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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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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Order of Operations

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

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

1.32 + 5 × (7 − 3)

Answer: 29

  1. Brackets: 7 − 3 = 4
  2. Index: 32 = 9
  3. Multiply: 5 × 4 = 20
  4. 9 + 20 = 29
2.5 × 5 − 5 × 2

Answer: 15

  1. 5 × 5 = 25 and 5 × 2 = 10
  2. 25 − 10 = 15
3.43 − 32 ÷ 4

Answer: 35

  1. Divide first: 32 ÷ 4 = 8
  2. 43 − 8 = 35
4.8 × 3 − 9 × 4

Answer: −12

  1. 8 × 3 = 24 and 9 × 4 = 36
  2. 24 − 36 = −12
5.(7 + 3)2 ÷ 10

Answer: 10

  1. Brackets: 7 + 3 = 10
  2. Index: 102 = 100
  3. 100 ÷ 10 = 10
6.22 + 5 × (3 − 4)

Answer: −1

  1. Brackets: 3 − 4 = (−1)
  2. Index: 22 = 4
  3. Multiply: 5 × (−1) = (−5)
  4. 4 − 5 = −1
7.7 × 9 − 5 × 2

Answer: 53

  1. 7 × 9 = 63 and 5 × 2 = 10
  2. 63 − 10 = 53
8.59 − 12 ÷ 4

Answer: 56

  1. Divide first: 12 ÷ 4 = 3
  2. 59 − 3 = 56
9.42 + 6 × (5 − 3)

Answer: 28

  1. Brackets: 5 − 3 = 2
  2. Index: 42 = 16
  3. Multiply: 6 × 2 = 12
  4. 16 + 12 = 28
10.3 × 5 − 5 × 5

Answer: −10

  1. 3 × 5 = 15 and 5 × 5 = 25
  2. 15 − 25 = −10
11.(9 + 8)2 ÷ 17

Answer: 17

  1. Brackets: 9 + 8 = 17
  2. Index: 172 = 289
  3. 289 ÷ 17 = 17
12.65 − 10 ÷ 5

Answer: 63

  1. Divide first: 10 ÷ 5 = 2
  2. 65 − 2 = 63
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