Free Printable Grade 6 math review

1.

A car backs up 23 feet, followed by 9 more feet. The car's position can be represented by the expression -23 + (-9). What is the sum?

a)

-32

b)

32

c)

14

d)

-14

2.

-15 + -8 =

a)

23

b)

-23

c)

7

d)

-7

3.

13 + -21 =

a)

34

b)

-34

c)

8

d)

-8

4.

An expert diver is looking for a particular species of fish along the coast line. He dives 22 feet below the surface of the ocean. Then he dives down 7 more feet. He swims back up 14 feet and down another 4 feet before he finds the species of fish he is looking for. What was the depth at which the diver found the fish?

a)

-5 feet

b)

-19 feet

c)

-25 feet

d)

-47 feet

5.

a)

-7 + 4 = -3

b)

7 + (-4) = 3

c)

7 - 4 = 11

d)

7 + (-4) = -11

6.

a)

-3 +7 = 10

b)

7 + (-3) = 4

c)

7 + (-10) = -3

d)

10 + (-3) = 7

7.

Brand 1 of antifreeze claims that it can withstand temperatures of -62 degrees Celsius. Brand 2 of antifreeze claims that it can withstand temperatures 5 degrees Celsius below those of Brand 1. Which of the following equations represents the temperatures Brand 2 can withstand?

a)

-62 + 5 = -57

b)

-62 + 5 = -67

c)

-62 + -5 = -67

d)

-62 + -5 = -57

8.

Joy earned 13 points in her first round and -21 points in her second turn. What was her score after 2 turns?

a)

34

b)

8

c)

-34

d)

-8

9.

The temperature at the beginning of the day was 6 degrees F. The temperature dropped 9 degrees F by the end of the day. What was the temperature at the end of the day?

a)

3

b)

-3

c)

15

d)

-15

10.

-19 - 7 =

a)

12

b)

-12

c)

26

d)

-26

11.

-25 - (-12) =

a)

13

b)

-13

c)

37

d)

-37

12.

Which addition expression is equivalent to 7 - (-3)?

a)

-3 + 7

b)

-7 + 3

c)

7 + 3

d)

3 + (-7)

13.

23 - (-5) =

a)

28

b)

-28

c)

18

d)

-18

14.

Find the difference between an elevation of 33 feet above sea level and 22 feet below sea level.

a)

11 feet

b)

20 feet

c)

50 feet

d)

55 feet

15.

One day in Texas it was 32 degrees and the next day it was -5 degrees. What was the difference in the temperature of the two days?

a)

27 degrees

b)

12 degrees

c)

37 degrees

d)

50 degrees

16.

(-9) - (-13) =

a)

-22

b)

22

c)

-4

d)

4

17.

(-234) + 987 =

a)

753

b)

-753

c)

-1221

d)

1222

18.

(-27)/9 =

a)

3

b)

-3

c)

2

d)

-4

e)

I have no idea :(

19.

(-9) x (-855) =

a)

2516

b)

864

c)

-864

d)

7695

20.

144 / 12 =

a)

-12

b)

158

c)

12

d)

987

21.

(-98) + (-45) =

a)

-143

b)

143

c)

45

d)

-45

22.

718 + (-347) =

a)

1065

b)

-371

c)

371

d)

-1065

23.

If a negative number is subtracted by another negative number, what would be the result?

a)

A positive number

b)

A negative number

c)

It depends on the number

d)

You summon a satanic sheep

24.

If a positive number is divided by a negative number, what would be the result?

a)

A positive number

b)

It depends on the numbers

c)

A negative number

d)

Giraffes

25.

(-34) + (-986) =

a)

1020

b)

952

c)

-1020

d)

-952

26.

I was $345 in debt. My sister then stole $567 from my bank account. How much money am I in debt now?

a)

-912

b)

912

c)

-202

d)

202

27.

Antoine had 55 BIS in his pocket. Then, after P.E, he was sweating a lot, and 34 of those BIS melted and he had to throw them away. How many BIS does he have left?

a)

-22

b)

-21

c)

21

d)

23

28.

Estimate the answer to:

906 + 397

a)

1300

b)

1200

c)

1310

d)

1303

29.

Estimate the answer to:

578 + 720

a)

1300

b)

1200

c)

1290

d)

1298

30.

Estimate the answer to:

1965 - 370

a)

1600

b)

1500

c)

1595

d)

2400

31.

Estimate the answer to:

8.31 + 9.74

a)

18

b)

17

c)

18.05

d)

80

32.

