Free Printable McMath 6th Grade Winter Break Review

1.

What is the difference between an expression and an equation?

a)

nothing

b)

a long line

c)

the expression has an qual sign the equation does not

d)

the equation is a numerical expression with an equal sign and an equation does not have an equal sign

2.

Which of the following is an expression?

a)

6x + 2x = 6

b)

10 = 5x

c)

2x + 6x - 10

d)

6x² + 10 = 25

3.

0 - 16

a)

16

b)

0

c)

-16

d)

5

4.

-10+4

a)

-14

b)

14

c)

-6

d)

6

5.

5 - (-12)

a)

-7

b)

7

c)

17

d)

-17

6.

12 - (-12)

a)

24

b)

-24

c)

0

d)

-144

7.

-8 - (-6)

a)

2

b)

14

c)

-2

d)

-14

8.

What is (3/8)+(5/8)

a)

5/8

b)

1

c)

7/8

d)

2/8

9.

-15 - 3

a)

12

b)

-12

c)

-18

d)

18

10.

-2 - (-10) = ?

a)

-12

b)

12

c)

8

d)

-8

11.

The temperature at 6:00 was 9 degrees below zero. The temperature dropped to 11 degrees below zero at 8:00. What is the difference between temperatures?

a)

18 degrees

b)

20 degrees

c)

2 degrees

d)

0 degrees

12.

Which fraction is bigger?

one half OR three fourths

a)

one half

b)

three fourths

13.

Solve.

10 x (6 + 2)

a)

62

b)

80

c)

74

14.

Which digit is in the ten-thousands place?

664,391

a)

6

b)

9

c)

4

d)

3

15.

Write the number -

2 in the 10s place

4 in the hundreds place

7 that is worth 10x100

0 in the leftover places

a)

7042

b)

742

c)

7402

d)

7420

16.

an equivalent fraction

a)

is the same thing, represented in a different way

b)

is different

c)

i don't know

17.

round 374 to the nearest ten

a)

370

b)

300

c)

340

18.

Solve: 5³

a)

25

b)

125

c)

15

d)

243

19.

Solve: 7²

a)

14

b)

128

c)

49

d)

72

20.

Evaluate 5m when m=8

a)

58

b)

13

c)

85

d)

40

21.

Evaluate 8 + g when g=28

a)

36

b)

288

c)

20

d)

828

22.

Evaluate b⁴ when b = 2

a)

4

b)

16

c)

8

d)

24

23.

Use the distributive property to find an equivalent expression of: 5(7m + 9)

a)

35 + 45

b)

35m + 45

c)

7m + 45

d)

80m

24.

Write an algebraic expression for:
6 minus a number

a)

n - 6

b)

6 - n

c)

6n

d)

6 + n

25.

Write an algebraic expression for:
the product of 5 and a number

a)

5 + n

b)

n + 5

c)

5n

d)

5/n

26.

Write an algebraic expression for:
8 more than a number

a)

8 + n

b)

8n

c)

8 -n

d)

n-8

27.

Write an algebraic expression for:
2 less than the sum of 10 and a number

a)

10n -2

b)

10 + n - 2

c)

2 - 10 + n

d)

2 - 10n

28.

Evaluate 24 - 4t for t = 4

a)

20

b)

24

c)

8

d)

6

29.

Write a expression for the phrase "18 times the number m"

a)

18 + m

b)

18 - m

c)

18m

d)

18 ÷ m

30.

Name the property:
(3+2)+5 = 3 + (2 + 5)

a)

commutative

b)

associative

c)

identity

d)

neither

31.

Write a phrase for 18 ÷ a

a)

the quotient of 18 and a

b)

the product of 18 and a

c)

the quotient of a and 18

d)

the difference of 18 and a

32.

8w is another name for

a)

8 times w

b)

w multiplied by 8

c)

the product of 8 and a number

d)

all of the above

33.

Which of the following is equivalent to 5(2x + 6)?

a)

10x + 30

b)

10x + 6

c)

40x

d)

2x + 30

34.

An expression does not have an equal sign

a)

TRUE

b)

FALSE

35.

3(6x-5)

a)

18x-15

b)

9x -15

c)

9+15x

36.

Which expression matches:
The sum of 6 and 5 doubled

a)

2 x 6 + 5

b)

2 x (6 + 5)

c)

6 + (5 x 2)

37.

What does the (E) in PEMDAS mean?

a)

experience

b)

exponents

c)

examples

d)

evidence

38.

