Subscribe

7th grade · Math · Unit 15 of 15

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.

Minnesota K-12 Academic Standards benchmark: 7.2.4.4; 7.2.4.3 · scale drawings and scale factors

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 Minnesota

In the Minnesota K-12 Academic Standards, this is unit 15 of 15 in 7th grade Math, after Proportional Relationships.

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: Minnesota Department of Education (MDE)

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

    A room is drawn as a 3 in by 5 in rectangle. The scale is 1 in = 2 ft. What is the real area?

    • 15 ft²
    • 57 ft²
    • 60 ft²
    • 30 ft²

  2. Question 2

    A drawing at 1 cm = 2 m shows a fence 14 cm long. It is redrawn at 1 cm = 4 m. How long is the fence on the new drawing?

    • 28 cm
    • 7 cm
    • 14 cm
    • 4 cm

  3. Question 3

    On a map, 1 cm stands for 6 m. A path is 7 cm long on the map. How long is it really?

    • 42 m
    • 41 m
    • 48 m
    • 13 m

  4. Question 4

    A scale drawing uses 1 in = 4 ft. A wall is 24 ft long. How long is it on the drawing?

    • 3 in
    • 96 in
    • 6 in
    • 7 in

  5. Question 5

    A room is drawn as a 2 in by 6 in rectangle. The scale is 1 in = 5 ft. What is the real area?

    • 300 ft²
    • 301 ft²
    • 60 ft²
    • 12 ft²

  6. Question 6

    A drawing at 1 cm = 5 m shows a fence 12 cm long. It is redrawn at 1 cm = 10 m. How long is the fence on the new drawing?

    • 3 cm
    • 12 cm
    • 6 cm
    • 24 cm

More 7th grade