Free Printable Scale Factor math test practice

1.

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

2.

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

3.

Scale Factor of ½ is __________________ .

a)

Reduction

b)

Enlargement

4.

Scale Factor of 5 is _________________ .

a)

Reduction

b)

Enlargement

5.

What is a scale drawing?

a)

A drawing that shows a real object enlarged or reduced

b)

A drawing of the weight of an object

c)

A life size drawing of an object

d)

A drawing that shows all the sides of a building

6.

If you want to find the scale factor from one figure to another, which formula should you use?

a)

New/Original

b)

Original/New

c)

Part/Whole

7.

If ΔABC ≅ ΔXYZ, which statement is always true?

a)

AB = YZ

b)

∠C ≅ ∠Z

c)

∠B ≅ ∠C

d)

AC = XY

8.

If ΔABC ≅ ΔXYZ, which statement is always true?

a)

BC = AZ

b)

∠C ≅ ∠Z

c)

∠B ≅ ∠A

d)

AC = XZ

9.

If ΔABC ≅ ΔXYZ, which statement is always true?

a)

AB = AZ

b)

∠B ≅ ∠Y

c)

∠X ≅ ∠C

d)

AC = XC

10.

If ΔDEF ≅ ΔRST, then we can conclude that ST = what?

a)

ST

b)

RT

c)

EF

d)

RF

11.

If ΔDEF ≅ ΔRST, then we can conclude that EF = what?

a)

ST

b)

RT

c)

DF

d)

RS

12.

If ΔDEF ≅ ΔRST, then we can conclude that ∠T ≅ ____.

a)

∠F

b)

∠E

c)

∠D

d)

EF

13.

If ΔDEF ≅ ΔRST, then we can conclude that ∠R ≅ ____.

a)

∠F

b)

∠E

c)

∠D

d)

DF

14.

If ΔDEF ≅ ΔRST, then we can conclude that ∠S ≅ ____.

a)

∠F

b)

∠E

c)

∠D

d)

DE

15.

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

a)

B

b)

C

c)

D

16.

Identify the side length in Figure 1 that corresponds to the side length MQ in figure 2.

a)

BC

b)

AE

c)

CD

d)

DE

17.

Which side length on the scaled copy corresponds to the side length HJ on the original image?

a)

AB

b)

BC

c)

AC

18.

Is Figure B a scaled copy of Figure A? How do you know

a)

Yes. The scale factor is 1/2 or Divide by 2

b)

No

c)

Yes. The scale factor is 2

19.

What is the scale factor from ΔABC to ΔDEF?

a)

1/2

b)

7/3

c)

2

d)

10/3

20.

What is the scale factor? The shape on the LEFT is the original.

a)

4

b)

.25

c)

5

d)

6

21.

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

a)

1/3

b)

48

c)

4

d)

3

22.

Which of the following are scaled copies of the original image? Select ALL that apply

a)

A

b)

B

c)

C

d)

D

23.

What is the corresponding angle ACB?

a)

Line Segment CBA

b)

Line Segment ABC

c)

Line Segment XZY

d)

Line Segment ZYX

24.

Triangle ABC and XYZ are similar. What is the scale factor from ABC to XYZ

a)

2

b)

2.5

c)

2/5 or .4

d)

10

25.

Are the following similar? Why or why not?

a)

Yes. The ratios of the corresponding sides are equal.

b)

No. The ratios of the corresponding sides are not equal.

26.

Tell whether the two figures are similar. Explain your reasoning.

a)

Yes, similar because they are the same shape and side lengths are proportional.

b)

No, not similar because they are the same shape, but side lengths are not proportional.

c)

Yes, same shape

d)

No, different sizes

27.

Are the following similar? Why or why not?

a)

Yes. All pairs of corresponding angles are congruent and the sides are proportional.

b)

No, the corresponding angles are not equal.

c)

No, the ratios of the corresponding sides are not equal.

28.

What is the scale factor from the triangle to the left to the triangle on the right?

a)

2

b)

3/2

c)

2/3

d)

1/2

29.

What is the scale factor from ΔDEF to ΔABC?

a)

1/2

b)

7/3

c)

2

d)

10/3

30.

What is the scale factor from ABCD to MNOP?

a)

2/3

b)

3/2

c)

2

d)

3

31.

Matching angles are called

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Angles

32.

Matching sides are called

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Sides

33.

All angles in similar figures are congruent.

a)

True

b)

False

34.

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

a)

SP and SR

b)

QS and PT

c)

PS and RS

d)

TP and RQ

35.

