// Numbas version: exam_results_page_options
{"showstudentname": true, "timing": {"timedwarning": {"message": "", "action": "none"}, "allowPause": true, "timeout": {"message": "", "action": "none"}}, "feedback": {"allowrevealanswer": true, "showanswerstate": true, "intro": "", "showtotalmark": true, "feedbackmessages": [], "showactualmark": true, "advicethreshold": 0}, "duration": 0, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questions": [{"name": "BODMAS: Percentages", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Hayley Moore", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/495/"}], "functions": {}, "ungrouped_variables": ["a", "b", "mint", "chocolate", "sweets", "num", "den", "n", "d", "per", "marks", "increase", "new_mark", "decimal", "gcd_per100", "numerator", "denominator", "marks_increased", "p", "dec"], "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<p><strong>Questions of the form \"find $\\var{a}\\%$ of $\\var{b}$\".&nbsp;</strong></p>\n<p>In order to answer this you multiply the number, $\\var{b}$, by the percentage over 100, $\\dfrac{\\var{a}}{100}$</p>\n<p>$\\var{b} \\times \\dfrac{\\var{a}}{100} = \\simplify{{a}*{b}/100}$</p>\n<p><strong>Remember:</strong>&nbsp;Give you answer to 2 decimal places.</p>\n<p></p>\n<p></p>\n<p><strong>Questions of the form \"if a mixed bag of $\\var{sweets}$ sweets contains $\\var{mint}$ mints and $\\var{chocolate}$ chocolates. What percentage of the contents&nbsp;is chocolate\"</strong></p>\n<p>To calculate the percentage of chocolate sweets in the bag you must divide the number of chocolates by the total number of sweets and then multiply by $100%$.</p>\n<p>$\\dfrac{\\var{chocolate}}{\\var{sweets}}\\times 100 = \\simplify{100*{chocolate}/{sweets}}.</p>\n<p><strong>Remember:</strong>&nbsp;Give you answer to 2 decimal places.</p>\n<p></p>\n<p></p>\n<p><strong>Questions of the form \"convert $\\dfrac{\\var{num}}{\\var{den}}$ into a percentage\"</strong></p>\n<p>This question is very similar to part b). We already have the number in fractional form if we covert this into a decimal and multiply by $100\\%$ we obtain the percentage</p>\n<p>$\\dfrac{\\var{num}}{\\var{den}} = \\var{deciamal}\\times 100\\% = \\simplify{{decimal}*100}\\%$</p>\n<p><strong>Remember:</strong> Give you answer to 2 decimal places.</p>\n<p></p>\n<p></p>\n<p><strong>Questions of the form \"convert $\\var{per}\\%$ into a fraction\"</strong></p>\n<p>To do this you simply divide by $100$.</p>\n<p>$\\var{per}\\% = \\dfrac{\\var{per}}{100} = \\dfrac{\\var{numerator}}{\\var{denominator}}$&nbsp;</p>\n<p></p>\n<p></p>\n<p><strong>Questions of the form \"Last year the average mark in an exam was $\\var{marks}$. They have now increased by $\\var{increase}$ percent. What is the current average mark?\"</strong></p>\n<p>We start by finding $\\var{increase}$ % of $\\var{marks}$.</p>\n<p>$\\var{marks}\\times\\dfrac{\\var{increase}}{100} = \\var{marks_increased}$</p>\n<p>We then add this onto last years average marks to find this years</p>\n<p>$\\var{marks} + \\var{marks_increased} = \\var{new_mark}$</p>", "rulesets": {}, "parts": [{"prompt": "<p>Find $\\var{a}\\%$ of $\\var{b}$</p>\n<p>Answer: &nbsp; [[0]] &nbsp;(2.d.p)</p>", "marks": 0, "gaps": [{"precisionType": "dp", "precisionMessage": "<p>You have not given your answer to the correct number of decimal places.</p>", "allowFractions": false, "marks": 1, "precision": "2", "maxValue": "(a/100)*b", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": "50", "scripts": {}, "minValue": "(a/100)*b", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "type": "gapfill"}, {"prompt": "<p>If a mixed bag of $\\var{sweets}$ sweets contains $\\var{mint}$ mints and $\\var{chocolate}$ chocolates. What percentage of the contents&nbsp;is chocolate?</p>\n<p></p>\n<p>Answer: &nbsp;[[0]] %(2.dp)</p>", "marks": 0, "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "marks": 1, "precision": "2", "maxValue": "(chocolate/sweets)*100", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": "50", "scripts": {}, "minValue": "(chocolate/sweets)*100", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "type": "gapfill"}, {"prompt": "<p>Convert $\\dfrac{\\var{num}}{\\var{den}}$ into a percentage.</p>\n<p>Answer: [[0]] % (2dp)</p>", "marks": 0, "gaps": [{"precisionType": "dp", "precisionMessage": "<p>You have not given your answer to the correct number of decimal places.</p>", "allowFractions": false, "marks": 1, "precision": "2", "maxValue": "(num/den)*100", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": "50", "scripts": {}, "minValue": "(num/den)*100", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "type": "gapfill"}, {"prompt": "<p>Convert $\\var{per}\\%$ into a fraction. Fraction must be in it's simplest form.</p>\n<p>Answer: [[0]]&nbsp;/[[1]]</p>", "marks": 0, "gaps": [{"allowFractions": false, "marks": 1, "maxValue": "numerator", "minValue": "numerator", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "marks": 1, "maxValue": "denominator", "minValue": "denominator", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "type": "gapfill"}, {"prompt": "<p>Last year the average mark in an exam was $\\var{marks}$. They have now increased by $\\var{increase}$ percent. What is the current average mark?