// Numbas version: exam_results_page_options
{"name": "E's copy of Terry's copy of Converting angles from degrees to radians", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"js": "", "css": ""}, "variables": {"medansden": {"name": "medansden", "definition": "switch(med=35, 0.611, med=50, 0.873, med=75, 1.309, med=115, 2.007)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "ans3": {"name": "ans3", "definition": "a*180/b", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "med": {"name": "med", "definition": " random(35, 50, 75, 115)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "b": {"name": "b", "definition": "random(2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "easyans": {"name": "easyans", "definition": "if(easy1=45,or(pi/4,0.785),if(easy1=90,or(pi/2,1.751),if(easy1=270,or(3pi/2,4.712)),or(3pi,9.425)))", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "a": {"name": "a", "definition": "random(2..12)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "easy1": {"name": "easy1", "definition": "random(45,90,270,540)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}}, "extensions": [], "name": "E's copy of Terry's copy of Converting angles from degrees to radians", "metadata": {"description": "<p>Convert from degrees to radians</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "ungrouped_variables": ["easy1", "easyans", "med", "medansden", "a", "b", "ans3"], "tags": [], "parts": [{"type": "gapfill", "prompt": "<p>$\\var{easy1}^\\circ=$&nbsp;[[0]]</p>", "unitTests": [], "sortAnswers": false, "marks": 0, "scripts": {}, "showFeedbackIcon": true, "showCorrectAnswer": true, "customMarkingAlgorithm": "", "customName": "", "gaps": [{"checkVariableNames": false, "type": "jme", "vsetRangePoints": 5, "checkingType": "absdiff", "unitTests": [], "marks": 1, "scripts": {}, "showFeedbackIcon": true, "failureRate": 1, "answer": "{easyans}", "vsetRange": [0, 1], "showCorrectAnswer": true, "customMarkingAlgorithm": "", "customName": "", "checkingAccuracy": 0.001, "useCustomName": false, "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "showPreview": true, "valuegenerators": [{"name": "easyans", "value": ""}], "variableReplacements": []}], "useCustomName": false, "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": []}, {"type": "gapfill", "prompt": "<p>$\\var{med}^\\circ=$&nbsp;[[0]]</p>", "unitTests": [], "sortAnswers": false, "marks": 0, "scripts": {}, "showFeedbackIcon": true, "showCorrectAnswer": true, "customMarkingAlgorithm": "", "customName": "", "gaps": [{"checkVariableNames": false, "type": "jme", "vsetRangePoints": 5, "checkingType": "absdiff", "unitTests": [], "marks": 1, "scripts": {}, "showFeedbackIcon": true, "failureRate": 1, "answer": "pi/{medansden}", "vsetRange": [0, 1], "showCorrectAnswer": true, "customMarkingAlgorithm": "", "customName": "", "checkingAccuracy": 0.001, "useCustomName": false, "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "showPreview": true, "valuegenerators": [], "variableReplacements": []}], "useCustomName": false, "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": []}, {"type": "gapfill", "prompt": "<p>$\\var{a*b}^\\circ=$&nbsp;[[0]]</p>", "unitTests": [], "sortAnswers": false, "marks": 0, "scripts": {}, "showFeedbackIcon": true, "showCorrectAnswer": true, "customMarkingAlgorithm": "", "customName": "", "gaps": [{"checkVariableNames": false, "answerSimplification": "fractionNumbers", "unitTests": [], "scripts": {}, "showFeedbackIcon": true, "failureRate": 1, "answer": "{a*b/180}pi", "showCorrectAnswer": true, "variableReplacements": [], "useCustomName": false, "vsetRange": [0, 1], "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "showPreview": true, "vsetRangePoints": 5, "type": "jme", "checkingType": "absdiff", "marks": 1, "customMarkingAlgorithm": "", "customName": "", "checkingAccuracy": 0.001, "valuegenerators": []}], "useCustomName": false, "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": []}], "variable_groups": [], "advice": "<p>$180^\\circ$&nbsp;is equal to $\\pi$ radians. This means for each $180^\\circ$ we can replace it with $\\pi$ radians. To determine how many $180^\\circ$s are <g class=\"gr_ gr_8 gr-alert gr_gramm gr_inline_cards gr_run_anim Grammar multiReplace\" id=\"8\" data-gr-id=\"8\">in</g> an angle, we divide the angle by $180^\\circ$. In other words,&nbsp;to convert from degrees to radians we divide by $180^\\circ$ and multiply by $\\pi$ radians.</p>\n<p></p>\n<p>For example, $\\displaystyle 72^\\circ=\\frac{72^\\circ}{180^\\circ}\\times \\pi=\\frac{2\\pi}{5}$.</p>\n<p></p>\n<p>It is useful to memorise some of the very common angles, for example, $30^\\circ=\\displaystyle \\frac{\\pi}{6},\\, 45^\\circ=\\frac{\\pi}{4},\\, 60^\\circ=\\frac{\\pi}{3}, \\,90^\\circ=\\frac{\\pi}{2}, \\,180^\\circ=\\pi$ and $360^\\circ=2\\pi$.</p>", "rulesets": {}, "statement": "<p>Please <g class=\"gr_ gr_6 gr-alert gr_spell gr_inline_cards gr_run_anim ContextualSpelling ins-del multiReplace\" id=\"6\" data-gr-id=\"6\">convert</g> the following angles from degrees to radians.</p>\n<p><strong>Note:</strong> to enter the value $\\pi$ simply type pi. For example, $\\frac{3\\pi}{2}$ could be entered as 3*pi/2 or even as 3pi/2</p>", "functions": {}, "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}, {"name": "E Lingham", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3525/"}]}]}], "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}, {"name": "E Lingham", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3525/"}]}