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Scaled Drawings

Total questions: 40

Worksheet time: 2hrs 58mins

Name
Class
Date
1.
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
2.
Jamie made a scale drawing of his apartment building.  The building is 300 ft tall.  He wants his scale to be 1 inch : 10 ft.  How tall should his building be in his scale drawing?
a)
25 inches
b)
60 inches
c)
1/30 inch
d)
30 inches
3.
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 
4.
On a map, Memphis, Tennessee, and Jackson, Mississippi, are 5 inches apart. The distance between the cities is actually 210 miles.

What scale was used to create the map?
a)
42 inches = 1 mile
b)
1 inch = 42 miles
c)
40 inches = 1 mile
d)

1 inch = 40 miles
5.

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

a)

10 Feet

b)

2.5 Feet

c)

5 Feet

d)

15 Feet

6.

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

7.

Brody drew a scale drawing of a campsite. He used the scale 1 inch : 3 feet. If the actual width of the tent is 6 feet, how wide is the tent in the drawing?

a)

2 in

b)

1 in

c)

3 in

d)

18 in

8.

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

9.

The blueprint(drawing) of this house has a length of 6 inches. The actual house has a length of 18 feet. What is the scale used?

a)

1 inch: 3 feet

b)

1 inch: 6 feet

c)

3 inches: 6 feet

d)

3 inches: 1 foot

10.

On a scale drawing, 1/4 inch = 10 feet. How many feet would 1 inch represent?

a)

4 feet

b)

40 feet

c)

10 feet

d)

5 feet

11.
A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint. 
a)
7 in
b)
9 in
c)
12 in
d)
14 in
12.

What is the scale factor going from the smaller to the larger triangle?

a)

4

b)

2

c)

3

d)

6

13.

The two triangles are similar. What is X?

a)

3

b)

2

c)

4

14.

If these two images are similar, what is X?

a)

10

b)

12

c)

15

15.

What is the scale factor from figure A to figure B?

a)

2

b)

2.5

c)

3

d)

4

16.

What is the scale factor when going from the smaller to the larger triangle?

a)

3

b)

5

c)

2

d)

6

17.

The two triangles are similar. What is Y in the smaller triangle?

a)

6

b)

6.5

c)

7

d)

5.5

18.

What is the scale factor from the larger to the smaller image?

a)

14\frac{1}{4}

b)


32\frac{3}{2}

c)

25\frac{2}{5}

19.

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

20.

A building is 360 feet tall. On a scale drawing, 1/4 inch = 10 feet. What is the height of the building in the scale drawing?

a)

15 in

b)

9 in

c)

7 in

d)

13 in

21.

What is the scale factor from ΔDEF to ΔABC?

a)

1/2

b)

7/3

c)

2

d)

10/3

22.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
23.

The original perimeter of a rectangle is 30cm, if we enlarge it by a scale factor of 4 what is the new perimeter?

a)

120

b)

480

c)

1920

24.

Which figures are scaled copies of the original A? Select all that apply.

a)

Figure 1

b)

Figure 2

c)

Figure 3

d)

Figure 4

25.

The second H-shaped polygon is a scaled copy of the first. What is the scale factor from the original polygon to its smaller copy?

a)

1/4

b)

4

c)

2

d)

1/2

26.

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)

1/3

b)

12

c)

36

d)

6

27.

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

28.
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
29.

Which of the following is a scaled copy of figure A?

a)

B

b)

C

c)

D

30.

What angle corresponds to angle STQ?

a)

UXW

b)

QRT

c)

XWV

d)

UVW

31.

What angle corresponds to angle CBA?

a)

ADC

b)

EFG

c)

EHF

d)

FGH

32.

Which figure is a scaled copy of the Original (A)

a)

B

b)

C

c)

D

d)

None of the above

33.

If a 6 inch line is drawn to a scale of 2.5 times it's original size, then how long would the line be?

a)

8.5 inches

b)

12.5 inches

c)

3.5 inches

d)

15 inches

34.

Three student are arguing over the picture above.

  • Rhonda says the scale is 3
  • Jaclyn says the scale is 2
  • Haley says the scale is 2.5

Who is correct?

a)

Rhonda

b)

Jaclyn

c)

Haley

d)

None of them

35.

Which drawings are scaled copies of the original figure F?

a)

Drawings: 1, 2, and 7

b)

Drawings: 3, 4, and 5

c)

Drawings: 1, 4, and 6

d)

Drawings: 2, 5, 6

36.

A rectangular park is 40 feet by 60 feet. What would be the scale copy dimensions if 1 cm is equal to 5 feet?

a)

200cm and 300cm

b)

8cm and 12 cm

c)

150cm and 220cm

37.
**** On a map, the distance between two towns in 2.6 cm. The scale of the map is 1 cm:50 km. What is the actual distance between the two towns?
a)
100 km
b)
130 km
c)
70 km
d)
150 km
38.

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

39.

Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?

a)

14 in

b)

7 in

c)

42 in

d)

56 in

40.
A model of a planned baseball stadium is 2 ft wide. The scale for the model is 1 foot = 100 yards. What is the width of the actual stadium?
a)
20 yards
b)
2 yards
c)
200 yards
d)
2000 yards

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