// Numbas version: exam_results_page_options
{"name": "Simon's copy of 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": [{"advice": "<p>Remember to give all answers to the nearest penny as requested.</p>\n<p></p>\n<p>First calculate $\\var{num}$% of the estimate $\\var{est}$</p>\n<p>$\\frac{\\var{num}}{100} \\times \\var{est} = &pound;\\var{dpformat(per,2)}$</p>\n<p><strong>(a)</strong></p>\n<p>Cheapest possible cost</p>\n<p>$&pound;\\var{est} - &pound;\\var{dpformat(per,2)} = &pound;\\var{dpformat(ans1,2)}$</p>\n<p><strong>(b)</strong></p>\n<p>Dearest possible cost</p>\n<p>$&pound;\\var{est}&nbsp;+ &pound;\\var{dpformat(per,2)} = &pound;\\var{dpformat(ans2,2)}$</p>", "parts": [{"marks": 0, "gaps": [{"marks": 1, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "type": "numberentry", "maxValue": "{ans1}", "precision": "2", "allowFractions": false, "showCorrectAnswer": true, "unitTests": [], "mustBeReducedPC": 0, "showPrecisionHint": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "precisionType": "dp", "correctAnswerStyle": "plain", "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "showFeedbackIcon": true, "minValue": "{ans1}", "correctAnswerFraction": false, "scripts": {}, "mustBeReduced": false, "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0}, {"marks": 1, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "type": "numberentry", "maxValue": "{ans2}", "precision": "2", "allowFractions": false, "showCorrectAnswer": true, "unitTests": [], "mustBeReducedPC": 0, "showPrecisionHint": false, "variableReplacements": [], "notationStyles": ["plain", "en", "si-en"], "precisionType": "dp", "correctAnswerStyle": "plain", "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "showFeedbackIcon": true, "minValue": "{ans2}", "correctAnswerFraction": false, "scripts": {}, "mustBeReduced": false, "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0}], "stepsPenalty": 0, "type": "gapfill", "steps": [{"marks": 0, "prompt": "<p>The actual cost must be in the range $\\var{est} \\pm \\var{num}$%. So first we must work out $\\var{num}\\% $ of $\\var{est}$.&nbsp;</p>", "showCorrectAnswer": true, "showFeedbackIcon": true, "customMarkingAlgorithm": "", "scripts": {}, "type": "information", "unitTests": [], "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": []}], "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "prompt": "<p>Calculate the cheapest and most expensive possible costs, if an estimate of $&pound;\\var{est}$ is given for a particular repair.</p>\n<p>Cheapest:&nbsp; &nbsp;&nbsp;&pound;[[0]]</p>\n<p>Most expensive:&nbsp; &nbsp; &nbsp;&nbsp;&pound;[[1]]</p>", "showCorrectAnswer": true, "showFeedbackIcon": true, "customMarkingAlgorithm": "", "scripts": {}, "sortAnswers": false, "unitTests": [], "variableReplacementStrategy": "originalfirst"}], "tags": [], "name": "Simon's copy of Q6 (Calculate the minimum and maximum approximations of an estimate)", "extensions": [], "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "ungrouped_variables": ["est", "shop", "ans1", "num", "per", "ans2"], "preamble": {"js": "", "css": ""}, "functions": {}, "rulesets": {}, "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"}, "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>Give your final answer correct to&nbsp;the nearest penny.</em></p>\n<p><strong>&nbsp;</strong></p>", "variables": {"ans2": {"definition": "est+per", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "description": ""}, "ans1": {"definition": "est-per", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "est": {"definition": "random(300..500#10)", "templateType": "anything", "group": "Ungrouped variables", "name": "est", "description": ""}, "num": {"definition": "random(3..8)", "templateType": "anything", "group": "Ungrouped variables", "name": "num", "description": ""}, "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": ""}, "per": {"definition": "(est*num)/100", "templateType": "anything", "group": "Ungrouped variables", "name": "per", "description": ""}}, "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/"}]}