True or false:
Addition ALWAYS comes before subtraction.

a)

True

b)

False

39.

2 + 7 ⋅ 5

a)

37

b)

45

c)

32

d)

23

40.

12 ÷ 3 x 4
What do you do first?

a)

3x4

b)

12÷4

c)

12÷3

41.

How do you write this in exponent form?
4 * 4 * 4 * 4 * 4 * 4 * 4 * 4

a)

4⁷

b)

65,536

c)

4⁸

d)

7⁴

42.

What does the (M) in PEMDAS mean?

a)

multiply

b)

move over

c)

math

d)

median

43.

Nine more than a number

a)

9x

b)

9 - x

c)

9 + x

d)

9 + 9

44.

The difference of five and a number

a)

5 - m

b)

5/m

c)

5 + m

d)

5 - 5

45.

seven divided by a number

a)

7/n

b)

n/7

c)

49/7

d)

n/n

46.

The product of a number and twelve

a)

x/12

b)

x - 12

c)

12 + x

d)

12x

47.

The product of a number and twelve

a)

x/12

b)

x - 12

c)

12 + x

d)

12x

48.

A number increased by five.

a)

5x

b)

x + 5

c)

x + x + x + x + x

d)

5 + 5

49.

The quotient of 6 and a number

a)

6/x

b)

x/6

c)

6x

d)

6 - x

50.

The sum of six and a number

a)

6 + p

b)

6 - p

c)

p + p

d)

6p

51.

A number decreased by ten

a)

10x

b)

x/10

c)

10 - x

d)

x - 10

52.

Eleven less than three times a number

a)

11x - 3

b)

3 - 11x

c)

11 - 3x

d)

3x - 11

53.

In order to multiply powers with the same base, we add their exponents.

a)

True

b)

False

54.

Write 3 x 3 x 3 x 3 using an exponent.

a)

81

b)

3⁴

c)

4³

d)

12

55.

Which is equivalent to 2⁴?

a)

8

b)

20

c)

16

d)

12

56.

What is 4⁵ in expanded form?

a)

5 x 5 x 5 x 5

b)

4 x 4 x 4 x 4

c)

5 x 5 x 5 x 5 x 5

d)

4 x 4 x 4 x 4 x 4

57.

How do you write 2 x 2 x 2 x 2 with an exponent?

a)

4²

b)

2⁴

c)

2²

58.

2⁵ is the same as 2 x 5.

a)

True

b)

False

59.

Choose the answer.
5²

a)

10

b)

15

c)

20

d)

25

60.

What is the BASE in the power below?
4³

a)

4

b)

3

c)

4³

d)

64

61.

Which is equivalent to 2⁴?

a)

8

b)

20

c)

16

d)

12

62.

Solve

5^2

a)

10

b)

25

c)

30

d)

7

63.

Write

5^7

in expanded form

a)

7 x 7 x 7 x 7 x 7

b)

5 x 5

c)

5 x 5 x 5 x 5 x 5 x 5 x 5

d)

35

64.

Solve

3^3

Type in your answer below.

(a)

65.

Which number is the BASE?

2³

a)

2

b)

3

c)

8

66.

Which number is the EXPONENT?

4²

a)

4

b)

2

c)

16

67.

Write the follow exponent in standard form (solve)

2^6

a)

64

b)

12

c)

8

d)

2 x 2 x 2 x 2 x 2 x 2

68.

Find the value of 2³

a)

2

b)

4

c)

6

d)

8

69.

8⁰ = 0

a)

True

b)

False

70.

What is the value of 2⁵?

a)

32

b)

16

c)

10

d)

8

71.

What is the missing exponent in 10^x = 1000?

a)

2

b)

3

c)

10

d)

100

72.

What is the missing exponent in the equation 2^? = 16?

a)

8

b)

4

c)

2

d)

14

73.

Which symbol is correct for these two fractions?

a)

>

b)

<

c)

=

74.

Which symbol is correct for these two fractions?

a)

>

b)

<

c)

=

75.

Which symbol is correct for these two fractions?

a)

>

b)

<

c)

=

76.

Which symbol is correct for these two fractions?

a)

>

b)

>

c)

=

77.

This is 5/4. It is also:

a)

1 3/4

b)

2 1/4

c)

1 1/4

d)

4/4

78.

This is 11/4 pizza. This is also:

a)

3 1/4

b)

2 3/4

c)

2 1/4

d)

11/12

79.

Reduce the following fraction:
16/20 =

a)

8/10

b)

4/5

c)

1/2

d)

16/20

80.

