BODMAS Questions for Grade 10 Students
25 advanced BODMAS questions for Grade 10 students with exponents, nested brackets, fractions, and negative numbers. Download printable PDF question papers and practice interactively.
25 BODMAS Questions for Grade 10
These 25 advanced BODMAS questions are designed for Grade 10 students (ages 15–16). The questions include exponents, square roots, nested brackets, fractions, and negative integers. Use the download buttons below to save or print the test paper in PDF format, or check your solutions with our free BODMAS calculator.
📄 Official Printable Test Papers
Grade 10 Advanced BODMAS Examination 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
Grade 10 Advanced BODMAS Examination 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. 5² − 3 × 4 + 8 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: 5² = 25, Multiply: 3 × 4 = 12, then 25 − 12 + 8 = 21
Final Answer: 21
Q2. (7 + 3)² ÷ 5 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: (7 + 3) = 10, Orders: 10² = 100, Divide: 100 ÷ 5 = 20
Final Answer: 20
Q3. 2³ + 4² − 6 × 3 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: 2³ = 8, 4² = 16, Multiply: 6 × 3 = 18, then 8 + 16 − 18 = 6
Final Answer: 6
Q4. 36 ÷ (2 × 3)² = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: (2 × 3) = 6, Orders: 6² = 36, Divide: 36 ÷ 36 = 1
Final Answer: 1
Q5. √49 + 3² × 2 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: √49 = 7, 3² = 9, Multiply: 9 × 2 = 18, Add: 7 + 18 = 25
Final Answer: 25
Q6. 100 ÷ 5² + 4 × 3 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: 5² = 25, Divide: 100 ÷ 25 = 4, Multiply: 4 × 3 = 12, Add: 4 + 12 = 16
Final Answer: 16
Q7. (−3)² + 2 × (8 − 5) − 1 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: (8 − 5) = 3, Orders: (−3)² = 9, Multiply: 2 × 3 = 6, then 9 + 6 − 1 = 14
Final Answer: 14
Q8. 4 × [10 − (2 + 3)²] + 15 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Inner brackets: (2 + 3) = 5, Orders: 5² = 25, Outer brackets: [10 − 25] = −15, Multiply: 4 × (−15) = −60, Add: −60 + 15 = −45
Final Answer: -45
Q9. ½ × (6² − 12) + 3 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: 6² = 36, Brackets: (36 − 12) = 24, Multiply: ½ × 24 = 12, Add: 12 + 3 = 15
Final Answer: 15
Q10. √(16 + 9) × 2 − 3² = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: (16 + 9) = 25, Orders: √25 = 5 and 3² = 9, Multiply: 5 × 2 = 10, Subtract: 10 − 9 = 1
Final Answer: 1
Q11. 3 × (2³ − 4) + 12 ÷ 4 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: 2³ = 8, Brackets: (8 − 4) = 4, Multiply: 3 × 4 = 12, Divide: 12 ÷ 4 = 3, Add: 12 + 3 = 15
Final Answer: 15
Q12. (4² + 3²) ÷ 5 + 2³ = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: 4² = 16, 3² = 9, 2³ = 8, Brackets: (16 + 9) = 25, Divide: 25 ÷ 5 = 5, Add: 5 + 8 = 13
Final Answer: 13
Q13. √144 ÷ 3 + (5² − 4 × 5) = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: √144 = 12 and 5² = 25. Inside bracket: 25 − 20 = 5. Division: 12 ÷ 3 = 4. Add: 4 + 5 = 9
Final Answer: 9
Q14. (3 + 1)³ ÷ 8 − 2 × 3 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: (3 + 1) = 4, Orders: 4³ = 64, Divide: 64 ÷ 8 = 8, Multiply: 2 × 3 = 6, Subtract: 8 − 6 = 2
Final Answer: 2
