "group": "Ungrouped variables", "description": "", "definition": "random(1..2#0.01 except [1,2])"}, "b": {"templateType": "anything", "name": "b", "group": "Ungrouped variables", "description": "", "definition": "random(0..1#0.01 except[0,1])"}}, "variable_groups": [], "advice": "", "functions": {}, "tags": [], "rulesets": {}, "ungrouped_variables": ["a", "b", "c", "d", "f", "g", "h", "j", "k", "l", "m", "n"], "variablesTest": {"maxRuns": 100, "condition": ""}, "parts": [{"marks": 0, "scripts": {}, "prompt": "Geef de breuk die gelijk is aan het decimale getal. (Let op: het puntje stelt hier de komma voor)
\n$\\var{a}$ = [[0]]
\n$\\var{b}$ = [[1]]
\n$\\var{c}$ = [[2]]
\n$\\var{d}$ = [[3]]
", "variableReplacements": [], "gaps": [{"minValue": "(a*10)/10", "scripts": {}, "allowFractions": true, "maxValue": "(a*10)/10", "showFeedbackIcon": true, "type": "numberentry", "mustBeReducedPC": "50", "showCorrectAnswer": true, "marks": 1, "variableReplacements": [], "correctAnswerStyle": "plain", "mustBeReduced": true, "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": true}, {"minValue": "(b*100)/100", "scripts": {}, "allowFractions": true, "maxValue": "(b*100)/100", "showFeedbackIcon": true, "type": "numberentry", "mustBeReducedPC": "50", "showCorrectAnswer": true, "marks": 1, "variableReplacements": [], "correctAnswerStyle": "plain", "mustBeReduced": true, "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": true}, {"minValue": "(c*1000)/1000", "scripts": {}, "allowFractions": true, "maxValue": "(c*1000)/1000", "showFeedbackIcon": true, "type": "numberentry", "mustBeReducedPC": "50", "showCorrectAnswer": true, "marks": 1, "variableReplacements": [], "correctAnswerStyle": "plain", "mustBeReduced": true, "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": true}, {"minValue": "(d*100)/100", "scripts": {}, "allowFractions": true, "maxValue": "(d*100)/100", "showFeedbackIcon": true, "type": "numberentry", "mustBeReducedPC": "50", "showCorrectAnswer": true, "marks": 1, "variableReplacements": [], "correctAnswerStyle": "plain", "mustBeReduced": true, "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": true}], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "type": "gapfill", "showCorrectAnswer": true}, {"marks": 0, "scripts": {}, "prompt": "Geef het decimale getal dat gelijk is aan de breuk. Tik een puntje i.p.v. een komma.
\n$\\frac{\\var{f}}{\\var{g}}$ = [[0]]
\n$\\frac{\\var{h}}{\\var{j}}$ = [[1]]
\n$\\frac{\\var{k}}{\\var{l}}$ = [[2]]
\n$\\frac{\\var{m}}{\\var{n}}$ = [[3]]
", "variableReplacements": [], "gaps": [{"minValue": "f/g", "scripts": {}, "allowFractions": false, "maxValue": "f/g", "showFeedbackIcon": true, "type": "numberentry", "mustBeReducedPC": "50", "showCorrectAnswer": true, "marks": 1, "variableReplacements": [], "correctAnswerStyle": "plain", "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false}, {"minValue": "h/j", "scripts": {}, "allowFractions": false, "maxValue": "h/j", "showFeedbackIcon": true, "type": "numberentry", "mustBeReducedPC": "50", "showCorrectAnswer": true, "marks": 1, "variableReplacements": [], "correctAnswerStyle": "plain", "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false}, {"minValue": "k/l", "scripts": {}, "allowFractions": false, "maxValue": "k/l", "showFeedbackIcon": true, "type": "numberentry", "mustBeReducedPC": "50", "showCorrectAnswer": true, "marks": 1, "variableReplacements": [], "correctAnswerStyle": "plain", "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false}, {"minValue": "m/n", "scripts": {}, "precisionMessage": "Let op het aantal decimalen en de afronding
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", "displayType": "radiogroup", "warningType": "none", "shuffleAnswers": true, "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "shuffleChoices": true, "type": "m_n_x", "showCorrectAnswer": true, "marks": 0, "maxAnswers": 0, "variableReplacements": [], "minMarks": "10", "minAnswers": "0", "answers": ["$\\frac{1}{2}$
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", "$\\frac{1}{25}$
", "$\\frac{1}{100}$
", "$\\frac{1}{3}$
", "$\\frac{1}{9}$
", "$\\frac{3}{4}$
", "$\\frac{2}{5}$
", "$\\frac{1}{11}$
", "$\\frac{1}{33}$
", "$\\frac{1}{01}$
"], "maxMarks": "10", "choices": ["$0.5$
", "$0.25$
", "$0.2$
", "$0.1$
", "$0.125$
", "$0.05$
", "$0.04$
", "$0.01$
", "$0.3\\dot{3}$
", "$0.1\\dot{1}$
", "$0.6$
", "$0.3$
", "$0.85$
", "$0.6\\dot{6}$
", "$0.45$
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