Free Printable Christmas Break Packet

1.

Select ALL perfect squares

a)

1

b)

81

c)

169

d)

196

e)

8

2.

What form is this expression written in?

4³

a)

Word Form

b)

Exponential

c)

Expanded

3.

Select ALL Integers

a)

-1

b)

0

c)

3.5

d)

15.00

e)

-7.0

4.

Complete the expression

-8 _____ -6

a)

<

b)

>

c)

=

5.

Complete the sentence:

The further you go _______ on a number line, the smaller the numbers get.

a)

Left

b)

Right

c)

Neither

6.

Which has an absolute value of 6

a)

-6

b)

6

c)

0

d)

6.0

e)

$\frac{1}{6}$

7.

When using the powers of ten rule, my base is always _____.

a)

twelve (12)

b)

one (1)

c)

zero (0)

d)

ten (10)

8.

The perfect square is the ________ of a number multiplied by itself.

a)

product

b)

quotient

c)

divisor

d)

multiplier

9.

An exponent tells you have many times to ________ a number

a)

add

b)

multiply

10.

What perfect square is between 36 and 64

a)

72

b)

40

c)

49

d)

62

11.

What is 10⁵?

a)

1,000,000

b)

100,000

c)

100

d)

100,000,000

12.

If my square garden is 121 cm²what is the length of my sides?

a)

15

b)

8

c)

12

d)

11

13.

Evaluate 15²

a)

121

b)

169

c)

125

d)

225

14.

How do you say this expression? 7³

a)

seven squared

b)

seven cubed

c)

seven to the power of cubed

d)

seven to the power of squared

15.

Absolute value is

a)

length

b)

negative

c)

the distance from zero

16.

The thermometer shows 37 degrees. What temperatures are below 37 degrees?

a)

0

b)

-2

c)

40

d)

-37

17.

The first play of a football game resulted in a loss of 12 yards. Then a penalty resulted in another loss of 5 yards. What is the total loss or gain?

a)

a gain of 7 yards

b)

a loss of 7 yards

c)

a gain of 17 yards

d)

a loss of 17 yards

18.

Eleni withdrew $45 from her savings account. She then used her debit card to buy groceries for $30.15. What was the total amount Eleni took out of her account?

a)

$75.15

b)

$14.85

c)

$15.85

d)

$75

19.

What is the expression that matches this situation?
Robbie went parasailing. His sail reached 141 feet. It descended 22 feet before staying in the same place for 10 minutes. What was the height that it stayed in for 10 minutes?

a)

163 feet

b)

119 feet

c)

-191 feet

d)

19 feet

20.

Melody had to make a visit to the bank because her account was overdrawn by $32. After making a deposit of $100, Melody was now happy that she had some money. How much money did she have after making the deposit?

a)

$100

b)

-$78

c)

$68

d)

$32

21.

A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.

a)

-9 + (-22) = -13

b)

9 + (-22) = 13

c)

9 + (-22) = -13

d)

none

22.

A diver was 40 feet below the surface of the water. A fisherman was casting off a dock right above the diver that was 12 feet above the surface of the water. How far apart are the diver and the fisherman?

a)

28 feet

b)

-28 feet

c)

52 feet

d)

-52 feet

23.

A climber starts descending from 533 feet above sea level and keeps going until she reaches 10 feet below sea level. How many feet did she descend?

a)

523 feet

b)

543 feet

c)

0 feet

d)

500 feet

24.

The price of a share of stock started the day at $37. During the day it went down $3, up $1, down $7, and up $4. What was the price of a share at the end of the day?

a)

$27

b)

$31

c)

$32

d)

$35

25.

The temperature drops 2°F each hour. What is the total change in temperature after 12 hours?

a)

-24

b)

26

c)

24

d)

-26

26.

Mrs. Bautista has a bank balance of -42 dollars at the start of the month. After she deposits 6 dollars, what is the new balance?

a)

-47

b)

47

c)

-36

d)

36

27.

A sprinkler was -8 feet below ground level. Mr. S has a machine that digs - 2 feet at a time.How many digs does he need to make in order to reach the sprinkler?

a)

4

b)

10

c)

-4

d)

-10

28.

