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7th grade · Math · Unit 16 of 20

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.

New York State Learning Standards learning standard: NY-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 New York

In the New York State Learning Standards, this is unit 16 of 20 in 7th grade Math, after Angle Relationships and before Rewriting Expressions.

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: New York State Education Department (NYSED)

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 9 m. A path is 12 cm long on the map. How long is it really?

    • 108 m
    • 21 m
    • 117 m
    • 109 m

  2. Question 2

    A drawing at 1 cm = 5 m shows a fence 8 cm long. It is redrawn at 1 cm = 10 m. How long is the fence on the new drawing?

    • 4 cm
    • 8 cm
    • 16 cm
    • 1 cm

  3. Question 3

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

    • 33 ft²
    • 16 ft²
    • 8 ft²
    • 32 ft²

  4. Question 4

    A scale drawing uses 1 in = 4 ft. A wall is 28 ft long. How long is it on the drawing?

    • 7 in
    • 112 in
    • 4 in
    • 8 in

  5. Question 5

    A scale drawing uses 1 in = 10 ft. A wall is 110 ft long. How long is it on the drawing?

    • 1100 in
    • 12 in
    • 8 in
    • 11 in

  6. Question 6

    On a map, 1 in stands for 12 ft. A path is 2 in long on the map. How long is it really?

    • 21 ft
    • 36 ft
    • 14 ft
    • 24 ft

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