Scale factors – Hard

Last updated: 23/01/2020
OCR GCSE Maths – Foundation Congruence and Similarity Scale factors – Hard
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  1. A line is enlarged by a scale factor of 1/5. If the original length of one side is 237.9m, what is the new length?

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  2. A cube is enlarged by a scale factor of 2.47. If the original length of one side is 7cm, what is the new length?

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  3. A line is enlarged by an unknown scale factor. One of the sides original lengths was 65mm and the new length is 208cm. What is the scale factor?

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  4. A square has an area of 12mm and is enlarged by an unknown scale factor. If the new area is 30cm, what is the area scale factor?

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  5. A trapezium is enlarged by a scale factor of 1/4. If the original length of one side is 252cm, what is the new length?

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  6. A hexagon is enlarged by an unknown scale factor. One of the sides original lengths was 59mm and the new length is 11.8cm. What is the scale factor?

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  7. The volume scale factor of a shape is 27, what is the length scale factor?

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  8. The volume scale factor of a shape is 8, what is the area scale factor?

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  9. A pentagon is enlarged by an unknown scale factor. One of the sides original lengths was 92cm and the new length is 3864mm. What is the scale factor?

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  10. A triangle is enlarged by a scale factor of 5.12. If the original length of one side is 6cm, what is the new length?

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  11. A rectangle is enlarged by a scale factor of 9.33. If the original length of one side is 42cm, what is the new length?

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  12. A kite is enlarged by an unknown scale factor. One of the sides original lengths was 8.6cm and the new length is 258mm. What is the scale factor?

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  13. The volume scale factor of a shape is 42.875, what is the length scale factor?

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  14. The volume scale factor of a shape is 27, what is the area scale factor?

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  15. A shape is enlarged by an unknown scale factor. One of the sides original lengths was 36cm and the new length is 2664mm. What is the scale factor?

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  16. A rectangle is enlarged by an unknown scale factor. One of the sides original lengths was 52cm and the new length is 286cm. What is the scale factor?

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  17. A cube is enlarged by a scale factor of 7.8. If the original length of one side is 19cm, what is the new length?

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  18. The volume scale factor of a shape is 64, what is the area scale factor?

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  19. A shape is enlarged by an unknown scale factor. One of the sides original lengths was 20cm and the new length is 1112mm. What is the scale factor?

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  20. A line is enlarged by a scale factor of 1/5. If the original length of one side is 240mm, what is the new length?

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  21. A rectangle is enlarged by a scale factor of 5.4. If the original length of one side is 24cm, what is the new length?

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  22. A triangle is enlarged by an unknown scale factor. One of the sides original lengths was 45cm and the new length is 279cm. What is the scale factor?

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  23. A line is enlarged by a scale factor of 1/4. If the original length of one side is 73.54mm, what is the new length?

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  24. A parallelogram is enlarged by a scale factor of 8.38. If the original length of one side is 13cm, what is the new length?

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  25. An octagon is enlarged by an unknown scale factor. One of the sides original lengths was 78mm and the new length is 35.1cm. What is the scale factor?

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