Year 8 Order of Operations (BODMAS) Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 8 order of operations worksheet.
Year 8 Order of Operations (BODMAS) Worksheet — Level 3 — Answers
Brackets, then Orders (indices), then Division/Multiplication (left to right), then Addition/Subtraction (left to right).
1.7 × 9 − 3 × 5
Answer: 48
- 7 × 9 = 63 and 3 × 5 = 15
- 63 − 15 = 48
2.(8 + 8)2 ÷ 16
Answer: 16
- Brackets: 8 + 8 = 16
- Index: 162 = 256
- 256 ÷ 16 = 16
3.9 × 9 − 5 × 2
Answer: 71
- 9 × 9 = 81 and 5 × 2 = 10
- 81 − 10 = 71
4.21 − 9 ÷ 3
Answer: 18
- Divide first: 9 ÷ 3 = 3
- 21 − 3 = 18
5.2 × 2 − 8 × 4
Answer: −28
- 2 × 2 = 4 and 8 × 4 = 32
- 4 − 32 = −28
6.8 × 3 − 5 × 5
Answer: −1
- 8 × 3 = 24 and 5 × 5 = 25
- 24 − 25 = −1
7.3 × 3 − 9 × 2
Answer: −9
- 3 × 3 = 9 and 9 × 2 = 18
- 9 − 18 = −9
8.21 − 12 ÷ 2
Answer: 15
- Divide first: 12 ÷ 2 = 6
- 21 − 6 = 15
9.7 × 9 − 7 × 4
Answer: 35
- 7 × 9 = 63 and 7 × 4 = 28
- 63 − 28 = 35
10.(4 + 8)2 ÷ 12
Answer: 12
- Brackets: 4 + 8 = 12
- Index: 122 = 144
- 144 ÷ 12 = 12
11.8 × 9 − 7 × 4
Answer: 44
- 8 × 9 = 72 and 7 × 4 = 28
- 72 − 28 = 44
12.31 − 14 ÷ 2
Answer: 24
- Divide first: 14 ÷ 2 = 7
- 31 − 7 = 24
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: