Year 6 Order of Operations (BODMAS) Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 6 order of operations worksheet.
Year 6 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).
1.82 + 6 × (6 − 5)
Answer: 70
- Brackets: 6 − 5 = 1
- Index: 82 = 64
- Multiply: 6 × 1 = 6
- 64 + 6 = 70
2.(6 + 6)2 ÷ 12
Answer: 12
- Brackets: 6 + 6 = 12
- Index: 122 = 144
- 144 ÷ 12 = 12
3.20 − 16 ÷ 2
Answer: 12
- Divide first: 16 ÷ 2 = 8
- 20 − 8 = 12
4.(3 + 9)2 ÷ 12
Answer: 12
- Brackets: 3 + 9 = 12
- Index: 122 = 144
- 144 ÷ 12 = 12
5.(6 + 4)2 ÷ 10
Answer: 10
- Brackets: 6 + 4 = 10
- Index: 102 = 100
- 100 ÷ 10 = 10
6.6 × 7 − 3 × 4
Answer: 30
- 6 × 7 = 42 and 3 × 4 = 12
- 42 − 12 = 30
7.82 + 7 × (9 − 4)
Answer: 99
- Brackets: 9 − 4 = 5
- Index: 82 = 64
- Multiply: 7 × 5 = 35
- 64 + 35 = 99
8.(5 + 9)2 ÷ 14
Answer: 14
- Brackets: 5 + 9 = 14
- Index: 142 = 196
- 196 ÷ 14 = 14
9.6 × 4 − 9 × 4
Answer: −12
- 6 × 4 = 24 and 9 × 4 = 36
- 24 − 36 = −12
10.9 × 5 − 4 × 3
Answer: 33
- 9 × 5 = 45 and 4 × 3 = 12
- 45 − 12 = 33
11.7 × 8 − 4 × 4
Answer: 40
- 7 × 8 = 56 and 4 × 4 = 16
- 56 − 16 = 40
12.(8 + 9)2 ÷ 17
Answer: 17
- Brackets: 8 + 9 = 17
- Index: 172 = 289
- 289 ÷ 17 = 17
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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