Scale Drawings Quiz � Real-World Geometry Practice (7.G.A.1)

1) A rectangular garden measures 12 m by 18 m. On a drawing with scale 1 cm = 3 m, what are the garden's dimensions?

4 cm × 6 cm

6 cm × 9 cm

12 cm × 18 cm

3 cm × 5 cm

Garden scale

Scale: 1 cm = 3 m.

12 ÷ 3 = 4 cm; 18 ÷ 3 = 6 cm.

The garden drawing is 4 cm × 6 cm.

Explanation

Garden scale

Scale: 1 cm = 3 m.

12 ÷ 3 = 4 cm; 18 ÷ 3 = 6 cm.

The garden drawing is 4 cm × 6 cm.

2) A model of a rectangular box has dimensions 2 cm m 3 cm m 4 cm. The scale is 1:10 (1 cm = 10 m). What is the volume of the actual box?

2,000 m³

12,000 m³

24,000 m³

48,000 m³

Box volume

Scale: 1 cm = 10 m → actual: 20×30×40.

20 × 30 × 40 = 24,000.

The box volume is 24,000 m³.

Explanation

Box volume

Scale: 1 cm = 10 m → actual: 20×30×40.

20 × 30 × 40 = 24,000.

The box volume is 24,000 m³.

3) The scale of a map is 1:250 (1 cm = 250 m). How many kilometers does 8 cm represent?

1.5 km

2 km

2.5 km

3 km

Map distance

Scale: 1 cm = 250 m. The map shows 8 cm.

8 × 250 = 2000 m = 2 km.

The distance is 2 km.

Explanation

Map distance

Scale: 1 cm = 250 m. The map shows 8 cm.

8 × 250 = 2000 m = 2 km.

The distance is 2 km.

4) On a scale drawing, a roof has a base of 5 cm and a height of 3 cm. The scale is 1 cm = 2 m. What is the actual area of the roof base?

18 m²

30 m²

42 m²

56 m²

Roof area

Scale: 1 cm = 2 m → base 10 m, height 6 m.

Area = ½ × 10 × 6 = 30.

The roof area is 30 m².

Explanation

Roof area

Scale: 1 cm = 2 m → base 10 m, height 6 m.

Area = ½ × 10 × 6 = 30.

The roof area is 30 m².

5) A rectangle is drawn on a map with a scale of 1 cm = 5 m. If the rectangle is 3 cm long, what is the actual length?

8 m

10 m

15 m

20 m

Map length

Scale: 1 cm = 5 m. The line is 3 cm.

So, 3 × 5 = 15.

The actual length is 15 meters.

Explanation

Map length

Scale: 1 cm = 5 m. The line is 3 cm.

So, 3 × 5 = 15.

The actual length is 15 meters.

6) The scale on a map is 1 inch = 12 miles. If two towns are 3.5 inches apart on the map, what is their actual distance?

24 miles

36 miles

42 miles

48 miles

Map distance

Scale: 1 in = 12 mi. The distance is 3.5 in.

So, 3.5 × 12 = 42.

The actual distance is 42 miles.

Explanation

Map distance

Scale: 1 in = 12 mi. The distance is 3.5 in.

So, 3.5 × 12 = 42.

The actual distance is 42 miles.

7) A model car is built at a scale of 1:20. If the model's length is 10 cm, what is the actual car's length?

150 cm

180 cm

200 cm

220 cm

Model length

Scale: 1:20. The model is 10 cm long.

So, 10 × 20 = 200.

The actual car’s length is 200 cm.

Explanation

Model length

Scale: 1:20. The model is 10 cm long.

So, 10 × 20 = 200.

The actual car’s length is 200 cm.

8) A triangle on a scale drawing has sides of 4 cm, 6 cm, and 8 cm. If the scale is 1 cm = 2 ft, what is the perimeter of the actual triangle?

30 ft

36 ft

40 ft

44 ft

Triangle sides

Each cm = 2 ft. Sides are 4, 6, 8 cm.

So, 8 + 12 + 16 = 36.

The actual perimeter is 36 ft.

Explanation

Triangle sides

Each cm = 2 ft. Sides are 4, 6, 8 cm.

So, 8 + 12 + 16 = 36.

