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Basic Scale Factors Worksheet

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Basic Scale Factors Worksheet

A spacecraft’s blueprint uses scale factors to resize shapes and lengths. Multiply every corresponding length by the scale factor. Show your working and include units where needed.

Read the scale

Ruben and Ari are resizing parts of a spacecraft blueprint. Remember: a scale factor greater than 1 makes each length larger; a scale factor between 0 and 1 makes each length smaller.

1.The navigation panel is resized by a scale factor of 3. Is this an enlargement or a reduction?
  • Enlargement
  • Reduction
  • No change
2.Harrison scales a sensor icon by 0.4. What does this scale factor tell you about the new icon compared with the original?
3.Put these scale factors in order from smallest to largest: 1.5, 0.25, 1, 0.8.
00.20.40.60.811.21.41.61.82

Resize the spacecraft parts

For each part, multiply every original length by the stated scale factor. Keep the shape’s proportions the same.

4.A rectangular solar panel measures 5 cm by 4 cm on the blueprint. It is enlarged by a scale factor of 2. Find its new dimensions.
5.A cable is 15 m long. Calculate its length after multiplying by a scale factor of 0.2.
6.A triangular antenna has sides of 3 cm, 5 cm and 7 cm. The design is enlarged by a scale factor of 1.5. Give the three new side lengths.
7.A hatch is 8 cm wide on the original drawing and 12 cm wide on the updated drawing. Find the scale factor from the original to the updated drawing. Show a multiplication check.
8.A student says a 9 cm marking resized by a scale factor of 2 becomes 11 cm because they added 2. Explain the error and give the correct length.
9.The diameter of a viewing window is 10 cm on a plan. It is reduced by a scale factor of 0.6. What is its new diameter?
10.Draw a rectangle 3 cm long and 2 cm wide, then draw a copy using a scale factor of 2. Write the new dimensions.

2 printable pages

  • Basic Scale Factors Worksheet, page 1 of 2: Read the scale, Resize the spacecraft parts

    Page 1

  • Basic Scale Factors Worksheet, page 2 of 2: 5. A cable is 15 m long. Calculate its length after multiplying by a scale factor of 0.2.

    Page 2

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