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Year 8 Order of Operations (BODMAS) Worksheet — Level 3 — Practice Set 2 — Answers

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

Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Order of Operations

Year 8 Order of Operations (BODMAS) Worksheet — Level 3 — Practice Set 2 — Answers

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

1.(3 + 2)2 ÷ 5

Answer: 5

  1. Brackets: 3 + 2 = 5
  2. Index: 52 = 25
  3. 25 ÷ 5 = 5
2.6 × 5 − 7 × 5

Answer: −5

  1. 6 × 5 = 30 and 7 × 5 = 35
  2. 30 − 35 = −5
3.9 × 6 − 9 × 2

Answer: 36

  1. 9 × 6 = 54 and 9 × 2 = 18
  2. 54 − 18 = 36
4.60 − 12 ÷ 2

Answer: 54

  1. Divide first: 12 ÷ 2 = 6
  2. 60 − 6 = 54
5.(6 + 7)2 ÷ 13

Answer: 13

  1. Brackets: 6 + 7 = 13
  2. Index: 132 = 169
  3. 169 ÷ 13 = 13
6.6 × 4 − 5 × 2

Answer: 14

  1. 6 × 4 = 24 and 5 × 2 = 10
  2. 24 − 10 = 14
7.30 − 24 ÷ 4

Answer: 24

  1. Divide first: 24 ÷ 4 = 6
  2. 30 − 6 = 24
8.(8 + 6)2 ÷ 14

Answer: 14

  1. Brackets: 8 + 6 = 14
  2. Index: 142 = 196
  3. 196 ÷ 14 = 14
9.52 + 7 × (5 − 4)

Answer: 32

  1. Brackets: 5 − 4 = 1
  2. Index: 52 = 25
  3. Multiply: 7 × 1 = 7
  4. 25 + 7 = 32
10.(9 + 9)2 ÷ 18

Answer: 18

  1. Brackets: 9 + 9 = 18
  2. Index: 182 = 324
  3. 324 ÷ 18 = 18
11.42 + 2 × (3 − 4)

Answer: 14

  1. Brackets: 3 − 4 = (−1)
  2. Index: 42 = 16
  3. Multiply: 2 × (−1) = (−2)
  4. 16 − 2 = 14
12.52 + 3 × (5 − 4)

Answer: 28

  1. Brackets: 5 − 4 = 1
  2. Index: 52 = 25
  3. Multiply: 3 × 1 = 3
  4. 25 + 3 = 28
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