// Numbas version: exam_results_page_options
{"name": "Percentage of reports submitted (or not) (6)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Percentage of reports submitted (or not) (6)", "tags": ["LANTITE"], "metadata": {"description": "<p>Written for the Western Sydney University MESH numeracy preparation workshop for the LANTITE test (Australia). Students are given a proportion of staff who either have or haven't completed their reports. They are asked to find the complement, as a percentage. There are 6 different versions of this question.&nbsp;</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>{done_word[index]}&nbsp;of the {staff_word[index]} teachers working at Sandy Beach Primary School have {done_or_not[index]}submitted their semester reports for approval.&nbsp;</p>", "advice": "<p>Did you notice the sneaky 'not' in this question?</p>\n<p>There is more than one way to solve this problem. Here is one way:</p>\n<div data-jme-visible=\"done_or_not[index]=&quot;&quot;\">\n<p>We are given the proportion of teachers who <strong>have</strong> completed their semester reports.</p>\n<p>As a fraction, this can be written as $ \\displaystyle{\\frac{\\var{done_number[index]}} {\\var{staff_number[index]}}}$.</p>\n<p>You are asked for the percentage of teachers who have <strong>not</strong> completed their semester reports.</p>\n<p>As a fraction, this can be written as $1 - \\displaystyle{\\frac{\\var{done_number[index]}} {\\var{staff_number[index]}}} =&nbsp; \\frac{\\var{staff_number[index]-done_number[index]}} {\\var{staff_number[index]}}$.</p>\n<p>To convert this to a percentage, multiply the numerator and denominator by&nbsp; $\\var{multiplier[index]}$.</p>\n<p>$ \\displaystyle{\\frac{\\var{staff_number[index]-done_number[index]}} {\\var{staff_number[index]}}} \\times&nbsp; \\frac {\\var{multiplier[index]}} {\\var{multiplier[index]}} =&nbsp; \\frac{\\var{(staff_number[index]-done_number[index])*multiplier[index]}} {100} = \\var{answer}\\%$.</p>\n</div>\n<div data-jme-visible=\"done_or_not[index]=&quot;not &quot;\">\n<p>We are given the proportion of teachers who have <strong>not</strong> completed their semester reports.</p>\n<p>As a fraction, this can be written as $ \\displaystyle{\\frac{\\var{done_number[index]}} {\\var{staff_number[index]}}}$.</p>\n<p>To convert this to a percentage, multiply the numerator and denominator by&nbsp; $\\var{multiplier[index]}$.</p>\n<p>$ \\displaystyle{\\frac{\\var{done_number[index]}} {\\var{staff_number[index]}}}&nbsp; \\times&nbsp; \\frac {\\var{multiplier[index]}} {\\var{multiplier[index]}}&nbsp; =&nbsp; \\frac{\\var{(done_number[index])*multiplier[index]}} {100}$</p>\n<p>This is the percentage of teachers who have not completed their semester reports.</p>\n<p>To find the&nbsp;percentage of teachers who <strong>have&nbsp;</strong>completed their semester reports, subtract this from&nbsp; $100\\%$.</p>\n<p>$100\\% - \\var{100-{answer}}\\% = \\var{answer}\\%$.</p>\n</div>\n<p></p>\n<p></p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"done_word": {"name": "done_word", "group": "Ungrouped variables", "definition": "['Eighteen','Seventeen','Four','Nineteen','Twenty-one','Two']", "description": "<p>The number who have (or haven't) submitted (in words).</p>", "templateType": "anything", "can_override": false}, "done_number": {"name": "done_number", "group": "Ungrouped variables", "definition": "[18,17,4,19,21,2]", "description": "<p>The number who have (or haven't) submitted (in numbers).</p>", "templateType": "anything", "can_override": false}, "staff_word": {"name": "staff_word", "group": "Ungrouped variables", "definition": "['twenty','twenty','twenty','twenty-five','twenty-five','twenty-five']", "description": "<p>The&nbsp; total number of staff (in words).</p>", "templateType": "anything", "can_override": false}, "staff_number": {"name": "staff_number", "group": "Ungrouped variables", "definition": "[20,20,20,25,25,25]", "description": "<p>The&nbsp; total number of staff (in numbers).</p>", "templateType": "anything", "can_override": false}, "done_or_not": {"name": "done_or_not", "group": "Ungrouped variables", "definition": "['','','not ','','','not ']", "description": "<p>This variable changes the&nbsp;staff&nbsp;to have 'not submitted' their reports.</p>", "templateType": "anything", "can_override": false}, "question_not": {"name": "question_not", "group": "Ungrouped variables", "definition": "['not ','not ','','not ','not ','']", "description": "<p>This variable changes the question to 'not submitted'.</p>", "templateType": "anything", "can_override": false}, "index": {"name": "index", "group": "Ungrouped variables", "definition": "random(0..5)", "description": "<p>The randomly generated index which determines which version of the question is delivered.</p>", "templateType": "anything", "can_override": false}, "multiplier": {"name": "multiplier", "group": "Ungrouped variables", "definition": "[5,5,5,4,4,4]", "description": "<p>The number to scale the fraction up by, to get a percentage.</p>", "templateType": "anything", "can_override": false}, "answer": {"name": "answer", "group": "Ungrouped variables", "definition": "(staff_number[index]-done_number[index])*multiplier[index]", "description": "<p>The final answer.</p>", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["done_word", "done_number", "staff_word", "staff_number", "done_or_not", "question_not", "index", "multiplier", "answer"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What percentage of the teachers have&nbsp;{question_not[index]}submitted their reports?</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": "1", "showCellAnswerState": true, "choices": ["$\\var{answer}\\%$", "$\\var{((done_number[index])*100.0)/(1.0*staff_number[index])}\\%$", "$\\var{(staff_number[index]-done_number[index])}\\%$", "$\\var{(done_number[index])}\\%$"], "matrix": ["1", 0, 0, 0], "distractors": ["You're correct - well done!", "Have you read the question carefully - did you see the 'not' in the question?", "You need to convert the proportion to a percentage.", "Have you noticed the 'not' in the question? Have you converted the proportion to a percentage?"]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Adelle Colbourn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2083/"}]}]}], "contributors": [{"name": "Adelle Colbourn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2083/"}]}