BODMAS Calculator Worksheet
A printable BODMAS worksheet with 35 problems organized by topic: brackets, exponents, mixed operations, and word problems. Full answer key and downloadable PDF test sheets.
BODMAS Worksheet: 35 Problems With Answers
This comprehensive BODMAS worksheet contains 35 practice problems organized across 7 distinct skill sections. Download or print the full blank test sheet for students, or the complete solution key with step-by-step working. You can also solve and verify each problem using our free BODMAS calculator.
📄 Official Printable Test Papers
35-Problem Comprehensive BODMAS Worksheet
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
35-Problem Comprehensive BODMAS Worksheet
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. (3 + 5) × 4 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets first: (3 + 5) = 8, then 8 × 4 = 32
Final Answer: 32
Q2. 2 × (10 − 6) = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets first: (10 − 6) = 4, then 2 × 4 = 8
Final Answer: 8
Q3. (12 ÷ 3) + (7 × 2) = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: 12 ÷ 3 = 4 and 7 × 2 = 14, then 4 + 14 = 18
Final Answer: 18
Q4. 5 × (2 + 8) − 10 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: (2 + 8) = 10, Multiply: 5 × 10 = 50, then 50 − 10 = 40
Final Answer: 40
Q5. (9 − 3) × (4 + 1) = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: 9 − 3 = 6 and 4 + 1 = 5, Multiply: 6 × 5 = 30
Final Answer: 30
Q6. 2² + 3 × 4 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: 2² = 4, Multiply: 3 × 4 = 12, then 4 + 12 = 16
Final Answer: 16
Q7. (5 + 1)² ÷ 9 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: 5 + 1 = 6, Orders: 6² = 36, then 36 ÷ 9 = 4
Final Answer: 4
Q8. 3³ − 2 × 10 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: 3³ = 27, Multiply: 2 × 10 = 20, then 27 − 20 = 7
Final Answer: 7
Q9. √16 + 3² × 2 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: √16 = 4, 3² = 9, Multiply: 9 × 2 = 18, then 4 + 18 = 22
Final Answer: 22
Q10. (2 + 3)² − 4² = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: 2 + 3 = 5, Orders: 5² = 25 and 4² = 16, then 25 − 16 = 9
Final Answer: 9
Q11. 8 + 4 × 3 − 6 ÷ 2 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Multiply/Divide: 4 × 3 = 12 and 6 ÷ 2 = 3, then 8 + 12 − 3 = 17
Final Answer: 17
Q12. 24 ÷ 6 × 3 + 5 − 1 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Left-to-right: 24 ÷ 6 = 4, 4 × 3 = 12, then 12 + 5 − 1 = 16
Final Answer: 16
Q13. 15 − 3 × 2 + 8 ÷ 4 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Multiply/Divide: 3 × 2 = 6, 8 ÷ 4 = 2, then 15 − 6 + 2 = 11
Final Answer: 11
Q14. 7 × 2 − 4 + 18 ÷ 9 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Multiply/Divide: 7 × 2 = 14, 18 ÷ 9 = 2, then 14 − 4 + 2 = 12
Final Answer: 12
Q15. 10 + 20 ÷ 4 − 3 × 2 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Divide/Multiply: 20 ÷ 4 = 5, 3 × 2 = 6, then 10 + 5 − 6 = 9
Final Answer: 9
Q16. 2 × [10 − (3 + 2)] = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Inner: 3 + 2 = 5, Outer: 10 − 5 = 5, then 2 × 5 = 10
Final Answer: 10
Q17. 3 × [(8 − 2) ÷ 3 + 4] = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Inner: 8 − 2 = 6, Divide: 6 ÷ 3 = 2, Add: 2 + 4 = 6, then 3 × 6 = 18
Final Answer: 18
Q18. [4 + (6 × 2)] ÷ 2 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Inner: 6 × 2 = 12, Outer: 4 + 12 = 16, then 16 ÷ 2 = 8
