Year 9 Order of Operations (BODMAS) Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 9 order of operations worksheet.
Year 9 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 × (3 − 5)
Answer: 52
- Brackets: 3 − 5 = (−2)
- Index: 82 = 64
- Multiply: 6 × (−2) = (−12)
- 64 − 12 = 52
2.(7 + 8)2 ÷ 15
Answer: 15
- Brackets: 7 + 8 = 15
- Index: 152 = 225
- 225 ÷ 15 = 15
3.39 − 14 ÷ 2
Answer: 32
- Divide first: 14 ÷ 2 = 7
- 39 − 7 = 32
4.15 − 18 ÷ 2
Answer: 6
- Divide first: 18 ÷ 2 = 9
- 15 − 9 = 6
5.5 × 4 − 5 × 5
Answer: −5
- 5 × 4 = 20 and 5 × 5 = 25
- 20 − 25 = −5
6.(8 + 6)2 ÷ 14
Answer: 14
- Brackets: 8 + 6 = 14
- Index: 142 = 196
- 196 ÷ 14 = 14
7.72 + 8 × (3 − 4)
Answer: 41
- Brackets: 3 − 4 = (−1)
- Index: 72 = 49
- Multiply: 8 × (−1) = (−8)
- 49 − 8 = 41
8.92 + 4 × (6 − 5)
Answer: 85
- Brackets: 6 − 5 = 1
- Index: 92 = 81
- Multiply: 4 × 1 = 4
- 81 + 4 = 85
9.52 + 6 × (4 − 2)
Answer: 37
- Brackets: 4 − 2 = 2
- Index: 52 = 25
- Multiply: 6 × 2 = 12
- 25 + 12 = 37
10.42 − 18 ÷ 3
Answer: 36
- Divide first: 18 ÷ 3 = 6
- 42 − 6 = 36
11.3 × 8 − 5 × 4
Answer: 4
- 3 × 8 = 24 and 5 × 4 = 20
- 24 − 20 = 4
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.
Great work. Here's what to try next: