BODMAS Calculation Examples With Answers

📅 2025-09-05 ⏱ 8 min read

10 BODMAS calculation examples with step-by-step answers. Download printable PDF worksheets or follow interactive calculation steps.

10 BODMAS Examples With Step-by-Step Answers

These 10 BODMAS calculation examples progress from simple to complex. Each example includes the full step-by-step solution using the BODMAS rule. Download or print the full question and solution paper below, or test any of these problems directly on our BODMAS calculator.

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10 Worked BODMAS Calculation Examples

Download or print ready-to-use math test papers. Available as blank question sheets with student workspace lines, or complete teacher answer keys with step-by-step solutions.

Questions: 10 Problems Grade Level: All Grades Exam Time: 30 Minutes Total Score: 20 Marks

BODMAS MATHEMATICS TEST SERIES

10 Worked BODMAS Calculation Examples

Student Name: ___________________________________ Date: _________________

Grade / Class: All Grades Time Allowed: 30 Minutes Maximum Marks: 20 Marks

General Instructions:

Answer all questions following the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction).
Show all step-by-step working in the workspace provided to earn full method marks.
Write your final answer clearly in the answer box.

Q1. 5 + 3 × 2 = ? [2 Marks]

Workspace / Working:

Answer:

Step-by-Step Solution:

Multiply: 3 × 2 = 6, Add: 5 + 6 = 11

Final Answer: 11

Q2. 20 − 12 ÷ 4 = ? [2 Marks]

Workspace / Working:

Answer:

Step-by-Step Solution:

Divide: 12 ÷ 4 = 3, Subtract: 20 − 3 = 17

Final Answer: 17

Q3. (7 + 3) × 2 = ? [2 Marks]

Workspace / Working:

Answer:

Step-by-Step Solution:

Brackets: (7 + 3) = 10, Multiply: 10 × 2 = 20

Final Answer: 20

Q4. 3² + 4 × 2 = ? [2 Marks]

Workspace / Working:

Answer:

Step-by-Step Solution:

Orders: 3² = 9, Multiply: 4 × 2 = 8, Add: 9 + 8 = 17

Final Answer: 17

Q5. 24 ÷ 6 × 2 = ? [2 Marks]

Workspace / Working:

Answer:

Step-by-Step Solution:

Left to right: 24 ÷ 6 = 4, Multiply: 4 × 2 = 8

Final Answer: 8

Q6. (2 + 3)² − 5 = ? [2 Marks]

Workspace / Working:

Answer:

Step-by-Step Solution:

Brackets: 2 + 3 = 5, Orders: 5² = 25, Subtract: 25 − 5 = 20

Final Answer: 20

Q7. 15 − 2 × 3 + 8 ÷ 4 = ? [2 Marks]

Workspace / Working:

Answer:

Step-by-Step Solution:

Multiply/Divide: 2 × 3 = 6, 8 ÷ 4 = 2, Operations: 15 − 6 + 2 = 11

Final Answer: 11

Q8. 2 × [10 − (3 + 2)] = ? [2 Marks]

Workspace / Working:

Answer:

Step-by-Step Solution:

Inner: 3 + 2 = 5, Outer: 10 − 5 = 5, Multiply: 2 × 5 = 10

Final Answer: 10

Q9. 4² + (6 × 3) − 20 ÷ 5 = ? [2 Marks]

Workspace / Working:

Answer:

Step-by-Step Solution:

Orders: 4² = 16, Brackets: 6 × 3 = 18, Divide: 20 ÷ 5 = 4, Operations: 16 + 18 − 4 = 30

Final Answer: 30

Q10. 12 × 3 + (4 − 2) − 4² + 18 ÷ 3 = ? [2 Marks]

Workspace / Working:

Answer:

Step-by-Step Solution:

Brackets: 4 − 2 = 2, Orders: 4² = 16, Multiply/Divide: 12 × 3 = 36, 18 ÷ 3 = 6, Operations: 36 + 2 − 16 + 6 = 28

Final Answer: 28

⚡ Interactive Visual Tool

Step-by-Step Calculation Walkthrough

Click "Next Step" to watch the BODMAS rule resolve operations in order of mathematical precedence.

