Quiz about Scale drawing

Question 1

On a road map, the distance from City A to City B is 4 inches. The map scale is 1 inch = 20 miles. What is the actual distance, in miles, between City A and City B?

Accepted Answer

80 mi

Answer

5 mi

Answer

24 mi

Answer

48 mi

Question 2

Carla makes a scale drawing of her garden that is 30 feet long and 24 feet wide. If the garden in her drawing is 20 inches long, what is its width, in inches?

Accepted Answer

16

Answer

14

Answer

25

Answer

26

Question 3

Jane made a scale drawing of a house where

1 in = 10 ft

If she wants to change the scale to 1 in = 20 ft what would her new scale drawing look like?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Question 4

A scale drawing of a city plaza in which 1in = 1.5 ft is shown.

To the nearest whole number, what is the area of the actual plaza?

Accepted Answer

182 square feet

Answer

81 square feet

Answer

81 square inches

Answer

182 square inches

Question 5

The scale on a map is 1 inch = $$2\ \frac{1}{2}$$ miles. The distance between two streets on the map is $$1\ \frac{3}{4}$$ inches. What is the actual distance between these streets?

Accepted Answer

$$4\ \frac{3}{8}$$

Answer

$$1\ \frac{3}{7}$$

Answer

$$2\ \frac{3}{8}$$

Answer

$$4\ \frac{1}{2}$$

Question 6

A scale drawing of a playground is shown below.

Using this scale, what is the area, in square feet, of the playground?

Accepted Answer

15,200 square feet

Answer

19,200 square feet

Answer

17,600 square feet

Answer

12,000 square feet

Question 7

A rectangular room is 15 feet long and 10 feet wide. A scale drawing of the room has a width of 5 inches. What is the length of the room in the drawing?

Accepted Answer

7.5 in

Answer

5 in

Answer

10 in

Answer

30.5 in

Question 8

Sarah made a scale drawing of a dinosaur.

She made the height of the dinosaur $$2\ \frac{1}{2}$$ inches.

The actual height of the dinosaur is 9 feet.

What scale did Sarah use for her drawing?

Accepted Answer

1 in = 3.6 ft

Answer

1 in = 4.5 ft

Answer

1 in = 18 ft

Answer

1 in = 22.5 ft

Question 9

Elaine drew the model below of her room and bed. The scale of the model is 1 in. = 2 ft.

What is the approximate area of her actual bed?

Accepted Answer

28 $$ft^2$$

Answer

7 ft $$ft^2$$

Answer

14 $$ft^2$$

Answer

24 $$ft^2$$

Question 10

The scale of a porch used in a drawing is 1 in. = 4 ft. The actual length of the porch is $$11\ \frac{1}{2}$$ ft. What is the length of the porch in the drawing?

Accepted Answer

$$2\ \frac{7}{8}$$ in

Answer

$$46$$ in

Answer

$$32$$ in

Answer

$$15\ \frac{1}{2}$$ in

Question 11

A scale drawing of a building is shown below. The scale of the drawing is 1 cm = 5 m.

What is the perimeter of the actual building?

Accepted Answer

150 m

Answer

115 m

Answer

30 m

Answer

23 m

Question 12

Irvin made a scale drawing of the fence he is building. He used a scale of 1 cm = 5 feet.What is the perimeter of the actual fence Irvin is building?

Accepted Answer

130 ft

Answer

108 ft

Answer

169 ft

Answer

191 ft

Question 13

This diagram is a scale drawing of a store.

To the nearest 50 square feet, what is the area of the actual store?

Scale: 1 inch = 16 feet

Accepted Answer

2500 square feet

Answer

2350 square feet

Answer

2400 square feet

Answer

2450 square feet

Question 14

A rectangle is shown below.

The side lengths of the rectangle are reduced by a scale factor of 1/4. What is the area of the new rectangle?

Accepted Answer

36 $$in^2$$

Answer

52 $$in^2$$

Answer

104 $$in^2$$

Answer

144 $$in^2$$

Question 15

A square is shown below.

The side lengths of the square are enlarged by a scale factor of 3. What will be the area of the new square?

Accepted Answer

$$144\ \ ft^2$$

Answer

$$12\ \ ft^2$$

Answer

$$24\ ft^2$$

Answer

$$48\ \ ft^2$$

Question 16

On a scale model of a house, the living room is 1/24 of the actual size. The actual living room is in the shape of a rectangle that measures 26 ft by 18 ft. What is the area of the living room on the scale model?

Accepted Answer

$$\frac{13}{16}\ ft^2$$

Answer

$$1\ \frac{5}{6}\ \ ft^2$$

Answer

$$19\ \frac{1}{2\ }\ ft^2$$

Answer

$$24\ ft^2$$

Question 17

The floor plan of a house is drawn to a scale of $$\frac{1}{4\ }\ inches\ =\ 2\ feet$$ If the living room $$3\ \frac{3}{4}$$ inches measures in length on the floor plan, what is the actual length of the room, in feet?

Accepted Answer

30 feet

Answer

24 feet

Answer

16 feet

Answer

6 feet

Question 18

A Stegosaurus skeleton at a museum has a height of 4 meters. The gift shop at the museum sells a model of the Stegosaurus. The scale used to create the model was 1 cm = 0.16 m. What is the height, in centimeters, of the model of the Stegosaurus the gift shop sells?

Accepted Answer

25

Answer

0.04

Answer

0.064

Answer

20

Question 19

In the diagram below, rectangle MNPQ is proportional to rectangle RSTU.

What is the value of x?

Accepted Answer

7.5

Answer

4.5

Answer

20

Answer

30

Question 20

What is the scale factor?

Accepted Answer

$$\frac{1}{2}$$ $$or\ 0.5$$

Answer

2 or $$\frac{2}{1}$$

Answer

3 or $$\frac{3}{1}$$

Answer

$$\frac{1}{4\ }\ or\ 0.25$$

Question 21

Stan made a scale drawing of his living room that had a scale factor of $$\frac{1}{2}$$ inch = 2 feet. The dimensions of the living room in his drawing are 3 $$\frac{1}{2}$$ inches by 3 $$\frac{3}{4}$$ inches. Carpet sells for $3.99 per square foot. How much will it cost Stan to carpet his living room?

Accepted Answer

$837.90

Answer

$104.74

Answer

$209.48

Answer

$418.95

Question 22

The Great Pyramid in Egypt is about 147 meters tall. Rosa is building a scale model of the Great Pyramid using the scale 1 inch = 10 meters. Which of the following proportions can Rosa use to find the height in inches, x, that her scale model should be?

Accepted Answer

$$\frac{x}{147}=\frac{1}{10}$$

Answer

$$\frac{x}{10}\ =\ \frac{1}{147}$$

Answer

$$\frac{x}{10}\ =\ \frac{12}{147}$$

Answer

$$\frac{x}{147}\ =\ \frac{12}{10}$$

Question 23

Reynaldo is making a model of his school building. The actual building is 28 feet tall and 128 feet long. If the model is 16 inches long, how tall should the model be?

Accepted Answer

3.5 in

Answer

2.2 in

Answer

7.3 in

Answer

22.4 in

Question 24

Hanna is building a fence. She will use the house for one side of the fence as shown in the scale drawing below.

If the scale of the drawing is 1 cm = 8 ft, how many feet of fencing will Hanna need?

Accepted Answer

100 ft

Answer

120 ft

Answer

144 ft

Answer

154 ft

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