// Numbas version: exam_results_page_options
{"name": "Q6 (Calculate the minimum and maximum approximations of an estimate)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["est", "shop", "ans1", "num", "per", "ans2"], "name": "Q6 (Calculate the minimum and maximum approximations of an estimate)", "tags": ["rebelmaths"], "preamble": {"css": "", "js": ""}, "advice": "<p>First calculate $\\var{num}$% of the estimate $\\var{est}$</p>\n<p>$\\frac{\\var{num}}{100} \\times \\var{est} = &euro;\\var{per}$</p>\n<p>Part 1:</p>\n<p>Cheapest possible cost</p>\n<p>$&euro;\\var{est} - &euro;\\var{per} = &euro;\\var{ans1}$</p>\n<p>Part 2:</p>\n<p>Dearest possible cost</p>\n<p>$&euro;\\var{est}&nbsp;+ &euro;\\var{per} = &euro;\\var{ans2}$</p>", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p>Calculate the cheapest and dearest possible costs, if an estimate of $&euro;\\var{est}$ is given for a particular repair.</p>\n<p>Cheapest:&nbsp;&nbsp;&nbsp; &euro;[[0]]</p>\n<p>Dearest:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &euro;[[1]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Find the percentage of the estimate. The actual cost must be in the range $\\var{est}$ +/-&nbsp;$\\var{num}$%.</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "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": "2", "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}, {"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{ans2}", "strictPrecision": true, "minValue": "{ans2}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "2", "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>$\\var{shop}$&nbsp;guarantees that the actual cost of repairs will not be more than $\\var{num}$% different from any estimate.</p>\n<p><em>Calculate correct to two decimal place.</em></p>\n<p><strong>&nbsp;</strong></p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"shop": {"definition": "random('A garage','A PC repair shop','A Phone-shop',' An eletronics-shop','An engineering shop')", "templateType": "anything", "group": "Ungrouped variables", "name": "shop", "description": ""}, "est": {"definition": "random(300..500#10)", "templateType": "anything", "group": "Ungrouped variables", "name": "est", "description": ""}, "ans1": {"definition": "est-per", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "ans2": {"definition": "est+per", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "description": ""}, "per": {"definition": "(est*num)/100", "templateType": "anything", "group": "Ungrouped variables", "name": "per", "description": ""}, "num": {"definition": "random(3..8)", "templateType": "anything", "group": "Ungrouped variables", "name": "num", "description": ""}}, "metadata": {"description": "<p><strong></strong>(Calculate the minimum and maximum approximations of an estimate)</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/"}]}