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7. G1 Scaling Figures Quiz

Total questions: 98

Worksheet time: 5hrs 28mins

Name
Class
Date
1.

A map has a scale of 1 inch to 100 miles. If two cities are 3 inches apart on the map, how far are they actually from each other?

a)

200 miles

b)

300 miles

c)

100 miles

d)

400 miles

2.

A model car is built at a scale of 1:24. If the actual car is 12 feet long, how long is the model car?

a)

0.5 feet

b)

6 feet

c)

1 foot

d)

2 feet

3.

A scale drawing of a building is made where 1 inch represents 20 feet. If the drawing of the building is 9 inches tall, how tall is the actual building?

a)

180 feet

b)

160 feet

c)

200 feet

d)

220 feet

4.

A photograph is enlarged to twice its original length and width. If the original photograph was 8 inches wide, how wide is the enlarged photograph?

a)

8 inches

b)

16 inches

c)

12 inches

d)

24 inches

5.

A rectangular garden measuring 30 feet by 40 feet is to be scaled down to a model with a length of 5 feet. What is the width of the model?

a)

6 feet

b)

6.5 feet

c)

7 feet

d)

8 feet

6.

A scale model of a skyscraper is made using a scale of 1 inch = 50 feet. If the model is 15 inches tall, how tall is the skyscraper?

a)

750 feet

b)

600 feet

c)

800 feet

d)

700 feet

7.

A map scale shows that 2 inches equals 5 kilometers. How many kilometers apart are two towns that are 7 inches apart on the map?

a)

17.5 kilometers

b)

15 kilometers

c)

20 kilometers

d)

35 kilometers

8.

A blueprint of a house uses a scale where 1/4 inch represents 1 foot. If a room on the blueprint is 2 inches by 3 inches, what are the actual dimensions of the room?

a)

8 feet by 12 feet

b)

10 feet by 15 feet

c)

8 feet by 10 feet

d)

10 feet by 12 feet

9.

A scale drawing of a park has a scale of 1 cm to 50 m. If the actual length of the park is 300 meters, how long is the park on the drawing?

a)

4 cm

b)

6 cm

c)

8 cm

d)

10 cm

10.

A model of a ship is made at a scale of 1:200. If the actual ship is 400 feet long, how long is the model?

a)

2 feet

b)

3 feet

c)

4 feet

d)

5 feet

11.

A rectangular pool measures 50 feet by 100 feet. A scale drawing of the pool uses a scale of 1 inch = 10 feet. What are the dimensions of the pool on the drawing?

a)

5 inches by 10 inches

b)

4 inches by 8 inches

c)

6 inches by 12 inches

d)

7 inches by 14 inches

12.

A scale model of a tower is 3 feet tall. If the scale is 1 foot = 100 feet, how tall is the actual tower?

a)

300 feet

b)

200 feet

c)

400 feet

d)

500 feet

13.

A map has a scale of 1 cm to 10 km. If the distance between two cities on the map is 5 cm, how far are the cities from each other in real life?

a)

50 km

b)

60 km

c)

40 km

d)

70 km

14.

A garden blueprint uses a scale of 1 inch = 2 feet. If a flower bed on the blueprint is 4.5 inches long, how long is the actual flower bed?

a)

9 feet

b)

8 feet

c)

10 feet

d)

12 feet

15.

A scale drawing of a playground uses a scale of 1 inch = 5 yards. If the actual playground is 100 yards long, how long is the playground on the drawing?

a)

15 inches

b)

20 inches

c)

25 inches

d)

30 inches

16.

a)

23

b)

25

c)

50

d)

100

17.

a)

32

b)

75

c)

33

d)

150

18.

a)

20

b)

40

c)

50

d)

97

19.

a)

125

b)

55

c)

250

d)

25

20.

a)

6

b)

3

c)

12

d)

5

21.

a)

50

b)

31

c)

70

d)

14

22.

a)

3

b)

9

c)

1

d)

12

23.

a)

2

b)

3

c)

12

d)

5

24.

a)

4

b)

75

c)

25

d)

24

25.

a)

5

b)

55

c)

56

d)

12

26.

a)

$3

b)

$23.25

c)

$8.73

d)

$79.75

27.

a)

240

b)

2160

c)

12

d)

3

28.

a)

$12

b)

$120

c)

$221

d)

$21

29.

a)

5

b)

6

c)

2

d)

1.5

30.
The two rectangles are scale drawings. What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
31.
Find missing side
a)
5
b)
7
c)
9
d)
11
32.