Final Answer: 8
Q19. 5 × [2 + (12 ÷ 4)] = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Innermost: 12 ÷ 4 = 3, Add: 2 + 3 = 5, then 5 × 5 = 25
Final Answer: 25
Q20. [(15 − 5) × 2 + 10] ÷ 6 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Inner: 15 − 5 = 10, Multiply: 10 × 2 = 20, Add: 20 + 10 = 30, then 30 ÷ 6 = 5
Final Answer: 5
Q21. √64 × 3 − 2³ + 5 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: √64 = 8, 2³ = 8, Multiply: 8 × 3 = 24, Operations: 24 − 8 + 5 = 21
Final Answer: 21
Q22. (√81 − 3)² ÷ 4 + 7 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: √81 = 9, Bracket: 9 − 3 = 6, Order: 6² = 36, Divide: 36 ÷ 4 = 9, Add: 9 + 7 = 16
Final Answer: 16
Q23. 3³ + √49 × 2 − 10 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: 3³ = 27, √49 = 7, Multiply: 7 × 2 = 14, Operations: 27 + 14 − 10 = 31
Final Answer: 31
Q24. 4² ÷ (√16 × 2) + 6 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: 4² = 16, √16 = 4, Bracket: 4 × 2 = 8, Divide: 16 ÷ 8 = 2, Add: 2 + 6 = 8
Final Answer: 8
Q25. 2 × (√100 − 4) + 3² = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: √100 = 10, 3² = 9, Bracket: 10 − 4 = 6, Multiply: 2 × 6 = 12, Add: 12 + 9 = 21
Final Answer: 21
Q26. (18 ÷ 2) × (15 ÷ 5) − 7 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: 18 ÷ 2 = 9 and 15 ÷ 5 = 3, Multiply: 9 × 3 = 27, Subtract: 27 − 7 = 20
Final Answer: 20
Q27. 30 ÷ (3 × 2) + 4 × (6 − 2) = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: 3 × 2 = 6 and 6 − 2 = 4, Divide: 30 ÷ 6 = 5, Multiply: 4 × 4 = 16, Add: 5 + 16 = 21
Final Answer: 21
Q28. ½ × (20 + 16 ÷ 4) = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Inside bracket divide first: 16 ÷ 4 = 4, then 20 + 4 = 24. Multiply: ½ × 24 = 12
Final Answer: 12
Q29. (24 − 4) ÷ 5 + 3 × (10 − 7) = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: 24 − 4 = 20 and 10 − 7 = 3, Divide: 20 ÷ 5 = 4, Multiply: 3 × 3 = 9, Add: 4 + 9 = 13
Final Answer: 13
Q30. 40 ÷ [(12 − 4) ÷ 2 + 6] = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Inner bracket: 12 − 4 = 8, Divide: 8 ÷ 2 = 4, Outer: 4 + 6 = 10, Divide: 40 ÷ 10 = 4
Final Answer: 4
Q31. (3 + 2)² × 2 − 8 × 5 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: 3 + 2 = 5, Orders: 5² = 25, Multiply: 25 × 2 = 50 and 8 × 5 = 40, then 50 − 40 = 10
Final Answer: 10
Q32. √49 × (3² − 5) + 1 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Orders: √49 = 7, 3² = 9, Brackets: 9 − 5 = 4, Multiply: 7 × 4 = 28, then 28 + 1 = 29
Final Answer: 29
Q33. 2³ + (12 − 4)² ÷ 16 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Brackets: 12 − 4 = 8, Orders: 2³ = 8, 8² = 64, Divide: 64 ÷ 16 = 4, then 8 + 4 = 12
Final Answer: 12
Q34. 4 × [3² − (2 + 1)] + 6 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Inner: 2 + 1 = 3, Orders: 3² = 9, Outer: 9 − 3 = 6, Multiply: 4 × 6 = 24, then 24 + 6 = 30
Final Answer: 30
Q35. (10 − 2 × 3)² + 12 ÷ 4 = ? [2 Marks]
Workspace / Working:
Answer:
Step-by-Step Solution:
Multiply: 2 × 3 = 6, Brackets: 10 − 6 = 4, Orders: 4² = 16, Divide: 12 ÷ 4 = 3, then 16 + 3 = 19
Final Answer: 19
⚡ Interactive Visual Tool
Interactive Worksheet Equation 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
Section A: Brackets Only (Questions 1–5)
1.(3 + 5) × 4= 32
2.2 × (10 − 6)= 8
3.(12 ÷ 3) + (7 × 2)= 18
4.5 × (2 + 8) − 10= 40
