// Numbas version: finer_feedback_settings
{"name": "Simon's copy of Q5 Paint and Alloy Ratio", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Ratios used in alloys and mixing paints</p>\n<p>rebelmaths</p>"}, "tags": [], "ungrouped_variables": ["material", "ratio1", "ratio2", "ratio3", "weight", "ans1", "number0", "number1", "number2", "low", "ans2", "ans3", "ans4", "place", "worker", "worker2", "worker1", "ans5", "worker3", "subvalue", "money", "ratioab", "ratioc", "ans6", "ans7", "ans8", "hcf", "ratiod", "ratiodd", "vol", "totd", "ansd1", "ansd2", "ansd3", "gla", "m"], "variable_groups": [{"variables": ["coloura", "colourb", "ratio31", "ratio32", "vol3", "vol1", "vol2", "ratioa", "ans31", "ans32", "ans33", "ans34"], "name": "Unnamed group"}], "variables": {"ratioab": {"definition": "shuffle(2.1..4.4#0.1)[0..2]", "name": "ratioab", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "ans7": {"definition": "({money}/10)*ratioab[1]", "name": "ans7", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "ratioc": {"definition": "10 - (ratioab[0] + ratioab[1])", "name": "ratioc", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "gla": {"definition": "random(35..60#5)", "name": "gla", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "ans31": {"definition": "{ratio31}*{ratioa}", "name": "ans31", "group": "Unnamed group", "description": "", "templateType": "anything"}, "ansd3": {"definition": "floor((totd+ansd1+ansd2)/gla)", "name": "ansd3", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "worker": {"definition": "shuffle(5..12)[0..3]", "name": "worker", "group": "Ungrouped variables", 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"shuffle(['manganese','silicon','copper','zinc','iron','cobalt','platinum'])[0..2]", "name": "material", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "ratiodd": {"definition": "15 - (ratiod[0]+ratiod[1])", "name": "ratiodd", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "ansd2": {"definition": "vol*ratiodd", "name": "ansd2", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "ratio31": {"definition": "random(1..7#2)", "name": "ratio31", "group": "Unnamed group", "description": "", "templateType": "anything"}, "number2": {"definition": "random(10,13,15,16)", "name": "number2", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "ans8": {"definition": "({money}/10)*{ratioc}", "name": "ans8", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "ratiod": {"definition": "shuffle(2..7)[0..2]", "name": "ratiod", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "ans32": {"definition": "{ratio32}*{ratioa}", "name": "ans32", "group": "Unnamed group", "description": "", "templateType": "anything"}, "ratio32": {"definition": "random(2..6#2)", "name": "ratio32", "group": "Unnamed group", "description": "", "templateType": "anything"}}, "name": "Simon's copy of Q5 Paint and Alloy Ratio", "parts": [{"showCorrectAnswer": true, "steps": [{"customMarkingAlgorithm": "", "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "marks": 0, "unitTests": [], "showFeedbackIcon": true, "prompt": "<p>Have a look back at Q4 (b). This is very similar.</p>", "type": "information", "variableReplacementStrategy": "originalfirst", "scripts": {}}], "showFeedbackIcon": true, "unitTests": [], "scripts": {}, "gaps": [{"showCorrectAnswer": true, "showFeedbackIcon": true, "correctAnswerStyle": "plain", "maxValue": "{ans1}", "unitTests": [], "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "minValue": "{ans1}", "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "mustBeReduced": false, "marks": 1, "mustBeReducedPC": 0, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "allowFractions": false, "type": "numberentry"}], "type": "gapfill", "customMarkingAlgorithm": "", "prompt": "<p>An alloy consists of $\\var{material[0]}$, $\\var{material[1]}$ and&nbsp;tin in the ratio $\\var{ratio1}$:$\\var{ratio2}$:$\\var{ratio3}$. If there are $\\var{weight}$kg&nbsp;of tin in the alloy, find its total weight.