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

36.

Line CB corresponds with what line?

a)

SR

b)

PQ

c)

SP

d)

RQ

37.

_{Line AB corresponds with what line?}

a)

XZ

b)

XY

c)

YZ

d)

YX

38.

a)

0.25

b)

0.5

c)

2

d)

1/2

39.

If the scale factor is 4, what is the measurement of slide length x?

a)

21

b)

1.25

c)

20

40.

What is the scale factor?

a)

4

b)

6

c)

2.5

d)

1.5

41.

What is the scale factor?

a)

1

b)

2

c)

3

d)

4

42.

Find the triangle similar to △ABC

a)

b)

c)

d)

43.

What is the scale factor from triangle ABC to triangle DEF?

a)

1/2

b)

7/3

c)

2/1

d)

10/3

44.

What is the measurement of x?

a)

20 m

b)

24 m

c)

16 m

d)

4 m

45.

Triangle ABC and XYZ are similar. Use your knowledge of scale factor to find the length of X.

a)

20

b)

25

c)

100

d)

40

46.

Matching sides are called

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Sides

47.

Which side length on the scaled copy corresponds to the side length HJ on the original image?

a)

AB

b)

BC

c)

AC

d)

BA

48.

Is Figure B a scaled copy of Figure A?

a)

Yes

b)

No

49.

Is Figure B a scaled copy of Figure A?

a)

Yes

b)

No

50.

Is Figure B a scaled copy of Figure A?

a)

Yes

b)

No

51.

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

a)

2

b)

1/3

c)

3

d)

2/3

52.

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

a)

scale factor = 4

b)

scale factor = 1/2

c)

scale factor = 3/2

d)

scale factor = 1/4

53.

What is the corresponding angle ACB?

a)

Line Segment CBA

b)

Line Segment ABC

c)

Line Segment XZY

d)

Line Segment ZYX

54.

If ΔDEF is a scale copy of ΔRST, then we can conclude that ST = what?

(hint, draw/ construct both triangles)

a)

ST

b)

RT

c)

EF

d)

RF

55.

What is the scale factor from ABCD to MNOP?

a)

2/3

b)

3/2

c)

2

d)

3

56.

What is the scale factor from MNOP to ABCD?

a)

2/3

b)

1/2

c)

3/2

d)

2

57.

If the original is 12 units and the scale factor is 1/4 what is the size of the scale drawing?

a)

300

b)

4.8

c)

3

d)

4

58.

If the scale factor is 4, what is the measurement of x?

a)

20 m

b)

24 m

c)

16 m

d)

4 m

59.

What is the scale factor?

a)

4

b)

.25

c)

5

d)

6

60.

The two right triangles below are similar. What is x, the missing side length in triangle DEF?

a)

3.75

b)

9.75

c)

10

d)

12

61.

_________ ________ is the number you multiply by the sides to create a similar figure.

a)

Scale Factor

b)

Corresponding Angle

c)

Pi

d)

Mid Point

62.

Line BC corresponds with what line?

a)

XZ

b)

XY

c)

YZ

d)

YX

63.

a)

0.25

b)

0.5

c)

2

d)

1/2

64.

Is Figure B a scaled copy of Figure A?

a)

Yes

b)

No

65.

Which scale factor is an example of a reduction?

a)

r = 1/2

b)

r = 1

c)

3:2

d)

r = 25

66.

Matching sides are called

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Sides

67.

If a Scale Factor if greater than 1, then your figure gets...

a)

Smaller

b)

Bigger

c)

Does not change

68.

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

a)

21

b)

1.25

c)

20

d)

4

69.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

70.

what is the scale factor?

a)

1

b)

3

c)

1/3

d)

8

71.

What is the scale factor?

a)

1

b)

2

c)

1/2

d)

-2

72.

$\ 8\times\frac{1}{4}?$

a)

8

b)

4

c)

2

d)

1

73.

$\ 4\times\frac{3}{2}?\ \ \$

a)

6

b)

3

c)

12

d)

1

74.

A photo has dimensions 12 x 6. Bob wants to get an enlargement that has scale factor 3. What are the dimensions of the new photo?

a)

36 x 18

b)

15 x 9

c)

18 x 9

d)

4 x 2

75.

A photo has dimensions 12 x 6. Bob wants to get an enlargement that has scale factor 3. What are the dimensions of the new photo?

a)

36 x 18

b)

15 x 9

c)

18 x 9

d)

4 x 2

76.