Estimate the answer to:

195 x 92

a)

290

b)

18000

c)

1800

d)

20000

33.

Amy had 13 jelly beans in her left hand and 28 in her right hand. Estimate how many jelly beans Amy had in all.

a)

45

b)

40

c)

50

d)

30

34.

Bobby has 44 toy cars and trucks. He also has 62 ninja turtles and soldiers. Estimate how many toy cars, trucks, ninja turtles and soldiers Bobby has.

a)

86

b)

10

c)

100

35.

Estimate 32+49____

a)

55

b)

70

c)

80

d)

712

36.

Round to the nearest ten, then estimate:
27 + 78

a)

115

b)

90

c)

100

d)

110

37.

Round to the nearest ten, then estimate:
27 + 78

a)

115

b)

90

c)

100

d)

110

38.

Round to the nearest ten, then estimate:
27 + 78

a)

115

b)

90

c)

100

d)

110

39.

Estimating is to....

a)

find the exact answer

b)

find something close to the correct answer

c)

use an algorithm

40.

Leo's morning bus route picked up 176 students for school. In the afternoon, the bus took 84 students home. Which estimate shows about bout how many more students did Leo's bus take in the morning than in the afternoon?

a)

300

b)

100

c)

200

d)

20

41.

Elena read 3 chapter books in one month.

She read a book with 217 pages on week 1.
She read a book with 465 pages on week 2 and 3.
She read a book with 107 pages on the 4th week.

Which is the best estimate of the number of pages Elena read these 4 weeks?

a)

900

b)

700

c)

1,000

d)

800

42.

Julie was playing Fruit Ninja on her tablet. On the first round she scored 225 points, on the second she got 199 points and in the third round she scored 94 points. Which of the following number sentences shows one way to estimate how many points Julie won during these 3 rounds?

a)

200 + 200 + 100 = 500

b)

200 + 200 + 50 = 450

c)

200 + 100 + 90 = 390

d)

100 + 100 + 100 =300

43.

Which operation should you perform first in the expression

4\times6-3

a)

addition

b)

multiplication

c)

subtraction

d)

division

44.

Which operation should you perform first in the expression

1+8\div2

a)

addition

b)

subtraction

c)

multiplication

d)

division

45.

Which operation should you perform first in the expression

\left(2+5\right)\ -\ 4^2

a)

addition

b)

multiplication

c)

parenthesis

d)

subtraction

46.

Which operation should you perform first in the expression

7\div7^{3\ }\times7

a)

division

b)

exponent

c)

multiplication

d)

addition

47.

Which operation should you perform first in the expression

8^2\div\left(8-4\right)^2

a)

exponent

b)

parenthesis

c)

division

d)

subtraction

48.

Which operation should you perform first in the expression

-4+3^3\div5

a)

exponent

b)

division

c)

addition

d)

subtraction

49.

What is the value of the expression

7 + 8 - 2

a)

9

b)

31

c)

13

d)

14

50.

What is the value of the expression

9 + (12 - 10)

a)

9

b)

40

c)

13

d)

11

51.

What is the value of the expression
$\left(20-15\right)\times2$

a)

9

b)

40

c)

10

d)

16

52.

$10\div5+7$

What is the value of the expression

a)

13

b)

12

c)

12

d)

9

53.

$6+2\times3$

What is the value of the expression

a)

12

b)

24

c)

16

d)

10

54.

What is the value of the expression

\left(2\times4\right)+8

a)

14

b)

16

c)

9

d)

10

55.

What is the value of the expression

14+2\times0

a)

0

b)

40

c)

14

d)

9

56.

What is the value of the expression

\left(5-1\right)\times10

a)

50

b)

10

c)

15

d)

40

57.

A sixth-grade student bought three cans of tennis balls for $4 each. Sales tax for all three cans was $0.95. Write an expression to show the total amount the student paid.

a)

$3\times4+.95$

b)

$3\times.95\times4$

c)

$\left(3\times4\right)\times.95$

d)

$\left(4\times.95\right)+3$

58.

Sam bought two CDs for $13 each. Sales tax for both CDs was $3. How much did Sam pay in all?

a)

$18

b)

$78

c)

$29

d)

$14

59.

Which number is a factor of 48?

a)

6

b)

18

c)

7

d)

9

60.

Which number is a factor of 25?

a)

1

b)

2

c)

10

d)

50

61.

Which number is a multiple of 8?

a)

4

b)

2

c)

24

d)

30

62.

Which number is a multiple of 12?

a)

36

b)

40

c)

80

d)

3

63.