</p>\n<p><em>(Answer in kg to the nearest&nbsp;whole number)</em></p>\n<p>[[0]]kg</p>", "marks": 0, "stepsPenalty": 0, "sortAnswers": false, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst"}, {"showCorrectAnswer": true, "gaps": [{"showCorrectAnswer": true, "showFeedbackIcon": true, "correctAnswerStyle": "plain", "maxValue": "{ansd1}", "unitTests": [], "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "minValue": "{ansd1}", "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "mustBeReduced": false, "marks": 1, "mustBeReducedPC": 0, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "allowFractions": false, "type": "numberentry"}, {"showCorrectAnswer": true, "showFeedbackIcon": true, "correctAnswerStyle": "plain", "maxValue": "{ansd2}", "unitTests": [], "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "minValue": "{ansd2}", "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "mustBeReduced": false, "marks": 1, "mustBeReducedPC": 0, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "allowFractions": false, "type": "numberentry"}, {"showCorrectAnswer": true, "showFeedbackIcon": true, "correctAnswerStyle": "plain", "maxValue": "{ansd3}", "unitTests": [], "scripts": {}, "notationStyles": ["plain", "en", "si-en"], "minValue": "{ansd3}", "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "mustBeReduced": false, "marks": 1, "mustBeReducedPC": 0, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "allowFractions": false, "type": "numberentry"}], "showFeedbackIcon": true, "unitTests": [], "scripts": {}, "type": "gapfill", "customMarkingAlgorithm": "", "prompt": "<p>A cocktail contains Vodka, Tia Maria and milk in the ratio&nbsp;$\\var{ratiod[0]}:\\var{ratiod[1]}:\\var{ratiodd}$. If $\\var{totd}$ml of Vodka is used to make this cocktail for a party, how much Tia Maria and milk is needed?</p>\n<p>Tia Maria needed =&nbsp;[[0]]ml</p>\n<p>Milk&nbsp;needed =&nbsp;[[1]]ml</p>\n<p>How many $\\var{gla}$ ml glasses will this fill?</p>\n<p><em>Count only full&nbsp;glasses!!</em></p>\n<p>[[2]]glasses</p>", "marks": 0, "sortAnswers": false, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst"}, {"showCorrectAnswer": true, "gaps": [{"type": "numberentry", "unitTests": [], "strictPrecision": false, "precision": "2", "notationStyles": ["plain", "en", "si-en"], "showPrecisionHint": true, "minValue": "{ans31}", "customMarkingAlgorithm": "", "precisionMessage": "You have not given your answer to the correct precision.", "precisionPartialCredit": 0, "showFeedbackIcon": true, "scripts": {}, "mustBeReducedPC": 0, "showCorrectAnswer": true, "mustBeReduced": false, "correctAnswerStyle": "plain", "maxValue": "{ans31}", "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "precisionType": "dp", "correctAnswerFraction": false, "marks": 1, "allowFractions": false, "variableReplacementStrategy": "originalfirst"}, {"type": "numberentry", "unitTests": [], "strictPrecision": false, "precision": "2", "notationStyles": ["plain", "en", "si-en"], "showPrecisionHint": true, "minValue": "{ans32}", "customMarkingAlgorithm": "", "precisionMessage": "You have not given your answer to the correct precision.", "precisionPartialCredit": 0, "showFeedbackIcon": true, "scripts": {}, "mustBeReducedPC": 0, "showCorrectAnswer": true, "mustBeReduced": false, "correctAnswerStyle": "plain", "maxValue": "{ans32}", "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "precisionType": "dp", "correctAnswerFraction": false, "marks": 1, "allowFractions": false, "variableReplacementStrategy": "originalfirst"}, {"type": "numberentry", "unitTests": [], "strictPrecision": false, "precision": "2", "notationStyles": ["plain", "en", "si-en"], "showPrecisionHint": true, "minValue": "{ans33}", "customMarkingAlgorithm": "", "precisionMessage": "You