Jane has enlarged this rectangle by a scale factor of 4. What will the enlarged length measure?

a)

3 cm

b)

8 cm

c)

7 cm

d)

6.5 cm

77.

Rashed has enlarged a shape. What will his new width measure if he has enlarged by a scale factor of 6 cm?

a)

48 cm

b)

32 cm

c)

24 cm

d)

40 cm

78.

Sara enlarged her shape by a scale factor of 4. What is the new width measurement of her shape?

a)

71 cm

b)

32 cm

c)

16 cm

d)

24 cm

79.

Wajeed reduced his shape by a scale factor of 6. What is his new length measurement?

a)

5 cm

b)

4 cm

c)

3 cm

d)

2.5 cm

80.

My shape has a length of 7 cm and a width of 9 cm. I enlarge my shape by a scale factor of 5. What are my new measurements?

a)

Length 21 cm and width 27 cm

b)

Length 35 cm and width 18 cm

c)

Length 21.5 cm and width 32cm

d)

Length 35 cm and width 45 cm

81.

My shape has a length of 12 cm and a width of 48 cm. I reduce my shape by a scale factor of 4. What are my new measurement?

a)

Length 2 cm and width 12 cm

b)

Length 3 cm and width 12 cm

c)

Length 7 cm and width 8 cm

d)

Length 2 cm and width 18 cm

82.

Omar drew a triangle that has a length of 14 cm. He enlarged his triangle to scale factor of 3. What is the new length of his triangle?

a)

28 cm

b)

52 cm

c)

36 cm

d)

45 cm

83.

Angles in scaled copies do NOT change.

a)

True

b)

False

84.

Which triangle is a scale copy of the above triangle ?

a)

A

b)

B

c)

C

d)

D

85.

Triangle S and Triangle L are scaled copies of one another.

What is the scale factor from S to L?

a)

6

b)

8

c)

2

d)

1/2

86.

Triangle S and Triangle L are scaled copies of one another.

What is the scale factor from L to S?

a)

3

b)

2

c)

6

d)

1/2

87.

A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7. What are the side lengths of the scaled copy?

a)

5 and 10

b)

14 and 21

c)

5 and 7

d)

9 and10

88.

What is the scale factor?

a)

0

b)

2

c)

1

d)

1/2

89.

What is the scale factor from the original triangle to its copy?

a)

1/2

b)

5

c)

1/5

d)

3

90.

What is the scale factor from the original to the copy?

a)

1

b)

1/2

c)

4

d)

0

91.

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

a)

4

b)

1/2

c)

1/4

d)

8

92.

What is the value of x ?

a)

4.5

b)

3

c)

1/2

d)

2

93.

What is the scale factor?

a)

1/4

b)

2

c)

1/2

d)

7

94.

Name the angle in the scaled copy that corresponds to angle ABC.

a)

PSR

b)

SRQ

c)

QSR

d)

PQR

95.

Name the segment in the scaled copy that corresponds to segment AD.

a)

PQ

b)

PS

c)

SR

d)

QR

96.

9 x ______ = 3

a)

1/2

b)

1/4

c)

1/3

d)

2

97.

Is figure B a scaled copy of figure A?

a)

Yes, with scale factor of 3/4

b)

Yes with scale factor of 2/3

c)

Yes with scale factor of 3/2

d)

No

98.

What is the scale factor from A to B?

a)

3.2

b)

2.5

c)

5.2

d)

0.4

99.

Which side length corresponds to the side length GI on the original image?

a)

AB

b)

AC

c)

BC

100.

What is the scale factor from ABC to GHI?

a)

6

b)

3/4

c)

2/3

d)

4/3

101.

If a scaled copy has a scale factor of 7/9, it is _____ the original.

a)

larger than

b)

smaller than

c)

the same size as

102.

Is Figure B a scale copy of Figure A?

a)

Yes with a scale factor of 10/7

b)

Yes with a scale factor of 4/3

c)

Yes with a scale factor of 14/11

d)

No

103.

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

a)

10/7

b)

5/2

c)

2/5

d)

7/4

104.

One rectangle is a scaled copy of the other. What is the perimeter of the larger rectangle?

a)

36

b)

60

c)

22.5

d)

30

105.

What is the side length of x?

a)

8

b)

15

c)

24

d)

5/3

106.

Use a scale factor of 3 to create a scaled copy of the given shape. What is the perimeter of the scaled copy?

a)

120

b)

360

c)

40/3

d)

240

107.

