Number: Properties, Operations, and Applications

Question 1

Which of the following is a prime number?

Accepted Answer

13

Answer

6

Answer

18

Answer

24

Question 2

Solve the equation: 2x + 5 = 13

Accepted Answer

x = 4

Answer

x = 3

Answer

x = 5

Answer

x = 6

Question 3

Find the percentage of 20 that is 5.

Accepted Answer

5%

Answer

1%

Answer

10%

Answer

25%

Question 4

Which of the following is an irrational number?

Accepted Answer

The square root of 5

Answer

0.12345

Answer

1.666 repeating

Answer

0.5

Question 5

Solve for x: 2(x - 3) = 8

Accepted Answer

x = 7

Answer

x = 1

Answer

x = 2

Answer

x = 8

Question 6

A train travels 150 miles in 3 hours. What is the average speed of the train?

Accepted Answer

75 mph

Answer

50 mph

Answer

100 mph

Answer

150 mph

Question 7

Which of the following is a property of the set of integers?

Accepted Answer

Closed under addition

Answer

Not closed under multiplication

Question 8

Find the lowest common multiple (LCM) of 12 and 18

Accepted Answer

36

Answer

6

Question 9

Which of the following is a rational number?

Accepted Answer

1/3

Answer

√2

Question 10

Which of the following numbers is the greatest?

Accepted Answer

0.70001

Answer

0.7

Answer

0.75

Answer

0.69999

Question 11

Find the product of -4 and -7.

Accepted Answer

-28

Answer

28

Answer

11

Answer

-11

Question 12

Which number is prime?

Accepted Answer

17

Answer

12

Answer

25

Answer

36

Question 13

Which set of numbers can be proven using mathematical induction?

Accepted Answer

Natural numbers

Answer

Real numbers

Answer

Rational numbers

Answer

Irrational numbers

Question 14

Which of the following best describes the historical development of number theory?

Accepted Answer

Episodic breakthroughs followed by periods of consolidation and refinement

Answer

A gradual accumulation of knowledge over time, without major breakthroughs

Answer

A linear progression of incremental discoveries

Answer

Distinct cycles of discovery and refinement

Question 15

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

Accepted Answer

0.5

Answer

π

Answer

√2

Question 16

Which of the following is a prime number? A prime number is a number greater than 1 that has no positive divisors other than 1 and itself

Accepted Answer

7

Answer

12

Answer

8

Answer

15

Question 17

Which of the following is an irrational number?
An irrational number is a number that cannot be expressed as a fraction of two integers

Accepted Answer

π

Answer

1

Answer

0

Question 18

Which of the following numbers is irrational?

Accepted Answer

√2

Answer

0

Answer

-5

Answer

1/3

Question 19

Which of the following numbers is a prime number?

Accepted Answer

17

Answer

9

Answer

15

Question 20

What is the square root of 144?

Accepted Answer

12

Answer

10

Answer

16

Answer

14

Question 21

Which of the following numbers can be expressed as a fraction where both the numerator and denominator are integers?

Accepted Answer

(3/4)

Answer

(√2)

Answer

(π)

Answer

(-∞)

Question 22

Which of these numbers cannot be written as a simple fraction?

Accepted Answer

√5

Answer

(0.75)

Answer

(1/3)

Answer

(-10)

Question 23

What is the prime factorization of 36?

Accepted Answer

2^2 x 3^2

Answer

6 x 6

Answer

2 x 3 x 6

Answer

3 x 4 x 6

Question 24

Which of these numbers cannot be written as a fraction?

Accepted Answer

√5

Answer

0.5

Answer

-12

Answer

0

Question 25

What is the smallest whole number?

Accepted Answer

1

Answer

2

Answer

-1

Answer

0

Question 26

Which of these numbers is NOT a factor of 24?

Accepted Answer

5

Answer

2

Answer

4

Answer

3

Question 27

What is the expanded form of (a + b)²?

Accepted Answer

a² + 2ab + b²

Answer

a² + b²

Answer

2a + 2b

Answer

a² - 2ab + b²

Question 28

Which of the following is a prime number?

Accepted Answer

7

Answer

9

Answer

12

Answer

15

Question 29

What is the average of the numbers 5, 8, 12, 15, and 20?

Accepted Answer

12

Answer

10

Answer

16

Answer

14

Question 30

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

Accepted Answer

They are non-terminating and non-recurring.

Answer

They are closed under the four basic operations.

Answer

They can be expressed as a/b, where a and b are integers and b ≠ 0.

Answer

They form a dense set on the number line.

Question 31

Which of the following is an irrational number?

Accepted Answer

π

Answer

0.5

Answer

√25

Question 32

Which of the following is equivalent to the expression 3x + 5?

Accepted Answer

5 + 3x

Answer

3(x + 5)

Answer

x(3 + 5)

Answer

5x + 3

Question 33

Which of the following is a prime number?

Accepted Answer

17

Answer

9

Answer

12

Question 34

Which of the following is a rational number?

Accepted Answer

-3/4

Answer

e

Answer

π

Answer

√2

Question 35

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

Accepted Answer

6

Answer

9

Answer

3

Answer

12

Question 36

Simplify the expression: 3(x-2) + 2(x+4)

Accepted Answer

5x + 2

Answer

6x - 2

Answer

2x + 20

Question 37

Which of the following is an integer?

Accepted Answer

-5

Answer

π/2

Answer

-2.7

Answer

√5

Question 38

Round the number 3.14159 to the nearest thousandth:

Accepted Answer

3.142

Answer

3.141

Answer

3.14

Answer

3.1416

Question 39

Find the value of x in the equation: 2x + 5 = 13

Accepted Answer

4

Answer

5

Answer

3

Answer

6

Question 40

Which of the following is an irrational number?

Accepted Answer

√3

Answer

-1

Answer

0.5

Answer

100

Question 41

Which of the following is the smallest prime number?

Accepted Answer

2

Answer

3

Answer

1

Answer

5

Question 42

Find the mode of the following set of data: 2, 4, 5, 5, 7, 8, 8

Accepted Answer

5, 8

Answer

4

Answer

2

Question 43

Which of the following is a rational number?

Accepted Answer

0.5

Answer

π

Answer

√2

Question 44

Which of the following is an integer?

Accepted Answer

-7

Answer

1/4

Answer

√3

Answer

0.25

Question 45

Which of the following is an irrational number?

Accepted Answer

√5

Answer

-10

Answer

0.6

Question 46

Which of the following operations is commutative?

Accepted Answer

Addition

Answer

Subtraction

Answer

Division

Answer

Multiplication

Question 47

Which of the following operations is associative?

Accepted Answer

Multiplication

Answer

Division

Answer

Subtraction

Answer

Exponentiation

Question 48

What is the value of 2³?

Accepted Answer

8

Answer

10

Answer

12

Answer

6

Question 49

What is the value of |-5|?

Accepted Answer

5

Answer

-5

Answer

0

Question 50

Which of the following is a factor of 12?

Accepted Answer

4

Answer

9

Answer

7

Answer

5

Question 51

Which of the following is a multiple of 7?

Accepted Answer

28

Answer

15

Answer

25

Answer

21

Question 52

What is the prime factorization of 24?

Accepted Answer

2³ x 3

Answer

2² x 3²

Answer

2 x 3 x 4

Answer

4 x 6