// Numbas version: finer_feedback_settings
{"name": "Q11 & 12  (Percentage Error with multipling and rounding-off)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["num1", "num2", "res1", "res2", "name", "ans1", "game", "ans2"], "name": "Q11 & 12  (Percentage Error with multipling and rounding-off)", "tags": ["rebelmaths"], "advice": "<p>When rounding off a number the maximum value of the decimals&nbsp;can be before rounding up to the next number is \"0.499999999\", or approximately \"0.5\"</p>\n<p>For example, the maximum the following numbers could be are;</p>\n<p>$\\var{num1}m = \\var{res1}$m</p>\n<p>$\\var{num2}m = \\var{res2}$m</p>\n<p><em>Part 1:</em></p>\n<p>The maximum perimeter the court can be is:</p>\n<p>$(\\var{res1} \\times 2)&nbsp;+ (\\var{res2} \\times 2)&nbsp;= \\var{ans2}m$</p>\n<p><em>Part 2:</em></p>\n<p>The maximum area the court can be is:</p>\n<p>$\\var{res1}\\times \\var{res2} = \\var{ans1}m^2$</p>\n<p></p>", "rulesets": {}, "parts": [{"prompt": "<p>Calculate the maximum possible perimeter of the court.</p>\n<p><em>Round to 2 decimal places!!</em></p>\n<p>[[0]]m</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{ans2}", "minValue": "{ans2}", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>Calculate the maximum area in the court could be.</p>\n<p><em>Round to 2 decimal places!!</em></p>\n<p>[[0]]$m^2$</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "precision": "2", "maxValue": "{ans1}", "minValue": "{ans1}", "variableReplacementStrategy": "originalfirst", "strictPrecision": false, "correctAnswerFraction": false, "showCorrectAnswer": true, "precisionPartialCredit": 0, "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>$\\var{name}$ measured the length of a $\\var{game}$ court to be $\\var{num1}$ m and the width of the court to be $\\var{num2}$ m, both correct to the nearest metre</p>\n<p><strong>&nbsp;</strong></p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"num1": {"definition": "random(25..30)", "templateType": "anything", "group": "Ungrouped variables", "name": "num1", "description": ""}, "num2": {"definition": "random(12..18)", "templateType": "anything", "group": "Ungrouped variables", "name": "num2", "description": ""}, "res2": {"definition": "num2+0.5", "templateType": "anything", "group": "Ungrouped variables", "name": "res2", "description": ""}, "ans1": {"definition": "res1*res2", "templateType": "anything", "group": "Ungrouped variables", "name": "ans1", "description": ""}, "ans2": {"definition": "(res1*2)+(res2*2)", "templateType": "anything", "group": "Ungrouped variables", "name": "ans2", "description": ""}, "res1": {"definition": "num1+0.5", "templateType": "anything", "group": "Ungrouped variables", "name": "res1", "description": ""}, "game": {"definition": "random('basketball','tennis','badminton','volleyball','handball')", "templateType": "anything", "group": "Ungrouped variables", "name": "game", "description": ""}, "name": {"definition": "random('Robert','John','Liam','Karl','Victor')", "templateType": "anything", "group": "Ungrouped variables", "name": "name", "description": ""}}, "metadata": {"description": "<p>Basic 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/"}]}