7th Grade Scale Drawings Test Solutions and Scoring (PDF)

7th Grade math test solutions: Scale Drawings – Maths PDF

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This scale drawings test answers for 7th Grade covers scale drawings (Common Core 7.G.A.1), with a free PDF to print.

Use this answer key and scoring guide to grade the scale drawings test. Each solution shows the full work, and the scoring note explains how the points are awarded. Give partial credit for correct steps even when the final answer is wrong.

Grade 7 · Common Core State Standards: 7.G.A.1

Scale drawings test answers: worked solutions

Question 1 – Actual length [2 pts]

$3.5\times 12=42$

42 feet

Scoring: 1 point for the rate; 1 point for 42 feet.

Question 2 – Find the scale [2 pts]

$60\div 4=15$, so 1 in = 15 mi.

$6.5\times 15=97.5$

1 in = 15 mi; 97.5 miles

Scoring: 1 point for the scale; 1 point for the distance.

Question 3 – Floor plan [2 pts]

$3.5 \times 8 = 28$ ft and $2 \times 8 = 16$ ft.

$28 \times 16 = 448$

28 ft by 16 ft; 448 square feet

Scoring: 1 point for both dimensions; 1 point for the area.

Question 4 – Fraction scale [2 pts]

1 in = 6 ft.

$2.5\times 6=15$

15 feet

Scoring: 1 point for the unit rate; 1 point for the answer.

Question 5 – Scale factor [2 pts]

8 ft = 96 in.

$1 : 96$

1 : 96

Scoring: 1 point for converting units; 1 point for the ratio.

Question 6 – Area [2 pts]

Each square inch is $2\times 2=4$ square feet.

$8\times 4=32$ square feet.

Area depends on two lengths, so the factor is squared.

32 square feet

Scoring: 1 point for the area; 1 point for the explanation.

Question 7 – Redraw at a new scale [2 pts]

$7.5\times 4=30$ ft.

$30\div 6=5$

5 inches

Scoring: 1 point for the actual length; 1 point for the new length.

Question 8 – Patio [3 pts]

$5\times 4=20$ ft and $3\times 4=12$ ft.
$20\times 12=240$ sq ft; $2(20+12)=64$ ft.
$240\times 4.50=1080$, so $1,080.

Summary.

Scoring: 1 point for each part.

Question 9 – Two drawings [3 pts]

$12\div 2=6$ in.
$12\div 3=4$ in.
$6\div 4=1.5$ times as long.

Completed table.

Scoring: 1 point for each part.

Total score

Total

20 points

Key facts behind this scale drawings test answers

Key facts

The scale is a rate: $1 in = 5 ft$ means 5 feet per 1 inch.
Actual length = drawing length * rate; drawing length = actual length ÷ rate.
Scale factor compares drawing length to actual length in the same units.
Actual area = drawing area * (rate)^2.
To change scales, find actual lengths first, then divide by the new rate.

How to use this scale drawings test answers

Score your test with the point values shown for each question. Then read the worked solution of every question where you lost points and note the method to review.

All Grade 7 chapters: Grade 7 math.

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