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

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

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Year 7 · Mathematics · Order of Operations

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

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

1.(7 + 9)2 ÷ 16

Answer: 16

  1. Brackets: 7 + 9 = 16
  2. Index: 162 = 256
  3. 256 ÷ 16 = 16
2.(9 + 8)2 ÷ 17

Answer: 17

  1. Brackets: 9 + 8 = 17
  2. Index: 172 = 289
  3. 289 ÷ 17 = 17
3.(9 + 2)2 ÷ 11

Answer: 11

  1. Brackets: 9 + 2 = 11
  2. Index: 112 = 121
  3. 121 ÷ 11 = 11
4.8 × 6 − 6 × 2

Answer: 36

  1. 8 × 6 = 48 and 6 × 2 = 12
  2. 48 − 12 = 36
5.32 − 16 ÷ 2

Answer: 24

  1. Divide first: 16 ÷ 2 = 8
  2. 32 − 8 = 24
6.80 − 40 ÷ 5

Answer: 72

  1. Divide first: 40 ÷ 5 = 8
  2. 80 − 8 = 72
7.14 − 12 ÷ 3

Answer: 10

  1. Divide first: 12 ÷ 3 = 4
  2. 14 − 4 = 10
8.69 − 30 ÷ 5

Answer: 63

  1. Divide first: 30 ÷ 5 = 6
  2. 69 − 6 = 63
9.(5 + 4)2 ÷ 9

Answer: 9

  1. Brackets: 5 + 4 = 9
  2. Index: 92 = 81
  3. 81 ÷ 9 = 9
10.44 − 6 ÷ 3

Answer: 42

  1. Divide first: 6 ÷ 3 = 2
  2. 44 − 2 = 42
11.5 × 3 − 4 × 5

Answer: −5

  1. 5 × 3 = 15 and 4 × 5 = 20
  2. 15 − 20 = −5
12.22 + 7 × (8 − 5)

Answer: 25

  1. Brackets: 8 − 5 = 3
  2. Index: 22 = 4
  3. Multiply: 7 × 3 = 21
  4. 4 + 21 = 25
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