Year 8 Order of Operations (BODMAS) Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers
Brackets, then Orders (indices), then Division/Multiplication (left to right), then Addition/Subtraction (left to right).
1.52 − 14 ÷ 2
Answer: 45
- Divide first: 14 ÷ 2 = 7
- 52 − 7 = 45
2.(2 + 4)2 ÷ 6
Answer: 6
- Brackets: 2 + 4 = 6
- Index: 62 = 36
- 36 ÷ 6 = 6
3.(6 + 2)2 ÷ 8
Answer: 8
- Brackets: 6 + 2 = 8
- Index: 82 = 64
- 64 ÷ 8 = 8
4.30 − 20 ÷ 4
Answer: 25
- Divide first: 20 ÷ 4 = 5
- 30 − 5 = 25
5.53 − 20 ÷ 4
Answer: 48
- Divide first: 20 ÷ 4 = 5
- 53 − 5 = 48
6.70 − 28 ÷ 4
Answer: 63
- Divide first: 28 ÷ 4 = 7
- 70 − 7 = 63
7.92 + 6 × (5 − 5)
Answer: 81
- Brackets: 5 − 5 = 0
- Index: 92 = 81
- Multiply: 6 × 0 = 0
- 81 + 0 = 81
8.32 − 4 ÷ 2
Answer: 30
- Divide first: 4 ÷ 2 = 2
- 32 − 2 = 30
9.31 − 6 ÷ 2
Answer: 28
- Divide first: 6 ÷ 2 = 3
- 31 − 3 = 28
10.40 − 10 ÷ 2
Answer: 35
- Divide first: 10 ÷ 2 = 5
- 40 − 5 = 35
11.35 − 14 ÷ 2
Answer: 28
- Divide first: 14 ÷ 2 = 7
- 35 − 7 = 28
12.3 × 5 − 9 × 3
Answer: −12
- 3 × 5 = 15 and 9 × 3 = 27
- 15 − 27 = −12
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.
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