Free Printable Questions: Indices, Fraction, Inequalities, and Probability

1.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

2.

Simplify 4⁰

a)

1

b)

4

c)

0

3.

a⁷×a⁴÷a⁵

a)

a⁷

b)

a⁶

c)

a⁴

d)

a¹¹

4.

Write (4⁷ x 4³) ∕ 4⁴ as a single power

a)

4¹⁴

b)

4¹

c)

4⁸

d)

4⁶

5.

a)

y⁴

b)

y⁵

c)

y⁶

d)

6^y

6.

a)

z¹

b)

1

c)

0

d)

z^-1

7.

a)

t²⁴

b)

t¹²

c)

t¹⁸

d)

t^-12

8.

Calculate 3a⁸ x 4a²

a)

12a¹⁰

b)

12a¹⁶

c)

7a¹⁰

d)

7a¹⁶

9.

Simplify: (4pq³)² ÷ (2p²q)³

a)

2p^-4q³

b)

8p⁴q³

c)

16p⁴q²

d)

4p^-4q²

10.

Simplify

a)

10x³

b)

x⁴ / 2

c)

x³

d)

x³ / 2

11.

(3x²y³)²

a)

9x⁴y⁶

b)

3x⁴y⁵

c)

6x⁴y⁶

d)

9xy

12.

Simplify (34x⁵y⁶z^-7)⁰

a)

34x⁵y⁶ / z⁷

b)

34x⁵y⁶ / x^-7

c)

0

d)

1

13.

m² × n³ × m⁶ =

a)

m⁸n³

b)

m⁶n³

c)

mn¹¹

d)

mnm¹¹

14.

What is the correct law for division? a^m ÷ aⁿ =

a)

a^m-n

b)

a^m - aⁿ

c)

a^m÷n

d)

a^m/n

15.

Simplify: 3⁵ x 3⁷

a)

3¹²

b)

9¹²

c)

3³⁵

d)

9³⁵

16.

Simplify: 3x³ × 6x⁸

a)

18x¹¹

b)

18x²⁴

c)

9x¹¹

d)

9x²⁴

17.

Simplify: 42m¹² ÷ 7m⁶

a)

6m⁶

b)

6m²

c)

35m⁶

d)

35m²

18.

$a^x\div a^y$

a)

$a^{x+y}$

b)

$a^{x\div y}$

c)

$a^{x-y}$

d)

$a^{x\times y}$

19.

$\left(a^x\right)\ ^y$

a)

$a^{x+y}$

b)

$a^{x-y}$

c)

$a^{x\times y}$

d)

$a^{x\div y}$

20.

\frac{1}{3}+\frac{1}{2}

a)

$\frac{2}{5}$

b)

$\frac{4}{6}$

c)

$\frac{5}{6}$

d)

$\frac{1}{5}$

21.

\frac{2}{5}-\frac{1}{4}

a)

$\frac{3}{20}$

b)

$\frac{3}{9}$

c)

$\frac{1}{1}$

d)

$\frac{1}{9}$

22.

\frac{2}{3}\left(-\frac{1}{4}\right)

a)

$-\frac{8}{3}$

b)

$-\frac{5}{12}$

c)

$\frac{5}{12}$

d)

$-\frac{1}{6}$

23.

\frac{1}{9}\div\frac{2}{9}

a)

$\frac{3}{9}$

b)

$\frac{2}{81}$

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

24.

\frac{1}{2}+\frac{3}{8}

a)

$\frac{7}{8}$

b)

$-\frac{1}{8}$

c)

$\frac{3}{16}$

d)

$\frac{4}{3}$

25.

\frac{1}{3}-\frac{1}{5}

a)

$\frac{1}{2}$

b)

$\frac{2}{15}$

c)

$-\frac{1}{2}$

d)

$\frac{0}{-2}$

26.

\frac{\frac{-1}{3}}{\frac{6}{5}}

a)

$-\frac{2}{5}$

b)

$-\frac{6}{15}$

c)

$-\frac{5}{18}$

d)

$\frac{5}{18}$

27.

\frac{7}{9}\cdot\frac{2}{3}

a)

$\frac{7}{6}$

b)

$\frac{1}{9}$

c)

$\frac{13}{9}$

d)

$\frac{14}{27}$

28.

-\frac{1}{5}\div\frac{3}{4}

a)

$-\frac{19}{20}$

b)

$\frac{11}{20}$

c)

$-\frac{3}{20}$

d)

$-\frac{4}{15}$

29.

What is 1/2 of 10?

a)

5

b)

2.5

c)

3

d)

20

30.

