6th Grade Order of Operations (PEMDAS) Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 6th Grade order of operations worksheet.
6th Grade Order of Operations (PEMDAS) Worksheet — Level 3 — Answers
Parentheses, then Exponents, then Multiplication/Division (left to right), then Addition/Subtraction (left to right).
1.4 × 5 − 4 × 5
Answer: 0
- 4 × 5 = 20 and 4 × 5 = 20
- 20 − 20 = 0
2.43 − 32 ÷ 4
Answer: 35
- Divide first: 32 ÷ 4 = 8
- 43 − 8 = 35
3.32 + 2 × (4 − 2)
Answer: 13
- Parentheses: 4 − 2 = 2
- Exponent: 32 = 9
- Multiply: 2 × 2 = 4
- 9 + 4 = 13
4.32 − 16 ÷ 2
Answer: 24
- Divide first: 16 ÷ 2 = 8
- 32 − 8 = 24
5.54 − 18 ÷ 2
Answer: 45
- Divide first: 18 ÷ 2 = 9
- 54 − 9 = 45
6.79 − 21 ÷ 3
Answer: 72
- Divide first: 21 ÷ 3 = 7
- 79 − 7 = 72
7.22 + 2 × (9 − 2)
Answer: 18
- Parentheses: 9 − 2 = 7
- Exponent: 22 = 4
- Multiply: 2 × 7 = 14
- 4 + 14 = 18
8.62 + 2 × (6 − 4)
Answer: 40
- Parentheses: 6 − 4 = 2
- Exponent: 62 = 36
- Multiply: 2 × 2 = 4
- 36 + 4 = 40
9.27 − 8 ÷ 4
Answer: 25
- Divide first: 8 ÷ 4 = 2
- 27 − 2 = 25
10.6 × 8 − 6 × 4
Answer: 24
- 6 × 8 = 48 and 6 × 4 = 24
- 48 − 24 = 24
11.(3 + 8)2 ÷ 11
Answer: 11
- Parentheses: 3 + 8 = 11
- Exponent: 112 = 121
- 121 ÷ 11 = 11
12.8 × 8 − 2 × 3
Answer: 58
- 8 × 8 = 64 and 2 × 3 = 6
- 64 − 6 = 58
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.