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Scale drawings Quiz

Total questions: 50

Worksheet time: 2hrs 24mins

Name
Class
Date
1.

The diagram shows object ΔDEF and scale drawing ΔABC. State the scale used in the form 1 : n.

a)

1 : 2

b)

1 : 3

c)

1 : 1/2

d)

1 : 1/3

2.

The large rectangle is a scale drawings of the small rectangle. What is the measurement of x?

a)

21

b)

15

c)

20

d)

4

3.

Given that the triangle on the right is the object and the triangle on the left is the image. state the scale used in the form 1 : n.

a)

1 : 2

b)

1 : 3

c)

1 : 2/3

d)

1 : 1/3

4.

Find the perimeter of the large triangle.

a)

24

b)

36

c)

12

d)

54

5.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

6.

A map has a scale of 1 cm = 5 km. On the map, two cities are 3 cm apart. What is the actual distance between these cities?

a)

1.7 km

b)

5 km

c)

15 km

d)

17 km

7.

Pam drew a scale drawing of a game room. She used the scale 1 cm : 2 m. If the air hockey table is 5 cm in the drawing, how long is the actual air hockey table?

a)

10 m

b)

2.5 m

c)

5 m

d)

15 m

8.

A model of a house was built using the scale 5 cm : 15 m. If a window in the model is 1.5 cm. wide, how wide is the actual window?

a)

90 m

b)

7.5 m

c)

4.5 m

d)

75 m

9.
This scale drawing shows a parking lot. What is the length of the longer side of the actual lot? 
a)
63 m
b)
235 m
c)
315 m
d)
630 m
10.

The original perimeter of a rectangle is 30cm. What is the new perimeter of the scale drawing of the rectangle if we used the scale of 1 : 1/4 ?

a)

90

b)

120

c)

480

d)

1920

11.

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?

a)

6 cm

b)

486 cm

c)

9 cm

d)

54 cm

12.

Alan drew a scale drawing of a house and its lot. The scale he used was 1 millimeter : 5 meters. In the drawing, the lawn in the backyard is 10 millimeters long. What is the length of the actual lawn?

a)

50 m

b)

2 m

c)

10 m

d)

5 m

13.

Kenny drew a scale drawing of a swimming pool. The scale of the drawing was 2 centimeters : 1 meter. If the pool is 26 centimeters in the drawing, how wide is the actual pool?

a)

13 m

b)

2 m

c)

1 m

d)

52 m

14.

Which of the following is a scale drawing of figure A?

a)

B

b)

C

c)

D

15.

It is given that Figure 2 is the scale drawing of Figure 1. Which side length on the scale drawing corresponds to the side length HJ on the original image?

a)

AB

b)

BC

c)

AC

16.
a)
b)
c)
17.
a)

20 feet

b)

24 feet

c)

29 feet

d)

51 feet

18.
a)

12\frac{1}{2}

b)

2424

c)

124\frac{1}{24}

d)

22

19.
a)

1.2 km

b)

4.3 km

c)

5.8 km

d)

8.4 km

20.
a)

1.5

b)

6

c)

8

d)

10.7

21.
A blueprint was using a scale of 3cm=4.5m. Find the actual length if it is 5cm on the drawing.
a)
7.5
b)
13.5
c)
1.5
d)
1.7
22.
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, how far apart are they?
a)
87 km
b)
216 km 
c)
33 km
d)
192 km
23.

The windows in the drawing are 1¾ cm apart, how many meters apart are the actual windows if the scale is 2 cm=10 m?

a)

8¾ m

b)

7½ m

c)

5 m

d)

2¼ m

24.

Robert measured a neighborhood park and made a scale drawing. The scale he used was 1 centimeter : 6 meters. The volleyball court is 3 centimeters in the drawing. How long is the actual volleyball court?

a)

18 m

b)

2 m

25.

Ronnie measured the elementary school and made a scale drawing. He used the scale 7 millimeters : 6 meters. If the school yard is 112 millimeters in the drawing, how long is the actual school yard?

a)

96 m

b)

42 m

26.
A blueprint was using a scale of 3cm = 4.5m. Find the actual length if it is 5cm on the drawing. (Hint: simplify the scale first)
a)
7.5
b)
13.5
c)
1.5
d)
1.7
27.
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?
a)
87 km
b)
216 km 
c)
33 km
d)
192 km
28.
To create a model of an artery, a health teacher uses the scale 2.5 cm:0.75 mm. If the diameter of the artery is 2.7 mm, what is the diameter on the model?
a)
9 cm
b)
18 cm
c)
90 cm
d)
9 m 
29.
What is a scale drawing?
a)
A drawing that shows proportional two-dimensional drawing of an object
b)
A drawing of the weight of a real     object
c)
A life size drawing of an object
d)
A drawing that shows all the sdies of a building
30.
The two rectangles are scale drawings. What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
31.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
32.
A map has a scale of 1 cm=5km.  On the map, two cities are 3 cm apart. What is the actual distance between these cities? 
a)
1.7 km
b)
5 km
c)
15 km
d)
17 km 
33.

