Free Printable QUIZ RETAKE TOPIC 3 LESSON 2

1.

What is the prime factorization of 36?

(Draw a factor tree on your paper. List all the prime numbers at the ends of the branches as a multiplication sentence.)

a)

2 * 3

b)

2 * 2 * 3 * 3

c)

2 * 2 * 3

d)

3 * 3 * 3 * 2

2.

What is the prime factorization of 100?

(Draw a factor tree on your paper. List all the prime numbers at the ends of the branches as a multiplication sentence.)

a)

5 * 2

b)

2 * 2 * 5

c)

2 * 2 * 5 * 5

d)

5 * 2 * 2 * 2

3.

Draw a Venn Diagram on your paper like this one.

Using your factor trees, list the SHARED multiples of 36 and 100.

The shared factors are (a) and (b) . This means that the GCF is the product of those factors, or (c) .

Choose from the below words

2

3

5

7

11

4

8

12

4.

What is the GCF (greatest common factor) of 21 and 84?

On your paper, show the factor trees for each AND a Venn Diagram.

a)

3

b)

21

c)

7

d)

42

e)

6

5.

Which of the following is equivalent to 30 + 50?

Show your work on your paper.

a)

10(30+50)

b)

10(3+5)

c)

5(6+9)

d)

5(5+10)

e)

10(20+30)

6.

What is the GCF (greatest common factor) of 60 and 48?

On your paper, show the factor trees for each AND a Venn Diagram.

a)

2

b)

10

c)

12

d)

6

e)

4

7.

Create the correct distributive property expression for 60 - 48 by factoring out the GCF from the last question.

Hint: Write down the correct answer on your paper. Start with the GCF outside the parenthesis.

a)

8

b)

10

c)

12

d)

4

e)

5

f)

6

1

2

3

1)

2)

3)

8.

What is the GCF (greatest common factor) of 18 and 24?

On your paper, show the factor trees for each AND a Venn Diagram.

a)

2

b)

10

c)

12

d)

6

e)

3

9.

Create the correct distributive property expression for 18 + 24 by factoring out the GCF from the last question.

Hint: Write down the correct answer on your paper. Start with the GCF outside the parenthesis.

a)

8

b)

2

c)

6

d)

4

e)

3

f)

12

1

2

3

1)

2)

3)

10.

What is the LCM (Least Common Multiple) of 4 and 10?

On your paper, list the multiples of 4 and 10 until you find the match.

11.

Is this a correct answer?

This does NOT have to go on your paper.

a)

Yes, the student correctly added.

b)

No, you cannot add unlike denominators

c)

No, 5 + 7 is not 12

d)

No, 2 + 3 is not 5

12.

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

On your paper, demonstrate finding the least common multiple for the denominator and rewriting the fractions to add them.

a)

$\frac{9}{10}$

b)

$\frac{3}{7}$

c)

$\frac{1}{3}$

d)

$\frac{9}{20}$

13.

Mr. Brewer and Mr. Cowden were eating pizza. Mr. Brewer ate $\frac{3}{12}$ of the pizza. Mr. Cowden ate $\frac{3}{6}$ of the pizza. What fraction of the pizza was NOT eaten?

On your paper, show the work.

14.

What would be the EXPANDED prime factorization of the number 18?

a)

2 x 3 x 3

b)

3 x 6

c)

2 x 9

d)

2 x 3

15.

What would be the prime factorization of the number 75?

a)

5 x 5 x 5

b)

3 x 3 x 5

c)

3² x 5

d)

3 x 5²

16.

Find the GCF of:

a)

1

b)

15

c)

115

d)

345

17.

Which answer would represent the GCF and Distributive Property of the numbers pictured?

a)

12 ( 2 + 1 )

b)

6 ( 2 + 1 )

c)

6 ( 4 + 2 )

d)

4 ( 6 + 3 )

18.

Find the GCF:

a)

5

b)

1

c)

30

d)

10

19.

Find the GCF:

a)

1

b)

2

c)

8

d)

12

20.

Answer the following question by finding the GCF.

a)

18

b)

9

c)

12

d)

1

21.

Find the LCM of:

a)

1

b)

5

c)

10

d)

20

22.

Find the LCM of:

a)

60

b)

1

c)

30

d)

3

23.

Which answer would represent the GCF and Distributive Property of the numbers pictured?

a)

1 ( 9 + 21 )

b)

9 ( 1 + 3 )

c)

3 ( 3 + 7 )

d)

3 ( 3 + 9 )

24.

Answer the following question by finding the LCM.

a)

90 minutes

b)

30 minutes

c)

1:45pm

d)

1:00pm

25.

