Free Printable Math 6 First Trimester Exam Review

1.

Use divisibility rules to determine if 846 is divisible by any of these numbers: 2, 3, 4, 5, 6, 9, or 10. If the number is not divisible by any of these numbers, write "none."

a)

2, 3, 6

b)

2, 3, 4, 6

c)

2, 3, 4, 6, 9

d)

None

2.

Use divisibility rules to determine if 1260 is divisible by any of these numbers: 2, 3, 4, 5, 6, 9, or 10. If the number is not divisible by any of these numbers, write "none."

a)

2, 3, 4, 5, 6, 9, 10

b)

2, 3, 5, 6, 10

c)

2, 3, 4, 5, 6, 9

d)

2, 3, 4, 5, 6

3.

Use divisibility rules to determine if 457 is divisible by any of these numbers: 2, 3, 4, 5, 6, 9, or 10. If the number is not divisible by any of these numbers, write "none."

a)

2, 3, 5

b)

3, 6, 9

c)

None

d)

2, 4, 10

4.

Use divisibility rules to determine if 765 is divisible by any of these numbers: 2, 3, 4, 5, 6, 9, or 10. If the number is not divisible by any of these numbers, write "none."

a)

3, 5, 9

b)

2, 3, 5, 6

c)

2, 4, 10

d)

3, 5, 6

5.

Determine whether 87 is prime or composite.

a)

Prime

b)

Composite

c)

Neither

d)

Both

6.

Determine whether 197 is prime or composite.

a)

Prime

b)

Composite

c)

Neither

d)

Both

7.

Determine whether 53 is prime or composite.

a)

Prime

b)

Composite

c)

Neither

d)

Both

8.

Determine whether 219 is prime or composite.

a)

Prime

b)

Composite

c)

Neither

d)

Both

9.

Write the prime factorization of 224.

a)

2 × 2 × 2 × 2 × 2 × 7

b)

2 × 2 × 2 × 7

c)

2 × 2 × 2 × 2 × 7

d)

2 × 2 × 7 × 7

10.

Write the prime factorization of 495.

a)

3 × 3 × 5 × 11

b)

3 × 5 × 11

c)

5 × 9 × 11

d)

3 × 5 × 9 × 11

11.

Find the greatest common factor (GCF) of 40 and 72.

a)

8

b)

4

c)

2

d)

10

12.

Find the greatest common factor (GCF) of 54 and 126.

a)

18

b)

27

c)

9

d)

6

13.

Find the greatest common factor (GCF) of 75 and 180.

a)

15

b)

25

c)

5

d)

75

14.

Find the least common multiple (LCM) of 10 and 18.

a)

90

b)

180

c)

36

d)

20

15.

Find the least common multiple (LCM) of 21 and 28.

a)

84

b)

49

c)

42

d)

56

16.

Find the least common multiple (LCM) of 32 and 24.

a)

96

b)

48

c)

64

d)

72

17.

A gym teacher is dividing up 96 red bean bags and 64 blue bean bags into buckets for a game. What is the greatest number of buckets needed if each color bag is equally distributed to each bucket with no bags leftover? Indicate whether you will use a GCF or LCM to solve the problem. Then solve.

a)

Use GCF; 32 buckets

b)

Use LCM; 192 buckets

c)

Use GCF; 8 buckets

d)

Use LCM; 64 buckets

18.

Myra takes a cycling class at the gym every 7 days and Jenson takes the same cycling class every 21 days. If they both took the class today, after how many days will they take the class on the same day again?

a)

21 days

b)

14 days

c)

28 days

d)

7 days

19.

Which integer models a $40 withdrawal?

a)

40

b)

-40

c)

0

d)

4

20.

What is the opposite of the integer 7?

a)

-7

b)

7

c)

0

d)

1

21.

What is the absolute value of -6?

a)

6

b)

-6

c)

0

d)

12

22.

Order the following integers from least to greatest: -9, -18, 5, 0, -13, 2

a)

-18, -13, -9, 0, 2, 5

b)

5, 2, 0, -9, -13, -18

c)

-9, -18, 0, 2, 5, -13

d)

-18, -9, -13, 0, 2, 5

23.

What is the sum of 7 + (-4)?

a)

3

b)

11

c)

-3

d)

-11

24.

What is the result of 21 + (-16)?

a)

5

b)

37

c)

-5

d)

16

25.

What is the difference: 14 - (-8)?

a)

22

b)

6

c)

-22

d)

2

26.

