// Numbas version: finer_feedback_settings
{"name": "Divisibility: 50", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variables": {"d0": {"templateType": "anything", "description": "", "name": "d0", "definition": "mod(num,10)", "group": "Ungrouped variables"}, "num": {"templateType": "anything", "description": "", "name": "num", "definition": "if(seed=0, fiver+random(1..49),fiver)", "group": "Ungrouped variables"}, "d1": {"templateType": "anything", "description": "", "name": "d1", "definition": "mod(floor(num/10),10)", "group": "Ungrouped variables"}, "seed": {"templateType": "anything", "description": "", "name": "seed", "definition": "random(0,1)", "group": "Ungrouped variables"}, "fiver": {"templateType": "anything", "description": "", "name": "fiver", "definition": "random(300..2000#50)", "group": "Ungrouped variables"}, "thismany": {"templateType": "anything", "description": "", "name": "thismany", "definition": "num/50", "group": "Ungrouped variables"}}, "parts": [{"scripts": {}, "stepsPenalty": "1", "showFeedbackIcon": true, "showCorrectAnswer": true, "displayColumns": 0, "maxMarks": 0, "choices": ["Yes", "No"], "shuffleChoices": false, "minMarks": 0, "marks": 0, "showCellAnswerState": true, "steps": [{"customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "scripts": {}, "type": "information", "variableReplacements": [], "showFeedbackIcon": true, "marks": 0, "unitTests": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "prompt": "<p>A number is&nbsp;divisible by $50$ if and only if it ends with the digits $00$ or the digits $50$ (because we need ito to be divisible by $10$ and then after dividing by $10$ it still needs to be divisible by $5$).</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 $50$.</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 $50$. </span></p>\n<p><span data-jme-visible=\"seed=1\">To work out how many fifties are in a number, you&nbsp;could divide by $10$ and then by $5$.</span></p>\n<p><span data-jme-visible=\"seed=1\">For instance, $\\frac{\\var{num}}{50}=\\frac{\\var{num/10}}{5}$ by crossing off zeros (i.e. dividing top and bottom by $10$), and to divide by $5$ we can double and cross of zeros: $\\frac{\\var{num/10}}{5}=\\frac{\\var{num/5}}{10}=\\var{thismany}$.</span>&nbsp;</p>\n<p></p>\n<p></p>"}], "extendBaseMarkingAlgorithm": true, "type": "1_n_2", "variableReplacements": [], "unitTests": [], "distractors": ["", ""], "displayType": "radiogroup", "matrix": ["seed", "1-seed"], "prompt": "<p>Is $\\var{num}$ divisible by $50$?</p>", "customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst"}], "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": {}, "extensions": [], "tags": [], "ungrouped_variables": ["seed", "fiver", "num", "thismany", "d1", "d0"], "rulesets": {}, "advice": "", "metadata": {"description": "<p>Is this number divisible by 50? 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 fifties.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "variablesTest": {"condition": "", "maxRuns": 100}, "variable_groups": [], "name": "Divisibility: 50", "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/"}]}