What is the greatest common factor of 6 and 12?

a)

2

b)

3

c)

6

d)

12

64.

What is the greatest common factor of 10 and 24?

a)

2

b)

3

c)

5

d)

14

65.

What is the greatest common factor of 7 and 33?

a)

7

b)

3

c)

14

d)

1

66.

What is the greatest common factor of 18 and 60?

a)

4

b)

3

c)

6

d)

9

67.

Which choice lists all the factors for the number 24?

a)

2, 3, 4, 6, 8, 12, 24

b)

2, 3, 4, 6, 8, 12, 24, 36

c)

1, 2, 3, 4, 6, 8, 12, 24

d)

1, 2, 4, 5, 6, 8, 12 ,24

68.

A prime number is...

a)

a number that has only one factor.

b)

a number that has at least two factors.

c)

a number that has more than two factors.

d)

a number that has only two factors.
(1 and itself)

69.

Which number is NOT prime?

a)

3

b)

7

c)

17

d)

21

70.

What number is a factor of 6 but NOT a multiple of 2?

a)

3

b)

4

c)

6

d)

8

71.

Which number is a factor of both 9 and 7?

a)

7

b)

9

c)

3

d)

none

72.

A composite number is...

a)

a number with more than 2 factors

b)

a number that has ONLY 2 factors

c)

is an odd number

d)

is NEVER an odd number

73.

25 is a

a)

Multiple of 10

b)

Factor of 100

c)

Multiple of 15

d)

Factor o

74.

75 is a multiple of which number

a)

5

b)

12

c)

10

d)

6

75.

What is the greatest common factor of 10 and 24?

a)

2

b)

3

c)

5

d)

14

76.

Numbers that can be multiplied together to make a product.

a)

multiples

b)

sum

c)

factors

d)

facts

77.

Is 35 prime or composite?

a)

prime

b)

composite

78.

Joe has listed the first 4 multiples of 7 as:
7 14 22 28
Which one is incorrect?

a)

7

b)

14

c)

22

d)

28

79.

1. Which of the following is an even number?

a)

1

b)

9

c)

4

d)

5

80.

70 can be evenly divided by which number?

a)

5

b)

2

c)

10

d)

All of the above

81.

What is the divisibility rule for 3?

a)

Add up the digits. The digits must add up to 9.The last digit must be a 3.

b)

The sum must be even and divisible by 3.

c)

The last digit must be a 3.

d)

Add up the digits. The sum must be divisible by 3.

82.

Is 95 divisible by 5?

a)

Yes

b)

No

83.

Is 81 divisible by 3?

a)

Yes

b)

No

84.

Which of these is divisible by 10?

a)

8105

b)

375

c)

460

d)

52

85.

Which of these id divisible by 9?

a)

1308

b)

495

c)

361

d)

842

86.

Which of these is divisible by 100?

a)

$450

b)

$3719

c)

$5200

d)

$1000

87.

The number 70,110 is divisible by...

a)

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

b)

2, 3, 4, 5, 6, 8, 9, 10

c)

2, 3, 5, 6, 9, 10

d)

2, 3, 5, 9, 10

88.

Insert the correct digit to make the following number divisible by 3.

60__2

a)

1

b)

2

c)

3

d)

5

89.

If the number is divisible by 10 ,will it be divisible by 100?

a)

True

b)

False

90.

.......................... is divisible by 2 and 3

a)

24

b)

35

c)

40

d)

81

91.

A number that ends with 00,25,50 and 75 is divisible by ....................

a)

10

b)

25

c)

50

d)

100

92.

Find the missing number according to the associative property.

4×(3×2) = (4×3) × ........

a)

12

b)

6

c)

2

d)

3

93.

14 × 2 = 10 ×2 + ........×2

a)

4

b)

20

c)

14

d)

28

94.

Determine which property of multiplication is shown?

10 × 8=8×10

a)

Associative Property

b)

Distributive Property

c)

commutative property

95.

Add 2.372 to 14.04

a)

3.776

b)

37.76

c)

16.412

d)

16.312

96.

13.6 + ..............=31.4

a)

13.9

b)

17.8

c)

178

d)

17

97.

......... + 3.5 = 10

a)

6.5

b)

5.5

c)

7.5

d)

9.9

98.

The difference between 12.5 and 10.8 .

a)

1.8

b)

1.7

c)

1

d)

1.5

99.

What is the cube root of 8?

a)

4

b)

2

c)

-2

d)

2,-2

100.

x³ = 125

a)

5

b)

-5

c)

5,-5

101.

