Common Core 7.G.A.1 worksheet
7th grade (Year 8 in England) · 16 questions · Common Core: 7.G.A.1, HSG.GMD.A.3 · England: KS3 Ratio, GCSE Foundation Ratio, KS3 Geometry
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Question 1
A 8 m long room is drawn 8 cm long on a plan. The scale is 1 : n. What is n?
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Question 2
A 12 cm by 8 cm rectangle is enlarged by scale factor 4. What is the new width in cm?
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Question 3
On a drawing with scale 1 cm : 2 m, a path is 12 cm long. The drawing is redrawn with scale 1 cm : 8 m. How long is the path on the new drawing, in cm?
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Question 4
A floor plan uses a scale of 1 : 100. A wall is 4 cm long on the plan. How long is the real wall, in metres?
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Question 5
A plan has scale 1:500. A wall is 90 m long in real life. How long is it on the plan, in cm?
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Question 6
Two similar shapes have lengths in the ratio 1 : 4. The smaller has area 22 cm². What is the area of the larger?
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Question 7
A model car is built to a length scale of 1 : 2 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 8
A hiking map has scale 1 : 25 000. A trail measures 4 cm on the map. How long is the trail, in km?
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Question 9
On a map, 1 cm represents 10 km. Two towns are 4.5 cm apart on the map. How far apart are they really, in km?
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Question 10
Two similar jugs have surface areas in the ratio 1 : 9. The smaller jug holds 4 ml. How much does the larger jug hold?
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Question 11
On a map, 1 cm represents 2 km. Two towns are 12 cm apart on the map. How far apart are they really, in km?
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Question 12
Hana enlarges a scale drawing so every length is 5 times as long. Hana thinks the area will be 5 times as big. How many times as big is the area really?
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Question 13
A model uses 1 cm for every 10 m. A real bridge is 30 m long. How long is it on the model, in cm?
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Question 14
A side of 5 cm becomes 25 cm after an enlargement. What is the scale factor?
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Question 15
A rectangle on a plan is 5 cm by 2 cm. The scale is 1 cm : 3 m. What is the real area, in m²?
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Question 16
A 12 m long room is drawn 6 cm long on a plan. The scale is 1 : n. What is n?
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