// Numbas version: finer_feedback_settings
{"name": "Simon's copy of Q 0.5 Percentages", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"statement": "<p>Solve the following correct to 1 decimal place:</p>", "advice": "<p>The video link below gives some examples of solving percentages:</p>\n<p><a href=\"https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/taking-a-percentage-example\" target=\"_blank\" rel=\"noopener noreferrer\">Example of how to calculate percentages</a></p>\n<p><strong>(i)</strong></p>\n<p>$ \\frac{\\var{per1[0]}}{100} \\times \\var{num1[0]} = \\var{ans1}$</p>\n<p><strong>(ii)</strong></p>\n<p>$ \\frac{\\var{per2[0]}}{100} \\times&nbsp;\\var{num2} = \\var{ans2}$</p>\n<p><strong>(iii)</strong></p>\n<p>1% is $\\var{num3} \\div&nbsp;\\var{per4} = \\var{num3/per4}$</p>\n<p>Therefore $\\var{per3[0]}\\% $ is $ \\var{num3/per4} \\times&nbsp;&nbsp;\\var{per3[0]} = \\var{ans3}$</p>\n<p><strong>(iv)</strong></p>\n<p>$\\frac{\\var{num1[1]}}{\\var{per3[1]}}\\times 100 =\\var{ans4}$</p>\n<p><strong>(v)</strong></p>\n<p>$\\frac{\\var{num5}}{\\var{per1[1]}}\\times 100 = \\var{ans5}$</p>", "functions": {}, "extensions": [], "parts": [{"showCorrectAnswer": true, "marks": 0, "gaps": [{"precision": "1", "strictPrecision": false, "minValue": "{ans1}", "allowFractions": false, "type": "numberentry", "scripts": {}, "mustBeReduced": false, "showFeedbackIcon": true, "precisionType": "dp", "extendBaseMarkingAlgorithm": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReducedPC": 0, "showPrecisionHint": false, "showCorrectAnswer": true, "marks": 1, "correctAnswerStyle": "plain", "unitTests": [], "precisionPartialCredit": 0, "customMarkingAlgorithm": "", "maxValue": "{ans1}", "variableReplacementStrategy": "originalfirst", "precisionMessage": "You have not given your answer to the correct precision.", "variableReplacements": [], "correctAnswerFraction": false}, {"precision": "1", "strictPrecision": false, "minValue": "{ans2}", "allowFractions": false, "type": "numberentry", "scripts": {}, "mustBeReduced": false, "showFeedbackIcon": true, "precisionType": "dp", "extendBaseMarkingAlgorithm": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReducedPC": 0, "showPrecisionHint": false, "showCorrectAnswer": true, "marks": 1, "correctAnswerStyle": "plain", "unitTests": [], "precisionPartialCredit": 0, "customMarkingAlgorithm": "", "maxValue": "{ans2}", "variableReplacementStrategy": "originalfirst", "precisionMessage": "You have not given your answer to the correct precision.", "variableReplacements": [], "correctAnswerFraction": false}, {"precision": "1", "strictPrecision": false, "minValue": "{ans3}", "allowFractions": false, "type": "numberentry", "scripts": {}, "mustBeReduced": false, "showFeedbackIcon": true, "precisionType": "dp", "extendBaseMarkingAlgorithm": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReducedPC": 0, "showPrecisionHint": false, "showCorrectAnswer": true, "marks": 1, "correctAnswerStyle": "plain", "unitTests": [], "precisionPartialCredit": 0, "customMarkingAlgorithm": "", "maxValue": "{ans3}", "variableReplacementStrategy": "originalfirst", "precisionMessage": "You have not given your answer to the correct precision.", "variableReplacements": [], "correctAnswerFraction": false}, {"precision": "1", "strictPrecision": false, "minValue": "{ans4}", "allowFractions": false, "type": "numberentry", "scripts": {}, "mustBeReduced": false, "showFeedbackIcon": true, "precisionType": "dp", "extendBaseMarkingAlgorithm": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReducedPC": 0, "showPrecisionHint": false, "showCorrectAnswer": true, "marks": 1, "correctAnswerStyle": "plain", "unitTests": [], "precisionPartialCredit": 0, "customMarkingAlgorithm": "", "maxValue": "{ans4}", "variableReplacementStrategy": "originalfirst", "precisionMessage": "You have not given