Year 7 Order of Operations (BODMAS) Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 7 order of operations worksheet.
Year 7 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).
1.6 × 4 − 5 × 4
Answer: 4
- 6 × 4 = 24 and 5 × 4 = 20
- 24 − 20 = 4
2.(7 + 9)2 ÷ 16
Answer: 16
- Brackets: 7 + 9 = 16
- Index: 162 = 256
- 256 ÷ 16 = 16
3.25 − 45 ÷ 5
Answer: 16
- Divide first: 45 ÷ 5 = 9
- 25 − 9 = 16
4.(3 + 5)2 ÷ 8
Answer: 8
- Brackets: 3 + 5 = 8
- Index: 82 = 64
- 64 ÷ 8 = 8
5.(8 + 7)2 ÷ 15
Answer: 15
- Brackets: 8 + 7 = 15
- Index: 152 = 225
- 225 ÷ 15 = 15
6.42 − 24 ÷ 4
Answer: 36
- Divide first: 24 ÷ 4 = 6
- 42 − 6 = 36
7.(4 + 6)2 ÷ 10
Answer: 10
- Brackets: 4 + 6 = 10
- Index: 102 = 100
- 100 ÷ 10 = 10
8.3 × 3 − 9 × 3
Answer: −18
- 3 × 3 = 9 and 9 × 3 = 27
- 9 − 27 = −18
9.(5 + 3)2 ÷ 8
Answer: 8
- Brackets: 5 + 3 = 8
- Index: 82 = 64
- 64 ÷ 8 = 8
10.36 − 40 ÷ 5
Answer: 28
- Divide first: 40 ÷ 5 = 8
- 36 − 8 = 28
11.47 − 10 ÷ 2
Answer: 42
- Divide first: 10 ÷ 2 = 5
- 47 − 5 = 42
12.82 + 7 × (4 − 5)
Answer: 57
- Brackets: 4 − 5 = (−1)
- Index: 82 = 64
- Multiply: 7 × (−1) = (−7)
- 64 − 7 = 57
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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