Is 49 prime or composite?

a)

Prime

b)

Composite

26.

Is 63 prime or composite?

a)

Prime

b)

Composite

27.

Is 37 prime or composite?

a)

Prime

b)

Composite

28.

What is the expanded prime factorization of 36?

a)

2 x 18

b)

2 x 2 x 3 x 3

c)

2 x 2 x 9

d)

2 x 2 x 2 x 3

29.

What is the standard prime factorization of 18?

a)

$2\ x\ 3^2$

b)

$2\times9$

c)

$2^2\times3$

d)

$3\times6$

30.

Tommy has 24 football cards and 40 baseball cards. What is the greatest number of friends Tommy could equally split his cards between?

a)

8 friends

b)

4 friends

c)

2 friends

d)

12 friends

31.

What is the GCF of 7 and 15?

a)

2

b)

1

c)

7

d)

60

32.

Every 4th student in the lunch line gets a free milk, and every 6th student in the lunch line gets a free fruit. What student would be the first to receive a free milk and fruit?

a)

4th student

b)

6th student

c)

12th student

d)

24th student

33.

Find the LCM of 10 and 12.

a)

2

b)

20

c)

1

d)

60

34.

What is the greatest common factor (GCF) of 20 and 30?

a)

60

b)

5

c)

10

d)

30

35.

What is the greatest common factor (GCF) of 24 and 30?

a)

2

b)

12

c)

6

d)

3

36.

What is the greatest common factor (GCF) of 18 and 24?

a)

3

b)

6

c)

8

d)

9

37.

Find the least common multiple (LCM) of 9 and 5.

a)

5

b)

9

c)

45

d)

36

38.

What is the least common multiple (LCM) of 3 and 20?

a)

60

b)

40

c)

20

d)

3

39.

Use a factor tree to find the prime factorization of 18

a)

3x2x2

b)

3x3x3

c)

33x3

d)

3x3x2

40.

Using a factor tree, to find the prime factorization of

48

a)

12x2x2

b)

6x8

c)

8x3x2

d)

3x2x2x2x2

41.

Rewrite using distributive property and GCF. 24+30

a)

6(4+5)

b)

8(3+4)

c)

6(4) + 6(2)

d)

6x2+5

42.

Rewrite using distributive property and GCF. 35+21

a)

49(5+3)

b)

7(5+3)

c)

7(28+14)

d)

49(28+14)

43.

Find the greatest common factor (GCF) of 21 and 28

a)

3

b)

4

c)

7

d)

14

44.

What is the LCM for 4 and 7?

a)

4

b)

7

c)

14

d)

28

45.

What is the LCM for 3 and 9?

a)

3

b)

9

c)

27

d)

18

46.

What is the LCM for 5 and 8?

a)

5

b)

8

c)

20

d)

40

47.

What is the GCF of 18 and 24?

a)

3

b)

6

c)

8

d)

9

48.

What is the GCF of 4 and 12?

a)

3

b)

1

c)

6

d)

4

49.

What is the greatest factor of 28 and 49?

a)

1

b)

2

c)

7

d)

12

50.

Which is the prime factorization of 12 ?

a)

2 x 6

b)

2 + 2 + 2 + 2 + 2 + 2

c)

2²x 3

d)

1 x 2²x 3

51.

What is the prime factorization of 16 ?

a)

1 x 16

b)

2²x 4

c)

2⁴

d)

2² + 2²

52.

Find the prime factorization of 72

a)

2³x 3²

b)

2 x 3² x 4

c)

2⁴ x 3³

d)

2² x 6²

53.

Rewrite using distributive property and GCF.
24 + 30

a)

6(4+5)

b)

8(3+4)

c)

6(4) + 6(2)

d)

6x2+5

54.

8(3 + 4) =

a)

24 + 32

b)

11 + 12

c)

123 + 124

d)

5 + 4

55.

Factor this expression using GCF:
36 + 24

a)

2 (18 + 12)

b)

3 (12 + 8)

c)

6(6 + 4)

d)

12 ( 3 + 2)

56.

8(3 + 4) =

a)

24 + 32

b)

11 + 12

c)

123 + 124

d)

5 + 4

57.

6

a)

Prime

b)

Composite

58.

17

a)

Prime

b)

Composite

59.

21

a)

Prime

b)

Composite

60.

65

a)

Prime

b)

Composite

61.

What is the LCM of 2 and 14?

a)

28

b)

7

c)

14

d)

2

62.

Match the following

a)

35 + 28

1.

7 (5 + 4)

b)

56 + 42

2.

7 (8 + 6)

c)

14 + 77

3.

