Master Number Properties and Operations: 1.1 Number Quiz

Question 1

If a number is divisible by both 4 and 6, it is also divisible by:

Accepted Answer

12

Answer

2

Answer

3

Answer

24

Question 2

Simplify the following fraction to its lowest terms: 12/18

Accepted Answer

2/3

Answer

3/2

Answer

4/6

Answer

6/4

Question 3

What is the correct order of mathematical operations?

Accepted Answer

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Answer

Exponents, Parentheses, Multiplication, Division, Addition, Subtraction

Answer

Multiplication, Division, Exponents, Parentheses, Addition, Subtraction

Answer

Addition, Subtraction, Multiplication, Division, Exponents, Parentheses

Question 4

Convert the percentage 75% to its equivalent decimal form.

Accepted Answer

0.75

Answer

0.075

Answer

7.5

Answer

75

Question 5

Solve for x in the proportion: x/5 = 3/10

Accepted Answer

1.5

Answer

3

Answer

6

Answer

10

Question 6

Calculate the value of 3(-4) + 2.

Accepted Answer

-14

Answer

-10

Answer

-4

Answer

10

Question 7

Which statement accurately describes real numbers?

Accepted Answer

Encompassing both rational and irrational numbers

Answer

Exclusively rational numbers

Answer

Exclusively irrational numbers

Answer

Solely integers

Question 8

Evaluate: (-0.5)^2

Accepted Answer

0.25

Answer

0.5

Answer

1

Answer

-1

Question 9

Identify a property that does not apply to real numbers.

Accepted Answer

Closure under subtraction

Answer

Closure under addition

Answer

Closure under multiplication

Answer

Commutative property of addition

Question 10

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

Accepted Answer

They are not closed under multiplication.

Answer

They are unbounded.

Answer

They are dense.

Answer

They are ordered.

Question 11

Which operation is commutative and associative?

Accepted Answer

Addition

Answer

Subtraction

Answer

Division

Answer

Multiplication

Question 12

Identify the perfect square:

Accepted Answer

16

Answer

10

Answer

15

Answer

12

Question 13

Which of the following is a factor of 24?

Accepted Answer

6

Answer

5

Answer

9

Answer

7

Question 14

Find the square root of 81.

Accepted Answer

9

Answer

18

Answer

3

Answer

27

Question 15

Identify the irrational number:

Accepted Answer

π

Answer

√4

Answer

0

Answer

1/2

Question 16

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

Accepted Answer

Discrete

Answer

Ordered

Answer

Dense

Answer

Complete

Question 17

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

Accepted Answer

-5

Answer

5

Answer

-1

Question 18

Express the following percentage as a decimal: 25%

Accepted Answer

0.25

Answer

0.025

Answer

0.5

Answer

2.5

Question 19

Find the least common multiple (LCM) of 6 and 8

Accepted Answer

24

Answer

16

Answer

12

Question 20

Which of the following is NOT a rational number?

Accepted Answer

√2

Answer

0.5

Answer

-3

Question 21

A company's net profit decreases by 25% one year, then increases by 30% the following year. What is the overall percentage change in profit over the two years?

Accepted Answer

A net increase of 2.5%

Answer

No net change

Answer

A net decrease of 5%

Answer

A net increase of 5%

Question 22

Which of the following numbers is irrational?

Accepted Answer

√2

Answer

-5

Answer

0.125

Answer

3/4

Question 23

A business loan of £5000 is taken out with an annual interest rate of 3.5%. Calculate the simple interest due after 2 years.

Accepted Answer

£350

Answer

£175

Answer

£700

Question 24

What is the result of the following calculation: (-5) + 7 - 3 x 2?

Accepted Answer

-4

Answer

-6

Answer

0

Answer

4

Question 25

A company's quarterly profits are recorded as follows: £12,000, £15,500, £11,800, £16,700.  Calculate the mean quarterly profit.

Accepted Answer

£14,000

Answer

£13,500

Answer

£15,000

Answer

£14,500

Question 26

Which of these fractions is equivalent to 3/5?

Accepted Answer

9/15

Answer

12/25

Answer

6/15

Answer

10/12

Question 27

A product's price increases by 15%, then decreases by 10%. What is the overall percentage change in price?

Accepted Answer

A net increase of 3.5%

Answer

A net decrease of 5%

Answer

A net increase of 5%

Answer

No net change

Question 28

What is the solution to the equation: 2x - 5 = 11?

Accepted Answer

x = 8

Answer

x = -3

Answer

x = -8

Answer

x = 3

Question 29

A dataset has a range of 20 and a smallest value of 5. What is the largest value in the dataset?

Accepted Answer

25

Answer

20

Answer

30

Answer

15

Question 30

If the ratio of male to female employees in a company is 3:5, and there are 45 female employees, how many male employees are there?

Accepted Answer

27

Answer

75

Answer

15

Answer

36