BODMAS Practice Questions With Answers
30 BODMAS practice questions with full step-by-step answers, interactive self-check quizzes, and printable PDF exam question papers.
30 BODMAS Practice Questions
These 30 BODMAS practice questions are grouped into 4 difficulty levels. Every question includes the complete step-by-step solution following the BODMAS rule. Download or print the full question sheet or answer key below, or solve custom questions using our BODMAS calculator.
📄 Official Printable Test Papers
Comprehensive 30-Problem BODMAS Practice Paper
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.
BODMAS MATHEMATICS TEST SERIES
Comprehensive 30-Problem BODMAS Practice Paper
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. 7 + 2 × 3 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Multiply: 2 × 3 = 6, Add: 7 + 6 = 13
Final Answer: 13
Q2. 18 − 8 ÷ 2 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Divide: 8 ÷ 2 = 4, Subtract: 18 − 4 = 14
Final Answer: 14
Q3. (4 + 6) × 3 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: (4 + 6) = 10, Multiply: 10 × 3 = 30
Final Answer: 30
Q4. 5 × 4 − 3 × 2 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Multiply: 5 × 4 = 20 and 3 × 2 = 6, Subtract: 20 − 6 = 14
Final Answer: 14
Q5. 20 ÷ 5 + 3 × 4 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Divide: 20 ÷ 5 = 4, Multiply: 3 × 4 = 12, Add: 4 + 12 = 16
Final Answer: 16
Q6. 12 + 6 ÷ 3 − 4 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Division first: 6 ÷ 3 = 2, then 12 + 2 − 4 = 10
Final Answer: 10
Q7. (15 − 7) × (2 + 3) = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: (15 − 7) = 8 and (2 + 3) = 5, Multiply: 8 × 5 = 40
Final Answer: 40
Q8. 24 ÷ 4 × 2 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Left-to-right rule: 24 ÷ 4 = 6, Multiply: 6 × 2 = 12
Final Answer: 12
Q9. (9 − 3) × 2 + 4² = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: (9 − 3) = 6, Orders: 4² = 16, Multiply: 6 × 2 = 12, Add: 12 + 16 = 28
Final Answer: 28
Q10. 3² + 5 × (10 − 6) = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: (10 − 6) = 4, Orders: 3² = 9, Multiply: 5 × 4 = 20, Add: 9 + 20 = 29
Final Answer: 29
Q11. 24 ÷ 8 × 3 + 7 − 2 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Divide (left to right): 24 ÷ 8 = 3, Multiply: 3 × 3 = 9, then 9 + 7 − 2 = 14
Final Answer: 14
Q12. (15 − 5) ÷ 2 + 3 × 4 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: (15 − 5) = 10, Divide: 10 ÷ 2 = 5, Multiply: 3 × 4 = 12, Add: 5 + 12 = 17
Final Answer: 17
Q13. 2 × (3 + 7) − 4² ÷ 8 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: (3 + 7) = 10, Orders: 4² = 16, Multiply: 2 × 10 = 20, Divide: 16 ÷ 8 = 2, Subtract: 20 − 2 = 18
Final Answer: 18
Q14. 10 + 3 × (8 − 2) ÷ 2 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: (8 − 2) = 6, Multiply: 3 × 6 = 18, Divide: 18 ÷ 2 = 9, Add: 10 + 9 = 19
Final Answer: 19
Q15. √25 × 4 − 18 ÷ 3 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: √25 = 5, Multiply: 5 × 4 = 20, Divide: 18 ÷ 3 = 6, Subtract: 20 − 6 = 14
Final Answer: 14
Q16. (6 + 4)² ÷ 25 + 7 × 2 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: 6 + 4 = 10, Orders: 10² = 100, Divide: 100 ÷ 25 = 4, Multiply: 7 × 2 = 14, Add: 4 + 14 = 18
Final Answer: 18
Q17. (2 + 3)² × 2 − 6 × 7 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: (2 + 3) = 5, Orders: 5² = 25, Multiply: 25 × 2 = 50 and 6 × 7 = 42, Subtract: 50 − 42 = 8
Final Answer: 8
