Year 8 Order of Operations (BODMAS) Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers
Brackets, then Orders (indices), then Division/Multiplication (left to right), then Addition/Subtraction (left to right).
1.(3 + 2)2 ÷ 5
Answer: 5
- Brackets: 3 + 2 = 5
- Index: 52 = 25
- 25 ÷ 5 = 5
2.6 × 5 − 7 × 5
Answer: −5
- 6 × 5 = 30 and 7 × 5 = 35
- 30 − 35 = −5
3.9 × 6 − 9 × 2
Answer: 36
- 9 × 6 = 54 and 9 × 2 = 18
- 54 − 18 = 36
4.60 − 12 ÷ 2
Answer: 54
- Divide first: 12 ÷ 2 = 6
- 60 − 6 = 54
5.(6 + 7)2 ÷ 13
Answer: 13
- Brackets: 6 + 7 = 13
- Index: 132 = 169
- 169 ÷ 13 = 13
6.6 × 4 − 5 × 2
Answer: 14
- 6 × 4 = 24 and 5 × 2 = 10
- 24 − 10 = 14
7.30 − 24 ÷ 4
Answer: 24
- Divide first: 24 ÷ 4 = 6
- 30 − 6 = 24
8.(8 + 6)2 ÷ 14
Answer: 14
- Brackets: 8 + 6 = 14
- Index: 142 = 196
- 196 ÷ 14 = 14
9.52 + 7 × (5 − 4)
Answer: 32
- Brackets: 5 − 4 = 1
- Index: 52 = 25
- Multiply: 7 × 1 = 7
- 25 + 7 = 32
10.(9 + 9)2 ÷ 18
Answer: 18
- Brackets: 9 + 9 = 18
- Index: 182 = 324
- 324 ÷ 18 = 18
11.42 + 2 × (3 − 4)
Answer: 14
- Brackets: 3 − 4 = (−1)
- Index: 42 = 16
- Multiply: 2 × (−1) = (−2)
- 16 − 2 = 14
12.52 + 3 × (5 − 4)
Answer: 28
- Brackets: 5 − 4 = 1
- Index: 52 = 25
- Multiply: 3 × 1 = 3
- 25 + 3 = 28
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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