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Similar Shapes & Enlargement (Year 9)

Free printable UK Year 9 (Key Stage 3) maths worksheet: find missing lengths and scale factors for similar shapes and enlargements.

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Grade 8 · Math worksheet
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Similar Shapes & Enlargement

Use the scale factor to find missing lengths, or find the scale factor from a pair of similar shapes.

  1. 1.
    Shape B is an enlargement of shape A with scale factor 4. A side of shape A is 12 cm. Find the corresponding side of shape B.
  2. 2.
    Shape B is an enlargement of shape A with scale factor 4. A side of shape A is 6 cm. Find the corresponding side of shape B.
  3. 3.
    Shape B is an enlargement of shape A with scale factor 2. A side of shape A is 9 cm. Find the corresponding side of shape B.
  4. 4.
    Shape A has a side of 7 cm. The corresponding side of similar shape B is 14 cm. Find the scale factor of the enlargement from A to B.
  5. 5.
    Shape A has a side of 6 cm. The corresponding side of similar shape B is 24 cm. Find the scale factor of the enlargement from A to B.
  6. 6.
    Shape A has a side of 5 cm. The corresponding side of similar shape B is 15 cm. Find the scale factor of the enlargement from A to B.
  7. 7.
    Shape B is an enlargement of shape A with scale factor 2. A side of shape B is 14 cm. Find the corresponding side of shape A.
  8. 8.
    Shape B is an enlargement of shape A with scale factor 2. A side of shape B is 10 cm. Find the corresponding side of shape A.
  9. 9.
    Shape A has a perimeter of 26 cm. Shape B is an enlargement of shape A with scale factor 3. Find (a) the perimeter of shape B, and (b) the factor by which the AREA scales.
  10. 10.
    Shape A has a perimeter of 28 cm. Shape B is an enlargement of shape A with scale factor 3. Find (a) the perimeter of shape B, and (b) the factor by which the AREA scales.
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