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Chapter 1 Review

Total questions: 81

Worksheet time: 7hrs 45mins

Name
Class
Date
1.

Write the product as a power.

3 x 3 x 3 x 3 x 3 x 3

a)

35

b)

63

c)

36

d)

729

2.

Find the value of the power.

33

a)

9

b)

33

c)

27

d)

3 x 3 x 3

3.

Select all of the factor pairs of 28.

a)

1, 28

b)

2, 14

c)

3, 12

d)

4, 7

e)

5, 6

4.

What is the prime factorization of 42?

a)

6 x 7

b)

3 x 3 x 7

c)

2 x 3 x 7

d)

2 x 2 x 2 x 3

5.

What does GCF stand for?

a)

Greatest Common Facts

b)

Great Composite Figure

c)

Good Calculator Fun

d)

Greatest Common Factor

6.

(a)   is the GCF of 30 and 48.

7.

What does LCM stand for?

a)

Least Common Meaning

b)

Least Common Multiplication

c)

Least Common Multiple

d)

Lost Calculator Missing

8.

(a)   is the LCM of 6 and 20.

9.

Which of the following are prime numbers? Select All correct answers.

a)

1

b)

2

c)

3

d)

4

e)

5

10.

Which of the following are composite numbers? Select ALL correct answers.

a)

6

b)

7

c)

8

d)

9

e)

10

11.

What does 75 mean?

a)

7x7x7x7x7

b)

7x5

c)

5x7

d)

5x5x5x5x5x5x5

12.

Simplify


18 × 3 ÷ 33

a)

54

b)

27

c)

2

d)

9

13.

Simplify


36 + 16 - 50

a)

2

b)

70

c)

30

d)

8

14.

Simplify


(4 ÷ 2) × 9 + 11

a)

160

b)

36

c)

83

d)

29

15.

What is the prime factorization of 36?

a)

2 x 2 x 3

b)

2 x 3 x 3

c)

2 x 2 x 3 x 3

d)

2 x 2 x 2 x 3

16.

What is the prime factorization of 84?

a)

2 x 3 x 7

b)

2 x 3 x 3

c)

3 x 3 x 7

d)

2 x 2 x 3 x 7

17.

What are the common factors of 16 and 24?

a)

1, 2, 8, 24

b)

1, 2, 4

c)

1, 2, 4, 8

d)

1, 2, 4, 16

18.

What is the GCF of 40 and 100?

a)

10

b)

20

c)

40

d)

200

19.

What are the first TWO common multiples of 6 and 12

a)

1 and 2

b)

2 and 6

c)

6 and 12

d)

12 and 24

20.

What is the LCM of 15 and 40?

a)

30

b)

40

c)

80

d)

120

21.

What is the square of 7 OR 72 ?

a)

7

b)

14

c)

49

d)

70

22.

What is the square of 12 OR 122 ?

a)

24

b)

48

c)

96

d)

144

23.

What is the cube of 8 OR 83 ?

a)

24

b)

64

c)

256

d)

512

24.

 42 + 83 ÷ 234^2\ +\ 8^{3\ }\div\ 2^3  

a)

66

b)

80

c)

132

d)

144

25.

 73  × 32 537^{3\ \ }\times\ 3^2\ -5^3  

a)

119

b)

316

c)

2962

d)

3062

26.

A prime number has

a)

has one factor

b)

has exactly two factors, 1 and the number itself

c)

has more than 2 factors

27.

Which list has only prime numbers

a)

2, 3, 4, 5

b)

1, 5, 7, 9

c)

2, 3, 5, 7

28.

Composite Numbers

a)

are always numbers that a larger than prime numbers

b)

have more than 2 factors

c)

only 2 unique factors

29.

12. Which of the following numbers shows all of the factors of 12?

a)

2,4,6,8,10,12

b)

1,2,3,4,6,12

c)

1,2,3,4,6,8,12

30.

Which number is composite?

a)

21

b)

11

c)

31

31.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 ?

a)

767^6

b)

676^7

c)

757^5

32.

What is nine cubed in exponential form?

a)

939^3

b)

9999\cdot9\cdot9

33.

In the expression 34, the three represents____________ ?

a)

the exponent

b)

the power

c)

the base

34.

Which is the prime factorization of 12 ?

a)

2 x 6

b)

2 + 2 + 2 + 2 + 2 + 2

c)

22 x 3

35.

Find the prime factorization for 80

a)

42 ⋅ 5

b)

24 ⋅ 5

c)

8 ⋅ 5 ⋅ 2

36.

Which list has only prime numbers

a)

2, 3, 4, 5

b)

1, 5, 7, 9

c)

2, 3, 5, 7

37.
What would be my first step in solving this problem?
3 + 4 ∗ 6 - 4
a)
addition
b)
multiplication
c)
subtraction
d)
exponents
38.
Solve the following:
25 ÷ 5 × 3 – 3
a)
12
b)
2
c)
0
d)
300
39.
2 + (9- 4)
a)
16
b)
77
c)
79
40.
(7 + 9) ÷ (6 - 2) x 8 ÷ (3 + 5)
a)
1
b)
2
c)
3
d)
4
41.
9 + 10 x (8 - 6) ÷ (3 + 7) x 4
a)
17
b)
47
c)
14
d)
27
42.
What is the least common multiple of 6 and 8?
a)
12
b)
24
c)
32
d)
48
43.
What is the Greatest Common Factor of 12 and 24?
a)
48
b)
24
c)
6
d)
12
44.

