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7th grade · Math · Unit 17 of 17

Scale Drawings

Maps and floor plans

What your child practices

Finding real lengths and areas from a scale drawing or map, and redrawing at a different scale.

Washington State Learning Standards learning standard: M.7.Q.G.1 · solving problems with scale drawings, including actual lengths and areas and reproducing a drawing at a different scale

How we explain it

Children can open this short lesson before they practice.

  1. The scale tells how a drawing length matches a real length.
  2. Multiply by the scale to find real lengths.
  3. Find real side lengths first, then the real area.

Example: On a map, 1 cm stands for 5 m. A path is 7 cm. How long is it really? 7 × 5 = 35. Answer: 35 m

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    On a map, 1 cm stands for 10 m. A path is 7 cm long on the map. How long is it really?

    • 73 m
    • 17 m
    • 80 m
    • 70 m

  2. Question 2

    A scale drawing uses 1 in = 2 ft. A wall is 16 ft long. How long is it on the drawing?

    • 8 in
    • 32 in
    • 7 in
    • 9 in

  3. Question 3

    A room is drawn as a 2 in by 4 in rectangle. The scale is 1 in = 10 ft. What is the real area?

    • 8 ft²
    • 797 ft²
    • 800 ft²
    • 80 ft²

  4. Question 4

    A drawing at 1 cm = 2 m shows a fence 6 cm long. It is redrawn at 1 cm = 4 m. How long is the fence on the new drawing?

    • 5 cm
    • 6 cm
    • 3 cm
    • 12 cm

  5. Question 5

    A scale drawing uses 1 in = 2 ft. A wall is 8 ft long. How long is it on the drawing?

    • 7 in
    • 5 in
    • 16 in
    • 4 in

  6. Question 6

    On a map, 1 in stands for 9 ft. A path is 3 in long on the map. How long is it really?

    • 36 ft
    • 26 ft
    • 27 ft
    • 12 ft

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