What is the scale factor from the small fry to the large fry?

a)

1/3

b)

48

c)

4

d)

3

33.

What is the scale factor?

a)

1

b)

2

c)

3

d)

4

34.

Which of the following are scaled copies of the original portrait? Select ALL the apply.

a)

A

b)

B

c)

C

d)

D

e)

E

35.

Is Figure B a scaled copy of Figure A?

a)

Yes

b)

No

36.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
37.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
38.
Scale Factor of ½ is __________________ .
a)
Reduction
b)
Enlargement
39.
Scale Factor of 5 is _________________ .
a)
Reduction
b)
Enlargement
40.

From Denver to Chicago = 3 in.

If the scale is 1 in = 300 miles, find the actual distance.

a)
300 miles
b)
1000 miles
c)
900 miles
d)
600 miles
41.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
42.

The two figures are similar. Which side length corresponds to PS‾\overline{PS}   ?

a)

  KN‾\overline{KN}  

b)

  LM‾\overline{LM}  

c)

  QR‾\overline{QR}  

d)

  SR‾\overline{SR}  

43.

The two shapes are similar. Which angle measure is congruent to ∠D\angle D  ?

a)

∠P\angle P   

b)

∠O\angle O   

c)

∠C\angle C   

d)

none 

44.

Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select ALL of the true statements.

a)

Segment EF is twice as long as segment AB.

b)

Segment CD is twice as long as segment FG.

c)

The measure of angle HEF is twice the measure of angle DAB.

d)

The length of segment EH is 16 units.

e)

Point D corresponds to point H

45.

If 40 apples can fit into 3 baskets, how many apples will fit into 12 baskets?

a)

4 apples

b)

160 apples

c)

10 apples

d)

240 apples

46.

There are 2 teachers for every 26 students at SMU. If there are 8 teachers in the science department, how many students are there?

a)

13 students

b)

84 students

c)

6 students

d)

104 students

47.

9 truckloads can ship 1200 boxes of underwear. How many boxes of underwear can be shipped in 3 truckloads?

a)

400 boxes

b)

3 boxes

c)

3600 boxes

d)

300 boxes

48.

There are 112 ounces in 7 pints. How many pints are in 56 ounces?

a)

3 pints

b)

3.5 pints

c)

2 pints

d)

2.5 pints

49.

18 pencils per box. How many boxes for 108 pencils?

a)

10 boxes

b)

2 boxes

c)

6 boxes

d)

3 boxes

50.

Jesse makes $39,000 per year for his job. How much money does he make after 3 years?

a)

$117,000

b)

$3,000

c)

$13,000

d)

$78,000

51.

There are 520 centimeters in 5.2 meters. How many meters are in 260 centimeters?

a)

2 meters

b)

2.2 meters

c)

2.6 meters

d)

10.4 meters

52.

Eddie can run 1 mile in 11 minutes. How far can he run in 143 minutes?

a)

132 miles

b)

14 miles

c)

154 miles

d)

13 miles

53.

There are 12 quarts in 3 gallons. How many quarts are in 1 gallon?

a)

36 quarts

b)

4 quarts

c)

15 quarts

d)

2 quarts

54.

A hummingbird's wings beat 280 times in 4 seconds. How many seconds does it take for the wings to beat 70 times?

a)

40 seconds

b)

10 seconds

c)

4 seconds

d)

1 second

55.

Choose all of the correct statements.

a)

Segment QR is twice as long as segment BC.

b)

Polygon PQRS is a scaled copy of polygon ABCD.

c)

The scale factor is 1.5.

d)

Angle C is half the measure of angle R.

e)

The area of PQRS is 1.5 times greater than ABCD.

56.

Rectangle A measures 12 inches by 6 inches. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.

a)

3 inches by 1.5 inches

b)

7 inches by 3 inches

c)

24 inches by 18 inches

d)

60 inches by 30 inches

57.

A scale drawing of a playground is 8 inches wide by 11 inches long. The actual playground is 110 yards long. What is the area of the actual playground in square yards?

a)

88 yd2

b)

968 yd2

c)

8,800 yd2

d)

9,680 yd2

58.