</p>\n<p>Answer: [[0]]</p>", "marks": 0, "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "marks": 1, "precision": "2", "maxValue": "new_mark", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": "50", "scripts": {}, "minValue": "new_mark", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "type": "gapfill"}, {"prompt": "<p>Write $\\var{p}$ as a decimal?</p>\n<p>Answer: &nbsp;[[0]] (2 d.p.)</p>", "marks": 0, "gaps": [{"precisionType": "dp", "precisionMessage": "<p>You have not given your answer to the correct precision. Please give your answer to 2 decimal places.</p>", "allowFractions": false, "marks": 1, "precision": "2", "maxValue": "dec", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": "50", "scripts": {}, "minValue": "dec", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "type": "gapfill"}], "statement": "<p>Answer the following questions on percentages.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "random(1..20)*5", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "b": {"definition": "random(1..30)*10", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}, "d": {"definition": "random(n+1..20)", "templateType": "anything", "group": "Ungrouped variables", "name": "d", "description": ""}, "p": {"definition": "random(1..99)", "templateType": "anything", "group": "Ungrouped variables", "name": "p", "description": ""}, "marks_increased": {"definition": "marks*increase/100", "templateType": "anything", "group": "Ungrouped variables", "name": "marks_increased", "description": ""}, "new_mark": {"definition": "marks*(1+(increase/100))", "templateType": "anything", "group": "Ungrouped variables", "name": "new_mark", "description": ""}, "denominator": {"definition": "100/gcd_per100", "templateType": "anything", "group": "Ungrouped variables", "name": "denominator", "description": ""}, "numerator": {"definition": "per/gcd_per100", "templateType": "anything", "group": "Ungrouped variables", "name": "numerator", "description": ""}, "per": {"definition": "precround(100*n/d,0)", "templateType": "anything", "group": "Ungrouped variables", "name": "per", "description": ""}, "chocolate": {"definition": "sweets - mint", "templateType": "anything", "group": "Ungrouped variables", "name": "chocolate", "description": ""}, "increase": {"definition": "random(1..40)", "templateType": "anything", "group": "Ungrouped variables", "name": "increase", "description": ""}, "sweets": {"definition": "random(1..4)*10", "templateType": "anything", "group": "Ungrouped variables", "name": "sweets", "description": ""}, "num": {"definition": "random(1..90)", "templateType": "anything", "group": "Ungrouped variables", "name": "num", "description": ""}, "gcd_per100": {"definition": "gcd(per,100)", "templateType": "anything", "group": "Ungrouped variables", "name": "gcd_per100", "description": ""}, "den": {"definition": "random(num..99 except num)", "templateType": "anything", "group": "Ungrouped variables", "name": "den", "description": ""}, "marks": {"definition": "random(40..100)", "templateType": "anything", "group": "Ungrouped variables", "name": "marks", "description": ""}, "n": {"definition": "random(1..18)", "templateType": "anything", "group": "Ungrouped variables", "name": "n", "description": ""}, "dec": {"definition": "p/100", "templateType": "anything", "group": "Ungrouped variables", "name": "dec", "description": ""}, "mint": {"definition": "random(1..sweets)", "templateType": "anything", "group": "Ungrouped variables", "name": "mint", "description": ""}, "decimal": {"definition": "num/den", "templateType": "anything", "group": "Ungrouped variables", "name": "decimal", "description": ""}}, "metadata": {"notes": "", "description": "", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}, {"name": "BODMAS: Ratio", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Hayley Moore", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/495/"}], "functions": {}, "ungrouped_variables": ["a", "aa", "c", "b", "d", "g", "f", "cc", "money", "bb", "m1", "m2", "side", "fac", "fic", "R", "fact", "fiction"], "tags": [], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "parts": [{"prompt": "<p>To make bolognese {c} grams of minced beef feeds {a} people. How much minced beef is required for {b} people?</p>\n<p>Minced meat $=$ [[0]] grams.&nbsp;</p>", "marks": 0, "gaps": [{"allowFractions": false, "marks": 1, "maxValue": "{b}*{c}/{a}", "minValue": "{b}*{c}/{a}", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "type": "gapfill"}, {"prompt": "<p>The sides of a triangle are in the ratio {d}:{g}:{f}. If the smallest side has length {side} cm what is&nbsp;&nbsp;length of the longest side?</p>\n<p>Largest side:&nbsp;[[0]] &nbsp;cm</p>", "marks": 0, "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "marks": 1, "precision": "2", "maxValue": "{{side}/{d}}*{f}", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "minValue": "{{side}/{d}}*{f}", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "type": "gapfill"}, {"prompt": "<p>Sarah&nbsp;and Dave&nbsp;are to share {money} toy dinosaurs between them in the ratio of {m2}:{m1}.