What is 1/2 of 300?

a)

200

b)

150

c)

600

d)

250

31.

What is 1/4 of 32?

a)

8

b)

10

c)

6

d)

12

32.

What is 1/5 of 55?

a)

15

b)

10

c)

11

d)

14

33.

What is 1/3 of 60?

a)

15

b)

25

c)

10

d)

20

34.

What is 1/7 of 70?

a)

7

b)

10

c)

5

d)

12

35.

What is 2/5 of 40?

a)

20

b)

100

c)

16

d)

10

36.

What is 2/7 of 49?

a)

7

b)

10

c)

16

d)

14

37.

What is 3/10 of 100?

a)

28

b)

10

c)

30

d)

35

38.

What is 6/9 of 27?

a)

20

b)

4.5

c)

22

d)

18

39.

What is 4/6 of 36?

a)

24

b)

30

c)

32

d)

22

40.

What is 3/7 of 56?

a)

20

b)

22

c)

24

d)

26

41.

Convert to a decimal

a)

0.25

b)

0.7

c)

0.34

d)

0.75

42.

Convert to a decimal

a)

0.6

b)

0.3

c)

0.35

d)

0.06

43.

Convert to a decimal

a)

0.67

b)

6.7

c)

0.067

d)

6.07

44.

Convert to a decimal

a)

0.77

b)

1.77

c)

17.7

d)

0.177

45.

Convert to a decimal

a)

0.666...

b)

1.5

c)

0.5

d)

1.666...

46.

Convert to a decimal

a)

1.5

b)

10.5

c)

5.5

d)

11.5

47.

Convert to a decimal

a)

2.2

b)

1.8

c)

1.4

d)

0.8

48.

Convert 19% to a fraction

a)

¹⁹/₁₀₀

b)

⁹/₂₀

c)

¹/₉

d)

⁹/₅₀

49.

Convert 30% to a fraction

Simplify as much as possible

a)

³⁰/₁₀₀

b)

¹⁵/₅₀

c)

³/₁₀

d)

¹/₃

50.

Convert 40% to a fraction

Simplify as much as possible

a)

⁴⁰/₁₀₀

b)

⁴/₁₀

c)

²/₅

d)

¹/₄

51.

Convert 60% to a fraction

Simplify as much as possible

a)

⁶⁰/₁₀₀

b)

⁶/₁₀

c)

³/₅

d)

¹/₆

52.

Convert 25% to a fraction in its simplest form

a)

²/₅

b)

²⁵/₁₀₀

c)

⁵/₂₀

d)

¹/₄

53.

Convert to a percentage

a)

12%

b)

25%

c)

20%

d)

50%

54.

Convert to a percentage

a)

43%

b)

25%

c)

75%

d)

34%

55.

Convert to a percentage

a)

7%

b)

70%

c)

49%

d)

35%

56.

Convert to a percentage

a)

23%

b)

2.3%

c)

0.23

d)

32%

57.

Convert to a percentage

a)

20%

b)

25%

c)

5%

d)

21%

58.

Change 0.384 to a percent.

a)

3.84%

b)

384%

c)

38.4%

d)

38.4

59.

What number is 40% of 40?

a)

14

b)

16

c)

18

d)

40

60.

Write 0.39 as a percent.

a)

39

b)

3.9%

c)

39%

d)

.0039%

61.

Which set of rational numbers is arranged from greatest to least?

a)

-6/5, -1/2, 0, 1/9, 0.6, 1.0

b)

7/6, 0.9, 1/2, 3/8, -1/10, -0.7

c)

-3.25, 1/8, 7/5, 0.5, 1/3, 5/6

d)

9/8, 7/6, -5/12, -1.1, -10/5, -3.6

62.

Place the numbers in the correct ascending order.

\frac{1}{8}

12\%

0.13

\frac{128}{1000}

a)

$0.13$ $\frac{128}{1000}$ $12\%$ $\frac{1}{8}$

b)

$12\%$ $\frac{1}{8}$ $\frac{128}{1000}$ $0.13$

c)

$\frac{128}{1000}$ $0.13$ $12\%$ $\frac{1}{8}$

d)

$0.13$ $\frac{128}{1000}$ $\frac{1}{8}$ $12\%$

63.

$\Pi\ ,\ \ 31\%\ \ ,\ \ -0.32\ ,\ \ \frac{1}{3}\ ,\ \ \ 3.1$

Place the numbers in ascending order.

a)

π, 31%, -0.32, 1/3, 3.1

b)

-0.32, 31%, 1/3, 3.1, π

c)

-0.32, 1/3, 31%, 3.1, π

d)

-0.32, 31%, 1/3, π, 3.1

64.