The actual perimeter is 36 ft.

9) A map has a scale of 1 cm = 50 km. If the actual distance between two cities is 250 km, how far apart should they be on the map?

3 cm

4 cm

5 cm

6 cm

Map scale

Scale: 1 cm = 50 km. The real distance is 250 km.

So, 250 ÷ 50 = 5.

They are 5 cm apart on the map.

Explanation

Map scale

Scale: 1 cm = 50 km. The real distance is 250 km.

So, 250 ÷ 50 = 5.

They are 5 cm apart on the map.

10) The scale on a drawing is 1 in = 8 ft. If a wall is 12 in on the drawing, how long is the actual wall?

72 ft

84 ft

90 ft

96 ft

Drawing scale

Scale: 1 in = 8 ft. The wall is 12 in.

So, 12 × 8 = 96.

The actual wall is 96 ft long.

Explanation

Drawing scale

Scale: 1 in = 8 ft. The wall is 12 in.

So, 12 × 8 = 96.

The actual wall is 96 ft long.

11) A scale model of a building is constructed at 1:100. The height of the model is 1.8 m. What is the actual building's height?

180 m

200 m

220 m

250 m

Model height

Scale: 1:100. Model is 1.8 m tall.

So, 1.8 × 100 = 180.

The actual building is 180 m high.

Explanation

Model height

Scale: 1:100. Model is 1.8 m tall.

So, 1.8 × 100 = 180.

The actual building is 180 m high.

12) On a scale drawing, a park is represented as a square with side length 5 cm. The scale is 1 cm = 20 m. What is the actual area of the park?

1,000 m²

4,000 m²

10,000 m²

20,000 m²

Park area

Scale: 1 cm = 20 m. Each side = 5 cm → 100 m.

Area = 100 × 100 = 10,000.

The actual area is 10,000 m².

Explanation

Park area

Scale: 1 cm = 20 m. Each side = 5 cm → 100 m.

Area = 100 × 100 = 10,000.

The actual area is 10,000 m².

13) A football field is 100 m long. On a scale drawing with 1 cm = 10 m, how long is the field on the drawing?

5 cm

8 cm

10 cm

12 cm

Field length

Scale: 1 cm = 10 m.

100 ÷ 10 = 10.

The drawing shows 10 cm.

Explanation

Field length

Scale: 1 cm = 10 m.

100 ÷ 10 = 10.

The drawing shows 10 cm.

14) A floor plan uses the scale 1 in = 3 ft. If a window is 2 in wide on the plan, what is its actual width?

4 ft

5 ft

6 ft

8 ft

Blueprint width

Scale: 1 in = 3 ft. The window is 2 in.

So, 2 × 3 = 6.

The window is 6 ft wide.

Explanation

Blueprint width

Scale: 1 in = 3 ft. The window is 2 in.

So, 2 × 3 = 6.

The window is 6 ft wide.

15) A drawing of a rectangular pool shows dimensions of 6 cm by 4 cm. The scale is 1 cm = 2 m. What is the pool's actual perimeter?

20 m

28 m

36 m

40 m

Pool size

Scale: 1 cm = 2 m.

6→12 m, 4→8 m.

Perimeter = 2(12 + 8) = 40.

The pool’s perimeter is 40 m.

Explanation

Pool size

Scale: 1 cm = 2 m.

6→12 m, 4→8 m.

Perimeter = 2(12 + 8) = 40.

The pool’s perimeter is 40 m.

16) The scale on a city map is 1 in = 5 miles. If two locations are 4.6 inches apart, how many miles is that?t, how many pairs of vertical angles are formed?

20 miles

22 miles

23 miles

24 miles

Map distance

Scale: 1 in = 5 mi.

4.6 × 5 = 23.

The distance is 23 miles.

Explanation

Map distance

Scale: 1 in = 5 mi.

4.6 × 5 = 23.

The distance is 23 miles.

17) A museum floor plan shows a rectangular hall as 8 cm by 12 cm. The scale is 1 cm = 4 m. What is the actual area of the hall?

1536 m²

2056 m²

3184 m²

5012 m²

Hall area

Scale: 1 cm = 4 m → actual 32 × 48 m.

Area = 32 × 48 = 1536.

