Number: Properties, Operations, and Types | Secondary School Mathematics

Question 1

Which property does NOT apply to rational numbers?

Accepted Answer

Always positive

Answer

Can be expressed as a fraction of two integers

Answer

Closed under addition and subtraction

Answer

Dense on the number line

Question 2

Which of the following is equivalent to **10^-3**?

Accepted Answer

0.001

Answer

1/10

Answer

0.01

Answer

1000

Question 3

Find the **greatest common factor (GCF)** of **12** and **18**

Accepted Answer

6

Answer

2

Answer

3

Answer

9

Question 4

Solve for x: 2x + 5 = 11

Accepted Answer

x = 3

Answer

x = 2

Answer

x = 4

Answer

x = 5

Question 5

What is the opposite of -12?

Accepted Answer

12

Answer

-12

Answer

0

Answer

24

Question 6

Which of the following is the largest integer?

Accepted Answer

5

Answer

-10

Answer

-5

Answer

0

Question 7

Which of the following is the most accurate distinction between rational and irrational numbers?

Accepted Answer

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot.

Answer

Rational numbers are always less than irrational numbers.

Answer

Rational numbers are always positive, while irrational numbers can be negative.

Answer

Rational numbers are always whole numbers, while irrational numbers are always decimals.

Question 8

Which of the following is a defining characteristic of irrational numbers?

Accepted Answer

They represent points on the number line that cannot be exactly plotted using a ruler and compass.

Answer

They can be written as a fraction of two whole numbers.

Answer

They are always larger than rational numbers.

Question 9

Which of the following is equivalent to the fraction 3/4?

Accepted Answer

0.75

Answer

0.5

Answer

0.8

Answer

0.9

Question 10

Which property is NOT characteristic of integers?

Accepted Answer

They have decimal parts.

Answer

They can be ordered from least to greatest.

Answer

They can be positive or negative.

Answer

They are whole numbers.

Question 11

Which of the following is an irrational number?

Accepted Answer

π

Answer

0.5

Answer

-100

Answer

2

Question 12

Which operation is NOT defined for irrational numbers?

Accepted Answer

Division by zero.

Answer

Multiplication

Answer

Subtraction

Answer

Addition

Question 13

Which of the following is a rational number, that is, it can be expressed as a fraction of two integers?

Accepted Answer

0.75

Answer

e

Answer

π

Answer

√2

Question 14

Which of the following is the smallest integer?

Accepted Answer

-7

Answer

-5

Answer

0

Answer

3

Question 15

Which of the following is an irrational number, meaning it cannot be expressed as a fraction of two integers?

Accepted Answer

√3

Answer

1/3

Answer

-4

Answer

0.5

Question 16

Which of the following numbers is divisible by both 2 and 5? (That means the number can be divided evenly by both 2 and 5 without leaving a remainder.)

Accepted Answer

120

Answer

115

Answer

130

Answer

125

Question 17

Which of the following numbers is the largest?

Accepted Answer

3.14159

Answer

3.15

Answer

3.14

Answer

3.1

Question 18

Identify the type of number: √2

Accepted Answer

Irrational number

Answer

Integer

Answer

Rational number

Answer

Natural number

Question 19

Which is a factor of 12?

Accepted Answer

3

Answer

7

Answer

11

Answer

10

Question 20

Identify the type of number: 0.5

Accepted Answer

Rational number

Answer

Integer

Answer

Irrational number

Answer

Natural number

Question 21

Which of these numbers is the smallest?

Accepted Answer

-1

Answer

1

Answer

2

Answer

0

Question 22

Which of these is NOT an irrational number?

Accepted Answer

√9

Answer

e

Answer

√2

Answer

π

Question 23

What is the value of 2³?

Accepted Answer

8

Answer

4

Answer

32

Answer

16

Question 24

What is the greatest common factor (GCF) of 12 and 18?

Accepted Answer

6

Answer

3

Answer

9

Answer

2

Question 25

What is the least common multiple (LCM) of 6 and 8?

Accepted Answer

24

Answer

18

Answer

12

Answer

36

Question 26

What is the value of *x* in the equation 2*x* + 5 = 13?

Accepted Answer

4

Answer

3

Answer

6

Answer

5