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Mathematics

BODMAS Mastery Challenge

BODMAS Rule Simplification (Using 'Of' for Exponents)
Date: May 31, 2026  •  Questions: 30  •  Estimated time: 35 minutes
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Instructions: Read each question carefully and answer to the best of your ability. Show all working for word problems.
1. Using the BODMAS rule, simplify the expression: 8 + 2 × (5 - 3) Of 2. Provide detailed steps. (2 pts)
2. Simplify the expression: (4 + 6) Of 2 ÷ 5 - 3. Outline every step clearly. (2 pts)
3. Apply the BODMAS rule to simplify: 3 × (10 - 4) Of 2 + 7. Provide a step-by-step explanation. (2 pts)
4. Simplify the expression: (12 - 4) Of 2 ÷ (3 + 1) using BODMAS. Show your working. (2 pts)
5. Using BODMAS, simplify: 2 + 3 × (8 - 2) Of 2 - 5. Describe each intermediate step. (2 pts)
6. Simplify: (7 + 3) Of 2 - 4 × (6 - 4) by applying BODMAS. Provide a detailed breakdown. (2 pts)
7. Simplify the expression: (15 - 5) × (3 + 1) Of 2 using the BODMAS rule. Explain your process. (2 pts)
8. Using BODMAS, simplify: 5 × (9 - 4) Of 2 + 2. Include all intermediate calculations. (2 pts)
9. Simplify the following using the BODMAS rule: (14 ÷ 2) Of 2 + (3 × 2). Provide a clear explanation of each step. (2 pts)
10. Apply BODMAS to simplify: 10 + (6 - 2) Of 2 ÷ 4. Show each step in your solution. (2 pts)
11. Simplify: (20 - 10) Of 2 - 3 × (7 - 2) using the BODMAS rule. Detail every computation stage. (2 pts)
12. Using BODMAS, simplify: 3 + 2 × (12 - 4) Of 2. Provide a complete explanation. (2 pts)
13. Simplify the expression: (18 - 6) Of 2 ÷ 3 + 7 using BODMAS. Explain each step in detail. (2 pts)
14. Apply the BODMAS rule to simplify: 4 × [(9 - 3) Of 2 - 5]. Provide a detailed solution. (2 pts)
15. Simplify the expression: (16 ÷ 2) Of 2 + 3 × (8 - 5) using the BODMAS rule. Give a step-by-step breakdown. (2 pts)
16. Using the BODMAS rule, simplify: 5 × (7 + 3) Of 2 - 10. Explain each step clearly. (2 pts)
17. Simplify: (24 - 8) ÷ 4 Of 2 using BODMAS. Provide the detailed process. (2 pts)
18. Simplify the expression: 3 × (14 - 4) Of 2 ÷ 2 + 5 using the BODMAS rule. Explain your steps thoroughly. (2 pts)
19. Using BODMAS, simplify: (10 + 2) Of 2 - (18 ÷ 3). Provide a detailed solution. (2 pts)
20. Simplify the expression: 2 + [(8 - 3) Of 2 × 4] - 7 using the BODMAS rule. Walk through all steps. (2 pts)

21. Fill in the blank: In the expression (12-4) Of 2 ÷ 3 + 7, after applying the bracket and Of operations, the intermediate value is   . (1 pt)
22. Fill in the blank: Simplify (8+2) Of 2 - 3×4. The value of (8+2) Of 2 is   . (1 pt)
23. Fill in the blank: In the expression 5×(9-4) Of 2 + 2, the term (9-4) Of 2 simplifies to   . (1 pt)
24. Fill in the blank: For (20-10) Of 2 - 3×(7-2), the computation of (20-10) Of 2 yields   . (1 pt)
25. Fill in the blank: In the problem 4×[(9-3) Of 2 - 5], the component (9-3) Of 2 evaluates to   . (1 pt)
26. Fill in the blank: When simplifying (16÷2) Of 2 + 3×(8-5), the (16÷2) Of 2 part computes to   . (1 pt)
27. Fill in the blank: In (10+2) Of 2 - (18÷3), the intermediate value (10+2) Of 2 is   . (1 pt)
28. Fill in the blank: For 3×(14-4) Of 2 ÷2 +5, the segment (14-4) Of 2 results in   . (1 pt)
29. Fill in the blank: In 5×(7+3) Of 2 - 10, the operation (7+3) Of 2 computes to   . (1 pt)
30. Fill in the blank: In the expression 2+[(8-3) Of 2×4]-7, the result of (8-3) Of 2 is   . (1 pt)