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Year 8 Order of Operations (BODMAS) Worksheet — Level 3 — Practice Set 4 — 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 — Practice Set 4 — Answers

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

1.(5 + 8)2 ÷ 13

Answer: 13

  1. Brackets: 5 + 8 = 13
  2. Index: 132 = 169
  3. 169 ÷ 13 = 13
2.52 + 5 × (7 − 2)

Answer: 50

  1. Brackets: 7 − 2 = 5
  2. Index: 52 = 25
  3. Multiply: 5 × 5 = 25
  4. 25 + 25 = 50
3.72 + 6 × (8 − 3)

Answer: 79

  1. Brackets: 8 − 3 = 5
  2. Index: 72 = 49
  3. Multiply: 6 × 5 = 30
  4. 49 + 30 = 79
4.(6 + 2)2 ÷ 8

Answer: 8

  1. Brackets: 6 + 2 = 8
  2. Index: 82 = 64
  3. 64 ÷ 8 = 8
5.72 + 9 × (5 − 3)

Answer: 67

  1. Brackets: 5 − 3 = 2
  2. Index: 72 = 49
  3. Multiply: 9 × 2 = 18
  4. 49 + 18 = 67
6.(4 + 2)2 ÷ 6

Answer: 6

  1. Brackets: 4 + 2 = 6
  2. Index: 62 = 36
  3. 36 ÷ 6 = 6
7.7 − 15 ÷ 5

Answer: 4

  1. Divide first: 15 ÷ 5 = 3
  2. 7 − 3 = 4
8.(4 + 4)2 ÷ 8

Answer: 8

  1. Brackets: 4 + 4 = 8
  2. Index: 82 = 64
  3. 64 ÷ 8 = 8
9.22 + 4 × (4 − 5)

Answer: 0

  1. Brackets: 4 − 5 = (−1)
  2. Index: 22 = 4
  3. Multiply: 4 × (−1) = (−4)
  4. 4 − 4 = 0
10.20 − 16 ÷ 2

Answer: 12

  1. Divide first: 16 ÷ 2 = 8
  2. 20 − 8 = 12
11.9 × 4 − 4 × 5

Answer: 16

  1. 9 × 4 = 36 and 4 × 5 = 20
  2. 36 − 20 = 16
12.67 − 16 ÷ 4

Answer: 63

  1. Divide first: 16 ÷ 4 = 4
  2. 67 − 4 = 63
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