// Numbas version: exam_results_page_options
{"name": "BMI calculations", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "BMI calculations", "tags": ["ephlth", "nursing"], "metadata": {"description": "<p>Given the formula&nbsp;for BMI, students are asked to determine a patient's BMI given their height in cm (as people usually do) and their mass in kg.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>Calculate the following <strong>with the use</strong> of a calculator.</p>", "advice": "", "rulesets": {}, "extensions": [], "variables": {"upordown": {"name": "upordown", "group": "Ungrouped variables", "definition": "if(bmi6dec>bmi,\"down\",if(bmi6dec<bmi,\"up\",\"\"))", "description": "", "templateType": "anything"}, "height": {"name": "height", "group": "Ungrouped variables", "definition": "random(150..190)", "description": "", "templateType": "anything"}, "bmi6dec": {"name": "bmi6dec", "group": "Ungrouped variables", "definition": "precround(10000*mass/(height^2),6)", "description": "", "templateType": "anything"}, "bmi": {"name": "bmi", "group": "Ungrouped variables", "definition": "precround(10000*mass/(height^2),2)", "description": "", "templateType": "anything"}, "mass": {"name": "mass", "group": "Ungrouped variables", "definition": "random(60..130)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["mass", "height", "bmi", "bmi6dec", "upordown"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "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>A patient has a height of $\\var{height}$ cm&nbsp;and weighs $\\var{mass}$ kg.&nbsp;</p>\n<p>The&nbsp;formula for BMI (Body Mass Index) is</p>\n<p>\\[\\text{BMI}=\\frac{\\text{mass (kg)}}{\\text{height (m)}^2}.\\]&nbsp;</p>\n<p>The patient's BMI to two decimal places is&nbsp;[[0]].</p>", "stepsPenalty": "1", "steps": [{"type": "information", "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>The equation for BMI&nbsp;is</p>\n<p>\\[\\text{BMI}=\\frac{\\text{mass (kg)}}{\\text{height (m)}^2}\\]&nbsp;</p>\n<p>Notice the units in the formula are kilograms and metres. We convert the $\\var{height}$ cm into metres by moving the decimal point twice to the left to get $\\var{height/100}$ m.&nbsp;</p>\n<p>Using a scientific calculator you&nbsp;can type in \\[\\var{mass}\\div \\var{height/100}^2\\] or by using the fraction button you may be able to type in&nbsp;\\[\\frac{\\var{mass}}{\\var{height/100}^2}\\] and it will give you something like $\\var{bmi6dec}$ which you need to round {upordown} to two decimal places and get <span data-jme-visible=\"mod(bmi*10,1)&lt;&gt;0\">$\\var{bmi}$</span>&nbsp;<span data-jme-visible=\"mod(bmi*10,1)=0 and mod(bmi,1)&lt;&gt;0\">$\\var{bmi}0$</span>&nbsp;<span data-jme-visible=\"mod(bmi,1)=0\">$\\var{bmi}.00$</span></p>\n<p></p>\n<p></p>\n<p>A few things to remark:</p>\n<ul>\n<li>Since the height is given in centimetres you would need to know there <g class=\"gr_ gr_67 gr-alert gr_gramm gr_inline_cards gr_run_anim Grammar multiReplace\" id=\"67\" data-gr-id=\"67\">are</g> $100$ cm in $1$ m, so for example, $183$ cm would be $1.83$ m.</li>\n<li>If you were using a non-scientific calculator you would need to know that squaring the height must happen&nbsp;before the division, that is you would need to use brackets as so, $\\var{mass}\\div \\left(\\var{height/100}^2\\right)$.</li>\n<li>If you had a pocket calculator you may need to know that $\\text{height}^2=\\text{height}\\times\\text{height}$ and you would have to do a few separate calculations one after the other, or you could do $(\\var{mass}\\div\\var{height/100})\\div\\var{height/100}$.</li>\n</ul>"}], "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{bmi}", "maxValue": "{bmi}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "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/"}]}