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Year 9 Order of Operations (BODMAS) Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 9 order of operations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Order of Operations

Year 9 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).

1.21 − 27 ÷ 3

Answer: 12

  1. Divide first: 27 ÷ 3 = 9
  2. 21 − 9 = 12
2.(4 + 8)2 ÷ 12

Answer: 12

  1. Brackets: 4 + 8 = 12
  2. Index: 122 = 144
  3. 144 ÷ 12 = 12
3.62 + 3 × (6 − 3)

Answer: 45

  1. Brackets: 6 − 3 = 3
  2. Index: 62 = 36
  3. Multiply: 3 × 3 = 9
  4. 36 + 9 = 45
4.22 − 21 ÷ 3

Answer: 15

  1. Divide first: 21 ÷ 3 = 7
  2. 22 − 7 = 15
5.(6 + 9)2 ÷ 15

Answer: 15

  1. Brackets: 6 + 9 = 15
  2. Index: 152 = 225
  3. 225 ÷ 15 = 15
6.37 − 6 ÷ 3

Answer: 35

  1. Divide first: 6 ÷ 3 = 2
  2. 37 − 2 = 35
7.2 × 6 − 6 × 3

Answer: −6

  1. 2 × 6 = 12 and 6 × 3 = 18
  2. 12 − 18 = −6
8.82 + 5 × (6 − 4)

Answer: 74

  1. Brackets: 6 − 4 = 2
  2. Index: 82 = 64
  3. Multiply: 5 × 2 = 10
  4. 64 + 10 = 74
9.(7 + 2)2 ÷ 9

Answer: 9

  1. Brackets: 7 + 2 = 9
  2. Index: 92 = 81
  3. 81 ÷ 9 = 9
10.(6 + 8)2 ÷ 14

Answer: 14

  1. Brackets: 6 + 8 = 14
  2. Index: 142 = 196
  3. 196 ÷ 14 = 14
11.32 + 7 × (8 − 5)

Answer: 30

  1. Brackets: 8 − 5 = 3
  2. Index: 32 = 9
  3. Multiply: 7 × 3 = 21
  4. 9 + 21 = 30
12.(5 + 4)2 ÷ 9

Answer: 9

  1. Brackets: 5 + 4 = 9
  2. Index: 92 = 81
  3. 81 ÷ 9 = 9
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