// Numbas version: exam_results_page_options
{"name": "Simon's copy of Q5 percentage error", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"rulesets": {}, "ungrouped_variables": ["num", "ans2", "ans1", "ans3"], "tags": [], "functions": {}, "advice": "<p><strong>(a)&nbsp;</strong></p>\n<p>Exact relationship formula:</p>\n<p>$((\\frac{9}{5}) \\times \\var{num}) + 32 = \\var{ans1}^o $F</p>\n<p></p>\n<p><strong>(b)&nbsp;</strong></p>\n<p>Approximate relationship formula:</p>\n<p>$(\\var{num} + 15) \\times 2= \\var{ans2}^o $F</p>\n<p></p>\n<p><strong>(c)&nbsp;</strong></p>\n<p>Percentage error:</p>\n<p>$\\frac{|\\var{ans2} - \\var{ans1}|}{\\var{ans1}} \\times 100 = \\var{precround(ans3,1)}$%</p>\n<p></p>", "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>", "sortAnswers": false, "showFeedbackIcon": true, "scripts": {}, "marks": 0, "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "type": "gapfill", "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "gaps": [{"showFeedbackIcon": true, "precision": "1", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "precisionType": "dp", "strictPrecision": false, "allowFractions": false, "correctAnswerFraction": false, "scripts": {}, "marks": 1, "notationStyles": ["plain", "en", "si-en"], "minValue": "{ans1}", "precisionMessage": "You have not given your answer to the correct precision.", "customMarkingAlgorithm": "", "type": "numberentry", "mustBeReduced": false, "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "showPrecisionHint": false, "unitTests": [], "maxValue": "{ans1}", "variableReplacements": []}], "unitTests": [], "variableReplacements": []}, {"prompt": "<p>Find the value of F when C is $\\var{num}$ degrees using the approximate relationship formula.</p>\n<p>[[0]]degrees</p>", "sortAnswers": false, "showFeedbackIcon": true, "scripts": {}, "marks": 0, "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "type": "gapfill", "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "gaps": [{"showFeedbackIcon": true, "precision": "1", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "precisionType": "dp", "strictPrecision": false, "allowFractions": false, "correctAnswerFraction": false, "scripts": {}, "marks": 1, "notationStyles": ["plain", "en", "si-en"], "minValue": "{ans2}", "precisionMessage": "You have not given your answer to the correct precision.", "customMarkingAlgorithm": "", "type": "numberentry", "mustBeReduced": false, "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "showPrecisionHint": false, "unitTests": [], "maxValue": "{ans2}", "variableReplacements": []}], "unitTests": [], "variableReplacements": []}, {"prompt": "<p>Calculate the percentage error in using the approximate relationship formula, correct to one decimal place.</p>\n<p>[[0]]%</p>", "sortAnswers": false, "showFeedbackIcon": true, "scripts": {}, "marks": 0, "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "type": "gapfill", "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "gaps": [{"showFeedbackIcon": true, "precision": "1", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "precisionType": "dp", "strictPrecision": false, "allowFractions": false, "correctAnswerFraction": false, "scripts": {}, "marks": 1, "notationStyles": ["plain", "en", "si-en"], "minValue": "{ans3}", "precisionMessage": "You have not given your answer to the correct precision.", "customMarkingAlgorithm": "", "type": "numberentry", "mustBeReduced": false, "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "showPrecisionHint": false, "unitTests": [], "maxValue": "{ans3}", "variableReplacements": []}], "unitTests": [], "variableReplacements": []}], "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"}, "variables": {"ans3": {"definition": "(abs(ans2 - ans1)/ ans1)*100", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "ans3"}, "ans2": {"definition": "(num+15)*2", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "ans2"}, "num": {"definition": "random(10..35#5)", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "num"}, "ans1": {"definition": "(num*(9/5))+32", "description": "", "group": "Ungrouped variables", "templateType": "anything", "name": "ans1"}}, "variable_groups": [], "name": "Simon's copy of Q5 percentage error", "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>", "variablesTest": {"condition": "", "maxRuns": 100}, "preamble": {"css": "", "js": ""}, "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/"}]}