Use length, area and volume scale factors
10th grade (Year 11 in England) · 16 questions · Common Core: HSG.GMD.A.3, 7.G.A.1 · England: GCSE Higher Geometry
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Question 1
A model car is built to a length scale of 1 : 4 compared with a bigger model. The small model holds 22 cm³ of paint inside its body. How much would the bigger model hold?
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Question 2
Two similar shapes have lengths in the ratio 1 : 2. The smaller has area 21 cm². What is the area of the larger?
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Question 3
Two similar jugs have surface areas in the ratio 1 : 4. The smaller jug holds 3 ml. How much does the larger jug hold?
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Question 4
A model car is built to a length scale of 1 : 3 compared with a bigger model. The small model holds 13 cm³ of paint inside its body. How much would the bigger model hold?
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Question 5
Two similar shapes have lengths in the ratio 1 : 2. The smaller has area 29 cm². What is the area of the larger?
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Question 6
Two similar jugs have surface areas in the ratio 4 : 9. The smaller jug holds 32 ml. How much does the larger jug hold?
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Question 7
A model car is built to a length scale of 1 : 4 compared with a bigger model. The small model holds 17 cm³ of paint inside its body. How much would the bigger model hold?
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Question 8
Two similar shapes have lengths in the ratio 1 : 2. The smaller has area 14 cm². What is the area of the larger?
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Question 9
Two similar jugs have surface areas in the ratio 9 : 16. The smaller jug holds 81 ml. How much does the larger jug hold?
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Question 10
A model car is built to a length scale of 1 : 3 compared with a bigger model. The small model holds 12 cm³ of paint inside its body. How much would the bigger model hold?
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Question 11
Two similar shapes have lengths in the ratio 1 : 5. The smaller has area 26 cm². What is the area of the larger?
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Question 12
Two similar jugs have surface areas in the ratio 1 : 4. The smaller jug holds 3 ml. How much does the larger jug hold?
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Question 13
A model car is built to a length scale of 1 : 3 compared with a bigger model. The small model holds 8 cm³ of paint inside its body. How much would the bigger model hold?
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Question 14
Two similar shapes have lengths in the ratio 1 : 4. The smaller has area 11 cm². What is the area of the larger?
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Question 15
Two similar jugs have surface areas in the ratio 1 : 4. The smaller jug holds 2 ml. How much does the larger jug hold?
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Question 16
A model car is built to a length scale of 1 : 2 compared with a bigger model. The small model holds 32 cm³ of paint inside its body. How much would the bigger model hold?
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