// Numbas version: exam_results_page_options
{"name": "Q1 (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": ["material", "est", "lent", "ans1", "name1", "est1", "est2", "cost", "ans2", "att", "ans3", "game", "item"], "name": "Q1 (Percentage Error)", "tags": ["rebelmaths"], "advice": "<p>Part 1:</p>\n<p>Percentage error:</p>\n<p>$abs(\\frac{\\var{est} - \\var{lent}}{\\var{lent}}) \\times 100 = \\var{ans1}$%</p>\n<p>Part 2:</p>\n<p>Percentage error:</p>\n<p>$abs(\\frac{\\var{est1} - \\var{cost}}{\\var{cost}}) \\times 100 = \\var{ans2}$%</p>\n<p>Part 3:</p>\n<p>Percentage error:</p>\n<p>$abs(\\frac{\\var{est2} - \\var{att}}{\\var{att}}) \\times 100 = \\var{ans3}$%</p>\n<p></p>", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p>The length of a $\\var{material}$ bar&nbsp;was estimated to be $\\var{est}$ cm. If the true length was $\\var{lent}$ cm, calculate the percentage error.</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": [], "precision": "1", "maxValue": "{ans1}", "minValue": "{ans1}", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "steps": [{"prompt": "<p>First find out how wrong the guess was (the error). This is the difference between the guess and the true value. We always use the positive number.</p>\n<p>Find what percentage this is of the true value.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "marks": 0, "scripts": {}, "showCorrectAnswer": true, "type": "gapfill"}, {"prompt": "<p>The&nbsp;estimate to repair&nbsp;a&nbsp;$\\var{item}$ was $&euro;\\var{est1}$. If the final cost was $&euro;\\var{cost}$, calculate the percentage error.</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": [], "precision": "1", "maxValue": "{ans2}", "minValue": "{ans2}", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>The&nbsp;attendance&nbsp;at a&nbsp;$\\var{game}$ match was estimated to be $&euro;\\var{est2}$ people. If the actual attendance was $&euro;\\var{att}$, calculate the percentage error.</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": [], "precision": "1", "maxValue": "{ans3}", "minValue": "{ans3}", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>&nbsp;<em>Calculate the following&nbsp;correct to one decimal place:</em></p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"material": {"definition": "random('copper','brass','metal','steel')", "templateType": "anything", "group": "Ungrouped variables", "name": "material", "description": ""}, "lent": {"definition": "random((est-8)..(est+8) except[est,(est-1),est-2,est-3,(est+1),(est+2),(est+3)])", "templateType": "anything", "group": "Ungrouped variables", "name": "lent", "description": ""}, "ans1": {"definition": "(abs(est-lent)/lent)*100", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "ans2": {"definition": "(abs(est1 - cost)/ cost)*100", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "description": ""}, "ans3": {"definition": "(abs(est2 - att)/ att)*100", "templateType": "anything", "group": "Ungrouped variables", "name": "ans3", "description": ""}, "att": {"definition": "random(est2-500..est2+1000#20 except[est2,est2-20,est2-40,est2-60,est2-80,est2+20,est2+40,est2+60,est2+80,est2+100,est2-100])", "templateType": "anything", "group": "Ungrouped variables", "name": "att", "description": ""}, "item": {"definition": "random('car','motorbike','computer','van')", "templateType": "anything", "group": "Ungrouped variables", "name": "item", "description": ""}, "game": {"definition": "random('tennis','football','soccer','hurling')", "templateType": "anything", "group": "Ungrouped variables", "name": "game", "description": ""}, "cost": {"definition": "random(est1-50..est1+50#10 except[est1,est1-10,est1+10])", "templateType": "anything", "group": "Ungrouped variables", "name": "cost", "description": ""}, "est": {"definition": "random(30..70#10)", "templateType": "anything", "group": "Ungrouped variables", "name": "est", "description": ""}, "est2": {"definition": "random(5000..10000#500)", "templateType": "anything", "group": "Ungrouped variables", "name": "est2", "description": ""}, "name1": {"definition": "random('Susan','Rose','Lisa','Karen','Kate','Vicky')", "templateType": "anything", "group": "Ungrouped variables", "name": "name1", "description": ""}, "est1": {"definition": "random(500..700#50)", "templateType": "anything", "group": "Ungrouped variables", "name": "est1", "description": ""}}, "metadata": {"description": "<p>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/"}]}