your answer to the correct precision.", "variableReplacements": [], "correctAnswerFraction": false}, {"precision": "1", "strictPrecision": false, "minValue": "{ans5}", "allowFractions": false, "type": "numberentry", "scripts": {}, "mustBeReduced": false, "showFeedbackIcon": true, "precisionType": "dp", "extendBaseMarkingAlgorithm": true, "notationStyles": ["plain", "en", "si-en"], "mustBeReducedPC": 0, "showPrecisionHint": false, "showCorrectAnswer": true, "marks": 1, "correctAnswerStyle": "plain", "unitTests": [], "precisionPartialCredit": 0, "customMarkingAlgorithm": "", "maxValue": "{ans5}", "variableReplacementStrategy": "originalfirst", "precisionMessage": "You have not given your answer to the correct precision.", "variableReplacements": [], "correctAnswerFraction": false}], "unitTests": [], "variableReplacements": [], "customMarkingAlgorithm": "", "sortAnswers": false, "prompt": "<p>i) Find $\\var{per1[0]}$% of $\\var{num1[0]}$</p>\n<p>[[0]]</p>\n<p>ii) Find $\\var{per2[0]}$% of $\\var{num2}$</p>\n<p>[[1]]</p>\n<p>iii) $\\var{per4}$% of a number is $\\var{num3}$. What is&nbsp;$\\var{per3[0]}$% of the number?</p>\n<p>[[2]]</p>\n<p>iv) $\\var{per3[1]}$% of a number is $\\var{num1[1]}$. What is the number?</p>\n<p>[[3]]</p>\n<p>v) $\\var{per1[1]}$% of a number is $\\var{num5}$. What is the number?</p>\n<p>[[4]]</p>", "variableReplacementStrategy": "originalfirst", "type": "gapfill", "scripts": {}, "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true}], "tags": [], "variable_groups": [], "preamble": {"js": "", "css": ""}, "name": "Simon's copy of Q 0.5 Percentages", "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Introduction to percentage</p>\n<p>rebel</p>\n<p>rebelmaths</p>"}, "variablesTest": {"condition": "", "maxRuns": 100}, "variables": {"num5": {"templateType": "anything", "description": "", "definition": "random(8..14)*per1[1]", "group": "Ungrouped variables", "name": "num5"}, "per3": {"templateType": "anything", "description": "", "definition": "shuffle(4..5)[0..2]", "group": "Ungrouped variables", "name": "per3"}, "per4": {"templateType": "anything", "description": "", "definition": "random(15..35#5)", "group": "Ungrouped variables", "name": "per4"}, "ans3": {"templateType": "anything", "description": "", "definition": "(num3/per4)*per3[0]", "group": "Ungrouped variables", "name": "ans3"}, "ans5": {"templateType": "anything", "description": "", "definition": "(num5/per1[1])*100", "group": "Ungrouped variables", "name": "ans5"}, "num1": {"templateType": "anything", "description": "", "definition": "shuffle(110..250#10)[0..2]", "group": "Ungrouped variables", "name": "num1"}, "per2": {"templateType": "anything", "description": "", "definition": "shuffle(12..35)[0..2]", "group": "Ungrouped variables", "name": "per2"}, "per1": {"templateType": "anything", "description": "", "definition": "shuffle(3..10)[0..2]", "group": "Ungrouped variables", "name": "per1"}, "num2": {"templateType": "anything", "description": "", "definition": "random(510..690#10)", "group": "Ungrouped variables", "name": "num2"}, "ans1": {"templateType": "anything", "description": "", "definition": "per1[0]*0.01*num1[0]", "group": "Ungrouped variables", "name": "ans1"}, "ans4": {"templateType": "anything", "description": "", "definition": "(num1[1]/per3[1])*100", "group": "Ungrouped variables", "name": "ans4"}, "num3": {"templateType": "anything", "description": "", "definition": "random(11..15#0.5)*per4", "group": "Ungrouped variables", "name": "num3"}, "ans2": {"templateType": "anything", "description": "", "definition": "per2[0]*0.01*num2", "group": "Ungrouped variables", "name": "ans2"}}, "rulesets": {}, "ungrouped_variables": ["num1", "per1", "ans1", "num2", "per2", "ans2", "num3", "ans3", "per3", "per4", "ans4", "ans5", "num5"], "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/"}]}