What is the measurement of the side that corresponds with FE? Are the triangles proportionate?

a)

8, proportionate

b)

9, proportionate

c)

8, not proportionate

d)

9, not proportionate

34.

The two rectangles are scale drawings. What is the measurement of x?

a)

21

b)

1.25

c)

20

d)

4

35.

If n<1, the size of the scale drawing is..

a)

smaller than the object

b)

bigger than the object

c)

the same size as the object

d)

half the size of the object

36.

A scale drawing is drawn with a scale of 1 : n. Given the size of scale drawing is larger than its object. Which one is the possible values of n?

a)

 0.20.2  

b)

 12\frac{1}{2}  

c)

 11  

d)

 22  

37.

The diagram is drawn on a square grid. Which of the following shape is the scale drawing of object P?

a)

A

b)

B

c)

C

d)

D

38.

What is the scale of a drawing where a 6 m wall is 4 cm long?

a)

 1:\ \frac{2}{3}  

b)

 1: 321:\ \frac{3}{2}  

c)

 1: 151:\ 15  

d)

 1: 1501:\ 150   

39.

The actual diameter of a piece of coin is 16.8 mm. Determine the scale used to produce the drawing of the coin which has a diameter of 67.2 mm.

a)

1: 141:\ \frac{1}{4}

b)

1: 251:\ \frac{2}{5}

c)

1:41:4

d)

1: 251:\ 25

40.

Kiera measured a farm and made a scale drawing. In real life, the goat pen is 18 meters long. It is 6 centimeters long in the drawing. What scale did Kiera use for the drawing?

a)

 1: 131:\ \frac{1}{3}   

b)

 1: 31:\ 3  

c)

 1: 301:\ 30  

d)

 1: 3001:\ 300  

41.

Circle B is a scale drawing of circle A. Find the scale used.

a)

 1 : 121\ :\ \frac{1}{2}  

b)

 1 : 141\ :\ \frac{1}{4}  

c)

 1 : 21\ :\ 2  

d)

 1 : 41\ :\ 4  

42.

A map has a scale of 1 : 500 000. On the map, two cities are 3 cm apart. What is the actual distance between these cities?

a)

1.7 km

b)

5 km

c)

15 km

d)

17 km

43.

The distance from Building A to Building B is 60 m. Find the distance between the buildings on the map, if it is redrawn using a scale of 1: 1000.

a)

6 cm

b)

1.6 cm

c)

16 cm

d)

600 cm

44.

On a map, the distance between two towns in 2.6 cm. The scale of the map is 1:500 000. What is the actual distance between the two towns?

a)

100 km

b)

130 km

c)

70 km

d)

150 km

45.

Kenny drew a scale drawing of a swimming pool. The scale of the drawing was 1: 30. If the pool is 24 centimeters in the drawing, how wide is the actual pool?

a)

0.72 m

b)

7.2 m

c)

72 m

d)

720 m

46.

The height of a tree is 4.2 m. When the tree is drawn to a scale of 1:60, what is the height of the tree in the drawing?

a)

7 cm

b)

14 cm

c)

25.2 cm

d)

42 cm

47.

Lina has a scale model of a modern train. The model is created at a scale of 1:48. The height of the model train is 102 millimeters. What is the actual height of the train?

a)

2.125 mm

b)

48.96 m

c)

4,896 mm

d)

4,896,000 mm

48.

The diagram shows a right-angled triangle. A scale drawing of the triangle is drawn to a scale of  1:13.1:\frac{1}{3}.  Calculate the area, in cm2cm^2 , of the scale drawing.

a)

3 888

b)

1 944

c)

48

d)

24

49.

A scale drawing of a backyard in drawn using scale 1: 80. The actual width of the backyard is 20 meters, how wide is it in the drawing?

a)

0.25 cm

b)

1.6 cm

c)

20 cm

d)

25 cm

50.

The diagram shown represents a garden. The scale is 1: 2000. Each square in the drawing measures 1 cm by 1 cm. Find the actual width of the garden based upon the given drawing.

a)

60 m

b)

80 m

c)

120 m

d)

160 m