Free Printable IAR review

1.

If there are 5 boys and 7 girls, write the ratio of girls to boys.

a)

5 to 7

b)

7 to 5

c)

5 to 12

d)

7 to 12

2.

Using the Ratio Table, what is the value of B?

a)

3

b)

9

c)

2

d)

6

3.

Refer to the double number line:

If Kim makes 8 loaves of bread, how many cups of raisins did she use?

a)

4

b)

16

c)

12

d)

24

4.

The double number line shows that a water park allows 18 people to go down their giant water slide in 3 minutes. How long would it take 12 people to go down the slide?

a)

1 minute

b)

2 minutes

c)

3 minutes

d)

No way to find out.

5.

Maria walks 12 miles in 3 hours. How many miles does she walk per hour?

a)

36

b)

4

c)

5

d)

32

6.

You score 84 points in 6 games. How much do you score per game?

a)

14

b)

13

c)

12

d)

11

7.

If Anna can type 408 words in 4 minutes, how many words can she type per minute?

a)

408

b)

400

c)

100

d)

102

8.

Paul wants to buy a shirt for his brother for Christmas. The regular price of the shirt is $20. There is a 40% discount in the entire store. How much is the discount on the shirt?

a)

$50 discount

b)

$8 discount

c)

$12 discount

d)

$6 discount

9.

Jason saved 30% of the money he got for his birthday. If he saved $12, how much money did he get for his birthday?

a)

$40

b)

$80

c)

$25

d)

$50

10.

60% of the animals at a pet shop are dogs. If there are 42 dogs at the shop, then how many animals are there altogether?

(a)

11.

In the school election James ran against Ben for secretary. James received 75% of the votes. If 240 students voted, how many votes did James receive?

a)

175

b)

160

c)

153

d)

180

12.

What does the underlined portion represent?

The amount of food I eat at a restaurant vs the cost of the check

a)

Independent

b)

Dependent

13.

On a graph, which axis shows the dependent variable?

a)

x-axis

b)

y-axis

14.

On a graph, which axis shows the independent variable?

a)

x-axis

b)

y-axis

15.

Select the correct independent and dependent parts of the graph .

(choose 2 answers)

a)

The dependent variable is total cost

b)

The dependent variable is weight

c)

The independent variable is total cost

d)

The independent variable is the weight of the package

16.

If 30 kids in the class like grape juice, how many kids like pineapple juice? Use the tape diagrams to answer.

a)

4

b)

30

c)

70

d)

40

17.

The ratio of girls to boys is 3:8. If there are 48 boys, how many girls are there? Use the tape diagram to help you solve.

a)

6

b)

24

c)

18

d)

72

18.

An equivalent ratio to 4:5 is

a)

10:8

b)

8:15

c)

12:10

d)

12:15

19.

In a bag of Jolly Ranchers, the ratio of blue to red is 3 to 4. If I have a TOTAL of 56 Jolly Ranchers, how many of them are blue? Solve with a tape diagram.

a)

12

b)

28

c)

32

d)

24

20.

5 yards = __ feet (Hint: there are 3 feet in 1 yard)

a)

5

b)

15

c)

20

d)

25

21.

How many pints make a 3 quarts? (Hint: There are 2 pints in a quart)

a)

2

b)

4

c)

6

d)

8

22.

3 miles = ______ feet (Hint: 1 mile = 5,280 ft.)

a)

1,760 feet

b)

15,840 feet

c)

10,560 feet

d)

9 feet

23.

88 fl oz = ______ cup (Hint: 8 fluid ounces = 1 cup)

a)

11

b)

10

c)

704

d)

96

24.

12 is 60% of what number?

a)

20

b)

24

c)

7.2

d)

720

25.

Shannon baked 75 cupcakes for the school bake sale. She sold 72% of the cupcakes. How many cupcakes did she sell?

a)

60 cupcakes

b)

54 cupcakes

c)

21 cupcakes

d)

72 cupcakes

26.

Caroline bought a watermelon that weighed $2\frac{1}{2}$ pounds. If there are 16 ounces in 1 pound, how many ounces did the watermelon weigh?

a)

48 ounces

b)

32.5 ounces

c)

32 ounces

d)

40 ounces

27.

