// Numbas version: exam_results_page_options {"name": "MG Granny flat scale drawing (6)", "extensions": [], "custom_part_types": [], "resources": [["question-resources/granny_flat_plan_300_7ba0oVH.png", "/srv/numbas/media/question-resources/granny_flat_plan_300_7ba0oVH.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "MG Granny flat scale drawing (6)", "tags": ["LANTITE", "Western Sydney MESH"], "metadata": {"description": "

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. A diagram of a granny flat is shown, and one multiple choice question asked. There are six potential questions (scenarios).

", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "
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Percentage of grade 6 pupils reaching reading proficiency levels— Southern and Eastern Africa Consortium for Monitoring Educational Percentage of grade 6 pupils reaching reading proficiency levels— Southern and Eastern Africa Consortium for Monitoring Educational 
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The plan below shows a granny flat which has been drawn to scale.

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https://www.mcdonaldjoneshomes.com.au/home-design/granny-flats#home-design-floor-plan

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Specific Advice:

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{advice}

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The third incorrect answer (distractor) for the randomly chosen scenario.

", "templateType": "anything", "can_override": false}, "correctanswer": {"name": "correctanswer", "group": "Ungrouped variables", "definition": "scenario[\"answer\"]", "description": "
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The correct answer for the randomly chosen scenario.

", "templateType": "anything", "can_override": false}, "wrong1": {"name": "wrong1", "group": "Ungrouped variables", "definition": "scenario[\"distractor1\"]", "description": "
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The first incorrect answer (distractor) for the randomly chosen scenario.

", "templateType": "anything", "can_override": false}, "scenarios": {"name": "scenarios", "group": "Ungrouped variables", "definition": "json_decode(safe(\"[\\n {\\n \\\"question\\\":\\\"The length of the actual granny flat is 10.55 m. On the plan, the length of the granny flat is 211 mm. What is the scale of the plan?\\\",\\n \\\"answer\\\":\\\"1:50\\\",\\n \\\"distractor1\\\":\\\"1:500\\\",\\n \\\"distractor2\\\":\\\"1:20\\\",\\n \\\"distractor3\\\":\\\"1:200\\\",\\n \\\"feedback\\\":\\\"Convert 10.55 m to mm by multiplying by 1000.
10.55 x 1000 = 10 550.
So the granny flat length is 10 550 mm and the plan length is 211 mm.
Then divide 10 550mm by 211 mm.
10 550 \u00f7 211 = 50.
In other words, using ratios 211 mm : 10.55 m = 211:10550 = 1:50
Therefore the scale is 1:50.\\\"\\n },\\n {\\n \\\"question\\\":\\\"The width of the granny flat is 6.8 m. On the plan, the width of the granny flat is 170 mm. What is the scale of the plan?\\\",\\n \\\"answer\\\":\\\"1:40\\\",\\n \\\"distractor1\\\":\\\"1:400\\\",\\n \\\"distractor2\\\":\\\"1:25\\\",\\n \\\"distractor3\\\":\\\"1:250\\\",\\n \\\"feedback\\\":\\\"Convert 6.8 m to mm by multiplying by 1000.
6.8 x 1000 = 6 800.
So the granny flat width is 6 800 mm and the plan width is 170 mm.
Then divide 6 800 mm by 170 mm.
6 800 \u00f7 170 = 40.
In other words, using ratios 170 mm : 6.8 m = 170:6 800 = 1:40
Therefore the scale is 1:40.\\\"\\n },\\n {\\n \\\"question\\\":\\\"The kitchen is 3.4 metres long. How long will it be on the plan if the scale is 1:50?\\\",\\n \\\"answer\\\":\\\"68 mm\\\",\\n \\\"distractor1\\\":\\\"68 cm\\\",\\n \\\"distractor2\\\":\\\"170 mm\\\",\\n \\\"distractor3\\\":\\\"1.7 cm\\\",\\n \\\"feedback\\\":\\\"The kitchen is 3.4 metres long.
In millimetres that is 3.4 x 1 000 = 3 400 mm.
Every 50 mm on the granny flat is represented by 1mm on the plan.
3 400 \u00f7 50 = 68.
The kitchen will be 68 mm long on the plan.\\\"\\n },\\n {\\n \\\"question\\\":\\\"The alfresco cabana is 4.8 metres long. How long will it be on the plan if the scale is 1:30?\\\",\\n \\\"answer\\\":\\\"16 cm\\\",\\n \\\"distractor1\\\":\\\"16 mm\\\",\\n \\\"distractor2\\\":\\\"62.5 mm\\\",\\n \\\"distractor3\\\":\\\"62.5 cm\\\",\\n \\\"feedback\\\":\\\"The alfresco cabana is 4.8 metres long. In millimetres that is 4.8 x 1 000 = 4 800 mm.
Every 30 mm on the granny flat is represented by 1 mm on the plan.
4 800 \u00f7 30 = 160.
The cabana will be 160 mm long on the plan.
Converting that to cm by dividing by 10 gives 16 cm.\\\"\\n },\\n {\\n \\\"question\\\":\\\"The scale for this plan is 1:60. Bedroom 1 measures 52 mm long on the plan. How long is Bedroom 1 in the actual granny flat?\\\",\\n \\\"answer\\\":\\\"3.1 m\\\",\\n \\\"distractor1\\\":\\\"31.2 cm\\\",\\n \\\"distractor2\\\":\\\"870 mm\\\",\\n \\\"distractor3\\\":\\\"8 700 mm\\\",\\n \\\"feedback\\\":\\\"52 mm x 60 = 3 120 mm.
Dividing this by 1 000 to convert to metres gives 3 120 \u00f7 1 000 = 3.12 m.
The closest answer to this is 3.1 m.
Remember that a measurement from a scale drawing may be slightly inaccurate.\\\"\\n },\\n {\\n \\\"question\\\":\\\"The scale for this plan is 1:40. Bedroom 1 measures 70 mm long on the plan. In the actual granny flat, Bedroom 2 is 60 cm shorter than Bedroom 1. How long is Bedroom 2 in the actual granny flat?\\\",\\n \\\"answer\\\":\\\"2.2 m\\\",\\n \\\"distractor1\\\":\\\"2.8 m\\\",\\n \\\"distractor2\\\":\\\"6 m\\\",\\n \\\"distractor3\\\":\\\"4 m\\\",\\n \\\"feedback\\\":\\\"Bedroom 1 on the plan measures 70 mm long, and the scale is 1:40.
Therefore Bedroom 1 in the actual granny flat measures 70 x 40 = 2 800 mm.
Converting this to metres by dividing by 1 000 gives 2.8 m.
Bedroom 2 is 60 cm or 0.6 m shorter than Bedroom 1.
2.8 m - 0.6 m = 2.2 m.
Bedroom 2 in the granny flat is 2.2 m long.\\\"\\n }\\n]\"))", "description": "
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The question statement, correct answer and three distractors for each of the seven possible questions.

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The second incorrect answer (distractor) for the randomly chosen scenario.

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The randomly chosen scenario, consisting of question statement, correct answer, and three distractors.

", "templateType": "anything", "can_override": false}, "questionwording": {"name": "questionwording", "group": "Ungrouped variables", "definition": "scenario[\"question\"]", "description": "
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The question statement for the randomly chosen scenario.

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The custom advice (feedback) for the selected scenario question.

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{questionwording}

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