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Year 8 Order of Operations (BODMAS) Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 8 order of operations worksheet.

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Year 8 · Mathematics · Order of Operations

Year 8 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).

1.6 × 7 − 3 × 4

Answer: 30

  1. 6 × 7 = 42 and 3 × 4 = 12
  2. 42 − 12 = 30
2.51 − 8 ÷ 4

Answer: 49

  1. Divide first: 8 ÷ 4 = 2
  2. 51 − 2 = 49
3.5 × 9 − 3 × 4

Answer: 33

  1. 5 × 9 = 45 and 3 × 4 = 12
  2. 45 − 12 = 33
4.(9 + 6)2 ÷ 15

Answer: 15

  1. Brackets: 9 + 6 = 15
  2. Index: 152 = 225
  3. 225 ÷ 15 = 15
5.(9 + 2)2 ÷ 11

Answer: 11

  1. Brackets: 9 + 2 = 11
  2. Index: 112 = 121
  3. 121 ÷ 11 = 11
6.7 × 6 − 7 × 5

Answer: 7

  1. 7 × 6 = 42 and 7 × 5 = 35
  2. 42 − 35 = 7
7.42 + 6 × (3 − 5)

Answer: 4

  1. Brackets: 3 − 5 = (−2)
  2. Index: 42 = 16
  3. Multiply: 6 × (−2) = (−12)
  4. 16 − 12 = 4
8.4 × 4 − 9 × 4

Answer: −20

  1. 4 × 4 = 16 and 9 × 4 = 36
  2. 16 − 36 = −20
9.44 − 16 ÷ 2

Answer: 36

  1. Divide first: 16 ÷ 2 = 8
  2. 44 − 8 = 36
10.52 + 3 × (3 − 5)

Answer: 19

  1. Brackets: 3 − 5 = (−2)
  2. Index: 52 = 25
  3. Multiply: 3 × (−2) = (−6)
  4. 25 − 6 = 19
11.63 − 45 ÷ 5

Answer: 54

  1. Divide first: 45 ÷ 5 = 9
  2. 63 − 9 = 54
12.23 − 21 ÷ 3

Answer: 16

  1. Divide first: 21 ÷ 3 = 7
  2. 23 − 7 = 16
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