// Numbas version: exam_results_page_options
{"name": "Percentage question 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Percentage question 1", "tags": [], "metadata": {"description": "<p>Simple % calculation to introduce and practice concept for students identified as weak in this area</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Understanding percentage (%) is important in lots of situations, this question will help you with the basic concept of %.</p>\n<p>Answer the following three question parts. Please enter your answers as a decimal, not a fraction. Give your answer to two decimal places (only round your final answer, use the exact values on your calculator when working out any intermediate steps).</p>\n<p>If you would like to see how to do these questions, click on 'Reveal answers' at the bottom of the page.</p>", "advice": "<p>Remember percentage (%) means part per 100 so can be considerd as a fraction out of a hundred. You could imagine 70% as the fraction $\\frac{70}{100}$</p>\n<p>There are many ways to work these out but if you look at them as algebra equations you can work them out this way. Remember to round your answer to two decimal places. Make sure you round correctly.</p>\n<p><span style=\"text-decoration: underline;\"><strong>Part a</strong></span></p>\n<p>We will call the answer we need $p$ so the equation is</p>\n<p><strong>$\\frac{p}{100} = \\frac{\\var{lownumber}}{\\var{highnumber}} $ or if we rearrange the equation</strong></p>\n<p><strong>$p = 100 \\times \\frac{\\var{lownumber}}{\\var{highnumber}}$</strong></p>\n<p></p>\n<p style=\"padding-left: 40px;\"><span style=\"text-decoration: underline;\"><strong>Part b</strong></span></p>\n<p style=\"padding-left: 40px;\">We will call the answer we need $q$ so the equation is</p>\n<p style=\"padding-left: 40px;\"><strong>$\\frac{q}{100} = \\frac{\\var{highnumber}}{\\var{lownumber}}$ or if we rearrange the equation</strong></p>\n<p style=\"padding-left: 40px;\"><strong>$q = 100 \\times \\frac{\\var{highnumber}}{\\var{lownumber}}$</strong></p>\n<p><span style=\"text-decoration: underline;\"><strong>Part c</strong></span></p>\n<p>We will call the answer we need $r$ so the equation is</p>\n<p><strong>$\\frac{r}{100} = \\frac{\\var{lownumber}}{\\var{10*highnumber}}$ or if we rearrange the equation</strong></p>\n<p><strong>$r = 100 \\times \\frac{\\var{lownumber}}{\\var{10*highnumber}}$</strong></p>\n<p style=\"padding-left: 40px;\"></p>\n<p></p>\n<p></p>\n<p></p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"lownumber": {"name": "lownumber", "group": "Ungrouped variables", "definition": "random(1 .. 10#0.1)", "description": "<p>This is the low number used as numerator or denominator for the fraction</p>", "templateType": "randrange", "can_override": false}, "highnumber": {"name": "highnumber", "group": "Ungrouped variables", "definition": "random(10 .. 30#0.1)", "description": "<p>This is the high number used as numerator or denominator for the fraction</p>", "templateType": "randrange", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["lownumber", "highnumber"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is {lownumber} as a percentage of {highnumber}? Provide your answer to two decimal places.</p>", "minValue": "100*lownumber/highnumber", "maxValue": "100*lownumber/highnumber", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct number of decimal places.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is {highnumber} as a percentage of {lownumber}? Provide your answer to two decimal places.</p>", "minValue": "100*highnumber/lownumber", "maxValue": "100*highnumber/lownumber", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct number of decimal places.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is {lownumber} as a percentage of {10*highnumber}? 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