// Numbas version: finer_feedback_settings
{"name": "Johan's copy of Multiples and Factors", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"rulesets": {}, "preamble": {"css": "", "js": ""}, "extensions": [], "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "<p>Multiples, factors, lowest common multiples and highest common factors.</p>"}, "name": "Johan's copy of Multiples and Factors", "question_groups": [{"pickQuestions": 0, "questions": [], "pickingStrategy": "all-ordered", "name": ""}], "tags": [], "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>", "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"], "statement": "<p>Solve the following.</p>", "showQuestionGroupNames": false, "type": "question", "variables": {"ca1": {"definition": "random(answers)", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "ca1"}, "hcf3": {"definition": "gcd(p,q)", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "hcf3"}, "lcm4": {"definition": "lcm(p,q)", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "lcm4"}, "ca2": {"definition": "random(answers except ca1)", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "ca2"}, "lcm2": {"definition": "lcm(n,m)", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "lcm2"}, "c": {"definition": "random(5,7)", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "c"}, "f": {"definition": "random(2..10)", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "f"}, "q": {"definition": "random(4..36 except p)", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "q"}, "product": {"definition": "a*b*c", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "product"}, "d": {"definition": "random(1..12)", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "d"}, "j": {"definition": "random(1..50 except [d,f,g,h])", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "j"}, "k": {"definition": "random(4..12)", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "k"}, "m": {"definition": "random(2..15 except [k,l,lcm])", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "m"}, "hcf": {"definition": "gcd(k,l)", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "hcf"}, "hcf2": {"definition": "gcd(n,m)+1", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "hcf2"}, "l": {"definition": "random(4..15 except k)", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "l"}, "a": {"definition": "random(1,2,3)", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "a"}, "b": {"definition": "random(2,3)", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "b"}, "p": {"definition": "random(6..24)", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "p"}, "g": {"definition": "random(2..10 except b)", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "g"}, "n": {"definition": "random(6..15 except [k,l,lcm,m])", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "n"}, "answers": {"definition": "[a,b,c,a*b,a*c,b*c,1,product]", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "answers"}, "wa2": {"definition": "random(1..product except [a,b,c,a*b,a*c,b*c,1,product,wa1])", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "wa2"}, "lcm": {"definition": "lcm(k,l)", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "lcm"}, "wa1": {"definition": "random(1..product except answers)", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "wa1"}, "h": {"definition": "random(1..100 except [d,f,g])", "templateType": "anything", "description": "", "group": "Ungrouped variables", "name": "h"}}, "functions": {}, "parts": [{"maxAnswers": "0", "displayType": "checkbox", "scripts": {}, "maxMarks": 0, "marks": 0, "showCorrectAnswer": true, "warningType": "warn", "minAnswers": 0, "distractors": ["", "", "", ""], "displayColumns": 0, "variableReplacements": [], "choices": ["<p>$\\var{ca1}$</p>", "<p>$\\var{ca2}$</p>", "<p>$\\var{wa1}$</p>", "<p>$\\var{wa2}$</p>"], "variableReplacementStrategy": "originalfirst", "prompt": "<p>Choose all of&nbsp;the factors of $\\var{product}$.</p>", "type": "m_n_2", "matrix": ["1", "1", 0, 0], "shuffleChoices": true, "minMarks": 0}, {"maxAnswers": "0", "displayType": "checkbox", "scripts": {}, "maxMarks": "2", "marks": 0, "showCorrectAnswer": true, "warningType": "none", "minAnswers": 0, "distractors": ["", "", "", ""], "displayColumns": 0, "variableReplacements": [], "choices": ["<p>$\\var{h}$</p>", "<p>$\\var{d*f}$</p>", "<p>$\\var{d*g}$</p>", "<p>$\\var{j}$</p>"], "variableReplacementStrategy": "originalfirst", "prompt": "<p>Choose all of the multiples of $\\var{d}$.</p>", "type": "m_n_2", "matrix": [0, "1", "1", 0], "shuffleChoices": true, "minMarks": 0}, {"showCorrectAnswer": true, "scripts": {}, "maxMarks": 0, "type": "1_n_2", "distractors": ["", "", "", ""], "displayColumns": 0, "displayType": "radiogroup", "variableReplacements": [], "choices": ["<p>$\\var{lcm}$</p>", "<p>$\\var{lcm2}$</p>", "<p>$\\var{hcf}$</p>", "<p>$\\var{hcf+1}$</p>"], "variableReplacementStrategy": "originalfirst", "prompt": "<p>Give the lowest common multiple of $\\var{k}$ and $\\var{l}$.</p>", "marks": 0, "matrix": ["1", 0, 0, 0], "shuffleChoices": true, "minMarks": 0}, {"showCorrectAnswer": true, "scripts": {}, "maxMarks": 0, "type": "1_n_2", "distractors": ["", "", "", ""], "displayColumns": 0, "displayType": "radiogroup", "variableReplacements": [], "choices": ["<p>$\\var{hcf3}$</p>", "<p>$\\var{hcf2}$</p>", "<p>$\\var{lcm4}$</p>", "<p>$\\var{lcm}$</p>"], "variableReplacementStrategy": "originalfirst", "prompt": "<p>Give the highest common factor of $\\var{p}$ and $\\var{q}$.</p>", "marks": 0, "matrix": ["1", 0, 0, 0], "shuffleChoices": false, "minMarks": 0}], "variable_groups": [], "variablesTest": {"condition": "", "maxRuns": 100}, "contributors": [{"name": "Johan Maertens", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1301/"}]}]}], "contributors": [{"name": "Johan Maertens", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1301/"}]}