BODMAS Questions

How to Solve BODMAS Questions and Simplification Questions

BODMAS is a rule that tells us the correct order to solve math problems with multiple operations. If we don’t follow BODMAS, we might get the wrong answer.

BODMAS Rule

  1. Brackets → Solve inside ( ), { }, [ ] first.
  2. Orders → Solve powers (², ³) and roots (√).
  3. Division & Multiplication → Left to right.
  4. Addition & Subtraction → Left to right.

Examples of BODMAS Simplification

Example 1: Nested Brackets

Problem:
12 + {6 − [3 × (4 − 2)]} ÷ 2

Solution:

  1. Innermost bracket: (4 − 2) = 2
    → 12 + {6 − [3 × 2]} ÷ 2
  2. Next bracket: [3 × 2] = 6
    → 12 + {6 − 6} ÷ 2
  3. Curly bracket: {6 − 6} = 0
    → 12 + 0 ÷ 2
  4. Division: 0 ÷ 2 = 0
  5. Addition: 12 + 0 = 12

Final Answer: 12

Example 2: Powers and Division

Problem:
(5² − 4 × 3) ÷ (6 − 2²)

Solution:

  1. Solve powers first:
  • 5² = 25
  • 2² = 4
    → (25 − 4 × 3) ÷ (6 − 4)
  1. Multiplication inside bracket: 4 × 3 = 12
    → (25 − 12) ÷ (6 − 4)
  2. Subtraction inside brackets:
  • 25 − 12 = 13
  • 6 − 4 = 2
    → 13 ÷ 2
  1. Division: 13 ÷ 2 = 6.5

Final Answer: 6.5

Example 3: Mixed Operations with Fractions

Problem:
8 ÷ 2 × (2 + 2) − 4² ÷ 4

Solution:

  1. Bracket first: (2 + 2) = 4
    → 8 ÷ 2 × 4 − 4² ÷ 4
  2. Power (Order): 4² = 16
    → 8 ÷ 2 × 4 − 16 ÷ 4
  3. Division & Multiplication (left to right):
  • 8 ÷ 2 = 4
  • 4 × 4 = 16
  • 16 ÷ 4 = 4
    → 16 − 4

Subtraction: 16 − 4 = 12

Final Answer: 12

Example 4: Complex Nested Brackets

Problem:
20 − [5 + {8 − (3 × 2)}] × 2

Solution:

  1. Innermost bracket: (3 × 2) = 6
    → 20 − [5 + {8 − 6}] × 2
  2. Curly bracket: {8 − 6} = 2
    → 20 − [5 + 2] × 2
  3. Square bracket: [5 + 2] = 7
    → 20 − 7 × 2
  4. Multiplication: 7 × 2 = 14
  5. Subtraction: 20 − 14 = 6

Final Answer: 6

Key Tips for BODMAS Simplification Rule

1.Always start from the innermost bracket.
2.Solve powers/roots before ×, ÷, +, −.
3.If same priority (like × & ÷), solve left to right.
4.Double-check calculations to avoid mistakes.

BODMAS question from easy to hard level

  1. 5 + 3 × 2
  2. 10 – 4 ÷ 2
  3. (6 + 2) × 3
  4. 8 ÷ 4 + 1
  5. 12 – (5 + 2)
  6. 3 + 4 × (5 – 2)
  7. 2³ + 4 × 2
  8. (7 – 2) × (3 + 1)
  9. 10 ÷ (2 + 3)
  10. 5 × 2² – 6
  11. 15 – 3 × 4 + 2
  12. 6 ÷ 2 + 4 × 3
  13. (9 – 5) × 2 + 7
  14. 3 + 12 ÷ (4 – 1)
  15. 2 × (5 + 3) – 4
  16. 2 + [3 × (4 + 1)]
  17. (2³ + 4) × (5 – 2)
  18. 5 × [6 – (3 + 1)]
  19. 12 ÷ {3 × (2 – 1)}
  20. 8 + (5 × 2²) ÷ 2
  21. (10 – 2 × 3) ÷ 4
  22. 3 + (6 × 2) ÷ 4
  23. (5 × 2) + 12 ÷ 3 – 1
  24. (8 – 2) × 3 ÷ 6
  25. 4² – (10 + 6) ÷ 2
  26. {5 + [3 × (6 – 2)]} ÷ 4
  27. 2⁴ – (3 × 2) + 12 ÷ 3
  28. (10 ÷ 2) + [4 × (3 – 1)²]
  29. 20 – {3 × [5 – (2 + 1)]}
  30. (4 + 6) × 2 ÷ 5 + 3²
  31. 3 × (4 + 2³) – 5
  32. (12 ÷ 3)² + 5 × 2
  33. 7 + [18 ÷ (6 – 3)] ÷ 2
  34. 5² – [4 × (6 – 2) + 1]
  35. (9 – 5) × 3 ÷ 2 + 4²
  36. A shop has 12 chocolates. If 3 kids buy 2 chocolates each, how many are left? (Write as BODMAS: 12 – 3 × 2)
  37. A box has 5 rows of 4 apples. If 6 apples are removed, how many remain? (BODMAS: 5 × 4 – 6)
  38. A man buys 3 packs of 6 pens and gives away 4. How many pens does he have? (BODMAS: 3 × 6 – 4)
  39. If a pizza is cut into 8 slices and 3 people eat 2 slices each, how many are left? (BODMAS: 8 – 3 × 2)
  40. A classroom has 30 seats. If 4 rows have 5 seats each and the rest are single, how many single seats are there? (BODMAS: 30 – 4 × 5)
  41. (2 + 3²) × (4 – 1)
  42. 5 + [16 ÷ (8 – 4)] ÷ 2
  43. 3 × [5 + (6 – 2)²]
  44. (7 × 2) + 18 ÷ 3² – 1
  45. 10 – {2 × [3 + (5 – 2)]}
  46. (5 + 3) × 2 ÷ 4 + 6
  47. 2³ × (4 – 1) + 5
  48. (9 ÷ 3) + [2 × (5 – 1)²]
  49. 25 – {4 × [6 – (3 + 1)]}
  50. (12 – 4) × 3 ÷ 6 + 2

