// Numbas version: exam_results_page_options
{"name": "Q5 percentage error", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["num", "ans2", "ans1", "ans3"], "name": "Q5 percentage error", "tags": ["rebelmaths"], "preamble": {"css": "", "js": ""}, "advice": "<p>Part 1:</p>\n<p>Exact relationship formula:</p>\n<p>$((\\frac{9}{5}) \\times \\var{num}) + 32 = \\var{ans1}$degrees</p>\n<p>Part 2:</p>\n<p>Approximate relationship formula::</p>\n<p>$(\\var{num} + 15) \\times 2= \\var{ans2}$degrees</p>\n<p>Part 3:</p>\n<p>Percentage error:</p>\n<p>$abs(\\frac{\\var{ans2} - \\var{ans1}}{\\var{ans1}}) \\times 100 = \\var{ans3}$%</p>\n<p></p>", "rulesets": {}, "parts": [{"prompt": "<p>Find the value of F when C is $\\var{num}$ degrees using the exact relationship formula.</p>\n<p>[[0]]degrees</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans1}", "strictPrecision": false, "minValue": "{ans1}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "1", "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>Find the value of F when C is $\\var{num}$ degrees using the approximate relationship formula.</p>\n<p>[[0]]degrees</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans2}", "strictPrecision": false, "minValue": "{ans2}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "1", "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>Calculate the percentage error in using the approximate relationship formula, correct to one decimal place.</p>\n<p>[[0]]%</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans3}", "strictPrecision": false, "minValue": "{ans3}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "1", "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>The exact relationship between Celsius and Fahrenheit is: <strong>$F = \\frac{9}{5}C + 32$</strong>. An approximate relationship between&nbsp;Celsius and Fahrenheit&nbsp;is given by the follow rule:</p>\n<p><strong>To find F, add 15 to C and double your answer.</strong></p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"ans1": {"definition": "(num*(9/5))+32", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "ans2": {"definition": "(num+15)*2", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "description": ""}, "num": {"definition": "random(10..35#5)", "templateType": "anything", "group": "Ungrouped variables", "name": "num", "description": ""}, "ans3": {"definition": "(abs(ans2 - ans1)/ ans1)*100", "templateType": "anything", "group": "Ungrouped variables", "name": "ans3", "description": ""}}, "metadata": {"description": "<p>(Calculating estimate and actual value of temperature using given formulas, and hence finding the percentage error)</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}]}]}], "contributors": [{"name": "TEAME CIT", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/591/"}]}