Number: Properties, Operations, and Applications for Year 8 Maths

Question 1

Determine if the number 1,254 is divisible by 9. Explain your reasoning.

Accepted Answer

Yes, the sum of digits is divisible by 9.

Answer

No, the last digit is not 0 or 5.

Answer

Yes, the number is even.

Question 2

Find the value of two to the power of negative three.

Accepted Answer

1/8

Answer

8

Answer

-8

Question 3

Which property of integers is demonstrated when the difference between two integers is always an integer?

Accepted Answer

Closure under subtraction

Answer

Ordering from greatest to least

Answer

Positive, negative, or zero values

Answer

Closure under multiplication

Question 4

Which property does NOT apply to integers?

Accepted Answer

Division of two integers may not result in an integer.

Answer

Integers are whole numbers.

Answer

The sum of two integers is an integer.

Answer

Multiplication of two integers results in an integer.

Question 5

Which of the following is an integer?

Accepted Answer

-7

Answer

0.5

Answer

1/2

Answer

1.25

Question 6

Find the value of 3 + (-5):

Accepted Answer

-2

Answer

-8

Answer

2

Answer

8

Question 7

Which of the following fractions is equivalent to 0.75?

Accepted Answer

3/4

Answer

1/4

Answer

1/2

Answer

1/3

Question 8

Multiply 0.2 by 0.5:

Accepted Answer

0.04

Answer

0.10

Answer

1.00

Answer

0.01

Question 9

Which of the following is the largest number?

Accepted Answer

0.801

Answer

0.8

Answer

0.8001

Answer

0.799

Question 10

Find the least common multiple (LCM) of 6 and 9:

Accepted Answer

18

Answer

3

Answer

6

Answer

9

Question 11

Find the area of a rectangle with a length of 5 cm and a width of 3 cm:

Accepted Answer

15 cm²

Answer

8 cm²

Answer

25 cm²

Answer

30 cm²

Question 12

Convert the fraction 3/8 to a decimal.

Accepted Answer

0.375

Answer

0.625

Answer

0.75

Answer

1.25

Question 13

What is the value of 25% as a fraction?

Accepted Answer

1/4

Answer

1/5

Answer

1/2

Answer

3/4

Question 14

What is the value of 2^4?

Accepted Answer

64

Answer

8

Answer

16

Answer

32

Question 15

Which number is an integer?

Accepted Answer

-2

Answer

0.5

Answer

3/4

Answer

5.1

Question 16

Find the value of 2/3 + 1/4.

Accepted Answer

17/12

Answer

5/7

Answer

11/12

Answer

7/12

Question 17

Which of these is equal to 0.75?

Accepted Answer

3/4

Answer

1/2

Answer

5/8

Answer

2/5

Question 18

Calculate 15% of 60.

Accepted Answer

9

Answer

7.5

Answer

10.5

Answer

12

Question 19

Which operation has the highest priority in mathematics?

Accepted Answer

Multiplication

Answer

Division

Answer

Addition

Answer

Subtraction

Question 20

Which number is prime?

Accepted Answer

11

Answer

4

Answer

6

Answer

15

Question 21

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

Accepted Answer

6

Answer

2

Answer

3

Answer

9

Question 22

What is the least common multiple (LCM) of 4 and 6?

Accepted Answer

12

Answer

8

Answer

16

Answer

24

Question 23

Order the following decimals from least to greatest: 0.5, 0.75, 0.8, 0.9

Accepted Answer

0.5, 0.75, 0.8, 0.9

Answer

0.75, 0.5, 0.8, 0.9

Answer

0.5, 0.8, 0.75, 0.9

Answer

0.75, 0.8, 0.5, 0.9

Question 24

Evaluate 3^3.

Accepted Answer

27

Answer

9

Answer

18

Answer

36

Question 25

Which of the following decimal numbers is the greatest?

Accepted Answer

12.5

Answer

12

Answer

1.25

Answer

0.125

Question 26

Simplify the following fraction to its lowest terms: 12/24

Accepted Answer

1/2

Answer

2/3

Answer

3/4

Answer

4/5

Question 27

Which of the following is considered an integer?

Accepted Answer

0

Answer

-5.2

Answer

1/2

Answer

√2

Question 28

Find the result of adding 12 and -8

Accepted Answer

4

Answer

8

Answer

12

Answer

20

Question 29

Which of the following is equivalent to 25%?

Accepted Answer

0.25

Answer

0.025

Answer

2.5

Answer

25

Question 30

Simplify the algebraic expression: 2x + 3x

Accepted Answer

5x

Answer

x

Answer

5

Answer

1

Question 31

Calculate the product of 3 and -4.

Accepted Answer

-12

Answer

7

Answer

-7

Answer

12

Question 32

Calculate the average (mean) of the following numbers: 5, 7, 9, 11

Accepted Answer

8

Answer

7

Answer

9

Answer

11

Question 33

What is 20% of 120?

