Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students need to read the speed of the given object from the table, then convert from m/s to km/h. There are 7 objects, and hence 7 different possible questions.
", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "The formula given below can be used to convert any speed in metres per second to the equivalent speed in kilometres per hour.
\n$\\text{Speed (km/h)}=\\displaystyle{\\frac{3600 \\times \\text{speed (m/s)}}{1000}}$
\nThe table below gives the average speed of a variety of moving objects in metres per second (m/s).
\n\n| Moving object | \nSpeed (m/s) | \n
| snail gliding | \n0.01 | \n
| tortoise walking | \n0.12 | \n
| person jogging | \n3.2 | \n
| horse galloping | \n13.7 | \n
| car cruising | \n26.4 | \n
| cheetah running | \n28.3 | \n
| aeroplane cruising | \n220 | \n
The {thing} is {moving} at a speed of {speed} m/s.
\n\\begin{align} \\text{Speed (km/h)}&=\\displaystyle{\\frac{3600 \\times \\text{speed (m/s)}}{1000}}\\\\[2ex]&=\\frac{3600 \\times \\var{speed}}{1000} \\\\[2ex]&= \\var{3.6*speed} \\text{ km/h}\\end{align}
\nRounded to one decimal place, the {thing} is {moving} at a speed of {dpformat(3.6*speed,1)} km/h.
\nAs this is already a whole number, it does not require rounding. The {thing} is {moving} at a speed of {3.6*speed} km/h.
", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"Scenarios": {"name": "Scenarios", "group": "Ungrouped variables", "definition": "json_decode(safe(\"[\\n{\\\"object\\\":\\\"snail\\\", \\\"motion\\\":\\\"gliding\\\", \\\"mps\\\":0.01,\\\"pron\\\":\\\"it travels\\\",\\\"pron1\\\":\\\"its\\\"},\\n{\\\"object\\\":\\\"horse\\\",\\\"motion\\\":\\\"galloping\\\", \\\"mps\\\":13.7,\\\"pron\\\":\\\"it travels\\\",\\\"pron1\\\":\\\"its\\\"},\\n{\\\"object\\\":\\\"car\\\",\\\"motion\\\":\\\"cruising\\\",\\\"mps\\\":26.4,\\\"pron\\\":\\\"it travels\\\",\\\"pron1\\\":\\\"its\\\"},\\n{\\\"object\\\":\\\"cheetah\\\",\\\"motion\\\":\\\"running\\\",\\\"mps\\\":28.3,\\\"pron\\\":\\\"it travels\\\",\\\"pron1\\\":\\\"its\\\"},\\n{\\\"object\\\":\\\"person\\\",\\\"motion\\\":\\\"jogging\\\",\\\"mps\\\":3.2,\\\"pron\\\":\\\"they travel\\\",\\\"pron1\\\":\\\"their\\\"},\\n{\\\"object\\\":\\\"tortoise\\\",\\\"motion\\\":\\\"walking\\\",\\\"mps\\\":0.12,\\\"pron\\\":\\\"it travels\\\",\\\"pron1\\\":\\\"its\\\"},\\n{\\\"object\\\":\\\"aeroplane\\\",\\\"motion\\\":\\\"cruising\\\",\\\"mps\\\":220,\\\"pron\\\":\\\"it travels\\\",\\\"pron1\\\":\\\"its\\\"}\\n]\"))", "description": "The list of all possible scenarios. It includes the data in the table and the gramatically correct pronoun/verb combination.
", "templateType": "json", "can_override": false}, "scenario": {"name": "scenario", "group": "Ungrouped variables", "definition": "random(scenarios)", "description": "The randomly selected scenario.
", "templateType": "anything", "can_override": false}, "thing": {"name": "thing", "group": "Ungrouped variables", "definition": "scenario[\"object\"]", "description": "The selected item from the table.
", "templateType": "anything", "can_override": false}, "speed": {"name": "speed", "group": "Ungrouped variables", "definition": "scenario[\"mps\"]", "description": "The speed of the selected item from the table.
", "templateType": "anything", "can_override": false}, "pronoun": {"name": "pronoun", "group": "Ungrouped variables", "definition": "scenario[\"pron\"]", "description": "The correct pronoun/verb combination for the selected item from the table.
", "templateType": "anything", "can_override": false}, "moving": {"name": "moving", "group": "Ungrouped variables", "definition": "scenario[\"motion\"]", "description": "The correct term for the motion, relative to the selected object.
", "templateType": "anything", "can_override": false}, "pronoun2": {"name": "pronoun2", "group": "Ungrouped variables", "definition": "scenario[\"pron1\"]", "description": "'its' for animals and 'their' for the person. Used in Advice.
", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["Scenarios", "scenario", "thing", "speed", "pronoun", "moving", "pronoun2"], "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": "What is the average speed of the {thing}, in kilometres per hour (km/h)?
\nGive your answer rounded to one decimal place.
\nThe {thing}'s speed is [[0]]km/h.
", "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": "precround(3.6*speed,1)", "maxValue": "precround(3.6*speed,1)", "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": "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/"}]}