10/10/2026-Fiza

MATHEMATICS · ADVANCED PRACTICE

Fiza’s BODMAS Challenge

20 Tough Simplification Questions

StudentFiza
Total Questions20
Maximum Marks20

Date: __________________

Suggested time: 45–60 minutes

Instructions: Solve each question step by step. Show all working and do not use a calculator.

REMEMBER

BODMAS Rule

  1. B — Brackets
  2. O — Orders, such as powers. No powers are used in this worksheet.
  3. D and M — Division and Multiplication, from left to right.
  4. A and S — Addition and Subtraction, from left to right.
Important: Multiplication does not always come before division. When both appear together, calculate from left to right. Apply the same rule to addition and subtraction.
LEVEL 1 · CHALLENGING

Mixed Operations

Apply the correct order of multiplication, division, addition and subtraction.

184 ÷ 7 × 3 + 16 − 8
2120 − 48 ÷ 6 × 4 + 9
396 ÷ 8 × 5 − 18 + 7
4150 − 72 ÷ 8 × 6 + 11
LEVEL 2 · BRACKETS

Brackets with Mixed Operations

Solve the brackets first, then continue with the remaining operations.

572 ÷ (9 − 3) × 4 + 5
6100 − (24 ÷ 4 + 3) × 5
7(36 + 24) ÷ 5 × 3 − 8
8144 ÷ (6 × 4) + (25 − 9) × 2
LEVEL 3 · NESTED BRACKETS

Parentheses, Brackets and Braces

Work from the innermost brackets outwards.

980 − {12 + (18 ÷ 3) × 4}
10120 ÷ {5 × (8 − 4)} + 17
11150 − {24 ÷ (2 × 3) + 8 × 7}
12{60 ÷ (5 + 5)} × [18 − (12 ÷ 3)]
LEVEL 4 · ADVANCED

Multi-Step Simplification

Pay close attention to the order of operations in each expression.

13200 − [48 ÷ (4 × 3)] × 15
14180 ÷ [3 × (10 − 4)] + 7 × 5
15250 − {6 × [24 ÷ (8 − 4)] + 35}
16[96 ÷ (4 × 3) + 7] × 6 − 18
LEVEL 5 · MASTER CHALLENGE

Complex BODMAS Problems

These questions require careful calculation at every stage.

17300 − {8 × [36 ÷ (9 − 3)] + 24}
18240 ÷ {4 × [15 − (12 ÷ 3)]} + 19
19400 − [120 ÷ {5 × (8 − 2)}] × 30
20{180 ÷ [3 × (14 − 8)]} × [25 − (18 ÷ 3)] + 12
SELF-ASSESSMENT

Check Your Work

□ I solved the innermost brackets first.

□ I followed left-to-right order for division and multiplication.

□ I followed left-to-right order for addition and subtraction.

□ I showed all intermediate steps.

Score: ______ / 20

Questions to practise again: __________________________

Teacher’s Answer Key — Click to Reveal
1. 44
2. 97
3. 49
4. 107
5. 53
6. 55
7. 28
8. 36
9. 44
10. 23
11. 91
12. 84
13. 140
14. 45
15. 179
16. 72
17. 228
18. 23
19. 280
20. 107

Teacher’s Assessment Guide

16–20 marks: Strong understanding. Introduce more complex expressions.

12–15 marks: Revise the incorrect questions and practise similar ones.

Below 12 marks: Revisit operation priority and nested brackets before progressing.

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