Which division expression is the figure modeling?

a)

$6\div\frac{1}{3}$

b)

$3\div\frac{1}{6}$

c)

$\frac{1}{6}\div3$

d)

$\frac{1}{6}\div1$

28.

Use the ratio table to determine the cost for 75 items.

a)

$225

b)

$300

c)

$375

d)

$525

29.

What is the greatest common factor (GCF) of 15 and 30?

a)

15

b)

30

c)

5

d)

10

30.

What is the least common multiple (LCM) of 9 and 12?

a)

3

b)

12

c)

18

d)

36

31.

Which brand of chocolate milk has the best unit price per ounce?

a)

Choco-Dee-Lite

b)

Chocolate Silk

c)

Dream Chocolate

d)

Wellington's Chocolate

32.

The ratio of jumping jacks Lauryn can do in one minute is 25:1.

Which of the following statements is true?

a)

Lauryn can do 30 jumping jacks in 2 minutes.

b)

Lauryn can do 100 jumping jacks in 4 minutes.

c)

Lauryn can do 90 jumping jacks in 3 minutes.

d)

Lauryn can do 75 jumping jacks in 5 minutes.

33.

On a cold winter's day, the temperature at noon was 12.3 degrees. By 2 PM, it had risen 6.7 degrees. By 7 PM, it dropped back down 4.9 degrees. What was the temperature at 7 PM?

a)

14.1 degrees

b)

23.9 degrees

c)

0.7 degrees

d)

19.9 degrees

34.

If 8 ounces equal a cup, and 2 cups equal a pint, and 2 pints equal a quart, how many ounces are in 3 quarts?

a)

32 ounces

b)

96 ounces

c)

64 ounces

d)

128 ounces

35.

Marcus is making hot dogs and burgers for a cookout. For every 10 items he cooks, 4 are hot dogs and 6 are burgers. Which statement explains the ratio of hot dogs to food items?

a)

Out of every 10 food items, there are 6 burgers.

b)

Out of every 6 burgers, there are 4 hot dogs.

c)

Out of every 10 food items, 4 are hot dogs.

d)

Out of every 6 food items, 4 are hot dogs.

36.

Write the following in Exponential Form

4 x 4 x 4 x 4 x 4

a)

4⁵

b)

5⁴

c)

1,024

37.

Choose the answer.
5^{2 = ?}

a)

10

b)

15

c)

20

d)

25

38.

Amelia says that $10^2$ is 100. Jacinta says that $10^2$ is 20. Which student is correct?

a)

Amelia

b)

Jacinta

39.

How many terms are in the algebraic expression?

2y + x + 4

a)

4

b)

3

c)

5

d)

2

40.

Identify the coefficient in the expression.
6y + 7

a)

6y

b)

7

c)

6

d)

1

41.

Identify the constant:

7c + 8 y + 32

a)

7

b)

c

c)

y

d)

32

e)

8

42.

Identify the algebraic expression for: six more than twice a number

a)

6 + 2n

b)

6 - 2n

c)

2(n + 6)

d)

6(2n)

43.

Write an algebraic expression for:
three times a number plus 16

a)

3(16)+n

b)

16n+3

c)

3n+16

44.

5 less than the product of 7 and s

a)

7s - 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

45.

Simplify: 10w + 3d + 3w + d

a)

13w + 4d

b)

17wd

c)

13w + 3d

d)

Can't be simplified

46.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

47.

Which expressions are equal to the sum of 36 + 24? Choose ALL that apply.

a)

6(5 + 4)

b)

3(6 + 8)

c)

12(3 + 2)

d)

(12 x 3) + (12 x 2)

e)

(12 + 3) + (12 + 2)

48.

Simplify the expression:
8(5 + w)

a)

40 + w

b)

40+8w

c)

85 + 8w

d)

13+8w

49.

Simplify the expression:

5(p - 6)

a)

5p - 30

b)

5p - 6

c)

p - 30

d)

5p + 11

50.

Factor in simplest form: 6x + 12

a)

3(2x + 4)

b)

6(x+2)

c)

6x(x+2)

d)

1/2 (3x + 24)

51.

Factor 12x - 20

a)

6(2x - 3)

b)

4(3x - 5)

c)

4x(3x - 5)

d)

3(4x + 6)

52.

Factor in simplest form: 6x + 12

a)

3(2x + 4)

b)

6(x+2)

c)

6x(x+2)

d)

1/2 (3x + 24)

53.

