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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.

Alaska content standards learning standard: 7.G.1 · solving problems with scale drawings, including actual lengths and areas

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

Scale Drawings in Alaska

In the Alaska content standards, this is unit 17 of 17 in 7th grade Math, after Samples & Populations.

Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.

Source: Alaska Department of Education and Early Development

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 in stands for 8 ft. A path is 9 in long on the map. How long is it really?

    • 71 ft
    • 17 ft
    • 72 ft
    • 80 ft

  2. Question 2

    A scale drawing uses 1 in = 2 ft. A wall is 12 ft long. How long is it on the drawing?

    • 6 in
    • 4 in
    • 24 in
    • 7 in

  3. Question 3

    A room is drawn as a 3 in by 5 in rectangle. The scale is 1 in = 3 ft. What is the real area?

    • 135 ft²
    • 132 ft²
    • 45 ft²
    • 15 ft²

  4. Question 4

    A drawing at 1 cm = 5 m shows a fence 6 cm long. It is redrawn at 1 cm = 10 m. How long is the fence on the new drawing?

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

  5. Question 5

    A scale drawing uses 1 in = 4 ft. A wall is 8 ft long. How long is it on the drawing?

    • 3 in
    • 32 in
    • 2 in
    • 1 in

  6. Question 6

    A room is drawn as a 4 in by 5 in rectangle. The scale is 1 in = 10 ft. What is the real area?

    • 1998 ft²
    • 200 ft²
    • 2000 ft²
    • 20 ft²

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