Year 8 Order of Operations (BODMAS) Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 8 order of operations worksheet.
Year 8 Order of Operations (BODMAS) Worksheet — Level 3 — Practice Set 3 — Answers
Brackets, then Orders (indices), then Division/Multiplication (left to right), then Addition/Subtraction (left to right).
1.14 − 6 ÷ 3
Answer: 12
- Divide first: 6 ÷ 3 = 2
- 14 − 2 = 12
2.(7 + 4)2 ÷ 11
Answer: 11
- Brackets: 7 + 4 = 11
- Index: 112 = 121
- 121 ÷ 11 = 11
3.10 − 8 ÷ 4
Answer: 8
- Divide first: 8 ÷ 4 = 2
- 10 − 2 = 8
4.92 + 9 × (4 − 4)
Answer: 81
- Brackets: 4 − 4 = 0
- Index: 92 = 81
- Multiply: 9 × 0 = 0
- 81 + 0 = 81
5.21 − 45 ÷ 5
Answer: 12
- Divide first: 45 ÷ 5 = 9
- 21 − 9 = 12
6.17 − 16 ÷ 2
Answer: 9
- Divide first: 16 ÷ 2 = 8
- 17 − 8 = 9
7.32 + 7 × (6 − 2)
Answer: 37
- Brackets: 6 − 2 = 4
- Index: 32 = 9
- Multiply: 7 × 4 = 28
- 9 + 28 = 37
8.82 + 6 × (4 − 4)
Answer: 64
- Brackets: 4 − 4 = 0
- Index: 82 = 64
- Multiply: 6 × 0 = 0
- 64 + 0 = 64
9.8 × 3 − 9 × 3
Answer: −3
- 8 × 3 = 24 and 9 × 3 = 27
- 24 − 27 = −3
10.(4 + 8)2 ÷ 12
Answer: 12
- Brackets: 4 + 8 = 12
- Index: 122 = 144
- 144 ÷ 12 = 12
11.38 − 6 ÷ 3
Answer: 36
- Divide first: 6 ÷ 3 = 2
- 38 − 2 = 36
12.42 − 8 ÷ 4
Answer: 40
- Divide first: 8 ÷ 4 = 2
- 42 − 2 = 40
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.
Great work. Here's what to try next: