7th Grade Scale Drawings Test with Point Values (PDF)

7th Grade math test: Scale Drawings – Maths PDF

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

This 45-minute test checks scale drawings, including finding actual lengths and areas, scale factors, and reproducing a drawing at a different scale (Common Core 7.G.A.1). It has 9 questions worth 20 points in all. Show your work, because most questions give partial credit for correct steps.

Time and points

About this test

Grade: Grade 7
Chapter: Scale Drawings
Standards: 7.G.A.1
Time: 45 minutes
Total: 20 points

Scale drawings test: questions

Question 1 – Actual length [2 pts]

A scale drawing of a school gym uses the scale 1 in = 12 ft. The gym is 3.5 in wide on the drawing. Find the actual width.

Question 2 – Find the scale [2 pts]

On a map, 4 inches stand for 60 miles.

Write the map’s scale as 1 in = ? mi. Then find the actual distance for 6.5 inches.

Question 3 – Floor plan [2 pts]

A library plan.

Find the actual length, width, and area of the library.

Question 4 – Fraction scale [2 pts]

A blueprint uses $\frac{1}{2}$ in = 3 ft. A deck is $2\frac{1}{2}$ in long on the blueprint. Find its actual length.

Question 5 – Scale factor [2 pts]

A drawing uses the scale 1 in = 8 ft. Write the scale factor as a ratio in the same units.

Question 6 – Area [2 pts]

A rug on a drawing has an area of 8 square inches. The scale is 1 in = 2 ft. Find the actual area, and explain why you do not multiply by 2.

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

A wall is 7.5 in long on a plan with scale 1 in = 4 ft. Find its length if the plan is redrawn with scale 1 in = 6 ft.

Question 8 – Patio [3 pts]

A patio plan.

Find the actual length and width. (1 point)
Find the actual area and perimeter. (1 point)
Pavers cost $4.50 per square foot. Find the cost to cover the patio. (1 point)

Question 9 – Two drawings [3 pts]

A 12-foot wall in two drawings.

Find the length of the 12-foot wall in drawing A. (1 point)
Find its length in drawing B. (1 point)
Find how many times as long the wall is in drawing A as in drawing B. (1 point)

Key facts behind this scale drawings test

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

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Grade 7 chapters: Grade 7 math.

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