√121

a)

9

b)

10

c)

11

d)

12

102.

What is the square root of 1?

a)

18

b)

27

c)

45

d)

1

103.

What is the square root of 25?

a)

5

b)

12

c)

3

d)

6

104.

Which is ordered least to greatest?

a)

-0.03, -1/2, 2, 2.5

b)

-34, -3/5, 0, 12.75

c)

0, -1, 1, 2

d)

-1/4, -2, 0, 1/5

105.

5.5 is closest to which of the square roots listed below?

a)

√11

b)

√20

c)

√30

d)

√40

106.

√200 is between

a)

13 and 14

b)

15 and 16

c)

14 and 15

d)

11 and 12

107.

√40 is between

a)

8 and 9

b)

7 and 8

c)

5 and 6

d)

6 and 7

108.

What is...(click to see problem)

a)

3/4

b)

4/5

c)

5/6

d)

6/7

109.

t_³= 64 What is t?

a)

2

b)

4

c)

8

d)

16

110.

What type of number is the square root of 25?

a)

rational

b)

irrational

111.

What kind of number is the cube root of 100.

a)

Rational

b)

irrational

112.

What type of number is square root of 99?

a)

rational

b)

irrational

113.

What type of number is cube root 125?

a)

rational

b)

irrational

114.

a)

9/12

b)

3/4

c)

4/8

d)

5/4

115.

Find the sum.
1/2 + 2/5

a)

3/7

b)

3/10

c)

9/10

d)

1 1/10

116.

Find the sum if one-third is added to one-half.

a)

one fifth

b)

1/5

c)

one sixth

d)

5/6

117.

Add.
4/7 + 3/5

a)

7/35

b)

1 6/35

c)

16/35

d)

40/35

118.

2/3 + 6/11 =?

a)

8/14

b)

4/7

c)

22/33

d)

1 7/33

119.

2/5 +? = 7/10

a)

3/10

b)

3/5

c)

9/10

d)

1 1/10

120.

Brooke had 3/5 of an apple pie and her mom had 2/7 of an apple pie. How much apple pie do they have altogether?

a)

35/35

b)

5/12

c)

31/35

d)

1 2/35

121.

What must you have in order to add fractions?

a)

different numerators

b)

common numerators

c)

common denominators

d)

opposite denominators

122.

What would be the least common denominator for when you add 1/3 and 5/6?

a)

3

b)

6

c)

9

d)

12

123.

Which problem would use 12 as the least common denominator?

a)

2/3 + 3/5

b)

3/4 + 1/6

c)

7/10 + 1/2

d)

5/12 + 3/5

124.

Which problem has a sum of 4/9?

a)

2/9 + 2/3

b)

2/9 + 1/9

c)

2/3 + 2/3

d)

2/9 +2/9

125.

Find the sum written in lowest terms.
1/2 + 3/5 + 9/10

a)

20/10

b)

2

c)

13/10

d)

1 3/10

126.

What is the first step in solving this problem?
⅘ + ½ =

a)

Add the top parts of the fraction

b)

Rewrite the fractions in the simplest form.

c)

Find a common denominator.

d)

Make each fraction into an improper faction.

127.

Which of these numbers could NOT be a common denominator for these three fractions?
1/3 and 2/5 and 3/10

a)

15

b)

30

c)

60

d)

90

128.

a)

3/8

b)

3-1/8

c)

1/24

d)

4/8

129.

What is 2/3 x 2/3

a)

4/9

b)

2/3

c)

4/3

d)

4/6

130.

Find the product.

a)

3/50

b)

30/5

c)

6

d)

1 1/5

131.

Find the product.

a)

2/14

b)

1/49

c)

2/7

d)

1/14

132.

a)

3/40

b)

4/40

c)

3/5

d)

5/24

133.

a)

2 2/11

b)

8/33

c)

1 10/11

d)

2/8

134.

2/5 X 2/10

a)

4/50

b)

4/15

c)

2/15

d)

2/50

135.

Find the product. Then, simplify.

a)

2/24

b)

3/24

c)

1/12

d)

3/16

136.

Find the product. Then, simplify.

a)

10/18

b)

5/9

c)

10/6

d)

15/12

137.

When multiplying fractions you do what?

a)

KCF

b)

Find the least common denominator

c)

Multiply all of the numbers together

d)

Multiply top times top and bottom times bottom

138.

Find the product.

a)

9/24

b)

9/28

c)

6/32

d)

12/21

Grade 6 math review

Total questions: 138

Worksheet time: 8hrs 12mins

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