Scale Factors, Maps & Direct Proportion (Year 7)
Free printable UK Year 7 (Key Stage 3) maths worksheet: scale factors, scale diagrams, map distances, and direct proportion by the unitary method.
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Grade 6 · Math worksheet
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Math
Scale Factors, Maps & Direct Proportion
Find the missing length, distance or amount. Use a scale factor for enlargements, the map scale for distances, and the unitary method (find the amount for ONE, then scale up) for the recipe problems.
- 1.A shape has a side of length 8 cm. It is enlarged by a scale factor of 6. What is the length of the matching side on the enlarged shape?
- 2.A shape has a side of length 3 cm. It is enlarged by a scale factor of 3. What is the length of the matching side on the enlarged shape?
- 3.A shape has a side of length 2 cm. It is enlarged by a scale factor of 4. What is the length of the matching side on the enlarged shape?
- 4.A shape has a side of length 3 cm. It is enlarged by a scale factor of 4. What is the length of the matching side on the enlarged shape?
- 5.A photo 6 cm wide is enlarged to 12 cm wide. What scale factor was used?
- 6.A photo 6 cm wide is enlarged to 36 cm wide. What scale factor was used?
- 7.A photo 8 cm wide is enlarged to 40 cm wide. What scale factor was used?
- 8.A map has a scale of 1 cm to 20 km. Two towns are 3 cm apart on the map. What is the real distance between them?
- 9.A map has a scale of 1 cm to 2 km. Two towns are 5 cm apart on the map. What is the real distance between them?
- 10.A map has a scale of 1 cm to 2 km. Two towns are 2 cm apart on the map. What is the real distance between them?
- 11.A map has a scale of 1 cm to 9 km. Two towns are 36 km apart in real life. How far apart are they on the map?
- 12.A map has a scale of 1 cm to 13 km. Two towns are 65 km apart in real life. How far apart are they on the map?
- 13.A map has a scale of 1 cm to 5 km. Two towns are 10 km apart in real life. How far apart are they on the map?
- 14.A recipe for 7 servings of pancakes needs 322 g of flour. How much flour is needed for 21 servings?
- 15.A recipe for 3 servings of pancakes needs 177 g of flour. How much flour is needed for 2 servings?
- 16.A recipe for 4 servings of pancakes needs 108 g of flour. How much flour is needed for 2 servings?
- 17.A recipe for 2 servings of lemonade needs 34 ml of lemon juice. How much lemon juice is needed for 1 servings?
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