The scale of a map says that 6 cm represents 15 km.

What distance on the map represents an actual distance of 6 kilometers?

a)

3.6

b)

2.5

c)

2.4

d)

.42

59.

The scale of a map says that 6 cm represents 15 km.

What is the actual number of kilometers that is represented by 15 cm on the map?

a)

37.5

b)

90

c)

225

d)

20

60.

Triangle F is the original drawing. Which triangle is a copy with a scale factor of 1/3?

a)

B

b)

G

c)

H

61.

Triangle F is the original drawing. Which triangle has a perimeter that is half as long as F?

a)

B

b)

G

c)

H

62.

There are two different maps of Utah. The scale of the first map is 1 cm to 50 miles. The western boarder is 7cm.

The scale on the second map is 1 cm to 25 miles.

What is the length of the western Utah boarder on the second map?

a)

5

b)

7

c)

14

d)

35

63.

There are two different maps of Utah. The scale of the first map is 1 cm to 50 miles. The western boarder is 7cm.

The scale on the second map is 1 cm to 25 miles.

The size of the second map will be _______ the first map.

a)

smaller than

b)

larger than

c)

the same size as

64.

How could you express the scale on the drawing without units? Select all that apply.

a)

1 to 8

b)

1 to 96

c)

1/8 to 1

d)

1/96 to 1

65.

Cory wants to make a scale drawing of his car in centimeters. The car is 4.4 meters long and 1.4 meters tall. He uses a scale of 1 meter to 40cm. The length of the car in his drawing will be ______ cm.

a)

11

b)

5.5

c)

17.6

d)

154

66.

Cory wants to make a scale drawing of his car in centimeters. The car is 4.4 meters long and 1.4 meters tall. He uses a scale of 1 to 40. The car's ground clearance is 0.2 meters. How high should be the ground clearance on the scale drawing in centimeters?

a)

0.2

b)

2

c)

20

d)

0.5

67.

Here is a figure that looks like the letter A, along with several other figures. Which figures are scaled copies of the original A? Explain how you know.

a)

Figure 1

b)

Figure 2

c)

Figure 3

d)

Figure 4

68.

Figure B is a scaled copy of Figure A. Select all of the statements that MUST be true:

a)

Figure B is larger than Figure A.

b)

Figure B has the same number of edges as Figure A.

c)

Figure B has the same perimeter as Figure A.

d)

Figure B has the same number of angles as Figure A.

e)

Figure B has angles with the same measures as Figure A.

69.

Quadrilateral A has side lengths 6, 9, 9, and 12. Quadrilateral B is a scaled copy of Quadrilateral A, with its shortest side of length 2. What is the perimeter of Quadrilateral B?

a)

10

b)

22

c)

12

d)

8

70.

Quadrilateral PQRS is a scaled copy of Quadrilateral ABCD. Point P corresponds to A, Q to B, R to C, and S to D. If the distance from P to R is 3 units, what is the distance from Q to S?

a)

3

b)

5

c)

6

d)

1

71.

To make 1 batch of lavender paint, the ratio of cups of pink paint to cups of blue paint is 6 to 5. Find three more ratios of cups of pink paint to cups of blue paint that are equivalent to this ratio.

a)

10 : 1

b)

12 : 10

c)

60 : 50

d)

21 : 17.5

72.

Triangle S and Triangle L are scaled copies of one another. What is the scale factor from L to S?

a)

310\frac{3}{10}

b)

22

c)

1.51.5

d)

48\frac{4}{8}

73.

A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet. If the park is shown as a square on the map, each side of which is one foot long, how long is each side of the square park?

a)

2,000 ft

b)

1,800 ft

c)

2,800 ft

d)

2,400 ft

74.

Here is an unlabeled rectangle, followed by other quadrilaterals that are labeled. Select all quadrilaterals that are scaled copies of the unlabeled rectangle.

a)

A

b)

C

c)

D

d)

E

e)

F

75.

If Quadrilateral Q is a scaled copy of Quadrilateral P created with a scale factor of 3, what is the perimeter of Q?

a)

158

b)

186

c)

180

d)

165

76.

A model airplane is built at a scale of 1 to 72. If the model plane is 8 inches long, how many feet long is the actual airplane?

a)

280 ft

b)

8 ft

c)

642 ft

d)

576 ft

77.

