BODMAS Rule Questions with Solutions

Question 1: Simplify the expression: 4 + 2 × (3 – 1).

Solution:

4 + 2 × (3 – 1) = 4 + 2 × 2 = 4 + 4 = 8.

Question 2: Calculate: 12 ÷ 2 × 3 – 5.

Solution:

12 ÷ 2 × 3 – 5 = 6 × 3 – 5 = 18 – 5 = 13.

Question 3: Find the value of: 5 + (7 – 2) × 4.

Solution:

5 + (7 – 2) × 4 = 5 + 5 × 4 = 5 + 20 = 25.

Question 4: Simplify: 6 × (2 + 3) – 4.

Solution:

6 × (2 + 3) – 4 = 6 × 5 – 4 = 30 – 4 = 26.

Question 5: Determine the result of: 10 – (3 × 2 + 4).

Solution:

10 – (3 × 2 + 4) = 10 – (6 + 4) = 10 – 10 = 0.

Question 6: Evaluate the expression: 3 × (4 – 2) + 7.

Solution:

3 × (4 – 2) + 7 = 3 × 2 + 7 = 6 + 7 = 13.

Question 7: Simplify: 8 + 2 × (5 – 3).

Solution:

8 + 2 × (5 – 3) = 8 + 2 × 2 = 8 + 4 = 12.

Question 8: Calculate: 15 ÷ (3 + 2) – 4.

Solution:

15 ÷ (3 + 2) – 4 = 15 ÷ 5 – 4 = 3 – 4 = -1.

Question 9: Find the value of: 6 – (2 × 3 + 1).

Solution:

6 – (2 × 3 + 1) = 6 – (6 + 1) = 6 – 7 = -1.

Question 10: Determine the result of: 20 ÷ (4 × 2) + 5.

Solution:

20 ÷ (4 × 2) + 5 = 20 ÷ 8 + 5 = 2.5 + 5 = 7.5.

Question 11: Evaluate the expression: (3 + 5) × (4 – 2)².

Solution:

(3 + 5) × (4 – 2)² = 8 × 2² = 8 × 4 = 32.

Question 12: Simplify: 2(3 + 7) – 5²÷ 5.

Solution:

2(3 + 7) – 5² ÷ 5 = 2(10) – 25 ÷ 5 = 20 – 5 = 15.

Question 13: Calculate: 12 × (4 + 3) ÷ 2 – 5³.

Solution:

12 × (4 + 3) ÷ 2 – 5³ = 12 × 7 ÷ 2 – 125 = 84 ÷ 2 – 125 = 42 – 125 = -83.

Question 14: Find the value of: 7 – 3(2² + 1) + 8.

Solution:

7 – 3(2² + 1) + 8 = 7 – 3(4 + 1) + 8 = 7 – 3(5) + 8 = 7 – 15 + 8 = 0.

Question 15: Determine the result of: (9 + 6) × (2 – 3) + 5².

Solution:

(9 + 6) × (2 – 3) + 5² = 15 × (-1) + 25 = -15 + 25 = 10.

Related Resources:

Addition of Fractions

Multiplication of Fractions

Subtraction of Fractions

Division of Fractions

Question 16: Evaluate the expression: .

Solution:

= 12 – 2 × 6²
= 12 – 2 × 36
= 12 – 72
= -60

Question 17: Simplify: 3²– 2(4 ÷ 2 + 1) × 5.

Solution:

3² – 2(2 + 1) × 5
= 9 – 2 × 3 × 5
= 9 – 30
= -21

Question 18: Calculate: .

Solution:

= 8 + 3 × 4
= 8 + 12
= 20

Question 19: Find the value of: (3 + 2)3 – 2(4 + 1) ÷ 5.

Solution:

(3 + 2)³ – 2 × 5 ÷ 5
= 5³ – 2 × 5 ÷ 5
= 125 – 10 ÷ 5
= 125 – 2
= 123

Question 20: Determine the result of: .

Solution:

= 4 × 5 + 3
= 20 + 3
= 23

Question 21: Evaluate the expression: .

Solution:

= 125 – 49
= 76.

Question 22: Simplify: .

Solution:

= -63 + 3.375
= -59.625.

Question 23: Calculate: .

Solution:

= 31.25.

Question 24: Find the value of: .

Solution:

= 83.53125.

Question 25: Determine the result of: .

Solution:

= 33.5

BODMAS stands for Brackets, Orders (i.e., powers and square roots), Division, Multiplication, Addition, and Subtraction. This rule defines the order in which arithmetic operations should be performed in a given expression to ensure accurate results.

In this article, we will explore a series of BODMAS Rule questions that range from basic to challenging. These questions will test your understanding of the order of operations and your ability to simplify mathematical expressions correctly.

Learn more about BODMAS Rule