Factor 12x - 20

a)

6(2x - 3)

b)

4(3x - 5)

c)

4x(3x - 5)

d)

3(4x + 6)

54.

$5^2-10\div2\times4$

a)

4

b)

5

c)

80

d)

160

55.

6³– 10 ÷ 5

a)

1.6

b)

200

c)

41.2

d)

214

56.

(15 ÷ 3)² + 9 ÷ 3

a)

11.3

b)

28

c)

13

57.

What is 4x if x=5?

a)

20

b)

16

c)

9

d)

45

58.

Simplify the expression if m = -7 and n = 4:

5m + 9n

a)

71

b)

1

c)

-1

d)

-71

59.

Evaluate 2a + 4b
if a = 10 and b = 6

a)

20

b)

24

c)

44

d)

4

60.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

61.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

62.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

63.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

64.

You can spend no more than 20 dollars on your mom's birthday present.

a)

x > 20

b)

x < 20

c)

x ≤ 20

d)

x ≥ 20

65.

you must be at least 48 inches to ride the roller coaster.

a)

x > 48

b)

x < 48

c)

x ≤ 48

d)

x ≥ 48

66.

What is the solution for x + 9 = 21

a)

10

b)

12

c)

11

d)

13

67.

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

68.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

69.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

70.

Which choice models this situation?

Anna participated in a read-a-thon. Mr. Cole pledged $4 per book and gave Anna $44. How many books did Anna read?

a)

b - 4 = 44

b)

b + 4 = 33

c)

4b = 44

d)

b/4 = 44

71.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

72.

y - 4.6 = 12

a)

16.6

b)

5.8

c)

7.4

d)

Answer not Given

73.

What is the Least Common Multiple of 4 and 14

a)

28

b)

42

c)

56

d)

24

74.

Two neon signs are turned on at the same and begin to blink. One sign links every 9 seconds. The other blinks every 15 seconds. In how many seconds will they blink together?

a)

3

b)

5

c)

45

d)

9

75.

What is the Least Common Multiple of 12 and 10?

a)

22

b)

44

c)

110

d)

120

76.

What is the GCF of 18 and 24?

a)

3

b)

6

c)

8

d)

9

77.

What is the GCF of 4 and 12?

a)

3

b)

1

c)

6

d)

4

78.

Jane has 18 juice boxes, 24 bags of peanuts and 36 apples. She wants to make snack bags with the same number of each thing in each bag. What is the greatest number of snack bags Jane can make.

a)

4

b)

6

c)

8

d)

10

79.

7.87 + 3.6 =

a)

11.47

b)

4.27

c)

8.23

d)

10.93

80.

31.5 + 6.24

a)

37.74

b)

93.9

c)

32.124

d)

30.74

81.

What is 4.09 - 2.27?

a)

1.82

b)

6.36

c)

2.40

d)

2.02

82.

What is 7.4 - 6.09

a)

3.90

b)

13.49

c)

3.98

d)

1.31

83.

7.13 x 5.5

a)

39.215

b)

3.9215

c)

392.15

d)

3921.5

84.

5.78 x 3.5

a)

0.223

b)

2.23

c)

22.3

d)

20.23

85.

36.8 ÷ 2

a)

18.4

b)

184

c)

18.04

d)

1.84

86.

1.44 ÷ 0.4

a)

36

b)

3.6

c)

126

87.

Find the sum.
1/2 + 2/5

a)

3/7

b)

3/10

c)

9/10

d)

1 1/10

88.

$4\ \frac{7}{8}$ + $\frac{1}{4}$

a)

5

b)

$5\ \frac{1}{8}$

c)

$5\ \frac{2}{8}$

89.

3/4 - 1/2

a)

1/3

b)

1/4

c)

2/3

d)

1/5

90.

1/2 - 1/8

a)

5/8

b)

2/5

c)

3/8

d)

5/6

91.

What is 2/3 x 2/3

a)

4/5

b)

2/3

c)

4/9

d)

4/6

92.

Write 4 ⅔ as an improper fraction.

a)

12/3

b)

14/5

c)

14/3

d)

14/12

93.

Solve.

a)

$\frac{8}{9}$

b)

$\frac{1}{5}$

c)

1

d)

$\frac{4}{5}$

94.