What is the product of 5 × (-9)?

a)

-45

b)

45

c)

-14

d)

9

27.

If the temperature rises by 15°, which integer models this situation?

a)

-15

b)

15

c)

0

d)

1

28.

Order the following integers from least to greatest: -37, -28, 5, 12, -45

a)

-45, -37, -28, 5, 12

b)

12, 5, -28, -37, -45

c)

-37, -45, -28, 5, 12

d)

-28, -37, -45, 5, 12

29.

Strategic Thinking: If the temperature drops by 9.4° and then rises by 15°, what is the net change in temperature?

a)

5.6°

b)

-5.6°

c)

24.4°

d)

-24.4°

30.

Strategic Thinking: If you start at -8 and add 5, where do you end up on the number line?

a)

-3

b)

3

c)

-13

d)

13

31.

Strategic Thinking: What is the quotient of -32 ÷ (-4)?

a)

8

b)

-8

c)

4

d)

-4

32.

Kathy subscribes to a camera that she pays monthly for service. If the adorable camera company drafts the bank account each month for the service, find the total from this service bank account in one year if the monthly charge is $16.

a)

$192

b)

$16

c)

$138

d)

$12

33.

The highest elevation in California is 14,505 feet. If this is 11,787 feet higher than the lowest elevation in California, find the lowest elevation.

a)

2,718 feet

b)

26,292 feet

c)

14,505 feet

d)

11,787 feet

34.

Marcus bought a new computer. The change in value was recorded at $-138 each year after he purchased it. If in 2 years the computer was worth $-276 less than its original value, find the average change in the value each year.

a)

$-138

b)

$-276

c)

$-69

d)

$138

35.

The temperature of a liquid was recorded at 71°F. If the temperature decreases at 2°F every minute, find the temperature of the liquid 15 minutes later.

a)

41°F

b)

56°F

c)

71°F

d)

30°F

36.

Which of the following is the correct exponential form for multiplying (-5) four times?

a)

$(-5)^4$

b)

$4^{-5}$

c)

$(-5)^3$

d)

$(-4)^5$

37.

Is 324 a perfect square? If yes, rewrite it as a number squared.

a)

Yes, $18^2$

b)

No, it is not a perfect square

c)

Yes, $12^2$

d)

Yes, $16^2$

38.

Evaluate $3^3$ .

a)

27

b)

9

c)

6

d)

81

39.

Write 10,000,000 as a power of 10.

a)

$10^7$

b)

$10^6$

c)

$10^8$

d)

$10^5$

40.

Is 121 a perfect square? If yes, rewrite it as a number squared.

a)

Yes, $11^2$

b)

No, it is not a perfect square

c)

Yes, $12^2$

d)

Yes, $10^2$

41.

What is the value of the expression: 7 + 6 × (3 + 5)?

a)

55

b)

50

c)

65

d)

61

42.

Simplify the expression: –18 + 5 × 3²

a)

27

b)

-117

c)

117

d)

-27

43.

What is the result of the following expression: (24 ÷ 4 + 2) ÷ 2?

a)

-4

b)

2

c)

4

d)

6

44.

Simplify: 2 × (6 + 7) – 9 + 14

a)

25

b)

17

c)

31

d)

29

45.

What is the value of 5 – (–1 + 9)² ÷ 2?

a)

–27

b)

–45

c)

27

d)

45

46.

Find the greatest common factor (GCF) of 54 and 36.

a)

18

b)

9

c)

12

d)

6

47.

What is the value of 8 + (-15)?

a)

-7

b)

7

c)

-23

d)

23

48.

Determine whether 101 is prime or composite.

a)

Composite

b)

Both

c)

Neither

d)

Prime

49.

Which of the following numbers is a perfect square?

a)

150

b)

135

c)

130

d)

144

50.

Simplify the expression: 4 × (7 – 2) + 6

a)

26

b)

18

c)

34

d)

20

51.

Write 1,000,000 as a power of 10.

a)

$10^6$

b)

$10^8$

c)

$10^5$

d)

$10^7$

52.

What is the value of the expression: 4 × (7 + 2) – 5?

a)

31

b)

27

c)

29

d)

33

53.

Find the greatest common factor (GCF) of 42 and 70.

a)

14

b)

7

c)

21

d)

35

54.

Order the following integers from least to greatest: -15, 8, -22, 0, 3

a)

-22, 0, -15, 3, 8

b)

-15, -22, 0, 3, 8

c)

8, 3, 0, -15, -22

d)

-22, -15, 0, 3, 8

55.