7 (2 + 11)

d)

27 + 12

4.

3 (9 + 4)

e)

18 + 36

5.

6 (3 + 6)

63.

8 x 12 = 8 ( (a) +10)

Choose from the below words

2

12

16

10

80

96

64.

What numbers are missing in the factor tree?

a)

2

b)

3

c)

9

d)

6

e)

5

1

2

1)

2)

65.

Find the equivalent expression.

9 x 9 x 9 x 9 x 9

a)

9⁵

b)

9¹⁵

c)

9 x 5

d)

9 + 9 + 9 + 9+ 9

66.

Choose the answer.
5²

a)

10

b)

15

c)

20

d)

25

67.

GCF of 18 and 24

a)

2

b)

3

c)

4

d)

6

68.

What is the least common multiple (LCM) of 5 and 20?

a)

4

b)

5

c)

20

d)

100

69.

What is the least common multiple (LCM) of 4 and 10?

a)

4

b)

40

c)

15

d)

20

70.

What is the least common multiple (LCM) of 6 and 8?

a)

6

b)

8

c)

48

d)

24

71.

35 + 40 = 5(7 + ___)

a)

5

b)

6

c)

7

d)

8

72.

Using distributive property and GCF find an equivalent expression for:

24 + 30

a)

6(4+5)

b)

8(3+4)

c)

6(4) + 6(2)

d)

6x2+5

73.

GCF of 24 and 56

a)

2

b)

4

c)

6

d)

8

74.

Using the Distributive Property, find an equivalent expression for:

8(3 + 4) =

a)

24 + 32

b)

11 + 12

c)

123 + 124

d)

5 + 4

75.

Use the distributive property to fill in the blank below with a number that makes the equation true.

(a)

76.

Use the distributive property to fill in the blank below with a number that makes the equation true.

(a)

77.

Which expressions are equal to the sum of 21 + 49? Choose ALL that apply.

a)

7(4 + 7)

b)

7(3 + 7)

c)

2(7 + 17)

d)

(7 + 3) + (7 + 7)

e)

(7 x 3) + (7 x 7)

78.

How can 5(3 +2) be expressed using the distributive property?

a)

5(3) x 5(2)

b)

(5 x 3) x (5 x 2)

c)

5(3) + 5(2)

d)

(5 + 3) x (5+2)

79.

Monica uses the distributive property to write an equivalent expression to 32 + 40.

Which expression did Monica write?

a)

8(4 + 5)

b)

4(16 + 10)

c)

8(26 + 32)

d)

4(8 + 10)

80.

Sonia is solving the problem 3(4 + 6) using an area model.

Which area model correctly solves Sonia's problem?

a)

b)

c)

d)

81.

Rewrite the numeric expression using the Distributive Property and the GCF (greatest common factor).

36 + 60

a)

6 (7 + 10)

b)

12 (3 + 5)

c)

18 (2 + 10)

d)

24 (1 + 2)

82.

$3^3\ =$

a)

9

b)

27

c)

18

d)

81

83.

$25^0\ =$

a)

25

b)

0

c)

1

d)

250

84.

$5^2\ =$

a)

10

b)

5

c)

20

d)

25

85.

$4^2\ \ \ \ \ \ \ \ \ \ 2^4$

a)

<

b)

>

c)

=

86.

$72^0\ \ \ \ \ \ \ \ \ \ \ 45^{1\ \ \ \ \ }$

a)

<

b)

>

c)

=

87.

$5^2\ \ \ \ \ \ \ \ \ \ 2^3$

a)

<

b)

>

c)

=

88.

What is the prime factorization of 84?

a)

2 • 2 • 3 • 7

b)

4 • 21

c)

2 • 3 • 7

d)

2 • 6 • 7

89.

What is the prime factorization of 45?

a)

1 • 3 • 3 • 5

b)

9 • 5

c)

3 • 3 • 5

d)

3 • 15

90.

Find the GCF of 48 and 60.

a)

4

b)

12

c)

6

d)

22

91.

Find the GCF of 81 and 54.

a)

27

b)

3

c)

9

d)

18

92.

Use GCF and the Distributive Property to find the sum of 81 + 18

a)

3(9 + 6)

b)

18(7 + 1)

c)

9(9 +2)

93.

Use GCF and the Distributive Property to find the sum of 44 + 77

a)

11(4 + 7)

b)

4 + 7(11)

c)

11(4 +3)

94.

Find the LCM of 6 and 21

a)

21

b)

126

c)

42

d)

3

95.

Find the LCM of 15 and 20.

a)

5

b)

60

c)

300

d)

30

96.