// Numbas version: exam_results_page_options
{"name": "Divisibility: 25", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"tags": [], "parts": [{"variableReplacements": [], "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "prompt": "<p>Is $\\var{num}$ divisible by $25$?</p>", "showFeedbackIcon": true, "type": "1_n_2", "showCellAnswerState": true, "unitTests": [], "shuffleChoices": false, "steps": [{"variableReplacements": [], "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "customMarkingAlgorithm": "", "prompt": "<p>A numbers is&nbsp;divisible by $25$ if and only if it ends&nbsp;with the two digits&nbsp;$00, \\, 25,\\, 50$ or $75$.&nbsp;</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 $25$.</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 $25$. </span></p>\n<p><span data-jme-visible=\"seed=1\">To work out how many twenty-fives are in a number, you&nbsp;can double the number, double it again, and then cross off the last two zero digits (this works because&nbsp;multiplying by $4$ and then dividing by $100$ is equivalent to dividing by $25$). </span></p>\n<p><span data-jme-visible=\"seed=1\">For instance, $\\var{num}$ doubles to give $\\var{2*num}$, doubling again gives $\\var{4*num}$ so&nbsp;we can cross of the last two zeros and conclude there are $\\var{thismany}$ twenty-fives in $\\var{num}$. In other words, $\\frac{\\var{num}}{25}=\\var{thismany}$.</span>&nbsp;</p>\n<p></p>\n<p></p>", "unitTests": [], "showFeedbackIcon": true, "type": "information", "showCorrectAnswer": true, "scripts": {}}], "distractors": ["", ""], "matrix": ["seed", "1-seed"], "showCorrectAnswer": true, "minMarks": 0, "displayColumns": 0, "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "displayType": "radiogroup", "maxMarks": 0, "stepsPenalty": "1", "choices": ["Yes", "No"]}], "rulesets": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "<p>Is this number divisible by 25? Half the time the number is, half the time it isn't. Steps&nbsp;give the divisibility test and a way to determine the number of twenty-fives.</p>"}, "advice": "", "variable_groups": [], "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>", "name": "Divisibility: 25", "ungrouped_variables": ["seed", "twentyfiver", "num", "thismany", "d0", "d1"], "preamble": {"js": "", "css": ""}, "functions": {}, "extensions": [], "variables": {"d0": {"templateType": "anything", "definition": "mod(num,10)", "group": "Ungrouped variables", "name": "d0", "description": ""}, "num": {"templateType": "anything", "definition": "if(seed=0, twentyfiver+random(1..24),twentyfiver)", "group": "Ungrouped variables", "name": "num", "description": ""}, "thismany": {"templateType": "anything", "definition": "num/25", "group": "Ungrouped variables", "name": "thismany", "description": ""}, "seed": {"templateType": "anything", "definition": "random(0,1)", "group": "Ungrouped variables", "name": "seed", "description": ""}, "twentyfiver": {"templateType": "anything", "definition": "random(300..10000#25)", "group": "Ungrouped variables", "name": "twentyfiver", "description": ""}, "d1": {"templateType": "anything", "definition": "mod(floor(num/10),10)", "group": "Ungrouped variables", "name": "d1", "description": ""}}, "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/"}]}