Success TutoringWorksheets

Year 7 Order of Operations (BODMAS) Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 7 order of operations worksheet.

Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Order of Operations

Year 7 Order of Operations (BODMAS) Worksheet — Level 3 — Answers

Brackets, then Orders (indices), then Division/Multiplication (left to right), then Addition/Subtraction (left to right).

1.(7 + 5)2 ÷ 12

Answer: 12

  1. Brackets: 7 + 5 = 12
  2. Index: 122 = 144
  3. 144 ÷ 12 = 12
2.20 − 8 ÷ 4

Answer: 18

  1. Divide first: 8 ÷ 4 = 2
  2. 20 − 2 = 18
3.5 × 5 − 9 × 5

Answer: −20

  1. 5 × 5 = 25 and 9 × 5 = 45
  2. 25 − 45 = −20
4.7 × 6 − 8 × 3

Answer: 18

  1. 7 × 6 = 42 and 8 × 3 = 24
  2. 42 − 24 = 18
5.(4 + 7)2 ÷ 11

Answer: 11

  1. Brackets: 4 + 7 = 11
  2. Index: 112 = 121
  3. 121 ÷ 11 = 11
6.15 − 18 ÷ 2

Answer: 6

  1. Divide first: 18 ÷ 2 = 9
  2. 15 − 9 = 6
7.(7 + 7)2 ÷ 14

Answer: 14

  1. Brackets: 7 + 7 = 14
  2. Index: 142 = 196
  3. 196 ÷ 14 = 14
8.82 + 3 × (9 − 2)

Answer: 85

  1. Brackets: 9 − 2 = 7
  2. Index: 82 = 64
  3. Multiply: 3 × 7 = 21
  4. 64 + 21 = 85
9.71 − 21 ÷ 3

Answer: 64

  1. Divide first: 21 ÷ 3 = 7
  2. 71 − 7 = 64
10.(2 + 6)2 ÷ 8

Answer: 8

  1. Brackets: 2 + 6 = 8
  2. Index: 82 = 64
  3. 64 ÷ 8 = 8
11.7 × 7 − 3 × 3

Answer: 40

  1. 7 × 7 = 49 and 3 × 3 = 9
  2. 49 − 9 = 40
12.8 × 6 − 2 × 2

Answer: 44

  1. 8 × 6 = 48 and 2 × 2 = 4
  2. 48 − 4 = 44
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

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.