Julio is playing a trivia game. On his first turn, he lost 100 points. On his second turn, he lost 75 points. On his third turn, he lost 85 points. Write an expression showing the change to Julio’s score after his first three turns.

a)

none

b)

-100 + (-75) + (-85) ---> -260 Down 260 points.

c)

100 + (-75) + (-85) ---> -260 Down 260 points.

d)

-100 + (-75) + (-85) ---> 260 Gained 260 points.

29.

Steve has overdrawn his checking account by $27. His bank charged him $15 for an overdraft fee. Then he quickly deposited $100. What is his current balance?

a)

$83

b)

$97

c)

$68

d)

$58

30.

Your checking account is overdrawn by $30. Then your bank charged you a fee of $25. Which expression below represents the balance in your checking account?

a)

(-30) + (-25)

b)

(-30) + 25

c)

30 + (-25)

d)

30 - (-25)

31.

-2 + 4

a)

-2

b)

2

c)

0

d)

-4

32.

3 + -7

a)

10

b)

4

c)

-10

d)

-4

33.

-14 + (-3)

a)

-17

b)

11

c)

-11

d)

17

34.

-8 + 13

a)

21

b)

-21

c)

5

d)

-5

35.

3 + -7

a)

10

b)

4

c)

-10

d)

-4

36.

-9 + (-5)

a)

-14

b)

14

c)

-4

d)

0

37.

-10 + 10

a)

20

b)

0

c)

-20

d)

100

38.

-4 + -3

a)

-7

b)

7

c)

1

d)

-1

39.

-3 + 2

a)

5

b)

-1

c)

-5

d)

1

40.

8 + -8

a)

1

b)

-16

c)

16

d)

0

41.

8 + -4

a)

-4

b)

12

c)

4

d)

-12

42.

-8 + 20

a)

-28

b)

28

c)

14

d)

12

43.

10 + (-4) = ?

a)

-6

b)

6

c)

14

d)

-14

44.

3 + -7

a)

10

b)

4

c)

-10

d)

-4

45.

10 + (-4) = ?

a)

-6

b)

6

c)

14

d)

-14

46.

4 + (-5)

a)

9

b)

-9

c)

1

d)

-1

47.

2 + (-21)

a)

19

b)

-19

c)

-23

d)

23

48.

-9 + 9

a)

0

b)

18

c)

1

d)

-18

49.

-7 + -5

a)

12

b)

2

c)

-12

d)

-2

50.

-8 + 20

a)

-28

b)

28

c)

14

d)

12

51.

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

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

52.

Which of the following is a perfect square?

a)

39

b)

50

c)

6

d)

81

53.

Which is equivalent to 2⁴?

a)

8

b)

20

c)

16

d)

12

54.

5⁴=

a)

20

b)

625

c)

1024

55.

What is the power to this problem?
6 x 6 x 6 x 6 x 6 x 6 x 6

a)

6 to the 7th power

b)

6 to the 8th power

c)

7 to the 9th power

d)

10 to the 5th power

56.

Write each product using an exponent.
4 x 4 x 4 x 4 x 4

a)

4⁵

b)

5⁴

c)

4⁶

d)

4⁶

57.

1²

a)

1

b)

2

c)

0

d)

-1

58.

4²

a)

8

b)

15

c)

18

d)

16

59.

3²

a)

6

b)

12

c)

9

d)

10

60.

13²

a)

26

b)

196

c)

144

d)

169

61.

Which operation would you do first in the following equation?
10 - 4 ÷ 1 · 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

62.

7 + (12-3)²

a)

256

b)

88

c)

10

d)

13

63.

2 + (9²- 4)

a)

16

b)

77

c)

79

64.

Solve the following:
-2 ⋅ (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

65.

Solve the following:
-8 + (15-3) ÷ 4

a)

-5

b)

1

c)

-11

d)

11

66.

Find and explain the error.
5 - 3 + 2
5 - 5
0

a)

There is no error.

b)

Addition was done first and you should have subtracted first

c)

There is a subtraction error

67.

a)

1

b)

22

c)

11

d)

7

68.

What is the first step in solving this problem:
-12 ÷ 6 (-3) + 8

a)

multiplication

b)

addition

c)

division

d)

subtraction

69.

True or False?
2 + (-6)2 = -10

a)

True

b)

False

70.

Solve the following:
25 ÷ 5 × 3 – 3

a)

12

b)

2

c)

0

d)

300

71.

What would be the 2nd step in solving this problem:
-12 ÷ 6 + -3 ∘ 7

a)

multiplication

b)

subtraction

c)

addition

d)

division

72.

Solve the following:
-14 ÷ 2 – 15

a)

-8

b)

-22

c)

8

d)

22

73.

Solve the following:
-8 + (15-3) ÷ 4

a)

-5

b)

1

c)

-11

d)

11

74.

Compare the two numbers by selecting the correct symbol
-19 __ -9

a)

<

b)

>

c)

=

75.

Choose the inequality symbol that makes the sentence true.
0 ___ - 8

a)

<

b)

>

c)

=

76.

Choose the inequality symbol that makes the sentence true.
| -3 | ____ | 8 |

a)

<

b)

>

c)

=

77.

Choose the symbol that makes the sentence true.
4 ___ | -4 |

a)

<

b)

>

c)

=

78.

Compare: 18 ? 23

a)

>

b)

<

c)

=

79.

Compare: -3 ? -5

a)

>

b)

<

c)

=

80.

Compare: 6 ? -3

a)

=

b)

>

c)

<

81.

Compare: 0 ? 8

a)

=

b)

>

c)

<

82.

Compare these Integers using the symbols:
< > =
3 ____ -6

a)

<

b)

>

c)

=

83.

a)

A < E

b)

B > C

c)

D < B

d)

D > F

84.

If I have a negative multiplied with a positive, what will the answer be?

a)

Positive

b)

Negative

85.

If I have a positive multiplied with a positive, what will the answer be?

a)

Positive

b)

Negative

86.

If I have two negatives what will the product be?

a)

Negative

b)

Positive

87.

(2)(10)

a)

20

b)

-20

c)

-12

d)

12

88.

4(-20)

a)

80

b)

-80

c)

24

d)

-24

89.

(-5)(-12)

a)

-60

b)

60

90.

(-9)(-8)

a)

-72

b)

72

91.

4 x -5

a)

20

b)

-20

c)

-9

d)

9

92.

-10 x -11

a)

110

b)

-110

c)

21

d)

-21

93.

Which expression DOES NOT have a product of −18?

a)

−2 ∗ −9

b)

−6 ∗ 3

c)

−3 ∗ 6

d)

−9 ∗ 2

94.

-9x9

a)

-81

b)

2

c)

9

d)

fluffy

95.

-20/5=

a)

-4

b)

4

c)

-100

d)

100

96.

-30/-10=

a)

-30

b)

-3

c)

3

d)

30

97.

(-25) ÷ (-5)

a)

5

b)

-5

c)

-20

d)

-30

98.

44/-4=

a)

11

b)

-8

c)

-11

d)

-1/11

99.

-15 ÷ 3

a)

-12

b)

-5

c)

-18

d)

5

100.

-30 ÷ (-10)

a)

3

b)

-3

c)

-20

d)

20

101.

Does the expression -13 x (-2) result in a positive or negative number?

a)

positive

b)

negative

102.

Does the expression -8 divided by 4 result in a positive or negative number?

a)

positive

b)

negative

103.

Does the expression 10 x (-4) result in a positive or negative number?

a)

positive

b)

negative

104.

Does the expression -5 x (-5) result in a positive or negative number?

a)

positive

b)

negative

105.

True or false?

-4 divided by 1 is -4.

a)

True

b)

False

106.

True or false?

-6 divided by (-2) is -3.

a)

True

b)

False

107.

-3(-4)

a)

-12

b)

7

c)

-7

d)

12

108.

-7(10)=

a)

70

b)

700

c)

-70

d)

-700

109.

-20/5=

a)

-4

b)

4

c)

-100

d)

100

110.

-18 ÷ (-2)

a)

9

b)

-9

c)

-20

d)

10

111.

64 ÷ (-8)

a)

8

b)

-8

c)

-9

d)

-7

112.

(-25) ÷ (-5)

a)

5

b)

-5

c)

-20

d)

-30

113.

(-4)(6)

a)

-24

b)

24

114.

Which integer represents a withdrawal from your bank account of $50

a)

-$50

b)

$50

c)

+$50

115.

Which situation could the integer -50 represent?

a)

An increase of $50 in a bank account

b)

The temperature on a warm spring day

c)

The distance driven on the way to the beach

d)

A decrease of 50 employees

116.

