// Numbas version: exam_results_page_options
{"name": "NC NA Convert a proportion to a percentage (10+)", "extensions": ["written-number"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "NC NA Convert a proportion to a percentage (10+)", "tags": ["LANTITE"], "metadata": {"description": "<p>Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number &amp; Algebra strand. Students are given a proportion of students who DO speak a language other than English at home, and are asked to find the percentage who do NOT. The fraction denominator is either 20 or 25, and the numerator is randomised.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>{capitalise(written_number(num_students))} of the {written_number(class_size)} students in Mrs Griva&rsquo;s class speak a language other than English at home.</p>", "advice": "<p>First work out the number of students who do NOT speak a language other than English at home.</p>\n<p>In this case it is&nbsp; $\\var{class_size} - \\var{num_students} = \\var{class_size-num_students}$&nbsp; students.</p>\n<p>Then write this as a fraction out of&nbsp; $\\var{class_size}$.</p>\n<p>$ \\displaystyle{\\frac{\\var{class_size-num_students}} {\\var{class_size}}} $&nbsp; of the students in Mrs Griva&rsquo;s class do NOT speak a language other than English at home.</p>\n<p>Finally, convert this to a percentage. You could multiply the fraction by&nbsp;&nbsp;$ \\displaystyle{\\frac{\\var{100/class_size}}{\\var{100/class_size}}} $ in order to scale up to a mark out of&nbsp; $100$.&nbsp;</p>\n<p>&nbsp;$ \\displaystyle{\\frac{\\var{class_size-num_students}} {\\var{class_size}} \\times \\frac{\\var{100/class_size}}{\\var{100/class_size}}&nbsp; =&nbsp; \\frac{\\var{(class_size-num_students)/class_size*100}}{100} = \\var{(class_size-num_students)/class_size*100}\\%}$</p>\n<p>$\\var{(class_size-num_students)/class_size*100}\\%$&nbsp; of the students in Mrs Griva&rsquo;s class do NOT speak a language other than English at home.</p>", "rulesets": {}, "extensions": ["written-number"], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"num_students": {"name": "num_students", "group": "Ungrouped variables", "definition": "random(3 .. 19#1)", "description": "<p>The number of students in the class who do speak a language other than English.&nbsp;</p>", "templateType": "randrange", "can_override": false}, "class_size": {"name": "class_size", "group": "Ungrouped variables", "definition": "random(20,25)", "description": "<p>There are either 20 or 25 students in the class, to enable the conversion to a percentage to be done without a calculator, and without the need for rounding.</p>", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["num_students", "class_size"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>What percentage of Mrs Griva&rsquo;s students do not speak a language other than English at home?&nbsp;</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": "1", "showCellAnswerState": true, "choices": ["$\\var{class_size-num_students}\\%$", "$\\var{num_students*100/class_size}\\%$", "$\\var{num_students}\\%$", "$\\var{(class_size-num_students)/class_size*100}\\%$"], "matrix": [0, 0, 0, "1"], "distractors": ["Have you converted this to a percentage? Click on Reveal Answer and scroll down for Advice regarding this question.", "How many students do NOT speak a language other than English at home? Click on Reveal Answer and scroll down for Advice regarding this question.", "How many students do NOT speak a language other than English at home? Then convert this to a percentage. Click on Reveal Answer and scroll down for Advice regarding this question.", "Well done!"]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Don Shearman", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/680/"}, {"name": "Adelle Colbourn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2083/"}]}]}], "contributors": [{"name": "Don Shearman", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/680/"}, {"name": "Adelle Colbourn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2083/"}]}