// Numbas version: exam_results_page_options
{"name": "Multiples and Factors", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Multiples and Factors", "tags": [], "metadata": {"description": "<p>Multiples, factors, lowest common multiples and highest common factors.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>Solve the following.</p>", "advice": "<p>Multiples are in the times table of the original number (e.g., 10, 15, 20 are multiples of 5 because they are in the 5 times table).</p>\n<p>Factors multiply together in pairs to give the original number (e.g., the factors of 10 are 1, 2, 5 and 10, because 1x10=10 and 2x5=10.</p>\n<p>A lowest common multiple (LCM) is the lowest number that is in the times tables of both given numbers (e.g., the LCM of 4 and 6 is 12, because that is the lowest number that the times tables of 4 and 6 have in common).</p>\n<p>A highest common factors is the highest number&nbsp;that is the list of factors of both given numbers&nbsp;(e.g., the HCF of 10 and 15 is 5, because that is the highest number in both lists of factors).</p>", "rulesets": {}, "extensions": [], "variables": {"ca2": {"name": "ca2", "group": "Ungrouped variables", "definition": "random(answers except ca1)", "description": "", "templateType": "anything"}, "ca1": {"name": "ca1", "group": "Ungrouped variables", "definition": "random(answers)", "description": "", "templateType": "anything"}, "hcf": {"name": "hcf", "group": "Ungrouped variables", "definition": "gcd(k,l)", "description": "", "templateType": "anything"}, "lcm4": {"name": "lcm4", "group": "Ungrouped variables", "definition": "lcm(p,q)", "description": "", "templateType": "anything"}, "lcm2": {"name": "lcm2", "group": "Ungrouped variables", "definition": "lcm(n,m)", "description": "", 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"Ungrouped variables", "definition": "random(2,3)", "description": "", "templateType": "anything"}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "random(1..12)", "description": "", "templateType": "anything"}, "g": {"name": "g", "group": "Ungrouped variables", "definition": "random(2..10 except b)", "description": "", "templateType": "anything"}, "f": {"name": "f", "group": "Ungrouped variables", "definition": "random(2..10)", "description": "", "templateType": "anything"}, "h": {"name": "h", "group": "Ungrouped variables", "definition": "random(1..100 except [d*1,d*2,d*3,d*4,d*5,d*6,d*7,d*8,d*9,d*10,f*1,f*2,f*3,f*4,f*5,f*6,f*7,f*8,f*9,f*10,g*1,g*2,g*3,g*4,g*5,g*6,g*7,g*8,g*9,g*10])", "description": "", "templateType": "anything"}, "k": {"name": "k", "group": "Ungrouped variables", "definition": "random(4..12)", "description": "", "templateType": "anything"}, "j": {"name": "j", "group": "Ungrouped variables", "definition": "random(1..50 except 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[a,b,c,a*b,a*c,b*c,1,product,wa1])", "description": "", "templateType": "anything"}, "wa1": {"name": "wa1", "group": "Ungrouped variables", "definition": "random(1..product except answers)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["hcf2", "lcm2", "a", "b", "c", "product", "answers", "wa1", "wa2", "ca1", "ca2", "d", "f", "g", "h", "j", "k", "l", "lcm", "m", "n", "hcf", "p", "q", "hcf3", "lcm4"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_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": "<p>Choose all 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[{"name": "Rachel Staddon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/901/"}]}]}], "contributors": [{"name": "Rachel Staddon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/901/"}]}