have not given your answer to the correct precision.", "precisionPartialCredit": 0, "showFeedbackIcon": true, "scripts": {}, "mustBeReducedPC": 0, "showCorrectAnswer": true, "mustBeReduced": false, "correctAnswerStyle": "plain", "maxValue": "{ans33}", "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "precisionType": "dp", "correctAnswerFraction": false, "marks": 1, "allowFractions": false, "variableReplacementStrategy": "originalfirst"}, {"type": "numberentry", "unitTests": [], "strictPrecision": false, "precision": "2", "notationStyles": ["plain", "en", "si-en"], "showPrecisionHint": true, "minValue": "{ans34}", "customMarkingAlgorithm": "", "precisionMessage": "You have not given your answer to the correct precision.", "precisionPartialCredit": 0, "showFeedbackIcon": true, "scripts": {}, "mustBeReducedPC": 0, "showCorrectAnswer": true, "mustBeReduced": false, "correctAnswerStyle": "plain", "maxValue": "{ans34}", "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "precisionType": "dp", "correctAnswerFraction": false, "marks": 1, "allowFractions": false, "variableReplacementStrategy": "originalfirst"}], "showFeedbackIcon": true, "unitTests": [], "scripts": {}, "type": "gapfill", "customMarkingAlgorithm": "", "prompt": "<p>Paint is made up of colours $\\var{coloura}$ and $\\var{colourb}$ in the ratio $\\var{ratio31}:\\var{ratio32}$.</p>\n<p>i) How many litres of each colour is in a $\\var{vol3}$ litre can of this paint?</p>\n<p>$\\var{coloura}:$ [[0]]&nbsp;</p>\n<p>$\\var{colourb}:$[[1]]&nbsp;</p>\n<p>ii) How many litres of $\\var{coloura}$ would have to be added to $\\var{vol1}$ litres of $\\var{colourb}$ to make the paint?</p>\n<p>$\\var{coloura}:$[[2]]&nbsp;</p>\n<p>iii) How many litres of $\\var{colourb}$ would have to be added to $\\var{vol2}$ litres of $\\var{coloura}$ to make the paint?</p>\n<p><em>$\\var{colourb}:$[[3]]&nbsp;</em></p>", "marks": 0, "sortAnswers": false, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst"}], "rulesets": {}, "preamble": {"css": "", "js": ""}, "statement": "<p>Solve the following ratio questions:</p>", "functions": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "extensions": [], "advice": "<p><strong>(a)</strong></p>\n<p>&nbsp;$\\frac{\\var{weight}}{\\var{ratio3}} \\times ({\\var{ratio1}+\\var{ratio2}+\\var{ratio3}}) = \\var{ans1}$&nbsp;&nbsp;&nbsp;&nbsp;</p>\n<p><strong>(b)</strong></p>\n<p>Tia Maria:</p>\n<p>$\\frac{\\var{totd}}{\\var{ratiod[0]}} \\times&nbsp;\\var{ratiod[1]} = \\var{ansd1}$</p>\n<p>Milk:</p>\n<p>$\\frac{\\var{totd}}{\\var{ratiod[0]}} \\times&nbsp;\\var{ratiodd} = \\var{ansd2}$</p>\n<p>Total volume $=&nbsp;\\var{totd} + \\var{ansd1} + \\var{ansd2}=\\var{totd+ansd1+ansd2}$</p>\n<p>Since&nbsp;$\\frac{\\var{totd+ansd1+ansd2}}{\\var{gla}} =\\var{(totd+ansd1+ansd2)/gla}$ then the number of FULL glasses is&nbsp;$\\var{ansd3}$&nbsp;</p>\n<p><strong>(c)</strong></p>\n<p>$\\frac{\\var{vol3}}{(\\var{ratio31}+\\var{ratio32})} = &nbsp;\\var{precround(ratioa,4)}$</p>\n<p>(i) $\\var{ratio31} \\times&nbsp;\\var{precround(ratioa,4)} = &nbsp;\\var{precround(ans31,2)}$</p>\n<p>&nbsp;$\\var{ratio32} \\times&nbsp;\\var{precround(ratioa,4)} = \\var{precround(ans32,2)}$</p>\n<p>(ii) $\\frac{\\var{vol1}}{\\var{ratio32}} \\times&nbsp;\\var{ratio31} = \\var{precround(ans33,2)}$</p>\n<p>(iii) $\\frac{\\var{vol2}}{\\var{ratio31}} \\times&nbsp;\\var{ratio32} = \\var{precround(ans34,2)}$</p>\n<p><em></em></p>", "type": "question", "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}, {"name": "Simon Thomas", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3148/"}]}]}], "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}, {"name": "Simon Thomas", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3148/"}]}