6th Grade Order of Operations (PEMDAS) Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers
Parentheses, then Exponents, then Multiplication/Division (left to right), then Addition/Subtraction (left to right).
1.7 × 3 − 4 × 3
Answer: 9
- 7 × 3 = 21 and 4 × 3 = 12
- 21 − 12 = 9
2.(5 + 8)2 ÷ 13
Answer: 13
- Parentheses: 5 + 8 = 13
- Exponent: 132 = 169
- 169 ÷ 13 = 13
3.59 − 9 ÷ 3
Answer: 56
- Divide first: 9 ÷ 3 = 3
- 59 − 3 = 56
4.(9 + 3)2 ÷ 12
Answer: 12
- Parentheses: 9 + 3 = 12
- Exponent: 122 = 144
- 144 ÷ 12 = 12
5.35 − 25 ÷ 5
Answer: 30
- Divide first: 25 ÷ 5 = 5
- 35 − 5 = 30
6.21 − 10 ÷ 2
Answer: 16
- Divide first: 10 ÷ 2 = 5
- 21 − 5 = 16
7.(4 + 4)2 ÷ 8
Answer: 8
- Parentheses: 4 + 4 = 8
- Exponent: 82 = 64
- 64 ÷ 8 = 8
8.5 × 4 − 4 × 2
Answer: 12
- 5 × 4 = 20 and 4 × 2 = 8
- 20 − 8 = 12
9.92 + 3 × (9 − 4)
Answer: 96
- Parentheses: 9 − 4 = 5
- Exponent: 92 = 81
- Multiply: 3 × 5 = 15
- 81 + 15 = 96
10.32 + 4 × (5 − 4)
Answer: 13
- Parentheses: 5 − 4 = 1
- Exponent: 32 = 9
- Multiply: 4 × 1 = 4
- 9 + 4 = 13
11.(9 + 5)2 ÷ 14
Answer: 14
- Parentheses: 9 + 5 = 14
- Exponent: 142 = 196
- 196 ÷ 14 = 14
12.(7 + 4)2 ÷ 11
Answer: 11
- Parentheses: 7 + 4 = 11
- Exponent: 112 = 121
- 121 ÷ 11 = 11
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.