Reduce the following fraction:
36/44

a)

9/11

b)

6/7

c)

4/9

d)

18/22

81.

Reduce the following fraction:
25/55

a)

2.5/5.5

b)

1/3

c)

5/11

d)

3/5

82.

Change the following mixed number into an improper fraction:
5 7/8

a)

20/8

b)

5/2

c)

47/8

d)

it already is an improper fraction

83.

Change the following improper fraction into a mixed number:
34/3

a)

12 1/3

b)

11 1/3

c)

10 1/3

d)

it already is a mixed number

84.

Please solve the addition problem and then simplify:
3/4 + 3/4

a)

1 1/2

b)

6/4

c)

3/2

d)

1 2/4

85.

Write the improper fraction as a mixed number

²³/₅

a)

4 ³/₅

b)

4 ⁵/₃

c)

5 ³/₄

d)

4 ³/₄

86.

Write the improper fraction as a mixed number

³⁶/₄

a)

9 ¹/₄

b)

9 ³/₄

c)

8 ⁴/₄

d)

9

87.

Write the improper fraction as a mixed number

²²/₃

a)

7 ²/₃

b)

7 ¹/₃

c)

7 ¹/₄

d)

7 ³/₄

88.

Write the mixed number as an improper fraction

5 ⁶/₇

(a)

89.

Write the mixed number as an improper fraction

2 ¹/₄

(a)

90.

Write the mixed number as an improper fraction

7 ⁵/₁₁

(a)

91.

Carl said that ⁹/₄ and 1 ¹/₄ are equal, is he correct?

a)

yes

b)

no

92.

¹⁄₂× ³ ⁄₄ =

a)

³⁄₈

b)

³⁄₄

c)

¹⁄₂

d)

¹⁄₄

93.

³⁄₅× ²⁄₅=

a)

⁵⁄₁₀

b)

⁶⁄₅

c)

⁶⁄₂₅

d)

¹⁄₅

94.

⁴⁄₅× ¹⁰⁄₁₂=

a)

⁴⁰⁄₅₀

b)

¹⁄₃

c)

⁵⁰⁄₄₈

d)

²⁄₃

95.

²⁄₅÷ ²⁄₅=

a)

⁴⁄₁₀

b)

²⁄₅

c)

1

d)

5

96.

³⁄₄÷ ¹⁄₂=

a)

³⁄₂

b)

⁶⁄₈

c)

³⁄₈

d)

¹⁄₂

97.

Change the improper fraction into a mixed number.

a)

1 1/4

b)

1 2/4

c)

3 3/5

d)

4 3/5

98.

Change the mixed number into an improper fraction.

a)

4/3

b)

3/4

c)

1/2

d)

3/2

99.

a)

5/8

b)

4/8

c)

3/8

d)

6/8

100.

a)

11 3/4

b)

11 3/8

c)

12 3/4

d)

12 3/8

101.

Multiply

a)

6

b)

4 / 45

c)

20

d)

7 /45

102.

Choose the fractions that are equivalent to $3\frac{1}{4}$

a)

$1\frac{9}{4}$

b)

$\frac{12}{4}$

c)

$2\frac{5}{4}$

d)

$\frac{13}{4}$

103.

Simplify:
$\frac{\text{12}}{\text{24}}$

a)

$\frac{1}{2}$

b)

$\frac{\text{1}}{\text{3}}$

c)

$\frac{\text{2}}{3}$

d)

$\frac{\text{1}}{\text{4}}$

104.

Simplify:
$\frac{\text{8}}{\text{32}}$

a)

$\frac{1}{2}$

b)

$\frac{\text{1}}{\text{3}}$

c)

$\frac{\text{2}}{3}$

d)

$\frac{\text{1}}{\text{4}}$

105.

Change Improper to Mixed:
$\frac{\text{23}}{\text{5}}$

a)

$4\frac{3}{5}$

b)

$2\frac{\text{3}}{\text{5}}$

c)

$4\frac{\text{2}}{5}$

d)

$2\frac{\text{4}}{\text{5}}$

106.

What fraction of the rectangle is SHADED?

a)

⅔

b)

¾

c)

¼

107.

Which is NOT an equivalent fraction to one half?

a)

2/4

b)

2/3

c)

4/8

d)

3/6

108.

Are the fractions equivalent?

a)

Yes

b)

No

109.

Complete the equivalent fraction.

a)

6

b)

9

c)

15

d)

23

110.

