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{"name": "MG NC Capacity problem involving unit conversion (7)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "MG NC Capacity problem involving unit conversion (7)", "tags": ["LANTITE", "Western Sydney MESH"], "metadata": {"description": "<p>Used for LANTITE preparation (Australia). MG = Measurement &amp; Geometry strand. NC = Non Calculator.&nbsp;Students are asked to determine how many 5mL&nbsp;teaspoon measures would fill a container with volume given in litres&nbsp;There are seven different volumes.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<div id=\"MathJax_Message\" style=\"display: none;\"></div>\n<p>A standard teaspoon holds 5 mL of liquid.</p>", "advice": "<p>Here is one way of solving this problem:</p>\n<p>There are 1000 mL in 1 litre.</p>\n<p>1000 mL divided by 5 mL gives 200. So there are 200 teaspoons in each litre.</p>\n<p>Multiply the number of litres by 200 to get the number of teaspoons in the whole amount.</p>\n<p>{num_litres} x 200 = {num_litres*200}.</p>\n<p></p>\n<p>For questions of this kind, if you are not using a calculator, it may be helpful to use some of the following proportional reasoning:</p>\n<p>1 teaspoon = 5 millilitres, therefore</p>\n<p>50 teaspoons= 250 millilitres or 0.25 litre (one quarter of a litre), and</p>\n<p>100 teaspoons= 500 millilitres or 0.5 litre (half a litre), and</p>\n<p>200 teaspoons = 1000 millilitres or 1 litre.</p>\n<p>You can then use a combination of these to get the whole amount.</p>\n<p></p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"num_litres": {"name": "num_litres", "group": "Ungrouped variables", "definition": "random(1.25 .. 2.75#0.25)", "description": "<p>This is the number of litres.</p>", "templateType": "randrange", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["num_litres"], "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": "<div id=\"MathJax_Message\" style=\"display: none;\">How many teaspoons are in&nbsp;{num_litres} litres?How many teaspoons are in&nbsp;{num_litres} litres?How many teaspoons are in&nbsp;{num_litres} litres?How many teaspoons are in&nbsp;{num_litres} litres?How many teaspoons are in&nbsp;{num_litres} litres?How many teaspoons are in&nbsp;{num_litres} litres?</div>\n<p>How many teaspoons of liquid are in&nbsp;{num_litres} litres?</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["$\\var{num_litres*5}$", "$\\var{num_litres*100/5}$", "$\\var{10*num_litres/5}$", "$\\var{1000*num_litres/5}$"], "matrix": [0, 0, 0, "1"], "distractors": ["How many teaspoons would make up 1 litre? Click on Reveal Answers and scroll down for Advice regarding this question.", "How many mL are there in 1 litre? Click on Reveal Answers and scroll down for Advice regarding this question.", "How many teaspoons would make up 1 litre? Click on Reveal Answers and scroll down for Advice regarding this question.", "Well done!"]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Don Shearman", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/680/"}, {"name": "Adelle Colbourn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2083/"}]}]}], "contributors": [{"name": "Don Shearman", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/680/"}, {"name": "Adelle Colbourn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2083/"}]}