Which of the following numbers is a prime number?

a)

49

b)

55

c)

47

d)

51

56.

What is the value of 4 × (5 + 3) – 6?

a)

26

b)

18

c)

32

d)

20

57.

Find the greatest common factor (GCF) of 42 and 70.

a)

7

b)

35

c)

21

d)

14

58.

Find the greatest common factor (GCF) of 42 and 70.

a)

21

b)

7

c)

14

d)

35

59.

Order the following integers from least to greatest: -15, 8, -3, 0, -22, 5

a)

-22, -15, -3, 0, 5, 8

b)

8, 5, 0, -3, -15, -22

c)

-15, -22, -3, 0, 5, 8

d)

-3, -15, -22, 0, 5, 8

60.

Use divisibility rules to determine if 1440 is divisible by any of these numbers: 2, 3, 4, 5, 6, 9, or 10. If the number is not divisible by any of these numbers, write "none."

a)

2, 3, 4, 5, 6, 9, 10

b)

2, 3, 4, 5, 6, 10

c)

2, 3, 4, 5, 6

d)

None

61.

Find the least common multiple (LCM) of 12 and 15.

a)

45

b)

30

c)

180

d)

60

62.

Order the following integers from least to greatest: -22, 0, 17, -5, -30

a)

-5, -22, -30, 0, 17

b)

17, 0, -5, -22, -30

c)

-22, -30, -5, 0, 17

d)

-30, -22, -5, 0, 17

63.

Determine whether 143 is prime or composite.

a)

Neither

b)

Both

c)

Composite

d)

Prime

64.

What is the absolute value of 12?

a)

24

b)

0

c)

-12

d)

12

65.

What is the opposite of the integer -8?

a)

8

b)

1

c)

-8

d)

0

66.

Order the following integers from least to greatest: -5, 3, -11, 0, 7, -2

a)

-5, -11, 0, 3, 7, -2

b)

7, 3, 0, -2, -5, -11

c)

-11, -2, -5, 0, 3, 7

d)

-11, -5, -2, 0, 3, 7

67.

What is the value of 8 + (–3 × 4) ÷ 2?

a)

–2

b)

–4

c)

10

d)

2

68.

Is 225 a perfect square? If yes, rewrite it as a number squared.

a)

Yes, $15^2$

b)

Yes, $14^2$

c)

No, it is not a perfect square

d)

Yes, $12^2$

69.

Find the least common multiple (LCM) of 12 and 20.

a)

60

b)

24

c)

32

d)

40

70.

What is the value of 8 + (-3) × 2?

a)

10

b)

-2

c)

2

d)

5

71.

Order the following integers from least to greatest: -22, 0, 17, -8, 5

a)

-8, -22, 0, 5, 17

b)

17, 5, 0, -8, -22

c)

0, -22, -8, 5, 17

d)

-22, -8, 0, 5, 17

72.

Find the least common multiple (LCM) of 12 and 18.

a)

72

b)

24

c)

54

d)

36

73.

Use divisibility rules to determine if 672 is divisible by any of these numbers: 2, 3, 4, 5, 6, 9, or 10. If the number is not divisible by any of these numbers, write "none."

a)

2, 3, 4, 6, 9

b)

2, 3, 4, 6

c)

None

d)

2, 3, 4, 5, 6, 9, 10

74.

Is 169 a perfect square? If yes, rewrite it as a number squared.

a)

Yes, $13^2$

b)

No, it is not a perfect square

c)

Yes, $12^2$

d)

Yes, $14^2$

75.

Determine whether 97 is prime or composite.

a)

Prime

b)

Neither

c)

Composite

d)

Both

76.

What is the sum of -12 and 25?

a)

-13

b)

13

c)

-37

d)

37

77.

Find the greatest common factor (GCF) of 42 and 70.

a)

35

b)

21

c)

14

d)

7

78.

Determine whether 143 is prime or composite.

a)

Neither

b)

Composite

c)

Both

d)

Prime

79.

What is the opposite of the integer -12?

a)

-1

b)

12

c)

-12

d)

0

80.

What is the sum of -9 + 15?

a)

6

b)

-24

c)

24

d)

-6

81.

If the temperature of a room is 65°F and it increases by 3°F every minute, what will the temperature be after 10 minutes?

a)

68°F

b)

95°F

c)

65°F

d)

75°F

82.

What is the value of -12 + 19?

a)

-31

b)

31

c)

-7

d)

7

83.

Find the least common multiple (LCM) of 18 and 30.

a)

90

b)

54

c)

36

d)

60

84.

