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{"name": "MG Volume of two flowerpots (8)", "extensions": [], "custom_part_types": [], "resources": [["question-resources/pots_double_400.png", "/srv/numbas/media/question-resources/pots_double_400.png"], ["question-resources/pots_triple_400.png", "/srv/numbas/media/question-resources/pots_triple_400.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "MG Volume of two flowerpots (8)", "tags": ["LANTITE", "Western Sydney MESH"], "metadata": {"description": "<p>Used for LANTITE preparation (Australia). MG = Measurement &amp; Geometry strand.&nbsp;Two cube-shaped flowerpots are shown, and their lengths given. The larger pot is either double or triple the length of the smaller pot. Students must work out the volume of the larger pot given the smaller one. There are eight potential questions.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>Mrs {name1} has a pot plant in her classroom. The pot is cube-shaped, with length {size1} cm. It took 1 bag of potting mix to fill it. She has another larger pot, which she wants to use as well. It is also a cube shape, with length {size2} cm.</p>\n<p>{image('resources/question-resources/'+pot_pic)}</p>\n<p></p>", "advice": "<p>This question is equivalent to working out how many times greater the volume of the larger pot is than the volume of the small pot.</p>\n<p>First, work out how many times longer the larger pot is.</p>\n<p>{size2} cm &divide;&nbsp;{size1} cm = {scalefactor}</p>\n<p>Then work out how many small pots would be needed to form a&nbsp;square with the same base area as&nbsp;the larger pot.</p>\n<p>{scalefactor} x&nbsp;{scalefactor} =&nbsp;{scalefactor*scalefactor} small pots are needed&nbsp;to form a&nbsp;square with the same base area as&nbsp;the larger pot.</p>\n<p>Next,&nbsp;decide&nbsp;how many layers of small pots would be required to reach the top of the larger pot.</p>\n<p>{scalefactor} layers would be required, as the larger pot is {scalefactor} times higher than the small pot.</p>\n<p>Finally, work out how many small pots would be needed to give the same volume as the larger pot.</p>\n<p>{scalefactor} layers x&nbsp;{scalefactor^2} small pots in each layer =&nbsp;{scalefactor^3} small pots</p>\n<p>Each small pot uses one bag of potting mix.</p>\n<p>So Mrs {name1} will need {scalefactor^3} bags of potting mix to fill the larger pot.</p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"names": {"name": "names", "group": "Ungrouped variables", "definition": "[ \"Green\", \"Lee\", \"Jackson\", \"Singh\", \"Obeid\", \"Nguyen\" ]", "description": "<p>The list of potential teachers' names.</p>", "templateType": "list of strings", "can_override": false}, "size1": {"name": "size1", "group": "Ungrouped variables", "definition": "random(20,25,30,35)", "description": "<p>The length of the smaller pot in centimetres.</p>", "templateType": "anything", "can_override": false}, "scalefactor": {"name": "scalefactor", "group": "Ungrouped variables", "definition": "random(2,3)", "description": "<p>The scale factor to determine the length of the larger pot.</p>", "templateType": "anything", "can_override": false}, "size2": {"name": "size2", "group": "Ungrouped variables", "definition": "size1*scalefactor", "description": "<p>The length of the larger pot in centimetres.</p>", "templateType": "anything", "can_override": false}, "name1": {"name": "name1", "group": "Ungrouped variables", "definition": "random(names)", "description": "<p>The teacher's name for the given question.</p>", "templateType": "anything", "can_override": false}, "images": {"name": "images", "group": "Ungrouped variables", "definition": "['pots_double_400.png','pots_triple_400.png']", "description": "<p>The list containing the two images - the first for scalefactor = 2 and the second for scalefactor = 3.</p>", "templateType": "anything", "can_override": false}, "pot_pic": {"name": "pot_pic", "group": "Ungrouped variables", "definition": "images[scalefactor-2]", "description": "<p>The image which corresponds to the scale factor for the question.</p>", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["names", "size1", "scalefactor", "size2", "name1", "images", "pot_pic"], "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>How many bags of potting mix will Mrs {name1} need to fill the larger pot?</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["{scalefactor^3}", "{scalefactor^2}", "{scalefactor}", "{size2-size1}"], "matrix": ["1", 0, 0, 0], "distractors": ["Well done - you are correct!", "Have you considered that we are working in three dimensions?", "Have you considered that we are working in three dimensions?", "How many times larger is the larger pot?"]}], "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/"}]}