Master Number Concepts: Integers, Decimals, Percentages, and More

Question 1

Which of the following numbers is an integer?

Accepted Answer

-3

Answer

0.5

Answer

1/2

Answer

π

Question 2

Simplify the following expression: 2^3 x 2^5

Accepted Answer

2^8

Answer

4^8

Answer

2^2

Answer

4^2

Question 3

Which of the following is greater than 12%?

Accepted Answer

0.125

Answer

0.11

Answer

1/8

Answer

0.08

Question 4

Solve the following inequality: 3x - 5 > 10

Accepted Answer

x > 5

Answer

x < 5

Answer

x > -5

Answer

x < -5

Question 5

Round the following number to the nearest whole number: 456.789

Accepted Answer

457

Answer

456

Answer

460

Answer

450

Question 6

Which of the following is a rational number?

Accepted Answer

-5/3

Answer

√2

Answer

π

Answer

0.101001...

Question 7

Which of the following is NOT a common use of percentages in business?

Accepted Answer

Estimating project completion timeframes

Answer

Calculating discounts on products

Answer

Analyzing sales trends over time

Question 8

Which operation is undefined for some rational numbers?

Accepted Answer

Division

Answer

Addition

Answer

Subtraction

Answer

Multiplication

Question 9

Which of the following is not a property of rational numbers?

Accepted Answer

All rational numbers are greater than 1.

Answer

Rational numbers can be expressed as a fraction of two integers, where the denominator is not zero.

Answer

Rational numbers can be positive, negative, or zero.

Answer

The sum or product of two rational numbers is always a rational number.

Question 10

Which of the following is NOT a rational number?

Accepted Answer

√3

Answer

0.25

Answer

2/5

Answer

-0.6

Question 11

Which of the following is the largest integer?

Accepted Answer

1

Answer

-3

Answer

-1

Answer

0

Question 12

Which of the following inequalities represents the statement 'x is greater than or equal to 3'?

Accepted Answer

x ≥ 3

Answer

x > 3

Answer

x < 3

Answer

x ≤ 3

Question 13

Estimate the result of 0.036 multiplied by 0.052.

Accepted Answer

0.002

Answer

0.001

Answer

0.003

Answer

0.004

Question 14

Simplify the expression: 2³ × 2⁵

Accepted Answer

2¹⁰

Answer

2⁸

Answer

4⁸

Answer

4¹⁰

Question 15

Convert 36% to a decimal.

Accepted Answer

0.36

Answer

0.036

Answer

3.6

Answer

36

Question 16

Which of the following is the smallest positive integer?

Accepted Answer

1

Answer

0

Answer

-1

Answer

2

Question 17

Solve the inequality: 3x - 5 > 10

Accepted Answer

x > 15/3

Answer

x > 5

Answer

x < 5

Answer

x < 15/3

Question 18

Which of the following is a rational number?

Accepted Answer

1/3

Answer

√2

Answer

π

Answer

e

Question 19

Which of these numbers is a negative integer?

Accepted Answer

-5

Answer

0

Answer

10

Answer

2.5

Question 20

Simplify the mathematical expression: 25 + 15 - 10 ÷ 5

Accepted Answer

35

Answer

27

Answer

37

Answer

40

Question 21

Transform the given percentage into a decimal: 75%

Accepted Answer

0.75

Answer

0.075

Answer

750

Answer

7.5

Question 22

Express the number 0.0000045 in scientific (standard) notation

Accepted Answer

4.5 ×10^(-5)

Answer

4.5 ×10^(-3)

Answer

4.5 ×10^(-6)

Answer

4.5 ×10^(-8)

Question 23

Solve the linear inequality: 3x - 5 > 10

Accepted Answer

x > 5

Answer

x < 5

Answer

x > 15

Answer

x < 15

Question 24

Estimate the product of 789 and 56

Accepted Answer

45000

Answer

44000

Answer

54000

Answer

55000

Question 25

Which of the following is an irrational number?