$8\frac{7}{9}$ $8.772$ $\frac{35}{4}$ $\sqrt{77}$

Place in descending order.

a)

$\frac{35}{4}$ $8\frac{7}{9}$ $\sqrt{77}$

b)

$\frac{35}{4}$ $\sqrt{77}$

c)

$\frac{35}{4}$ $8.772$ $\sqrt{77}$

d)

$null$ $\sqrt{77}$ $8.772$ $\frac{35}{4}$

65.

Calculate $\frac{2}{3}$ of 72

a)

24

b)

36

c)

48

d)

60

66.

Which is bigger $\frac{3}{8}$ or $\frac{5}{12}$

a)

$\frac{3}{8}$

b)

$\frac{5}{12}$

67.

Work out $\frac{1}{4}\times\frac{2}{5}$ and simplify your answer fully

a)

$\frac{1}{10}$

b)

$\frac{1}{9}$

c)

$\frac{2}{9}$

d)

$\frac{2}{20}$

68.

Evaluate $\frac{1}{2}+\frac{1}{3}$

a)

$\frac{2}{5}$

b)

$\frac{5}{6}$

c)

$\frac{6}{5}$

d)

$\frac{2}{6}$

69.

Write $3\frac{2}{5}$ as an improper fraction

a)

$\frac{32}{5}$

b)

$\frac{16}{5}$

c)

$\frac{17}{5}$

d)

$\frac{33}{5}$

70.

Write $\frac{18}{4}$ as a mixed number in it's simplest form

a)

$4\frac{1}{2}$

b)

$4\frac{2}{4}$

c)

$4\frac{3}{4}$

71.

Calculate $1\frac{2}{7}\div\frac{3}{5}$ (more than one answer is correct - find ALL correct answers

a)

$\frac{4}{35}$

b)

$\frac{45}{21}$

c)

$2\frac{3}{21}$

d)

$2\frac{1}{7}$

72.

Convert 0.81 to a percentage

a)

0.81%

b)

0.18%

c)

8.1%

d)

81%

73.

Which is bigger:
70% or $\frac{4}{5}$ ?

a)

70%

b)

$\frac{4}{5}$

c)

They are the same

74.

What is 10% of 275

a)

27

b)

27.05

c)

2750

d)

27.5

75.

Reduce 360 by 10%

a)

342

b)

324

c)

328

d)

300

76.

My class size has increased by 35% this year. I had 20 students last year, how many do I have now?

a)

23

b)

25

c)

27

d)

29

77.

Mary decreased her time in the mile walk from 30 minutes to 24 minutes. Find the percentage decrease?

a)

25%

b)

20%

c)

15%

d)

10%

78.

20% of a number is 60, what is the number?

a)

300

b)

400

c)

500

d)

600

79.

6000 people enter a theatre. This is 75% of the total which the theatre can hold. How many MORE people can fit in the theatre?

a)

1500

b)

6500

c)

8000

d)

2000

80.

The number of children in a playground grew by 10% in thirty minutes. If there are 77 children in the park now, how many were there before?

a)

70

b)

71

c)

72

81.

28% as fraction is ________.

a)

7/25

b)

28/50

c)

28/10

d)

14/25

82.

6% as a decimal:

a)

0.06

b)

0.6

c)

6

d)

600

83.

Which expresses the fraction $\frac{2}{3}$ as a decimal?

a)

2.3

b)

0.3

c)

0.6

d)

0.6666...

84.

Write $\frac{1}{5}$ as a decimal

a)

0.5

b)

0.2

c)

0.15

d)

20%

85.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

86.

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

a)

≤, ≥

b)

<, >

87.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

88.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

89.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

90.

What are two solutions to x < 8?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

91.

7 is less than a number.

a)

x > 7

b)

x < 7

c)

x ≤ 7

d)

x ≥ 7

92.

"At most" and "No more than" are both clue words for...

a)

<

b)

>

c)

≤

d)

≥

93.

The product of x and 7 is not greater than 10

a)

7x >10

b)

7x ≤ 10

c)

7 + x < 10

d)

⁷ / _x < 10

94.

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

a)

s < 55

b)

s > 55

c)

s ≤ 55

d)

s ≥ 55

95.

x/4≤8

a)

x≤2

b)

x≤32

c)

x≤12

d)

x≤4

96.

-7 + 10z > -27

a)

z < -2

b)

z > -34

c)

2 > z

d)

z > -2

97.

Solve
3.6 - 4.85a ≥ -6.1

a)

2 ≤ a

b)

a ≤ 2

c)

-2 ≥ a

d)

a ≥ -2

98.

