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Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a scale drawings test answer key? Then this answer key gives the solutions and the scoring guide of the Grade 7 test on Scale Drawings: Lengths, Areas and Scale Factors. Award points as marked. Give credit for equivalent methods, such as a proportion or direct multiplication, and deduct only the units point when a correct number is missing its unit in a one-point part.
Standards: 7.G.A.1 · Level: Grade 7
Question 1 Applying a Scale (2 points)
- 3.5 × 12 = 42 ft.
- 66 ÷ 12 = 5.5 in.
Scoring: 1 point per part.
Question 2 A Fractional Scale (2 points)
4.5 in is 9 half-inches, and each half-inch is 3 ft, so 9 × 3 = 27 ft.
Scoring: 1 point for a correct setup, 1 point for the result with units.
Question 3 Distance on a Map (3 points)
- 3.2 × 35 = 112 miles.
- 112 ÷ 56 = 2 hours.
- 140 ÷ 35 = 4 inches.
Scoring: 1 point per part.
Question 4 Drawing of a Deck (3 points)
- 4.5 × 5 = 22.5 and 2 × 5 = 10: 22.5 ft by 10 ft.
- 22.5 × 10 = 225 sq ft.
- Drawing area: 4.5 × 2 = 9 sq in. Then 9 × 25 = 225, which matches.
Scoring: 1 point per part.
Question 5 Two Scales (3 points)
- 30 ÷ 6 = 5 in.
- 30 ÷ 15 = 2 in.
- 2 ÷ 5 = 0.4 (or 25), which is 6 ÷ 15.
Scoring: 1 point per part.
Question 6 Model Sailboat (2 points)
36 ft = 36 × 12 = 432 in. Model length: 432 ÷ 20 = 21.6 in.
Scoring: 1 point for converting to inches, 1 point for dividing by 20.
Question 7 Patio Cost (3 points)
- 3 × 3 = 9 sq ft.
- 20 × 9 = 180 sq ft.
- 180 × 6.25 = $1,125.
Scoring: 1 point per part.
Question 8 Redraw a Bed (2 points)
Actual: 1.5 × 4 = 6 ft wide and 2 × 4 = 8 ft long. New drawing: 6 ÷ 2 = 3 in and 8 ÷ 2 = 4 in.
3 in wide by 4 in long
Scoring: 1 point for the actual size, 1 point for the new drawing.