Elena finds that the area of a house on a scale drawing is 25 square inches. The actual area of the house is 2,025 square feet. What is the scale of the drawing?

a)

80

b)

75

c)

92

d)

81

78.

Water costs $1.25 per bottle. At this rate, what is the cost of 10 bottles?

a)

$12.50

b)

$13.00

c)

$10.50

d)

$12.00

79.

The scale of a map says that 6 cm represents 15 km.What is the actual number of kilometers that is represented by 4 cm on the map?

a)

6 km

b)

13 km

c)

12 km

d)

10 km

80.

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

81.

A to-scale figure of the space station is 4 inches long. If you know the scale for the space station is 1 inch to 5 yards, how long is the actual space station?

a)

20 inches

b)

20 yards

c)

15 inches

d)

25 yards

82.

Howard has a scale model of the Statue of Liberty. The model is 15 inches tall. The scale of the model to the actual statue is 1 inch : 6.2 meters. Which equation can Howard use to determine x, the height in meters, of the Statue of Liberty?

a)

15x = 6.215x\ =\ 6.2

b)

6.2x = 156.2x\ =\ 15

c)

16.2 = x15\frac{1}{6.2}\ =\ \frac{x}{15}

d)

16.2 = 15x\frac{1}{6.2}\ =\ \frac{15}{x}

83.

A scale drawing of a rectangular parking lot is shown. The width of the parking lot is shorter than the length. The width of the actual parking lot is 48 feet. How many feet of the parking lot are represented by 1 centimeter on the scale drawing?

a)

15

b)

16

c)

3.75

d)

153.6

84.

A scale drawing of a rectangular parking lot is shown. The width of the parking lot is shorter than the length. The width of the actual parking lot is 48 feet. Based on the scale drawing, what is the length, in feet, of the actual parking lot?

a)

40.96

b)

192

c)

4

d)

195

85.

What is the scale factor from ΔDEF to ΔABC?

a)

1/2

b)

7/3

c)

2

d)

10/3

86.

What is the scale factor from ABCD to MNOP?

a)

2/3

b)

3/2

c)

2

d)

3

87.

What is the scale factor from ABC to DEF?

a)

2

b)

3/2

c)

2/3

d)

1/2

88.

A scale factor greater than one creates ....

a)

a reduction

b)

an enlargement

c)

an exact copy

d)

none of the above

89.

A scale factor less than one creates ....

a)

a reduction

b)

an enlargement

c)

an exact copy

d)

none of the above

90.

How does scale factor change the perimeter?

a)

by the scale factor

b)

by the scale factor squared

c)

by the scale factor cubed

d)

scale factor does not change the perimeter

91.

How does scale factor change the area?

a)

by the scale factor

b)

by the scale factor squared

c)

by the scale factor cubed

d)

scale factor does not affect the area

92.

The perimeter of a rectangle was 121m, and was reduced to 11m. What was the scale factor used to reduce the shape?

a)

11

b)

12

c)

111\frac{1}{11}

d)

112\frac{1}{12}

93.

A rectangular park on a city map has dimensions of 1.75in x 2.1in. The park in real life is 1,500 times larger than the drawing. What is the perimeter of the actual park?

a)

5,512.5 in

b)

3,675 in

c)

5,250 in

d)

11,550 in

94.

The original area of a rectangle is 35 in2. If the rectangle is enlarged by a scale factor of 3, what is the new area?

a)

105 in2

b)

11.6 in2

c)

315 in2

d)

210 in2

95.

If the area of a square was 16 in2 and now it is 256 in2, what is the scale factor that was used?

a)

4

b)

2

c)

3

d)

12

96.

The area of a rectangle is 600 sq. meters. If all of the rectangle's sides are reduced by a scale factor of  12\frac{1}{2}  , what is the area of the new rectangle?

a)

300 sq m

b)

1200 sq m

c)

600 sq m

d)

150 sq m

97.

The area of a rectangle was 1125 sq cm, and was reduced to 45 sq cm. What was the scale factor used to reduce the shape?

a)

15\frac{1}{5}  

b)

25

c)

5

d)

125\frac{1}{25}  

98.

A rectangular park on a city map has dimensions of 1.75in x 2.1in. The park in real life is 100 times larger than the drawing. What is the area of the actual park?

a)

36,750 in2

b)

367.5 in2

c)

3,675 in2

d)

11,550 in2

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