Which fraction would make this statement true?
2 / 3 < _____

a)

2/3

b)

1/3

c)

1/2

d)

3/3

111.

Use a number tree to find the prime factorization of 32

a)

2x2x2x4

b)

2x2x2x2x2

c)

4x4x2

d)

2x2x2x2x1

112.

Use a number tree to find the prime factorization of 60

a)

5x3x2x2

b)

7x6x5

c)

5x3x3x2

d)

7x5x4

113.

Use a number tree to find the prime factorization of 72

a)

2x2x2x3x3

b)

4x3x3x2

c)

4x2x2x2x2

114.

What is a Prime Number?

a)

A number that has more than two factors

b)

An Odd Number

c)

A number that only has two factors; one and itself.

d)

An online store with free shipping

115.

What is the Prime Factorization of 144?

a)

2⁴x 3²

b)

2²x 3⁴

c)

2⁴x 3⁴

d)

2² x 3 x 3²

116.

What is the expanded form and standard form for 3⁴?

a)

3 + 3 + 3 + 3; 12

b)

3 x 3 x 3 x 3; 27

c)

4 x 4 x 4; 64

d)

3 x 3 x 3 x 3 ; 81

117.

Find the prime factorization of 81

a)

2² • 7

b)

2³ • 5 • 7

c)

4³

d)

3⁴

118.

A prime number

a)

has one factor

b)

has more than 2 factors

c)

has 100 factors

d)

has exactly 2 factors: 1 and the number

119.

Is 5 prime or composite?

a)

Prime

b)

Composite

120.

Use a factor tree to find the prime factorization of 105

a)

7x5x3

b)

11x5x3

c)

7x5x2x1

d)

7x5x3x2

121.

Use a factor tree to find the prime factorization of 64

a)

4x4x4

b)

4x4x2x2

c)

2x2x2x2x2x2

d)

4x4x2x1

122.

A composite number ...

a)

has more than 2 factors.

b)

has one factor.

c)

has at least 10 factors.

d)

is always a really big number.

123.

One is...

a)

prime

b)

composite

c)

not prime or composite

d)

the loneliest number

124.

Is 12, a prime or composite number?

a)

Prime

b)

Composite

125.

Is 17, a prime or composite number?

a)

Prime

b)

Composite

126.

All of these are prime except

a)

3

b)

9

c)

2

d)

13

127.

What number is never allowed in a factor tree?

a)

13 (it's bad luck!)

b)

1

c)

8675309

d)

2

128.

Find the prime factorization for 80

a)

4²⋅ 5

b)

2⁴⋅ 5

c)

2 ⋅ 2 ⋅ 2

d)

8 ⋅ 5 ⋅ 2

129.

Using a Factor Tree, find the prime factorization of 54.

a)

3² x 6

b)

3³x 2

c)

2³ x 3

d)

9 x 6

130.

A prime number

a)

has one factor

b)

has more than 2 factors

c)

has 100 factors

d)

has exactly 2 factors: 1 and the number

131.

Which number is NOT a factor of 10?

a)

1

b)

2

c)

3

d)

5

132.

If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?

a)

2⋅3⋅5⋅7

b)

2³⋅3²⋅5⋅7

c)

2²⋅3²⋅5⋅7

d)

8⋅9⋅35

133.

In a power, an _______ is the the number that tells how many times the base is used as a factor.

a)

exponent

b)

base

c)

composite number

d)

prime number

134.

Using a Factor Tree, find the prime factorization of 24.

a)

2³ x 3

b)

2² x 3 x 4

c)

2²x 3

d)

3 x 8

135.

53.9 ÷ 0.7

a)

7.7

b)

77

c)

0.01

d)

81.5

136.

39.5÷ 0.5

a)

0.79

b)

7.9

c)

79

d)

790

137.

49.8÷0.6

a)

7.5

b)

8.3

c)

83

d)

75

138.

15.8 ÷ 2

a)

7.9

b)

79

c)

6.3

d)

0.63

139.

14.4 ÷ 0.8

a)

2.3

b)

1.8

c)

0.23

d)

18

140.

23.48 ÷ 4

a)

58.7

b)

60.95

c)

5.87

d)

6.095

141.

16.5 ÷ 0.5

a)

33

b)

2.3

c)

0.33

d)

3.2

142.

1.569 x 3

a)

4.712

b)

4.780

c)

4.707

d)

4.987

143.

3.642 x 4

a)

14.426

b)

14.428

c)

14.468

d)

14.462

144.