Which integer represents a deposit of $25?

a)

1

b)

25

c)

0

d)

-25

85.

Which of the following numbers is a prime number?

a)

91

b)

97

c)

99

d)

100

86.

What is the absolute value of 0?

a)

0

b)

1

c)

-1

d)

10

87.

Find the least common multiple (LCM) of 15 and 20.

a)

45

b)

30

c)

35

d)

60

88.

Find the least common multiple (LCM) of 12 and 30.

a)

60

b)

120

c)

36

d)

24

89.

Determine whether 101 is prime or composite.

a)

Neither

b)

Composite

c)

Both

d)

Prime

90.

Find the greatest common factor (GCF) of 42 and 70.

a)

35

b)

21

c)

7

d)

14

91.

Find the least common multiple (LCM) of 12 and 15.

a)

60

b)

180

c)

30

d)

45

92.

Determine whether 143 is prime or composite.

a)

Neither

b)

Composite

c)

Both

d)

Prime

93.

Simplify the expression: 5 × (8 – 3) + 7

a)

35

b)

30

c)

27

d)

32

94.

What is the value of the expression: 4 × (5 + 3) – 7?

a)

32

b)

18

c)

25

d)

19

95.

Which integer represents a deposit of $55?

a)

5

b)

55

c)

0

d)

-55

96.

What is the sum of -12 and 27?

a)

15

b)

-15

c)

-39

d)

39

97.

Find the least common multiple (LCM) of 8 and 14.

a)

56

b)

112

c)

22

d)

28

98.

Is 169 a perfect square? If yes, rewrite it as a number squared.

a)

Yes, $12^2$

b)

No, it is not a perfect square

c)

Yes, $13^2$

d)

Yes, $14^2$

99.

What is the prime factorization of 210?

a)

2 × 3 × 35

b)

2 × 3 × 5 × 7

c)

3 × 5 × 14

d)

2 × 5 × 21

100.

Write 1,000,000 as a power of 10.

a)

$10^7$

b)

$10^8$

c)

$10^5$

d)

$10^6$

101.

Find the least common multiple (LCM) of 12 and 18.

a)

72

b)

54

c)

36

d)

24

102.

Which of the following numbers is a prime number?

a)

91

b)

81

c)

87

d)

97

103.

What is the sum of -12 + 7?

a)

-5

b)

-19

c)

19

d)

5

104.

Simplify the expression: 3 × (8 – 5) + 4

a)

21

b)

13

c)

7

d)

19

105.

Which integer represents a deposit of $25?

a)

0

b)

-25

c)

25

d)

2.5

106.

Find the greatest common factor (GCF) of 36 and 54.

a)

6

b)

18

c)

12

d)

9

107.

Determine whether 143 is prime or composite.

a)

Both

b)

Neither

c)

Composite

d)

Prime

108.

Find the least common multiple (LCM) of 18 and 24.

a)

48

b)

36

c)

72

d)

54

109.

Which of the following numbers is a perfect square?

a)

169

b)

162

c)

156

d)

154

110.

Write the prime factorization of 90.

a)

2 × 3 × 5

b)

3 × 3 × 5

c)

2 × 5 × 9

d)

2 × 3 × 3 × 5

111.

Find the least common multiple (LCM) of 14 and 20.

a)

140

b)

70

c)

28

d)

34

112.

Order the following integers from least to greatest: -22, 0, 17, -5, 9

a)

17, 9, 0, -5, -22

b)

0, -22, -5, 9, 17

c)

-5, -22, 0, 9, 17

d)

-22, -5, 0, 9, 17

113.

What is the result of 13 + (-27)?

a)

-40

b)

40

c)

-14

d)

14

114.

What is the value of 3 × (8 – 5) + 12?

a)

27

b)

15

c)

18

d)

21

115.

Find the greatest common factor (GCF) of 42 and 70.

a)

21

b)

14

c)

35

d)

7

116.

Write the prime factorization of 180.

a)

2 × 2 × 3 × 3 × 5

b)

2 × 3 × 5 × 5

c)

2 × 3 × 3 × 5

d)

2 × 2 × 3 × 5

117.

Express 1,000,000 as a power of 10.

a)

$10^6$

b)

$10^5$

c)

$10^8$

d)

$10^7$

118.

What is the opposite of the integer -12?

a)

-1

b)

0

c)

-12

d)

12

119.

What is the value of the expression: 4 + 5 × (2 + 6)?

a)

54

b)

40

c)

44

d)

56

120.