Accepted Answer

24

Answer

2

Answer

20

Answer

12

Question 34

Simplify the algebraic expression: 2(x + 3)

Accepted Answer

2x + 6

Answer

2x + 3

Answer

x + 6

Answer

x + 3

Question 35

Which property is unique to the set of integers?

Accepted Answer

Each integer has a matching integer that, when added, gives zero.

Answer

They can be added to get a new integer.

Answer

They can be multiplied to get a new integer.

Answer

They can be added in any order and get the same answer.

Question 36

Convert 0.75 to a **fraction**.

Accepted Answer

3/4

Answer

1/4

Answer

1/2

Answer

1

Question 37

Simplify the following expression: (2x)^2 - (x + 1)^2

Accepted Answer

x^2 - 1

Answer

x^2 + 1

Answer

2x^2 - 1

Answer

2x^2 + 1

Question 38

Find the decimal equivalent of 1/2

Accepted Answer

0.5

Answer

0.2

Answer

0.75

Answer

1.0

Question 39

Arrange the following numbers in ascending order: -5, 0, 3, -2, 1

Accepted Answer

-5, -2, 0, 1, 3

Answer

-2, -5, 0, 1, 3

Answer

0, -2, -5, 1, 3

Answer

1, -5, -2, 0, 3

Question 40

Find the greatest common divisor (GCD) of 12 and 18

Accepted Answer

3

Answer

2

Answer

6

Answer

12

Question 41

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

Accepted Answer

x + 5y

Answer

3x + y

Answer

x + y

Answer

2x - y

Question 42

Solve the equation: 3(x - 1) = 12

Accepted Answer

x = 4

Answer

x = 3

Answer

x = 5

Answer

x = 6

Question 43

What characteristic sets the set of integers apart from other number sets?

Accepted Answer

Integers include both positive and negative numbers, along with zero.

Answer

Integers are closed under addition.

Answer

Integers are ordered, meaning they have a defined sequence.

Question 44

Which of the following properties is unique to integers?

Accepted Answer

Integers have both additive and multiplicative inverses.

Answer

Integers are closed under the operations of addition and subtraction.

Answer

Integers have an additive identity of 0.

Answer

Integers are closed under the operation of multiplication.

Question 45

Which property of integers ensures that the sum of any two integers is always an integer?

Accepted Answer

Closure under addition

Answer

Commutativity

Answer

Associativity

Answer

Distributivity

Question 46

Calculate: (-3) + 5

Accepted Answer

2

Answer

-8

Answer

8

Answer

-2

Question 47

What decimal is equal to the fraction 3/5?

Accepted Answer

0.6

Answer

0.5

Answer

0.7

Answer

0.8

Question 48

Which percentage is equivalent to the fraction 1/4?

Accepted Answer

25%

Answer

10%

Answer

50%

Answer

75%

Question 49

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

Accepted Answer

0

Answer

10x

Answer

-x

Answer

5x

Question 50

Arrange the numbers in order from smallest to largest: -1.5, 0, 0.5, 1

Accepted Answer

-1.5, 0, 0.5, 1

Answer

0, -1.5, 0.5, 1

Answer

0.5, -1.5, 0, 1

Answer

1, -1.5, 0, 0.5

Question 51

A rectangular garden has a length of 5 meters and a width of 3 meters. What is its perimeter?

Accepted Answer

24 m

Answer

8 m

Answer

16 m

Answer

30 m

Question 52

Which of the following is equivalent to 0.75 as a fraction?

Accepted Answer

3/4

Answer

1/3

Answer

2/5

Answer

3/5

Question 53

Which of the following is the greatest number?

Accepted Answer

0.99

Answer

0.98

Answer

0.89

Answer

0.9

Question 54

Express 2/3 as a percentage.

Accepted Answer

66.67%

Answer

50%

Answer

75%

Question 55

Calculate (2 + 3) ^ 2.

Accepted Answer

25

Answer

10

Answer

35

Answer

15

Question 56

Find the prime factors of 36.

Accepted Answer

2 x 2 x 3 x 3

Answer

3 x 4 x 6

Answer

1 x 6 x 6

Answer

2 x 4 x 9

Question 57

Calculate 25% of £20.

Accepted Answer

£5

Answer

£15

Answer

£10

Answer

£25

Question 58

Which of the following numbers is the smallest?

Accepted Answer

-10

Answer

0

Answer

-5

Question 59

Find the percentage of 20 that is 5.

Accepted Answer

25%

Answer

50%

Answer

75%

Question 60

Calculate 24 + (-15).

Accepted Answer

9

Answer

-9

Answer

-39

Question 61

Multiply 3/4 by 2/5.

Accepted Answer

3/10

Answer

6/10

Answer

10/3

Question 62

Divide 18 by 6 and express the answer as a percentage.

Accepted Answer

33.3%

Answer

20%

Answer

100%

Question 63

Which of the following is a prime number?

Accepted Answer

13

Answer

9

Answer

6

Question 64

Which of the following is not a prime factor of 12?

Accepted Answer

7

Answer

4

Answer

2

Answer

3