Q18. √36 × (8 − 3) + 2³ = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: (8 − 3) = 5, Orders: √36 = 6 and 2³ = 8, Multiply: 6 × 5 = 30, Add: 30 + 8 = 38
Final Answer: 38
Q19. 4 × [20 − (3 × 4 + 2)] = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Inner: 3 × 4 = 12, Inner brackets: (12 + 2) = 14, Outer: [20 − 14] = 6, Multiply: 4 × 6 = 24
Final Answer: 24
Q20. (−2)³ + 5 × 4 − 10 ÷ 2 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: (−2)³ = −8, Multiply: 5 × 4 = 20, Divide: 10 ÷ 2 = 5, then −8 + 20 − 5 = 7
Final Answer: 7
Q21. ½ × (4² + 12) − 3 × 2 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: 4² = 16, Brackets: (16 + 12) = 28, Multiply: ½ × 28 = 14 and 3 × 2 = 6, Subtract: 14 − 6 = 8
Final Answer: 8
Q22. 3² × (10 − 4) − √64 ÷ 2 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: 3² = 9, √64 = 8, Brackets: (10 − 4) = 6, Multiply: 9 × 6 = 54, Divide: 8 ÷ 2 = 4, Subtract: 54 − 4 = 50
Final Answer: 50
Q23. [3 × (4 + 6) − 10] ÷ 4 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Inner: 4 + 6 = 10, Multiply: 3 × 10 = 30, Outer: 30 − 10 = 20, Divide: 20 ÷ 4 = 5
Final Answer: 5
Q24. (8 − 2)² − 3 × (5 + 1) = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: 8 − 2 = 6, 5 + 1 = 6, Orders: 6² = 36, Multiply: 3 × 6 = 18, Subtract: 36 − 18 = 18
Final Answer: 18
Q25. 3 × [2 × (5 + 4) − 1] = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Innermost: 5 + 4 = 9, Multiply: 2 × 9 = 18, Outer: 18 − 1 = 17, Multiply: 3 × 17 = 51
Final Answer: 51
Q26. √(9 + 16) × 2² + 3³ ÷ 9 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: (9 + 16) = 25, Orders: √25 = 5, 2² = 4, 3³ = 27, Multiply: 5 × 4 = 20, Divide: 27 ÷ 9 = 3, Add: 20 + 3 = 23
Final Answer: 23
Q27. (3² − 2²) × (4² − 3²) + 1 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: 3² = 9, 2² = 4, 4² = 16, 3² = 9, Brackets: (9 − 4) = 5 and (16 − 9) = 7, Multiply: 5 × 7 = 35, Add: 35 + 1 = 36
Final Answer: 36
Q28. 2⁴ ÷ (2 × 2) + 3 × (5 − 2)² = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: 2⁴ = 16, Brackets: (2 × 2) = 4 and (5 − 2) = 3, Orders: 3² = 9, Divide: 16 ÷ 4 = 4, Multiply: 3 × 9 = 27, Add: 4 + 27 = 31
Final Answer: 31
Q29. (10 − 2 × 3)² + 8 ÷ 4 − 1 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Inner multiply: 2 × 3 = 6, Brackets: (10 − 6) = 4, Orders: 4² = 16, Divide: 8 ÷ 4 = 2, then 16 + 2 − 1 = 17
Final Answer: 17
Q30. [5² − (3² + 4²)] × 100 + 42 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders inside: 3² + 4² = 9 + 16 = 25, 5² = 25, Brackets: 25 − 25 = 0, Multiply: 0 × 100 = 0, Add: 0 + 42 = 42
Final Answer: 42
⚡ Interactive Visual Tool
Interactive Step-by-Step BODMAS Visualizer
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
Interactive Practice Questions
Solve each problem at your own pace! Type your answer into the box and click Check, or click 💡 Solution to reveal the complete mathematical progression.
Beginner Question 1
7 + 2 × 3 = ?
Your Answer:
Beginner Question 2
18 − 8 ÷ 2 = ?
Your Answer:
Beginner Question 3
(4 + 6) × 3 = ?
Your Answer:
Beginner Question 4
5 × 4 − 3 × 2 = ?
Your Answer:
Beginner Question 5
20 ÷ 5 + 3 × 4 = ?
Your Answer:
Beginner Question 6
12 + 6 ÷ 3 − 4 = ?
Your Answer:
Beginner Question 7
(15 − 7) × (2 + 3) = ?
Your Answer:
Beginner Question 8
24 ÷ 4 × 2 = ?
Your Answer:
Intermediate Question 9
(9 − 3) × 2 + 4² = ?
Your Answer:
Intermediate Question 10
3² + 5 × (10 − 6) = ?
Your Answer:
Intermediate Question 11
24 ÷ 8 × 3 + 7 − 2 = ?
Your Answer:
Intermediate Question 12
(15 − 5) ÷ 2 + 3 × 4 = ?
Your Answer:
Intermediate Question 13
2 × (3 + 7) − 4² ÷ 8 = ?
