// Numbas version: finer_feedback_settings
{"name": "Divisibility: 5", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variables": {"fiver": {"name": "fiver", "definition": "random(300..2000#5)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "thismany": {"name": "thismany", "definition": "num/5", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "seed": {"name": "seed", "definition": "random(0,1)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "num": {"name": "num", "definition": "if(seed=0, fiver+random(1..4),fiver)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}}, "preamble": {"css": "", "js": ""}, "functions": {}, "advice": "", "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["seed", "fiver", "num", "thismany"], "variable_groups": [], "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "<p>Is this number divisible by 5? 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 fives.</p>"}, "name": "Divisibility: 5", "tags": [], "rulesets": {}, "parts": [{"maxMarks": 0, "shuffleChoices": false, "showFeedbackIcon": true, "unitTests": [], "minMarks": 0, "type": "1_n_2", "matrix": ["seed", "1-seed"], "stepsPenalty": "1", "showCorrectAnswer": true, "variableReplacements": [], "prompt": "<p>Is $\\var{num}$ divisible by $5$?</p>", "distractors": ["", ""], "extendBaseMarkingAlgorithm": true, "steps": [{"prompt": "<p>A number is&nbsp;divisible by $5$ if and only if it ends in the digit $0$ or the digit $5$.&nbsp;</p>\n<p><span data-jme-visible=\"seed=0\">Since $\\var{num}$ ends with the digit $\\var{mod(num,10)}$ it is NOT divisible by $5$.</span></p>\n<p><span data-jme-visible=\"seed=1\">Since $\\var{num}$ ends with the digit $\\var{mod(num,10)}$ it is divisible by $5$. </span></p>\n<p><span data-jme-visible=\"seed=1\">To work out how many fives are in a number, you&nbsp;can double the number and then cross off the end zero digit (this works because&nbsp;multiplying by $2$ and then dividing by $10$ is equivalent to dividing by $5$). </span></p>\n<p><span data-jme-visible=\"seed=1\">For instance, $\\var{num}$ doubles to give $\\var{2*num}$&nbsp;so&nbsp;we can cross of the zero and conclude there are $\\var{thismany}$ fives in $\\var{num}$. In other words, $\\frac{\\var{num}}{5}=\\var{thismany}$.</span>&nbsp;</p>\n<p></p>\n<p></p>", "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "showCorrectAnswer": true, "unitTests": [], "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "marks": 0, "scripts": {}, "type": "information"}], "variableReplacementStrategy": "originalfirst", "scripts": {}, "customMarkingAlgorithm": "", "showCellAnswerState": true, "choices": ["Yes", "No"], "displayType": "radiogroup", "marks": 0, "displayColumns": 0}], "extensions": [], "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>", "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/"}]}