// Numbas version: exam_results_page_options
{"name": "Degrees to radians", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["d1", "d2", "d3", "d41", "d42", "d51", "d52", "d61", "d62", "a1", "a2", "a3", "a4", "a5", "a6"], "name": "Degrees to radians", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<p>To convert degrees to radians: multiply by $\\pi$ and divide by 180.</p>\n<p>$\\frac{\\var{d1} \\times \\pi}{180} = \\var{a1}$</p>\n<p>$\\frac{\\var{d2} \\times \\pi}{180} = \\var{a2}$</p>\n<p>$\\frac{\\var{d3} \\times \\pi}{180} = \\var{a3}$</p>\n<p>$\\frac{(\\var{d41}^{\\circ}\\var{d42}^{\\prime})&nbsp;\\times \\pi}{180} = \\var{a4}$</p>\n<p>$\\frac{(\\var{d51}^{\\circ}\\var{d52}^{\\prime})&nbsp;\\times \\pi}{180} = \\var{a5}$</p>\n<p>$\\frac{(\\var{d61}^{\\circ}\\var{d62}^{\\prime})&nbsp;\\times \\pi}{180} = \\var{a6}$</p>", "rulesets": {}, "parts": [{"stepsPenalty": 0, "prompt": "<p>$\\var{d1}^{\\circ}$ =&nbsp;[[0]] radians</p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>To convert to radians divide by 180 and multiply by&nbsp;$\\pi$</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{a1}", "strictPrecision": false, "minValue": "{a1}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "2", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>$\\var{d2}^{\\circ}$&nbsp;=&nbsp;[[0]] radians</p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{a2}", "strictPrecision": false, "minValue": "{a2}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "2", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>$\\var{d3}^{\\circ}$&nbsp;=&nbsp;[[0]] radians</p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{a3}", "strictPrecision": false, "minValue": "{a3}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "2", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>$\\var{d41}^{\\circ}$&nbsp;$\\var{d42}^{\\prime}$ =&nbsp;[[0]] radians</p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{a4}", "strictPrecision": false, "minValue": "{a4}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "2", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>$\\var{d51}^{\\circ}$&nbsp;$\\var{d52}^{\\prime}$ =&nbsp;[[0]] radians</p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{a5}", "strictPrecision": false, "minValue": "{a5}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "2", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>$\\var{d61}^{\\circ}$&nbsp;$\\var{d62}^{\\prime}$ =&nbsp;[[0]] radians</p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacements": [], "maxValue": "{a6}", "strictPrecision": false, "minValue": "{a6}", "variableReplacementStrategy": "originalfirst", "precisionPartialCredit": 0, "correctAnswerFraction": false, "showCorrectAnswer": true, "precision": "2", "scripts": {}, "marks": 1, "showPrecisionHint": false, "type": "numberentry"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>Convert the following to radians:</p>\n<p>Round your answer to 2 decimal places.</p>\n<p>(note that one minute of arc, $1' = \\frac{1}{60}^\\circ$&nbsp; )</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"d2": {"definition": "random(65..87#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "d2", "description": ""}, "d3": {"definition": "random(515..599)", "templateType": "anything", "group": "Ungrouped variables", "name": "d3", "description": ""}, "d51": {"definition": "random(62..75)", "templateType": "anything", "group": "Ungrouped variables", "name": "d51", "description": ""}, "a1": {"definition": "radians(d1)", "templateType": "anything", "group": "Ungrouped variables", "name": "a1", "description": ""}, "a3": {"definition": "radians(d3)", "templateType": "anything", "group": "Ungrouped variables", "name": "a3", "description": ""}, "a2": {"definition": "radians(d2)", "templateType": "anything", "group": "Ungrouped variables", "name": "a2", "description": ""}, "a5": {"definition": "radians(d51+(d52/60))", "templateType": "anything", "group": "Ungrouped variables", "name": "a5", "description": ""}, "a4": {"definition": "radians(d41+(d42/60))", "templateType": "anything", "group": "Ungrouped variables", "name": "a4", "description": ""}, "a6": {"definition": "radians(d61+(d62/60))", "templateType": "anything", "group": "Ungrouped variables", "name": "a6", "description": ""}, "d42": {"definition": "random(40..55)", "templateType": "anything", "group": "Ungrouped variables", "name": "d42", "description": ""}, "d52": {"definition": "random(15..27)", "templateType": "anything", "group": "Ungrouped variables", "name": "d52", "description": ""}, "d1": {"definition": "random(15..37)", "templateType": "anything", "group": "Ungrouped variables", "name": "d1", "description": ""}, "d61": {"definition": "random(101..114)", "templateType": "anything", "group": "Ungrouped variables", "name": "d61", "description": ""}, "d41": {"definition": "random(15..37)", "templateType": "anything", "group": "Ungrouped variables", "name": "d41", "description": ""}, "d62": {"definition": "random(32..47)", "templateType": "anything", "group": "Ungrouped variables", "name": "d62", "description": ""}}, "metadata": {"description": "<p>Converting Degrees to Radians</p>\n<p></p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Paul Howes", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/632/"}]}]}], "contributors": [{"name": "Paul Howes", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/632/"}]}