¹/₄ ÷ ²/₅

a)

⁵/₈

b)

2/20

c)

¹/₁₀

d)

³/₉

95.

What is the absolute value of | 8 |?

a)

8

b)

-8

c)

0

d)

16

96.

What is the absolute value of | -7 |?

a)

-7

b)

7

c)

-7 and 7

97.

Where is Point A on the coordinate plane?

a)

(7,4)

b)

(1,3)

c)

(9,3)

d)

(4,7)

98.

Points G, H, and I are plotted on the coordinate grid. How many units are between points G and H?

a)

15 units

b)

14 units

c)

10 units

d)

9 units

99.

What is the ordered pair for point on the graph?

a)

(-2, 3)

b)

(3, 2)

c)

(-2, -3)

d)

(2, -3)

100.

Order the numbers from greatest to least.

a)

-2.35, -2.54, -2.01, 2.01, 2.35, 2.54

b)

2.54, 2.35, 2.01, -2.01, -2.35, -2.54

c)

2.01, 2.35, 2.54, -2.54, -2.35, -2.01

d)

2.54, 2.35, 2.01, -2.54, -2.35, -2.01

101.

Which point on the number line best represents -1.2?

a)

A

b)

B

c)

C

d)

D

e)

E

102.

List the following numbers from least to greatest.
$\frac{5}{4},\ 56\%,\ 1.07,\ \frac{4}{5}$

a)

$\frac{4}{5},\ \frac{5}{4},\ 1.07,\ 56\%$

b)

$\frac{4}{5},\ 56\%,\ \frac{5}{4},\ 1.07$

c)

$56\%,\ \frac{4}{5},\ \frac{5}{4},\ 1.07$

d)

$56\%,\ \frac{4}{5},\ 1.07,\ \frac{5}{4}$

103.

Find the mean of the set of numbers below
5, 6, 3, 2, 6

a)

4.4

b)

6

c)

22

d)

11

104.

Find the median of the set of numbers below
5, 6, 3, 2, 6

a)

6

b)

3

c)

2

d)

5

105.

Find the mode of the set of numbers below
5, 6, 3, 2, 6

a)

2

b)

3

c)

5

d)

6

106.

Find the range of the set of numbers below
5, 6, 3, 2, 6

a)

4

b)

10

c)

3

d)

1

107.

Find the mean of the set of numbers below
25, 20, 16, 25, 10, 12

a)

18

b)

108

c)

54

d)

20

108.

Find the median of the set of numbers below
25, 20, 16, 25, 10, 12

a)

18

b)

16

c)

25

d)

20.5

109.

Find the mode of the set of numbers below
25, 20, 16, 25, 10, 12

a)

19

b)

16

c)

20

d)

25

110.

Find the range of the set of numbers below
25, 20, 16, 25, 10, 12

a)

15

b)

13

c)

10

d)

5

111.

How many students received a score of 94%?

a)

94

b)

4

c)

1

d)

2

112.

What is the highest score in the class?

a)

88%

b)

100%

c)

13

d)

98%

113.

How many total students are in the science class?

a)

13

b)

6

c)

27

d)

25

114.

What is the median of this data set?

a)

8

b)

12

c)

15

d)

19

115.

What is the least and greatest value of this data set?

a)

6 and 8

b)

6 and 19

c)

8 and 15

d)

15 and 19

116.

What is the range of this data set?

a)

6

b)

12

c)

13

d)

19

117.

How many cities have temperatures between 70 degrees and 99 degrees?

a)

44

b)

34

c)

26

d)

62

118.

Which interval has 400 employees?

a)

33-43

b)

0-10

c)

77-87

d)

66-76

119.

How many students are between 48 and 51 inches tall?

a)

14

b)

8

c)

2

d)

0

120.

Which interval shows the greatest number of pets?

a)

15-19

b)

0-4

c)

5-9

d)

10-14

121.

How many students scored between a 86 and a 90?

a)

1

b)

3

c)

6

d)

10

122.

The histogram shows the birth weights of 100 new born babies. How many babies weighed 8 pounds or more?

a)

22

b)

23

c)

30

d)

45

123.

How many people watched more than 25 hours of TV last week?

a)

0

b)

10

c)

38

d)

42

IAR review

Total questions: 123

Worksheet time: 2hrs 3mins

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