// Numbas version: exam_results_page_options
{"name": "Pupil Teacher Ratio randomised", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Pupil Teacher Ratio randomised", "preamble": {"js": "", "css": ""}, "variable_groups": [], "variables": {"percent": {"templateType": "anything", "name": "percent", "definition": "(1/(studentrat+1))*100", "description": "", "group": "Ungrouped variables"}, "studentrat": {"templateType": "anything", "name": "studentrat", "definition": "Random(17..22)", "description": "", "group": "Ungrouped variables"}}, "statement": "<p>The ratio of teachers to pupils in a school is 1:{studentrat}</p>", "parts": [{"precisionMessage": "You have not given your answer to the correct precision.", "type": "numberentry", "maxValue": "percent", "mustBeReduced": false, "showCorrectAnswer": true, "strictPrecision": false, "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "mustBeReducedPC": 0, "extendBaseMarkingAlgorithm": true, "precision": "2", "precisionType": "dp", "prompt": "<p>What percentage of the school population are teachers?</p>", "marks": "10", "scripts": {}, "correctAnswerStyle": "plain", "customMarkingAlgorithm": "\nmark:\n   apply(validNumber);\n    if(isFraction,\n        apply(cancelled)\n    ,\n        apply(correctPrecision)\n    );\n    switch(\n    studentNumber=precround(100/(1+studentrat),studentPrecision),set_credit(1,\"Correct Answer, Well Done!\"),\n    studentNumber=precround(100/studentrat,studentPrecision),set_credit(0.5,\"Some good work done but not quite there yet. Have a think about your denominator\"),\n    studentNumber=precround(1/(1+studentrat),studentPrecision),set_credit(0.7,\"Is your answer a percentage?\"),\n    studentNumber=precround((1+studentrat)/100.0,studentPrecision),set_credit(0.3,\"Something worthwhile here but you need to think further\"),\n    set_credit(0,\"Incorrect\") \n    )", "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "showFeedbackIcon": true, "unitTests": [], "precisionPartialCredit": 0, "allowFractions": false, "variableReplacements": [], "minValue": "percent"}], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Simple ratio question with custom marking and partial credit possible</p>\n<p>The marking checks for some common errors and awards partial credit and appropriate feedback. The errors that give different levels of partial credit include: forgetting to add one to the denominator, forgetting to change to a percentage.</p>"}, "variablesTest": {"condition": "", "maxRuns": 100}, "extensions": [], "tags": [], "ungrouped_variables": ["studentrat", "percent"], "rulesets": {}, "functions": {}, "advice": "<p>The fraction of the school population that are teachers is&nbsp;$\\frac{1}{1+\\var{studentrat}}$</p>\n<p>Convert this to a decimal by multiplying by 100.</p>\n<p>$\\frac{1}{\\simplify{1+{studentrat}}}*100=\\var{percent}$</p>\n<p></p>", "type": "question", "contributors": [{"name": "Deirdre Casey", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/681/"}]}]}], "contributors": [{"name": "Deirdre Casey", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/681/"}]}