Find the product:

a)

2/14

b)

1/49

c)

2/7

d)

1/14

117.

Find the product:

a)

9/24

b)

9/28

c)

6/32

d)

1/28

118.

Find the product:

a)

3/50

b)

30/5

c)

6

d)

1 1/5

119.

Multiply these fractions:

a)

1/5

b)

1 / 1

c)

1 / 6

d)

0

120.

$\frac{3}{5}$ x 6 =

a)

3 $\frac{3}{5}$

b)

$\frac{6}{15}$

c)

$\frac{3}{6}$

d)

1 $\frac{8}{12}$

121.

3 x $\frac{2}{3}$

a)

1 1/3

b)

2

c)

$\frac{6}{9}$

d)

$3$

122.

1 $\frac{1}{4}$ × $2\ \frac{3}{4}$ =

a)

3 ⁷/₁₆

b)

1 ¹/₂

c)

2 ³/₁₆

d)

4 ¹/₄

123.

$5\ \frac{1}{3}\ \times\ \frac{1}{2}$

a)

2 $\frac{2}{3}$

b)

5 $\frac{1}{6}$

c)

4

d)

$\frac{3}{4}$

124.

Multiply these fractions

a)

2 / 18

b)

2 / 7

c)

1 1/3

d)

2 / 1.6

125.

Multiply

a)

5 / 9

b)

3/10

c)

5 / 20

d)

23 / 20

126.

2 ³/₄ × 4 =

a)

4

b)

11

c)

24 ¹/₃

d)

120

127.

$\frac{1}{2}\ x\ \frac{2}{4}$

a)

$\frac{1}{4}$

b)

3

c)

$\frac{2}{4}$

d)

$\frac{1}{8}$

128.

$4\frac{1}{2}\ \times\ \frac{3}{4}\$

a)

$\frac{9}{2}$

b)

$\frac{3}{4}$

c)

3 $\frac{3}{8}$

d)

2

129.

9 $\frac{3}{5}$ x $\frac{1}{2}$

a)

$\frac{48}{5}$

b)

4 $\frac{4}{5}$

c)

$\frac{1}{2}$

d)

$\frac{1}{3}$

130.

9 $\frac{1}{3}$ x $\frac{1}{3}$

a)

$\frac{3}{5}$

b)

3 $\frac{1}{9}$

c)

3

d)

$\frac{1}{3}$

131.

What problem is represented by the model?

a)

1/2 x 3/10

b)

3/5 x 9/50

c)

3/5 x 3/10

d)

2/5 x 3/5

132.

Which product is represented by the model?

a)

2/3 of 3/4

b)

6/12 of 2/3

c)

1/2 of 3/4

d)

1/12 of 2/3

133.

What equation do you see modeled?

a)

6/12 * 5/6 = 30/72

b)

3/4 * 2/3 = 6/12

c)

9/12 * 8/12 = 1/2

d)

1/4 * 1/3 = 1/12

134.

What equation do you see modeled?

a)

5 * 2/6 = 10/6

b)

2/5 * 3/5 = 6/25

c)

6 * 2/5 = 12/5 =2 2/5

d)

3/5 * 6 = 3

135.

What multiplication problem is being modeled in this picture?

a)

3/8 x 1/4

b)

1/8 x 3/4

c)

3/7 x 1/4

d)

1/7 x 3/4

136.

What multiplication problem is being modeled in this picture?

a)

3/4 x 3/4

b)

4/3 x 4/3

c)

3/4 x 3/5

d)

3/4 x 4/3

137.

What does this model represent?

a)

3/2 x 1/3 = 1/6

b)

2/3 x 1/2 = 1/6

c)

1/2 x 1/3 = 4/6

d)

1/3 x 1/2 = 1/6

138.

Which expression represents the area of the darker section on the model?

a)

³/₄ x ¹/₂

b)

³/₇ x ¹/₃

c)

³/₄ x ¹/3

d)

¹/₇ x ¹/₃

139.

a)

3/4 x 2/3 = 6/12

b)

1/3 x 1/4 = 2/12

c)

2/3 x 1/4 = 9/12

d)

2/3 x 1/4 = 2/12

140.

What is the answer to the model shown?

a)

1/16

b)

1/4

c)

7/16

d)

1/2

141.

