// Numbas version: finer_feedback_settings {"name": "In delen volgens verhouding verdelen", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"extensions": [], "advice": "
Part 1:
\nAdd the ratio numbers and then divide the length by the summed total
\n$\\frac{\\var{lent}}{\\var{summ}}$
\nThen 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:
\nUse 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
\nrebel
\nrebelmaths
\n", "licence": "Creative Commons Attribution 4.0 International"}, "variablesTest": {"maxRuns": 100, "condition": ""}, "tags": [], "name": "In delen volgens verhouding verdelen", "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.
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", "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/"}]}