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).
1.69 − 18 ÷ 3
Answer: 63
- Divide first: 18 ÷ 3 = 6
- 69 − 6 = 63
2.2 × 6 − 3 × 3
Answer: 3
- 2 × 6 = 12 and 3 × 3 = 9
- 12 − 9 = 3
3.45 − 6 ÷ 2
Answer: 42
- Divide first: 6 ÷ 2 = 3
- 45 − 3 = 42
4.42 + 4 × (6 − 5)
Answer: 20
- Brackets: 6 − 5 = 1
- Index: 42 = 16
- Multiply: 4 × 1 = 4
- 16 + 4 = 20
5.5 × 9 − 5 × 4
Answer: 25
- 5 × 9 = 45 and 5 × 4 = 20
- 45 − 20 = 25
6.(7 + 6)2 ÷ 13
Answer: 13
- Brackets: 7 + 6 = 13
- Index: 132 = 169
- 169 ÷ 13 = 13
7.92 + 8 × (5 − 3)
Answer: 97
- Brackets: 5 − 3 = 2
- Index: 92 = 81
- Multiply: 8 × 2 = 16
- 81 + 16 = 97
8.32 + 4 × (9 − 4)
Answer: 29
- Brackets: 9 − 4 = 5
- Index: 32 = 9
- Multiply: 4 × 5 = 20
- 9 + 20 = 29
9.(4 + 3)2 ÷ 7
Answer: 7
- Brackets: 4 + 3 = 7
- Index: 72 = 49
- 49 ÷ 7 = 7
10.(7 + 9)2 ÷ 16
Answer: 16
- Brackets: 7 + 9 = 16
- Index: 162 = 256
- 256 ÷ 16 = 16
11.92 + 3 × (4 − 3)
Answer: 84
- Brackets: 4 − 3 = 1
- Index: 92 = 81
- Multiply: 3 × 1 = 3
- 81 + 3 = 84
12.(2 + 2)2 ÷ 4
Answer: 4
- Brackets: 2 + 2 = 4
- Index: 42 = 16
- 16 ÷ 4 = 4
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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