Q15. (2 + 3)³ ÷ 25 − 2² = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: (2 + 3) = 5, Orders: 5³ = 125 and 2² = 4, Divide: 125 ÷ 25 = 5, Subtract: 5 − 4 = 1
Final Answer: 1
Q16. −2 × (3² − 1) + √64 ÷ 2 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: 3² = 9 and √64 = 8, Brackets: (9 − 1) = 8, Multiply: −2 × 8 = −16, Divide: 8 ÷ 2 = 4, then −16 + 4 = −12
Final Answer: -12
Q17. [4² + (6 − 2)²] ÷ 8 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Inner brackets: (6 − 2) = 4, Orders: 4² = 16 and 4² = 16, Outer brackets: [16 + 16] = 32, Divide: 32 ÷ 8 = 4
Final Answer: 4
Q18. 5 × (−1)³ + 2 × 3² − (8 − 3) = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: (−1)³ = −1 and 3² = 9, Brackets: (8 − 3) = 5, Multiply: 5 × (−1) = −5 and 2 × 9 = 18, then −5 + 18 − 5 = 8
Final Answer: 8
Q19. 2 × [3 × (10 − 5) + 1] = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Innermost: (10 − 5) = 5, Multiply: 3 × 5 = 15, Brackets: 15 + 1 = 16, Multiply: 2 × 16 = 32
Final Answer: 32
Q20. (−4)² ÷ 2³ + 3 × (√81 − 7) = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: (−4)² = 16, 2³ = 8, √81 = 9. Divide: 16 ÷ 8 = 2. Bracket: 9 − 7 = 2. Multiply: 3 × 2 = 6. Add: 2 + 6 = 8
Final Answer: 8
Q21. 3 × [2³ + (15 − 3²) ÷ 2] = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders in bracket: 3² = 9, Bracket: 15 − 9 = 6, Division: 6 ÷ 2 = 3, Order: 2³ = 8, Outer bracket: 8 + 3 = 11, Multiply: 3 × 11 = 33
Final Answer: 33
Q22. [(10 − 2)² + 6 × 6] ÷ √100 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Inner bracket: 10 − 2 = 8, Orders: 8² = 64, √100 = 10. Multiply: 6 × 6 = 36. Outer bracket: 64 + 36 = 100. Divide: 100 ÷ 10 = 10
Final Answer: 10
Q23. 4³ ÷ (2² × 4) + 5 × (3 − 1)³ = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: 4³ = 64, 2² = 4. Inner bracket: 4 × 4 = 16, (3 − 1) = 2, 2³ = 8. Divide: 64 ÷ 16 = 4. Multiply: 5 × 8 = 40. Add: 4 + 40 = 44
Final Answer: 44
Q24. −3 × (2⁴ − 10) + √121 ÷ 11 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: 2⁴ = 16, √121 = 11. Bracket: 16 − 10 = 6. Multiply: −3 × 6 = −18. Divide: 11 ÷ 11 = 1. Add: −18 + 1 = −17
Final Answer: -17
Q25. (5² − 4²)² ÷ 9 + 3 × (2³ − 6) = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: 5² = 25, 4² = 16, 2³ = 8. First bracket: 25 − 16 = 9, then 9² = 81. Divide: 81 ÷ 9 = 9. Second bracket: 8 − 6 = 2, 3 × 2 = 6. Add: 9 + 6 = 15
Final Answer: 15
⚡ Interactive Visual Tool
Interactive Grade 10 BODMAS Step Visualizer
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Current Expression State: Initial Expression
Rule: Ready
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Step Breakdown Summary
Interactive Self-Check Practice Quiz
Enter your answers below to verify your solutions with instant scoring. Click 💡 Solution to reveal step-by-step bracket expansions, exponent evaluations, and signed number arithmetic.
Standard Question 1
5² − 3 × 4 + 8 = ?
Your Answer:
Standard Question 2
(7 + 3)² ÷ 5 = ?
Your Answer:
Standard Question 3
2³ + 4² − 6 × 3 = ?
Your Answer:
Standard Question 4
36 ÷ (2 × 3)² = ?
Your Answer:
Standard Question 5
√49 + 3² × 2 = ?
Your Answer:
Standard Question 6
100 ÷ 5² + 4 × 3 = ?
Your Answer:
Advanced Question 7
(−3)² + 2 × (8 − 5) − 1 = ?
Your Answer:
Advanced Question 8
4 × [10 − (2 + 3)²] + 15 = ?
Your Answer:
Advanced Question 9
½ × (6² − 12) + 3 = ?
