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{"name": "Divisibility: 100", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variables": {"num": {"name": "num", "description": "", "templateType": "anything", "definition": "if(seed=0, twentyfiver+random(1..99),twentyfiver)", "group": "Ungrouped variables"}, "d0": {"name": "d0", "description": "", "templateType": "anything", "definition": "mod(num,10)", "group": "Ungrouped variables"}, "seed": {"name": "seed", "description": "", "templateType": "anything", "definition": "random(0,1)", "group": "Ungrouped variables"}, "d1": {"name": "d1", "description": "", "templateType": "anything", "definition": "mod(floor(num/10),10)", "group": "Ungrouped variables"}, "twentyfiver": {"name": "twentyfiver", "description": "", "templateType": "anything", "definition": "random(1000..10000#100)", "group": "Ungrouped variables"}, "thismany": {"name": "thismany", "description": "", "templateType": "anything", "definition": "num/100", "group": "Ungrouped variables"}}, "parts": [{"scripts": {}, "stepsPenalty": "1", "showFeedbackIcon": true, "showCorrectAnswer": true, "displayColumns": 0, "maxMarks": 0, "extendBaseMarkingAlgorithm": true, "shuffleChoices": false, "minMarks": 0, "marks": 0, "steps": [{"customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "type": "information", "unitTests": [], "showFeedbackIcon": true, "marks": 0, "variableReplacements": [], "showCorrectAnswer": true, "prompt": "<p>A numbers is&nbsp;divisible by $100$ if and only if it ends&nbsp;with the digits&nbsp;$00$.</p>\n<p><span data-jme-visible=\"seed=0\">Since $\\var{num}$ ends with the digits $\\var{d1}\\var{d0}$ it is NOT divisible by $100$.</span></p>\n<p><span data-jme-visible=\"seed=1\">Since $\\var{num}$ ends with the digits $\\var{d1}\\var{d0}$ it is divisible by $100$. </span></p>\n<p><span data-jme-visible=\"seed=1\">To work out how many $100$s&nbsp;are in a number we simply cross of the last two zeros!</span></p>\n<p><span data-jme-visible=\"seed=1\">For instance, crossing off the $00$&nbsp;at the end of $\\var{num}$ gives $\\var{num/100}$ so&nbsp;we can conclude there are $\\var{thismany}$ hundreds&nbsp;in $\\var{num}$. In other words, $\\frac{\\var{num}}{100}=\\var{thismany}$.</span>&nbsp;</p>\n<p></p>\n<p></p>"}], "showCellAnswerState": true, "type": "1_n_2", "variableReplacements": [], "unitTests": [], "distractors": ["", ""], "displayType": "radiogroup", "matrix": ["seed", "1-seed"], "prompt": "<p>Is $\\var{num}$ divisible by $100$?</p>", "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "choices": ["Yes", "No"]}], "statement": "<p>If you are unsure of how to do&nbsp;a question, click on&nbsp;<em>Show steps</em>&nbsp;to see the full working. Then, once you understand how to do the question, click on&nbsp;<em>Try another question like this one</em>&nbsp;to start again.</p>", "functions": {}, "advice": "", "tags": [], "ungrouped_variables": ["seed", "twentyfiver", "num", "thismany", "d0", "d1"], "rulesets": {}, "extensions": [], "metadata": {"description": "<p>Is this number divisible by 100? Half the time the number is, half the time it isn't. Steps&nbsp;give the divisibility test and how to count the number of 100s.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "variablesTest": {"maxRuns": 100, "condition": ""}, "variable_groups": [], "name": "Divisibility: 100", "preamble": {"js": "", "css": ""}, "type": "question", "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}]}], "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}