3.8 X 10

a)

0.038

b)

0.38

c)

38

d)

380

145.

8.65 x 4

a)

32.48

b)

34.6

c)

34.8

d)

346

146.

Jennifer bought 3.4 pounds of apples. She paid $.89 per pound. How much did Jennifer pay for the apples?

a)

$3.00

b)

$3.02

c)

$3.01

d)

$3.03

147.

3.57 x 4.6

a)

3.570

b)

13.882

c)

16.422

d)

164.22

148.

Daniel had $6.78. His grandmother gave him $3.14. How much money does Daniel have now?

a)

$9.92

b)

$9.82

c)

$3.64

d)

$9.90

149.

Shelly paid for a $7.59 paperback book with a $10 dollar bill. How much change did she get back?

a)

$17.59

b)

$3.51

c)

$3

d)

$2.41

150.

The answer to a multiplication problem is called a...

a)

Product

b)

Quotient

c)

Factor

d)

Divisor

151.

The answer to an addition problem is called a...

a)

Addend

b)

Sum

c)

Product

d)

Difference

152.

The answer to a subtraction problem is called a...

a)

Subtrahend

b)

Quotient

c)

Product

d)

Difference

153.

Solve this problem:
5.3 x 3.5

a)

1.855

b)

185.5

c)

20

d)

18.55

154.

Which property is this example?
5 x 6 = 6 x 5

a)

Commutative property of multiplication

b)

Associative Property of multiplication

c)

Distributive property of multiplication

d)

Identity property of multiplication

155.

Which property is this example?
3(5+y)=15+3y

a)

Commutative property of multiplication

b)

Associative Property of multiplication

c)

Distributive property of multiplication

d)

Identity property of multiplication

156.

Which property is this example?
100 + 0 = 100

a)

Commutative property of addition

b)

Associative Property of addition

c)

Distributive property of multiplication

d)

Identity property of addition

157.

Which property is this example?
7(8x9) = 9(8x7)

a)

Commutative property of multiplication

b)

Associative Property of multiplication

c)

Distributive property of multiplication

d)

Identity property of multiplication

158.

Which property is this example?
100 + 0 = 100

a)

Commutative property of addition

b)

Associative Property of addition

c)

Distributive property of multiplication

d)

Identity property of addition

159.

Which property is this example?
10+4 = 4+10

a)

Commutative property of addition

b)

Associative Property of addition

c)

Distributive property of multiplication

d)

Identity property of addition

160.

Which Property says that order doesn't matter in addition and multiplication?

a)

Commutative Property

b)

Associative Property

c)

Identity Property

d)

Property Brothers

161.

Which Property says that grouping is not important in addition or multiplication?

a)

Distributive Property

b)

Associative Property

c)

Commutative Property

d)

Identity Property

162.

Any number + zero = itself is which property?

a)

Associative Property of Addition

b)

Identity Property of Addition

c)

Commutative Property of Addition

d)

Identity Property of Multiplication

163.

Which of the following choices demonstrates the Commutative Property of Multiplication?

a)

ab = ba

b)

a(b + c) = ab + ac

c)

a(1) = a

d)

b(0) = 0

164.

Which of the following choices demonstrates the Multiplicative Identity?

a)

u(1) = u

b)

u(0) = 0

c)

uv = vu

d)

u(vw) = (uv)w

165.

9 ^_x 2 = 2 ^_x 9

a)

Commutative Property of Multiplication

b)

Associative Property of Multiplication

c)

Multiplicative Inverse Property

d)

Distributive Property

166.

(7 + 3) + 4 = 7 + ( 3 + 4)

a)

Distributive Property

b)

Commutative Property of Addition

c)

Associative Property of Multiplication

d)

Associative Property of Addition

167.

Which equations show the commutative property of multiplication?

a)

5 × 4 = 4 × 5

b)

4 × 2 + 7 = 4 × 9

c)

4 + 4 + 1 + 1 = 2 × 5

d)

6 + 6 + 6 + 6 + 6 + 6= 3 × 3 × 4

168.

Which property is this example?
5 x 6 = 6 x 5

a)

Commutative property of multiplication

b)

Associative Property of multiplication

c)

Distributive property of multiplication

d)

Identity property of multiplication

169.

Which of the following choices demonstrates the Commutative Property of Addition?

a)

a + (b + c) = (a + b) + c

b)

a + b = b + a

c)

a + 0 = a

d)

a + (-a) = 0

McMath 6th Grade Winter Break Review

Total questions: 169

Worksheet time: 5hrs 5mins

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