What is the value of $2^5$ ?

a)

32

b)

25

c)

10

d)

16

121.

Find the least common multiple (LCM) of 12 and 18.

a)

72

b)

36

c)

24

d)

54

122.

What is the absolute value of -15?

a)

15

b)

-15

c)

0

d)

30

123.

What is the product of -6 × 5?

a)

1

b)

-11

c)

30

d)

-30

124.

Find the least common multiple (LCM) of 12 and 15.

a)

15

b)

12

c)

30

d)

60

125.

Write the prime factorization of 360.

a)

3 × 3 × 5 × 8

b)

2 × 2 × 3 × 5

c)

2 × 3 × 5 × 12

d)

2 × 2 × 2 × 3 × 3 × 5

126.

What is the greatest common factor (GCF) of 42 and 56?

a)

7

b)

21

c)

14

d)

28

127.

Simplify the expression: 3 × (8 + 4) – 7

a)

33

b)

25

c)

29

d)

31

128.

Which of the following numbers is a perfect square?

a)

162

b)

169

c)

180

d)

175

129.

What is the greatest common factor (GCF) of 24 and 60?

a)

6

b)

12

c)

24

d)

8

130.

Simplify: 3 × (5 + 4) – 7

a)

20

b)

27

c)

25

d)

16

131.

Find the least common multiple (LCM) of 8 and 14.

a)

56

b)

28

c)

112

d)

22

132.

What is the value of -12 + 20?

a)

-8

b)

32

c)

-32

d)

8

133.

Find the least common multiple (LCM) of 18 and 30.

a)

180

b)

90

c)

60

d)

36

134.

Simplify the expression: 5 × (3 + 4) – 8

a)

35

b)

23

c)

27

d)

31

135.

What is the value of 3 × (4 + 5) – 7?

a)

15

b)

18

c)

27

d)

20

136.

Determine whether 87 is divisible by any of these numbers: 2, 3, 4, 5, 6, 9, or 10. If the number is not divisible by any of these numbers, write "none."

a)

3

b)

2, 4, 10

c)

9

d)

None

137.

Is 121 a perfect square? If yes, rewrite it as a number squared.

a)

Yes, $11^2$

b)

Yes, $12^2$

c)

Yes, $10^2$

d)

No, it is not a perfect square

138.

What is the absolute value of 12?

a)

0

b)

24

c)

12

d)

-12

139.

Find the least common multiple (LCM) of 8 and 14.

a)

28

b)

22

c)

112

d)

56

140.

Find the greatest common factor (GCF) of 32 and 48.

a)

8

b)

24

c)

16

d)

32

141.

Determine whether 233 is prime or composite.

a)

Neither

b)

Composite

c)

Both

d)

Prime

142.

Find the greatest common factor (GCF) of 42 and 70.

a)

6

b)

21

c)

7

d)

14

143.

Write 1,000,000 as a power of 10.

a)

$10^8$

b)

$10^7$

c)

$10^5$

d)

$10^6$

144.

Which of the following numbers is divisible by both 3 and 4?

a)

18

b)

36

c)

44

d)

27

145.

Find the least common multiple (LCM) of 15 and 20.

a)

30

b)

60

c)

35

d)

45

146.

Determine whether 143 is prime or composite.

a)

Prime

b)

Composite

c)

Both

d)

Neither

147.

Determine whether 67 is prime or composite.

a)

Composite

b)

Prime

c)

Neither

d)

Both

148.

Use divisibility rules to determine if 528 is divisible by any of these numbers: 2, 3, 4, 5, 6, 9, or 10. If the number is not divisible by any of these numbers, write "none."

a)

None

b)

2, 3, 4, 6, 9

c)

2, 4, 10

d)

2, 3, 4, 6

149.

Is 144 a perfect square? If yes, rewrite it as a number squared.

a)

Yes, $13^2$

b)

Yes, $11^2$

c)

No, it is not a perfect square

d)

Yes, $12^2$

150.

What is the opposite of the integer -12?

a)

12

b)

-12

c)

0

d)

-1

151.

Simplify the expression: 5 × (8 – 3) + 7

a)

32

b)

40

c)

35

d)

27

152.

Is 169 a perfect square? If yes, rewrite it as a number squared.

a)

Yes, $13^2$

b)

Yes, $12^2$

c)

No, it is not a perfect square

d)

Yes, $14^2$

Math 6 First Trimester Exam Review

Total questions: 152

Worksheet time: 1hrs 16mins

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