5.(9 − 3) × (4 + 1)= 30
Section B: Exponents and Orders (Questions 6–10)
6.2² + 3 × 4= 16
7.(5 + 1)² ÷ 9= 4
8.3³ − 2 × 10= 7
9.√16 + 3² × 2= 22
10.(2 + 3)² − 4²= 9
Section C: Mixed Operations (Questions 11–15)
11.8 + 4 × 3 − 6 ÷ 2= 17
12.24 ÷ 6 × 3 + 5 − 1= 16
13.15 − 3 × 2 + 8 ÷ 4= 11
14.7 × 2 − 4 + 18 ÷ 9= 12
15.10 + 20 ÷ 4 − 3 × 2= 9
Section D: Nested Brackets (Questions 16–20)
16.2 × [10 − (3 + 2)]= 10
17.3 × [(8 − 2) ÷ 3 + 4]= 18
18.[4 + (6 × 2)] ÷ 2= 8
19.5 × [2 + (12 ÷ 4)]= 25
20.[(15 − 5) × 2 + 10] ÷ 6= 5
Section E: Square Roots & Orders (Questions 21–25)
21.√64 × 3 − 2³ + 5= 21
22.(√81 − 3)² ÷ 4 + 7= 16
23.3³ + √49 × 2 − 10= 31
24.4² ÷ (√16 × 2) + 6= 8
25.2 × (√100 − 4) + 3²= 21
Section F: Division & Fractions (Questions 26–30)
26.(18 ÷ 2) × (15 ÷ 5) − 7= 20
27.30 ÷ (3 × 2) + 4 × (6 − 2)= 21
28.½ × (20 + 16 ÷ 4)= 12
29.(24 − 4) ÷ 5 + 3 × (10 − 7)= 13
30.40 ÷ [(12 − 4) ÷ 2 + 6]= 4
Section G: Ultimate Challenge Problems (Questions 31–35)
31.(3 + 2)² × 2 − 8 × 5= 10
32.√49 × (3² − 5) + 1= 29
33.2³ + (12 − 4)² ÷ 16= 12
34.4 × [3² − (2 + 1)] + 6= 30
35.(10 − 2 × 3)² + 12 ÷ 4= 19
Complete Answer Key
| # | Expression | Answer | Section |
|---|---|---|---|
| 1 | (3 + 5) × 4 | 32 | A — Brackets |
| 2 | 2 × (10 − 6) | 8 | A — Brackets |
| 3 | (12 ÷ 3) + (7 × 2) | 18 | A — Brackets |
| 4 | 5 × (2 + 8) − 10 | 40 | A — Brackets |
| 5 | (9 − 3) × (4 + 1) | 30 | A — Brackets |
| 6 | 2² + 3 × 4 | 16 | B — Exponents |
| 7 | (5 + 1)² ÷ 9 | 4 | B — Exponents |
| 8 | 3³ − 2 × 10 | 7 | B — Exponents |
| 9 | √16 + 3² × 2 | 22 | B — Exponents |
| 10 | (2 + 3)² − 4² | 9 | B — Exponents |
| 11 | 8 + 4 × 3 − 6 ÷ 2 | 17 | C — Mixed |
| 12 | 24 ÷ 6 × 3 + 5 − 1 | 16 | C — Mixed |
| 13 | 15 − 3 × 2 + 8 ÷ 4 | 11 | C — Mixed |
| 14 | 7 × 2 − 4 + 18 ÷ 9 | 12 | C — Mixed |
| 15 | 10 + 20 ÷ 4 − 3 × 2 | 9 | C — Mixed |
| 16 | 2 × [10 − (3 + 2)] | 10 | D — Nested |
| 17 | 3 × [(8 − 2) ÷ 3 + 4] | 18 | D — Nested |
| 18 | [4 + (6 × 2)] ÷ 2 | 8 | D — Nested |
| 19 | 5 × [2 + (12 ÷ 4)] | 25 | D — Nested |
| 20 | [(15 − 5) × 2 + 10] ÷ 6 | 5 | D — Nested |
| 21 | √64 × 3 − 2³ + 5 | 21 | E — Roots |
| 22 | (√81 − 3)² ÷ 4 + 7 | 16 | E — Roots |
| 23 | 3³ + √49 × 2 − 10 | 31 | E — Roots |
| 24 | 4² ÷ (√16 × 2) + 6 | 8 | E — Roots |
| 25 | 2 × (√100 − 4) + 3² | 21 | E — Roots |
| 26 | (18 ÷ 2) × (15 ÷ 5) − 7 | 20 | F — Fractions |
| 27 | 30 ÷ (3 × 2) + 4 × (6 − 2) | 21 | F — Fractions |
| 28 | ½ × (20 + 16 ÷ 4) | 12 | F — Fractions |
| 29 | (24 − 4) ÷ 5 + 3 × (10 − 7) | 13 | F — Fractions |
| 30 | 40 ÷ [(12 − 4) ÷ 2 + 6] | 4 | F — Fractions |
| 31 | (3 + 2)² × 2 − 8 × 5 | 10 | G — Challenge |
| 32 | √49 × (3² − 5) + 1 | 29 | G — Challenge |
| 33 | 2³ + (12 − 4)² ÷ 16 | 12 | G — Challenge |
| 34 | 4 × [3² − (2 + 1)] + 6 | 30 | G — Challenge |
| 35 | (10 − 2 × 3)² + 12 ÷ 4 | 19 | G — Challenge |
Tips for Teachers and Parents
- Start with Section A for students who are new to BODMAS — brackets build the foundation.
- Use Section C for mixed practice after students are comfortable with individual operations.
- Sections E, F, and G test advanced BODMAS skills — assign these problems to students preparing for exams or olympiads.
- Time the worksheet — give students 45 to 60 minutes for a complete exam challenge.
- Verify answers with the calculator — use the BODMAS calculator to check each step.