Evaluate the expression: 30 - 3 + 6 x 4

a)

132

b)

51

c)

3

d)

108

45.

What is the least common multiple of 10 and 15?

a)

30

b)

5

c)

150

d)

60

46.

List all the factors of 81

a)

1, 81

b)

1, 9

c)

1, 9, 81

d)

1, 3, 9, 27, 81

47.

List all the factors of 54

a)

1, 54

b)

1, 2, 27, 54

c)

1, 2, 3, 6, 9, 18, 27, 54

d)

1, 2, 3, 18, 27, 54

48.

List all the factors of 47

a)

1, 47

b)

1, 4, 7, 47

c)

1, 2, 23, 47

d)

1, 3, 15, 47

49.

List the first five multiples of 13

a)

1, 13

b)

13, 26, 39, 52, 65, ...

c)

26, 39, 52, 65, 78, ...

d)

1, 3, 13

50.

Write 2 x 2 x 3 x 4 x 4 in exponential notation

a)

22 x 3 x 42

b)

3 x 43

51.
What number is a factor for EVERY number?
a)
0
b)
1
c)
2
d)
100
52.

Write the prime factorization of the number:

60

a)

2 × 2 × 3 × 5

b)

5 × 6 × 7

c)

2 × 3 × 3 × 7

d)

4 × 3 × 5

53.

Write the prime factorization of the number:

42

a)

3 × 4 × 4

b)

6 × 7

c)

2 × 3 × 7

d)

2 × 4 × 5

54.

Write the prime factorization of the number:

72

a)

2 x 2 x 2 x 3 x 3

b)

4 x 3 x 3 x 2

c)

4 x 2 x 2 x 2 x 2

d)

8 × 9

55.

Write the prime factorization of the number:

18

a)

92

b)

22 × 3

c)

2 × 32

d)

33

56.

Find the Greatest Common Factor of:

45, 60

a)

5

b)

3

c)

15

d)

20

57.

Find the Greatest Common Factor of:

27, 63

a)

9

b)

27

c)

3

d)

6

58.

Find the Greatest Common Factor of:

72, 84

a)

2

b)

12

c)

9

d)

3

59.

Find the Least Common Multiple of:

22, 33

a)

66

b)

11

c)

55

d)

3

60.

Find the Least Common Multiple of:

36, 60

a)

180

b)

72

c)

360

d)

120

61.

Find the Least Common Multiple of:

15, 30

a)

30

b)

60

c)

45

d)

55

62.
40+(72÷9)÷8
a)
49
b)
25
c)
41
d)
15
63.
4x5÷2-1
a)
8
b)
9
c)
15
d)
6
64.
(4x8)-(9+7)
a)
16
b)
25
c)
41
d)
32
65.

 518÷3(2)5-18÷3(2)  Simplify 

a)

 1-1  

b)

 2-2  

c)

 7-7  

66.
Find the prime factorization for 112.
a)
4 x 28
b)
2 x 2 x 4 x 7
c)
7 x 16
d)
2 x 2 x 2 x 2 x 7
67.
Find the prime factorization for 84
a)
2 x 5 x 10
b)
12 x 7
c)
2 x 3 x 7
d)
2 x 2 x 3 x 7
68.
What is the least common multiple of 4 & 12?
a)
48
b)
2
c)
12
d)
24
69.
Find the LCM of 5, 8, & 4
a)
40
b)
10
c)
20
d)
80
70.
Find the GCF of 20 & 50
a)
50
b)
100
c)
2
d)
10
71.

What is the Least Common Multiple of 7 and 9?

a)

63

b)

54

c)

35

d)

29

72.

What is the greatest common factor of 36 and 40?

a)

2

b)

9

c)

4

d)

8

73.
Which is a NOT a factor of 9?
a)
0
b)
1
c)
3
d)
9
74.

Solve: 132

a)

140

b)

26

c)

13

d)

169

75.

Solve:

2 x 4 + 32

a)

10

b)

15

c)

17

d)

10

76.

Solve: 64  ÷\div  16 + 5 x 3

a)

10

b)

22

c)

19

d)

16

77.

Solve: 10 - 3 + 5 ÷ 5 x 4

a)

11

b)

14

c)

8

d)

19

78.

Find the GCF of 18 and 78

a)

3

b)

12

c)

6

d)

10

79.

Find the GCF of 9 and 42

a)

9

b)

3

c)

6

d)

42

80.

Find the LCM of 9 and 12

a)

36

b)

42

c)

9

d)

3

81.

Find the LCM of 8 and 14

a)

8

b)

14

c)

60

d)

56