8th Grade Order of Operations (PEMDAS) Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 8th Grade order of operations worksheet.
8th Grade Order of Operations (PEMDAS) Worksheet — Level 3 — Answers
Parentheses, then Exponents, then Multiplication/Division (left to right), then Addition/Subtraction (left to right).
1.92 + 3 × (4 − 5)
Answer: 78
- Parentheses: 4 − 5 = (−1)
- Exponent: 92 = 81
- Multiply: 3 × (−1) = (−3)
- 81 − 3 = 78
2.8 × 5 − 5 × 5
Answer: 15
- 8 × 5 = 40 and 5 × 5 = 25
- 40 − 25 = 15
3.3 × 2 − 9 × 5
Answer: −39
- 3 × 2 = 6 and 9 × 5 = 45
- 6 − 45 = −39
4.6 × 5 − 3 × 5
Answer: 15
- 6 × 5 = 30 and 3 × 5 = 15
- 30 − 15 = 15
5.(6 + 3)2 ÷ 9
Answer: 9
- Parentheses: 6 + 3 = 9
- Exponent: 92 = 81
- 81 ÷ 9 = 9
6.6 × 5 − 7 × 3
Answer: 9
- 6 × 5 = 30 and 7 × 3 = 21
- 30 − 21 = 9
7.2 × 2 − 4 × 2
Answer: −4
- 2 × 2 = 4 and 4 × 2 = 8
- 4 − 8 = −4
8.4 × 5 − 9 × 4
Answer: −16
- 4 × 5 = 20 and 9 × 4 = 36
- 20 − 36 = −16
9.71 − 24 ÷ 3
Answer: 63
- Divide first: 24 ÷ 3 = 8
- 71 − 8 = 63
10.32 + 6 × (5 − 3)
Answer: 21
- Parentheses: 5 − 3 = 2
- Exponent: 32 = 9
- Multiply: 6 × 2 = 12
- 9 + 12 = 21
11.5 × 5 − 8 × 5
Answer: −15
- 5 × 5 = 25 and 8 × 5 = 40
- 25 − 40 = −15
12.11 − 35 ÷ 5
Answer: 4
- Divide first: 35 ÷ 5 = 7
- 11 − 7 = 4
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.
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