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Scale Factors and Drawings Test

Total questions: 20

Worksheet time: 3hrs 20mins

Name
Class
Date
1.

What side corresponds to side EF?

a)

side AB

b)

side BC

c)

side AC

d)

side DF

2.

ABCD is the original, EFGH is the copy. What is the SCALE FACTOR?

a)

2

b)

3

c)

4

d)

6

3.

A playground is 120 ft long and 100 ft wide. If it is 24 cm long in my drawing, how wide is my drawing?

a)

20 cm

b)

32 cm

c)

40 cm

d)

44 cm

4.
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
5.
Amanda made a scale drawing of a square garden, which has a side length of 25 feet. She used the scale 2 inches = 5 feet.

What will be the area of the scale drawing?
a)
10 in²
b)
25 in²
c)
100 in²
d)
484 in²
6.
Scale Factor of ½ is __________________ .
a)
Reduction
b)
Enlargement
7.
Scale Factor of 5 is _________________ .
a)
Reduction
b)
Enlargement
8.
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
9.

A flagpole uses a scale of 1 inch = 4 feet.

If the pole measures 12 inches, how tall is the actual pole?

a)

16 feet

b)

3 feet

c)

48 feet

d)

9 feet

10.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
11.

ΔPQR is similar to ΔSTU\Delta PQR\ is\ similar\ to\ \Delta STU  What side corresponds to side UT?

a)

PQ

b)

RQ

c)

QR

d)

QP

12.
When you multiply by a scale factor over 1, it will result in ...
a)
a reduction.
b)
the same size.
c)
an enlargement.
d)
a different shape.
13.
a)
0.25
b)
0.5
c)
2
d)
1/2
14.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
15.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
16.
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 
17.
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
18.

Identify the scale factor. Write in simplest form. Reduce it as you would reduce

fraction.

toy alligator (inches) = 7

Real alligator (inches) = 175

a)

125\frac{1}{25}  

b)

115\frac{1}{15}  

c)

7

d)

175

19.
What is the scale factor from ABCD to MNOP?
a)
2/3
b)
3/2
c)
2
d)
3
20.

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