14 < -2a + 6 - 2a

a)

a > -2

b)

a < -2

c)

a > 2

d)

a < 2

99.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

100.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

101.

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

102.

A chef has 7 pounds of potatoes. She needs more than 14 pounds for dinner. What inequality describes the amount of potatoes the chef needs to buy?

a)

x - 7 > 14

b)

x + 7 > 14

c)

x - 7 < 14

d)

x + 7 < 14

103.

The maximum score on the pilot's test is 95 points.

a)

p < 95

b)

p > 95

c)

p ≥ 95

d)

p ≤ 95

104.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

105.

Which inequality matches the graph?

a)

x>-2

b)

x<-2

c)

x>-2

d)

x<-2

106.

Select all values that are solutions to the inequality x < 20

a)

0

b)

100

c)

10

d)

50

107.

-2x + 7 < 19

a)

x < 6

b)

x < -6

c)

x > 6

d)

x > -6

108.

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

a)

x > 48

b)

x < 48

c)

x ≤ 48

d)

x ≥ 48

109.

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

110.

You and your friends ate more than 8 slices of pizza at the party.

a)

x > 8

b)

x < 8

c)

x ≤ 8

d)

x ≥ 8

111.

A regular 6-sided die is to be rolled once. What is the probability that a number less than 3 is rolled?

a)

1/3

b)

1/6

c)

1/2

d)

2/3

112.

A spinner has 8 equal regions. Each region is marked with one of the following numbers: 10, 20, 30, 40, 50, 60, 70, 80. What is the probability of an even number being spun on the first roll?

a)

1/8

b)

1/2

c)

1

d)

3/8

113.

A coin is tossed and then a regular 6-sided die is rolled. What is the probability of the resulting outcome being

(tails, even)?

a)

1/2

b)

1/12

c)

1/6

d)

1/4

114.

One card is randomly picked from a regular deck of cards. What is the theoretical probability that the card picked is a jack?

a)

1/13

b)

1/4

c)

3/16

d)

1/10

115.

There are 3 red marbles, 4 blue marbles, 2 green marbles, and 6 clear marbles in a burlap bag. One marble is randomly pulled from the bag. What is the probability the marble was green?

a)

1/2

b)

1/7

c)

2/15

d)

2/17

116.

Sarah, Sammie, Victor, Vicki, and Valerie are in math group. Two students are randomly picked to be the co-leaders. What is the probability that the students picked were Sammie and Victor?

a)

1/25

b)

2/5

c)

1/5

d)

1/20

117.

Probability can be written as ...

a)

a fraction

b)

a decimal

c)

a percent

d)

all of the above

118.

A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?

a)

5/6

b)

1/2

c)

1/3

d)

1/6

119.

An unlikely chance event is closer to what number?

a)

0

b)

1

c)

2

d)

3

120.

Find the probability of each set of independent events.

rolling a six on the first roll of a 1-6 number cube and rolling an odd number on the second roll of the same cube.

a)

1/12

b)

1/6

c)

1/8

d)

1/2

121.

Find the probability of each set of independent events.

flipping a tail on a coin and spinning a 5 on a spinner with sections of equal area numbered 1-5.

a)

1/2

b)

1/7

c)

1/5

d)

1/10

122.

A standard die is rolled twice. Find each probability.

P (prime, then 6)

a)

1/2

b)

2/3

c)

1/9

d)

1/12

123.

If you choose from the following M & M colors, what is the probability that you choose blue?
5 green
6 yellow
8 blue
7 brown

a)

8/26

b)

4/13

c)

8/25

d)

1/3

124.

A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll?

a)

2/3

b)

5/36

c)

1/9

d)

1/36

125.

What is the probability of spinning red?

a)

0

b)

5/12

c)

1/2

d)

3/4

126.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?

a)

2/7

b)

5/49

c)

5/7

d)

10/49

127.

You flip a nickel three times.
Find the probability that all flips will land on tails.

a)

1/2

b)

1/4

c)

1/6

d)

1/8

128.

Probability can be between what two numbers?

a)

10 and 20

b)

0 and 100

c)

0 and 1

d)

All Numbers are possible

129.

The probability of it raining today is 30%. What is the probability that it will NOT rain?

a)

30%

b)

70%

c)

100%

d)

0%

130.

Based on the chart, what is the experimental probability of pulling a green marble?

a)

1/8

b)

8/25

c)

8/100

d)

7/8

Questions: Indices, Fraction, Inequalities, and Probability

Total questions: 130

Worksheet time: 4hrs 25mins

Similar Resources on Wayground