Use a scale factor of 1/2 to create a scaled copy of the given shape. What is the area of the scaled copy?

a)

10

b)

19

c)

19/2

d)

152

108.

A shape has a perimeter of 10 in. You make a scaled copy using a scale factor of 6. What is the perimeter of the scaled copy?

a)

60 in

b)

360 in

c)

600 in

d)

120 in

109.

Choose all the correct statements:

a)

Angle B is 1/2 the measure of Angle Q

b)

The area of ABCD is 2 times larger than the area of PQRS

c)

The perimeter of ABCD is 2 times larger than the perimeter of PQRS

d)

The scale factor is 1/2

e)

Segment CD is 1/2 as long as Segment RS

110.

Rectangle A measures 4 inches by 6 inches. Rectangle B is a scaled copy of Rectangle A. Select all the measurement pairs that could be the lengths of Rectangle B.

a)

2 inches by 3 inches

b)

24 inches by 36 inches

c)

8/3 inches by 4 inches

d)

10 inches by 12 inches

e)

36 inches by 45 inches

111.

A shape has an area of 12 squared units. You make a scaled copy using a scale factor of 4. What is the area of the scaled copy?

a)

3 squared units

b)

3/4 squared units

c)

48 squared units

d)

192 squared units

112.

Ted has 18 feet of lumber. How many 2 1/2 foot shelves can he make?

a)

7

b)

7 1/4

c)

7 1/5

d)

7 1/3

113.

What is the reciprocal of the number 2 2/3?

a)

8/3

b)

3/8

c)

4/7

d)

2/3

114.

Claire has 38 yards of material for costumes. She needs 2 3/8 yards for each costume. How many costumes can she make?

a)

12

b)

16

c)

36

d)

12 1/2

115.

Divide.
1 5/7 divided by 1 3/7

a)

1 1/5

b)

1 15/49

c)

2 15/49

d)

1 15/49

116.

What is the inverse operation of division?

a)

Multiplication

b)

Addition

c)

Subtraction

d)

Division

117.

A reciprocal is two numbers whose product is 1.

a)

True

b)

False

118.

How many 1/12 are in 5/6 of an hour?

a)

1

b)

2

c)

10

d)

1/10

119.

One debate event lasted 2 4/5 hours. Each contestant spoke for 2/15 of an hour. How many contestants were there?

a)

2 8/15

b)

12

c)

21

d)

22

120.

\frac{1}{4}

\div3\ \frac{1}{5}

a)

5/64

b)

16/20

c)

5/60

121.

$\frac{1}{4}$ $\div$ $1\ \frac{5}{6}$

a)

$\frac{3}{22}$

b)

$\frac{11}{24}$

c)

$1\ \frac{1}{6}$

d)

$\frac{11}{6}$

122.

Carli has $2\ \frac{1}{5}$
walls left to paint in order for all the bedrooms in her house to have the same color paint. However, she has used almost all of her paint and only has $\frac{2}{5}$
of a gallon left. How much paint can she use on

each wall in order to have enough to paint the remaining walls?

a)

$\frac{2}{11}$

b)

$5\ \frac{1}{2}$

c)

$3\ \frac{9}{12}$

d)

$\frac{22}{25}$

123.

$1\ \frac{1}{3}$ $\div\ \frac{1}{5}$

a)

$6\frac{2}{3}$

b)

$10\ \frac{1}{2}$

c)

$6$

d)

$6\ \frac{20}{3}$

e)

$\frac{4}{15}$

124.

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

a)

$\frac{1}{10}$

b)

$\frac{9}{16}$

c)

$\frac{5}{8}$

125.

2 ¼ ÷ 4 ⅕ =

a)

11/26

b)

⅝

c)

⅞

d)

15/28

126.

a)

2 ¹/₅

b)

2 ⁴/₁₅

c)

6 ⁸/₁₅

d)

1 ¹/₅

127.

It took Ellie's mother 1/6 hour to drive him to school. It took Alex 4 times as long as this to walk to school. How long did it take Alex to walk to school?

a)

$\frac{4}{6}$ hour

b)

$\frac{1}{24}$ hour

c)

$\frac{4}{24}$ hour

d)

$\frac{1}{10}$

128.

Write your answer in a mixed number or a whole number, when possible.

7 x $\frac{5}{8}$

a)

4 $\frac{3}{8}$

b)

$\frac{35}{8}$

c)

35 $\frac{1}{8}$

d)

$\frac{35}{56}$

Scale Factor math test practice

Total questions: 128

Worksheet time: 6hrs 23mins

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