Try Examples:

Current Expression State: Initial Expression

Rule: Ready

Click "Next Step ▶" to start solving using BODMAS order of precedence.

Step Breakdown Summary

Example 1: Addition and Multiplication

Solve: 5 + 3 × 2

Step 1 — Multiplication: 3 × 2 = 6

Step 2 — Addition: 5 + 6 = 11

5 + 3 × 2 = 11

Example 2: Subtraction and Division

Solve: 20 − 12 ÷ 4

Step 1 — Division: 12 ÷ 4 = 3

Step 2 — Subtraction: 20 − 3 = 17

20 − 12 ÷ 4 = 17

Example 3: Brackets First

Solve: (7 + 3) × 2

Step 1 — Brackets: (7 + 3) = 10

Step 2 — Multiplication: 10 × 2 = 20

(7 + 3) × 2 = 20

Example 4: Orders (Exponents)

Solve: 3² + 4 × 2

Step 1 — Orders: 3² = 9

Step 2 — Multiplication: 4 × 2 = 8

Step 3 — Addition: 9 + 8 = 17

3² + 4 × 2 = 17

Example 5: Division and Multiplication (Left to Right)

Solve: 24 ÷ 6 × 2

Step 1 — Division (left to right): 24 ÷ 6 = 4

Step 2 — Multiplication: 4 × 2 = 8

24 ÷ 6 × 2 = 8

Example 6: Brackets with Exponents

Solve: (2 + 3)² − 5

Step 1 — Brackets: (2 + 3) = 5

Step 2 — Orders: 5² = 25

Step 3 — Subtraction: 25 − 5 = 20

(2 + 3)² − 5 = 20

Example 7: Mixed Operations

Solve: 15 − 2 × 3 + 8 ÷ 4

Step 1 — Multiplication: 2 × 3 = 6

Step 2 — Division: 8 ÷ 4 = 2

Step 3 — Subtraction then Addition: 15 − 6 = 9, then 9 + 2 = 11

15 − 2 × 3 + 8 ÷ 4 = 11

Example 8: Nested Brackets

Solve: 2 × [10 − (3 + 2)]

Step 1 — Inner Brackets: (3 + 2) = 5

Step 2 — Outer Brackets: [10 − 5] = 5

Step 3 — Multiplication: 2 × 5 = 10

2 × [10 − (3 + 2)] = 10

Example 9: Complex Expression

Solve: 4² + (6 × 3) − 20 ÷ 5

Step 1 — Brackets: (6 × 3) = 18

Step 2 — Orders: 4² = 16

Step 3 — Division: 20 ÷ 5 = 4

Step 4 — Addition then Subtraction: 16 + 18 = 34, then 34 − 4 = 30

4² + (6 × 3) − 20 ÷ 5 = 30

Example 10: Full BODMAS

Solve: 12 × 3 + (4 − 2) − 4² + 18 ÷ 3

Step 1 — Brackets: (4 − 2) = 2

Step 2 — Orders: 4² = 16

Step 3 — Multiplication & Division: 12 × 3 = 36, 18 ÷ 3 = 6

Step 4 — Addition & Subtraction: 36 + 2 = 38, 38 − 16 = 22, 22 + 6 = 28

12 × 3 + (4 − 2) − 4² + 18 ÷ 3 = 28

Summary: All 10 Answers

#	Expression	Answer
1	5 + 3 × 2	11
2	20 − 12 ÷ 4	17
3	(7 + 3) × 2	20
4	3² + 4 × 2	17
5	24 ÷ 6 × 2	8
6	(2 + 3)² − 5	20
7	15 − 2 × 3 + 8 ÷ 4	11
8	2 × [10 − (3 + 2)]	10
9	4² + (6 × 3) − 20 ÷ 5	30
10	12 × 3 + (4 − 2) − 4² + 18 ÷ 3	28