Scale Drawings Test – Grade 7 Math (Printable PDF)

Question 1 Applying a Scale (2 points)

A drawing uses the scale 1 in = 12 ft.

1. A drawing length is 3.5 in. Find the actual length. (1 point)
2. An actual length is 66 ft. Find the length on the drawing. (1 point)

Question 2 A Fractional Scale (2 points)

A scale is 12 in = 3 ft. A wall measures 412 in on the drawing. Find its actual length.

Question 3 Distance on a Map (3 points)

The map segment shows two towns.

1. Find the actual distance. (1 point)
2. How long does the drive take at an average speed of 56 mph? (1 point)
3. A second route is 140 mi long. How long is it on the map? (1 point)

Question 4 Drawing of a Deck (3 points)

The drawing of a rectangular deck is shown.

1. Find the actual length and width. (1 point)
2. Find the actual area. (1 point)
3. Find the area of the drawing, then show that the actual area is the drawing area times 5². (1 point)

Question 5 Two Scales (3 points)

Drawing A uses 1 in = 6 ft and Drawing B uses 1 in = 15 ft. A wall is 30 ft long.

1. Find the wall’s length on Drawing A. (1 point)
2. Find the wall’s length on Drawing B. (1 point)
3. By what number must every length on Drawing A be multiplied to get Drawing B? (1 point)

Question 6 Model Sailboat (2 points)

A model sailboat is built at the scale 1 : 20. The real boat is 36 ft long. Find the length of the model in inches.

Question 7 Patio Cost (3 points)

A blueprint uses the scale 1 in = 3 ft. The drawing of a patio has an area of 20 square inches.

1. How many square feet does one square inch of the drawing represent? (1 point)
2. Find the actual area of the patio. (1 point)
3. Paving costs $6.25 per square foot. Find the cost to pave the patio. (1 point)

Question 8 Redraw a Bed (2 points)

At the scale 1 in = 4 ft, a bed is drawn 1.5 in wide and 2 in long. Find its dimensions when redrawn at the scale 1 in = 2 ft.