BODMAS Question with answer

How to Solve BODMAS questions ? Below is the answers just click below

BODMAS questions and answer
  1. 5 + 3 × 2 = 11
  2. 10 – 4 ÷ 2 = 8
  3. (6 + 2) × 3 = 24
  4. 8 ÷ 4 + 1 = 3
  5. 12 – (5 + 2) = 5
  6. 3 + 4 × (5 – 2) = 15
  7. 2³ + 4 × 2 = 16
  8. (7 – 2) × (3 + 1) = 20
  9. 10 ÷ (2 + 3) = 2
  10. 5 × 2² – 6 = 14
  11. 15 – 3 × 4 + 2 = 5
  12. 6 ÷ 2 + 4 × 3 = 15
  13. (9 – 5) × 2 + 7 = 15
  14. 3 + 12 ÷ (4 – 1) = 7
  15. 2 × (5 + 3) – 4 = 12
  16. 2 + [3 × (4 + 1)] = 17
  17. (2³ + 4) × (5 – 2) = 36
  18. 5 × [6 – (3 + 1)] = 10
  19. 12 ÷ {3 × (2 – 1)} = 4
  20. 8 + (5 × 2²) ÷ 2 = 18
  21. (10 – 2 × 3) ÷ 4 = 1
  22. 3 + (6 × 2) ÷ 4 = 6
  23. (5 × 2) + 12 ÷ 3 – 1 = 13
  24. (8 – 2) × 3 ÷ 6 = 3
  25. 4² – (10 + 6) ÷ 2 = 8
  26. {5 + [3 × (6 – 2)]} ÷ 4 = 4.25
  27. 2⁴ – (3 × 2) + 12 ÷ 3 = 14
  28. (10 ÷ 2) + [4 × (3 – 1)²] = 21
  29. 20 – {3 × [5 – (2 + 1)]} = 14
  30. (4 + 6) × 2 ÷ 5 + 3² = 13
  31. 3 × (4 + 2³) – 5 = 31
  32. (12 ÷ 3)² + 5 × 2 = 26
  33. 7 + [18 ÷ (6 – 3)] ÷ 2 = 10
  34. 5² – [4 × (6 – 2) + 1] = 8
  35. (9 – 5) × 3 ÷ 2 + 4² = 22
  36. 12 – 3 × 2 = 6
  37. 5 × 4 – 6 = 14
  38. 3 × 6 – 4 = 14
  39. 8 – 3 × 2 = 2
  40. 30 – 4 × 5 = 10
  41. (2 + 3²) × (4 – 1) = 33
  42. 5 + [16 ÷ (8 – 4)] ÷ 2 = 7
  43. 3 × [5 + (6 – 2)²] = 63
  44. (7 × 2) + 18 ÷ 3² – 1 = 15
  45. 10 – {2 × [3 + (5 – 2)]} = 4
  46. (5 + 3) × 2 ÷ 4 + 6 = 10
  47. 2³ × (4 – 1) + 5 = 29
  48. (9 ÷ 3) + [2 × (5 – 1)²] = 35
  49. 25 – {4 × [6 – (3 + 1)]} = 17
  50. (12 – 4) × 3 ÷ 6 + 2³ = 12

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