6th Grade Order of Operations (PEMDAS) Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 6th Grade order of operations worksheet.
6th Grade Order of Operations (PEMDAS) Worksheet — Level 3 — Practice Set 3 — Answers
Parentheses, then Exponents, then Multiplication/Division (left to right), then Addition/Subtraction (left to right).
1.9 × 4 − 2 × 5
Answer: 26
- 9 × 4 = 36 and 2 × 5 = 10
- 36 − 10 = 26
2.6 × 3 − 3 × 4
Answer: 6
- 6 × 3 = 18 and 3 × 4 = 12
- 18 − 12 = 6
3.6 × 5 − 4 × 2
Answer: 22
- 6 × 5 = 30 and 4 × 2 = 8
- 30 − 8 = 22
4.58 − 8 ÷ 4
Answer: 56
- Divide first: 8 ÷ 4 = 2
- 58 − 2 = 56
5.9 × 4 − 6 × 3
Answer: 18
- 9 × 4 = 36 and 6 × 3 = 18
- 36 − 18 = 18
6.9 × 4 − 2 × 3
Answer: 30
- 9 × 4 = 36 and 2 × 3 = 6
- 36 − 6 = 30
7.9 × 3 − 8 × 3
Answer: 3
- 9 × 3 = 27 and 8 × 3 = 24
- 27 − 24 = 3
8.(7 + 9)2 ÷ 16
Answer: 16
- Parentheses: 7 + 9 = 16
- Exponent: 162 = 256
- 256 ÷ 16 = 16
9.25 − 15 ÷ 3
Answer: 20
- Divide first: 15 ÷ 3 = 5
- 25 − 5 = 20
10.57 − 40 ÷ 5
Answer: 49
- Divide first: 40 ÷ 5 = 8
- 57 − 8 = 49
11.22 + 7 × (9 − 5)
Answer: 32
- Parentheses: 9 − 5 = 4
- Exponent: 22 = 4
- Multiply: 7 × 4 = 28
- 4 + 28 = 32
12.9 × 8 − 4 × 5
Answer: 52
- 9 × 8 = 72 and 4 × 5 = 20
- 72 − 20 = 52
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.