</p>\n<p>Sarah&nbsp;gets [[0]] dinosaurs.</p>\n<p>Dave&nbsp;gets [[1]] dinosaurs.&nbsp;</p>", "marks": 0, "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "marks": 1, "precision": "2", "maxValue": "{money} * {m2}/({m1}+{m2})", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "minValue": "{money} * {m2}/({m1}+{m2})", "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "marks": 1, "precision": "2", "maxValue": "{money} * {m1}/({m1}+{m2})", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "minValue": "{money} * {m1}/({m1}+{m2})", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "type": "gapfill"}, {"prompt": "<p>Hetty&nbsp;and Georgina&nbsp;win a sum of money, which they agree to share in the ratio {aa}:{bb}</p>\n<p><span style=\"font-family: verdana, helvetica, arial, sans-serif; font-size: 13px; line-height: 18px;\"></span></p>\n<p>If Heather receives &pound;{cc}, how much will Georgina&nbsp;receive?&nbsp;</p>\n<p>Graham receives &pound;[[0]].&nbsp;</p>", "marks": 0, "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "marks": 1, "precision": "2", "maxValue": "{bb}*{cc}/{aa}", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "minValue": "{bb}*{cc}/{aa}", "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "type": "gapfill"}, {"prompt": "<p>A book shop sell {fiction} different fiction books and {fact} different fact books.</p>\n<p>What is the ratio fact:fiction?</p>\n<p>Answer: [[0]] : [[1]]</p>", "marks": 0, "gaps": [{"allowFractions": false, "marks": 1, "maxValue": "fac", "minValue": "fac", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "type": "numberentry", "showPrecisionHint": false}, {"allowFractions": false, "marks": 1, "maxValue": "fic", "minValue": "fic", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "type": "gapfill"}], "statement": "<p>Solve the following ratio questions.&nbsp;</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "random(2..5#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "a", "description": ""}, "aa": {"definition": "random(1..5#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "aa", "description": ""}, "c": {"definition": "random(100..1000#50)", "templateType": "randrange", "group": "Ungrouped variables", "name": "c", "description": ""}, "b": {"definition": "random(6..20#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "b", "description": ""}, "d": {"definition": "random(1..g)", "templateType": "anything", "group": "Ungrouped variables", "name": "d", "description": ""}, "g": {"definition": "random(1..5#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "g", "description": ""}, "f": {"definition": "random(5..12#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "f", "description": ""}, "cc": {"definition": "random(10..100)*(aa+bb)*5", "templateType": "anything", "group": "Ungrouped variables", "name": "cc", "description": ""}, "money": {"definition": "random(10..100)*(m1+m2)", "templateType": "anything", "group": "Ungrouped variables", "name": "money", "description": ""}, "fiction": {"definition": "fic*R", "templateType": "anything", "group": "Ungrouped variables", "name": "fiction", "description": ""}, "bb": {"definition": "random(6..10#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "bb", "description": ""}, "fic": {"definition": "random(1..5 except fac)", "templateType": "anything", "group": "Ungrouped variables", "name": "fic", "description": ""}, "R": {"definition": "random(500..1500)", "templateType": "anything", "group": "Ungrouped variables", "name": "R", "description": ""}, "m1": {"definition": "random(1..5#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "m1", "description": ""}, "m2": {"definition": "random(6..10#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "m2", "description": ""}, "fac": {"definition": "random(1..5)", "templateType": "anything", "group": "Ungrouped variables", "name": "fac", "description": ""}, "side": {"definition": "random(2..5)*d", "templateType": "anything", "group": "Ungrouped variables", "name": "side", "description": ""}, "fact": {"definition": "fac*R", "templateType": "anything", "group": "Ungrouped variables", "name": "fact", "description": ""}}, "metadata": {"notes": "", "description": "", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}]}], "percentPass": 0, "name": "Percentages and Ratios (Animal Science)", "metadata": {"licence": "None specified", "description": "<p>Practising calculations with percentages and ratios.</p>"}, "showQuestionGroupNames": false, "navigation": {"showresultspage": "oncompletion", "browse": true, "showfrontpage": false, "allowregen": true, "onleave": {"message": "", "action": "none"}, "reverse": true, "preventleave": true}, "type": "exam", "contributors": [{"name": "Stephanie Greaves", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/340/"}], "extensions": [], "custom_part_types": [], "resources": []}