Accepted Answer

π

Answer

1/2

Answer

-3

Answer

0.5

Question 26

Which of the following is NOT a common use of percentages in business?

Accepted Answer

Assessing employee morale

Answer

Calculating profit margins

Answer

Determining taxes

Answer

Comparing financial results

Question 27

Convert 3/8 to a decimal.

Accepted Answer

0.375

Answer

0.3

Answer

0.4

Answer

0.45

Question 28

Which percentage is equivalent to 0.6?

Accepted Answer

60%

Answer

50%

Answer

70%

Answer

80%

Question 29

Solve inequality: 2x + 5 < 15

Accepted Answer

x < 5

Answer

x < 10

Answer

x > 5

Answer

x > 10

Question 30

Round 234 to the nearest ten.

Accepted Answer

230

Answer

220

Answer

240

Answer

250

Question 31

Find the square root of 144.

Accepted Answer

8

Answer

10

Answer

12

Answer

14

Question 32

Express 0.000023 in standard form.

Accepted Answer

2.3 × 10^(-5)

Answer

2.3 × 10^(-6)

Answer

2.3 × 10^(5)

Answer

2.3 × 10^(6)

Question 33

Calculate 3^3.

Accepted Answer

27

Answer

9

Answer

729

Answer

2187

Question 34

Convert 36% to a decimal.

Accepted Answer

0.36

Answer

0.036

Answer

3.6

Answer

36.0

Question 35

Convert the decimal 0.75 to a fraction in its simplest form.

Accepted Answer

3/4

Answer

2/3

Answer

1/2

Answer

1/4

Question 36

Convert the percentage 75% to a fraction in its simplest form.

Accepted Answer

3/4

Answer

2/3

Answer

1/4

Answer

1/2

Question 37

Factorize the following expression: x² - 4x + 4

Accepted Answer

(x - 2)²

Answer

(x + 2)²

Answer

x² - 4

Answer

x² + 4x + 4

Question 38

Which of the following numbers is the smallest?

Accepted Answer

-5

Answer

0

Answer

-2

Answer

3

Question 39

Which of the following numbers is irrational?

Accepted Answer

√2

Answer

-3/7

Answer

12.34

Answer

0.125

Question 40

Identify which of the following numbers is a composite number, which has factors other than 1 and itself.

Accepted Answer

24

Answer

11

Answer

7

Answer

13

Question 41

What is the set of all integers greater than -5?

Accepted Answer

{ -4, -3, -2, -1, 0, 1, 2, 3, ... }

Answer

{ -5, -4, -3, -2, -1, 0, 1, 2, 3, 4 }

Answer

{ -4, -3, -2, -1, 0, 1, 2, 3 }

Answer

{ ... , -4, -3, -2, -1, 0, 1, 2, 3, 4 }

Question 42

Simplify the algebraic expression: 2x - 3y + 5x + 2y

Accepted Answer

7x - y

Answer

7x + y

Answer

5x - y

Answer

5x + y

Question 43

What is 10% expressed as a decimal?

Accepted Answer

0.1

Answer

10

Answer

0.01

Answer

100

Question 44

Write the number 5.4321 x 10^5 in standard form.

Accepted Answer

543210

Answer

0.0054321

Answer

5.4321 x 10^5

Answer

5432.1

Question 45

Solve for x in the inequality: 3x - 5 < 10

Accepted Answer

x < 5

Answer

x < -5

Answer

x > 5

Answer

x > -5

Question 46

Round the number 23456 to the nearest thousand.

Accepted Answer

23000

Answer

24000

Answer

20000

Answer

23400

Question 47

Estimate the product of 27 and 19 by rounding each number to the nearest ten.

Accepted Answer

500

Answer

600

Answer

400

Answer

700

Question 48

Which of the following numbers is a prime number?

Accepted Answer

13

Answer

12

Answer

14

Answer

15

Question 49

What is the square root of 144?

Accepted Answer

12

Answer

288

Answer

18

Answer

6

Question 50

Evaluate the expression: (2^3)^2

Accepted Answer

64

Answer

16

Answer

128

Answer

8