Your Answer:
Advanced Question 10
√(16 + 9) × 2 − 3² = ?
Your Answer:
Advanced Question 11
3 × (2³ − 4) + 12 ÷ 4 = ?
Your Answer:
Advanced Question 12
(4² + 3²) ÷ 5 + 2³ = ?
Your Answer:
Advanced Question 13
√144 ÷ 3 + (5² − 4 × 5) = ?
Your Answer:
Advanced Question 14
(3 + 1)³ ÷ 8 − 2 × 3 = ?
Your Answer:
Challenging Question 15
(2 + 3)³ ÷ 25 − 2² = ?
Your Answer:
Challenging Question 16
−2 × (3² − 1) + √64 ÷ 2 = ?
Your Answer:
Challenging Question 17
[4² + (6 − 2)²] ÷ 8 = ?
Your Answer:
Challenging Question 18
5 × (−1)³ + 2 × 3² − (8 − 3) = ?
Your Answer:
Challenging Question 19
2 × [3 × (10 − 5) + 1] = ?
Your Answer:
Challenging Question 20
(−4)² ÷ 2³ + 3 × (√81 − 7) = ?
Your Answer:
Challenging Question 21
3 × [2³ + (15 − 3²) ÷ 2] = ?
Your Answer:
Challenging Question 22
[(10 − 2)² + 6 × 6] ÷ √100 = ?
Your Answer:
Challenging Question 23
4³ ÷ (2² × 4) + 5 × (3 − 1)³ = ?
Your Answer:
Challenging Question 24
−3 × (2⁴ − 10) + √121 ÷ 11 = ?
Your Answer:
Challenging Question 25
(5² − 4²)² ÷ 9 + 3 × (2³ − 6) = ?
Your Answer:
Quick Answer Reference Key
| # | Expression | Answer | Level |
|---|---|---|---|
| 1 | 5² − 3 × 4 + 8 | 21 | Standard |
| 2 | (7 + 3)² ÷ 5 | 20 | Standard |
| 3 | 2³ + 4² − 6 × 3 | 6 | Standard |
| 4 | 36 ÷ (2 × 3)² | 1 | Standard |
| 5 | √49 + 3² × 2 | 25 | Standard |
| 6 | 100 ÷ 5² + 4 × 3 | 16 | Standard |
| 7 | (−3)² + 2 × (8 − 5) − 1 | 14 | Advanced |
| 8 | 4 × [10 − (2 + 3)²] + 15 | -45 | Advanced |
| 9 | ½ × (6² − 12) + 3 | 15 | Advanced |
| 10 | √(16 + 9) × 2 − 3² | 1 | Advanced |
| 11 | 3 × (2³ − 4) + 12 ÷ 4 | 15 | Advanced |
| 12 | (4² + 3²) ÷ 5 + 2³ | 13 | Advanced |
| 13 | √144 ÷ 3 + (5² − 4 × 5) | 9 | Advanced |
| 14 | (3 + 1)³ ÷ 8 − 2 × 3 | 2 | Advanced |
| 15 | (2 + 3)³ ÷ 25 − 2² | 1 | Challenging |
| 16 | −2 × (3² − 1) + √64 ÷ 2 | -12 | Challenging |
| 17 | [4² + (6 − 2)²] ÷ 8 | 4 | Challenging |
| 18 | 5 × (−1)³ + 2 × 3² − (8 − 3) | 8 | Challenging |
| 19 | 2 × [3 × (10 − 5) + 1] | 32 | Challenging |
| 20 | (−4)² ÷ 2³ + 3 × (√81 − 7) | 8 | Challenging |
| 21 | 3 × [2³ + (15 − 3²) ÷ 2] | 33 | Challenging |
| 22 | [(10 − 2)² + 6 × 6] ÷ √100 | 10 | Challenging |
| 23 | 4³ ÷ (2² × 4) + 5 × (3 − 1)³ | 44 | Challenging |
| 24 | −3 × (2⁴ − 10) + √121 ÷ 11 | -17 | Challenging |
| 25 | (5² − 4²)² ÷ 9 + 3 × (2³ − 6) | 15 | Challenging |