Your Answer:
Intermediate Question 14
10 + 3 × (8 − 2) ÷ 2 = ?
Your Answer:
Intermediate Question 15
√25 × 4 − 18 ÷ 3 = ?
Your Answer:
Intermediate Question 16
(6 + 4)² ÷ 25 + 7 × 2 = ?
Your Answer:
Advanced Question 17
(2 + 3)² × 2 − 6 × 7 = ?
Your Answer:
Advanced Question 18
√36 × (8 − 3) + 2³ = ?
Your Answer:
Advanced Question 19
4 × [20 − (3 × 4 + 2)] = ?
Your Answer:
Advanced Question 20
(−2)³ + 5 × 4 − 10 ÷ 2 = ?
Your Answer:
Advanced Question 21
½ × (4² + 12) − 3 × 2 = ?
Your Answer:
Advanced Question 22
3² × (10 − 4) − √64 ÷ 2 = ?
Your Answer:
Advanced Question 23
[3 × (4 + 6) − 10] ÷ 4 = ?
Your Answer:
Advanced Question 24
(8 − 2)² − 3 × (5 + 1) = ?
Your Answer:
Expert Question 25
3 × [2 × (5 + 4) − 1] = ?
Your Answer:
Expert Question 26
√(9 + 16) × 2² + 3³ ÷ 9 = ?
Your Answer:
Expert Question 27
(3² − 2²) × (4² − 3²) + 1 = ?
Your Answer:
Expert Question 28
2⁴ ÷ (2 × 2) + 3 × (5 − 2)² = ?
Your Answer:
Expert Question 29
(10 − 2 × 3)² + 8 ÷ 4 − 1 = ?
Your Answer:
Expert Question 30
[5² − (3² + 4²)] × 100 + 42 = ?
Your Answer:
Complete Answer Key
| # | Expression | Answer | Level |
|---|---|---|---|
| 1 | 7 + 2 × 3 | 13 | Beginner |
| 2 | 18 − 8 ÷ 2 | 14 | Beginner |
| 3 | (4 + 6) × 3 | 30 | Beginner |
| 4 | 5 × 4 − 3 × 2 | 14 | Beginner |
| 5 | 20 ÷ 5 + 3 × 4 | 16 | Beginner |
| 6 | 12 + 6 ÷ 3 − 4 | 10 | Beginner |
| 7 | (15 − 7) × (2 + 3) | 40 | Beginner |
| 8 | 24 ÷ 4 × 2 | 12 | Beginner |
| 9 | (9 − 3) × 2 + 4² | 28 | Intermediate |
| 10 | 3² + 5 × (10 − 6) | 29 | Intermediate |
| 11 | 24 ÷ 8 × 3 + 7 − 2 | 14 | Intermediate |
| 12 | (15 − 5) ÷ 2 + 3 × 4 | 17 | Intermediate |
| 13 | 2 × (3 + 7) − 4² ÷ 8 | 18 | Intermediate |
| 14 | 10 + 3 × (8 − 2) ÷ 2 | 19 | Intermediate |
| 15 | √25 × 4 − 18 ÷ 3 | 14 | Intermediate |
| 16 | (6 + 4)² ÷ 25 + 7 × 2 | 18 | Intermediate |
| 17 | (2 + 3)² × 2 − 6 × 7 | 8 | Advanced |
| 18 | √36 × (8 − 3) + 2³ | 38 | Advanced |
| 19 | 4 × [20 − (3 × 4 + 2)] | 24 | Advanced |
| 20 | (−2)³ + 5 × 4 − 10 ÷ 2 | 7 | Advanced |
| 21 | ½ × (4² + 12) − 3 × 2 | 8 | Advanced |
| 22 | 3² × (10 − 4) − √64 ÷ 2 | 50 | Advanced |
| 23 | [3 × (4 + 6) − 10] ÷ 4 | 5 | Advanced |
| 24 | (8 − 2)² − 3 × (5 + 1) | 18 | Advanced |
| 25 | 3 × [2 × (5 + 4) − 1] | 51 | Expert |
| 26 | √(9 + 16) × 2² + 3³ ÷ 9 | 23 | Expert |
| 27 | (3² − 2²) × (4² − 3²) + 1 | 36 | Expert |
| 28 | 2⁴ ÷ (2 × 2) + 3 × (5 − 2)² | 31 | Expert |
| 29 | (10 − 2 × 3)² + 8 ÷ 4 − 1 | 17 | Expert |
| 30 | [5² − (3² + 4²)] × 100 + 42 | 42 | Expert |