What multiplication problem is being modeled in this picture?

a)

3/4 x 3/4

b)

4/3 x 4/3

c)

3/4 x 3/5

d)

3/4 x 4/3

142.

a)

2/3 x 2/5

b)

2/5 x 4/10

c)

6/15 x 2/15

d)

4/10 x 2/5

143.

a)

8/12 x 9/12

b)

6/12 x 5/12

c)

3/12 x 2/12

d)

3/4 x 2/3

144.

a)

1/3 x 1/3

b)

3/12 x 4/12

c)

1/4 x 1/3

d)

1/12 x 6/12

145.

Which expression represents the area of the darker section on the model?

a)

³/₄ x ¹/₂

b)

³/₇ x ¹/₃

c)

³/₄ x ¹/3

d)

¹/₇ x ¹/₃

146.

Connie drew a model to help solve a problem. Which expression is represented by the model?

a)

⁴/2 x ³/₆

b)

⁴/2 x ⁶/₃

c)

²/₄ x ³/₆

d)

²/₄x ⁶/₃

147.

Which of the following expressions can be represented by the model?

a)

5 x 3

b)

6 x 5

c)

¹/₅ x 6

d)

¹/₆ x 5

148.

Find the product.

a)

2/14

b)

1/49

c)

2/7

d)

1/14

149.

7/2= what as a mixed number?

a)

3 _1/2

b)

4_ 3/2

c)

4_ 1/2

d)

2 _3/2

150.

10/3= what as a mixed number?

a)

2_ 4/3

b)

3_ 2/3

c)

3 _1/3

d)

4 _3/3

151.

5/4= what as a mixed number?

a)

1_ 4/4

b)

1_ 1/4

c)

1 _1/5

d)

1 _4/5

152.

32/10=what as a mixed number?

a)

3_ 2/10

b)

2_ 2/10

c)

3/10

d)

3 _1/10

153.

21/5= what as a mixed number?

a)

5_ 1/5

b)

4 _2/5

c)

4 _1/5

d)

5 _4/5

154.

Write 15/4 as a mixed number.

a)

3_ 3/4

b)

3 _1/4

c)

4_ 1/4

d)

4 _1/5

155.

20/3= what as a mixed number?

a)

5_ 5/3

b)

6_ 2/3

c)

7_ 1/3

d)

6_ 3/3

156.

What is the quotient of these fractions in lowest terms?

a)

6/40

b)

6/10

c)

3/5

d)

12/20

157.

What is the recriprocal of 4/5

a)

4/5

b)

5/4

c)

5/1

d)

1/5

158.

Change 5 3/4 into an improper fraction

a)

23/4

b)

4/23

c)

20/4

d)

5 4/3

159.

What is the recriprocal of 5

a)

5/1

b)

1/5

160.

What is another name of flip?

a)

Flip

b)

Reciprocal

161.

3 ÷ 1/2

a)

1/6

b)

1 1/3

c)

3

d)

6

162.

Simplify: 16/30

a)

4/7

b)

8/15

c)

1/8

d)

2/7

163.

Find the reciprocal of ⅛

a)

8

b)

1/8

c)

16

d)

64

164.

⁴/₉ ÷ ¹/₂

a)

⁸/₉

b)

⁵/₁₁

c)

⁶/₁₀

d)

⁴/₁₈

165.

Write the fraction in simplest form: 24/72

a)

⅓

b)

⅛

c)

4

d)

12/36

166.

Divide

a)

1

b)

6/11

c)

6/5

d)

11/5

167.

What is the quotient of these fractions in lowest terms?

a)

6/40

b)

6/10

c)

3/5

d)

12/20

168.

$Find\ the\ equivalent\ \exp ression\ \ \frac{5}{3}\div\frac{3}{5}$

a)

$\frac{3}{5}\times\frac{3}{5}$

b)

$\frac{5}{3}\div\frac{5}{3}$

c)

$\frac{5}{3}\times\frac{3}{5}$

d)

$\frac{5}{3}\times\frac{5}{3}$

169.

$3\frac{1}{2}\div1\frac{1}{4}$

a)

$\frac{28}{10}$

b)

$2\frac{8}{10}$

c)

$2\frac{4}{5}$

170.

Name the reciprocal for 3/27

a)

27/3

b)

9

c)

1/9

d)

3/27 does not have a reciprocal

Christmas Break Packet

Total questions: 170

Worksheet time: 43hrs 30mins

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