The hall area is 1536 m².

Explanation

Hall area

Scale: 1 cm = 4 m → actual 32 × 48 m.

Area = 32 × 48 = 1536.

The hall area is 1536 m².

18) A model airplane is built to a scale of 1:4 (1 cm = 4 m). The wingspan of the model is 25 cm. What is the actual wingspan?

80 m

90 m

100 m

120 m

Airplane wingspan

Scale: 1 cm = 4 m.

25 × 4 = 100.

The wingspan is 100 m.

Explanation

Airplane wingspan

Scale: 1 cm = 4 m.

25 × 4 = 100.

The wingspan is 100 m.

19) On a blueprint, 2 cm represents 4 m. How many meters does 7 cm represent?

12 m

14 m

28 m

35 m

Blueprint length

Scale: 2 cm = 4 m. So, 1 cm = 2 m. The line is 7 cm.

So, 7 × 2 = 14.

The actual length is 14 meters.

Explanation

Blueprint length

Scale: 2 cm = 4 m. So, 1 cm = 2 m. The line is 7 cm.

So, 7 × 2 = 14.

The actual length is 14 meters.

20) A model train set is built at 1:5 scale (1 cm = 5 m). If the actual train is 25 m long, what is the model length?

2.5 cm

3 cm

4.5 cm

5 cm

Train model

Scale: 1 cm = 5 m.

25 ÷ 5 = 5.

The model is 5 cm long.

Explanation

Train model

Scale: 1 cm = 5 m.

25 ÷ 5 = 5.

The model is 5 cm long.

Scale Drawings and Proportional Geometry Quiz

1) A rectangular garden measures 12 m by 18 m. On a drawing with scale 1 cm = 3 m, what are the garden's dimensions?

2)

What first name or nickname would you like us to use?

2) A model of a rectangular box has dimensions 2 cm m 3 cm m 4 cm. The scale is 1:10 (1 cm = 10 m). What is the volume of the actual box?

3) The scale of a map is 1:250 (1 cm = 250 m). How many kilometers does 8 cm represent?

4) On a scale drawing, a roof has a base of 5 cm and a height of 3 cm. The scale is 1 cm = 2 m. What is the actual area of the roof base?

5) A rectangle is drawn on a map with a scale of 1 cm = 5 m. If the rectangle is 3 cm long, what is the actual length?

6) The scale on a map is 1 inch = 12 miles. If two towns are 3.5 inches apart on the map, what is their actual distance?

7) A model car is built at a scale of 1:20. If the model's length is 10 cm, what is the actual car's length?

8) A triangle on a scale drawing has sides of 4 cm, 6 cm, and 8 cm. If the scale is 1 cm = 2 ft, what is the perimeter of the actual triangle?

9) A map has a scale of 1 cm = 50 km. If the actual distance between two cities is 250 km, how far apart should they be on the map?

10) The scale on a drawing is 1 in = 8 ft. If a wall is 12 in on the drawing, how long is the actual wall?

11) A scale model of a building is constructed at 1:100. The height of the model is 1.8 m. What is the actual building's height?

12) On a scale drawing, a park is represented as a square with side length 5 cm. The scale is 1 cm = 20 m. What is the actual area of the park?

13) A football field is 100 m long. On a scale drawing with 1 cm = 10 m, how long is the field on the drawing?

14) A floor plan uses the scale 1 in = 3 ft. If a window is 2 in wide on the plan, what is its actual width?

15) A drawing of a rectangular pool shows dimensions of 6 cm by 4 cm. The scale is 1 cm = 2 m. What is the pool's actual perimeter?

16) The scale on a city map is 1 in = 5 miles. If two locations are 4.6 inches apart, how many miles is that?t, how many pairs of vertical angles are formed?

17) A museum floor plan shows a rectangular hall as 8 cm by 12 cm. The scale is 1 cm = 4 m. What is the actual area of the hall?

18) A model airplane is built to a scale of 1:4 (1 cm = 4 m). The wingspan of the model is 25 cm. What is the actual wingspan?

19) On a blueprint, 2 cm represents 4 m. How many meters does 7 cm represent?

20) A model train set is built at 1:5 scale (1 cm = 5 m). If the actual train is 25 m long, what is the model length?