6th Grade Order of Operations (PEMDAS) Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers
Parentheses, then Exponents, then Multiplication/Division (left to right), then Addition/Subtraction (left to right).
1.59 − 25 ÷ 5
Answer: 54
- Divide first: 25 ÷ 5 = 5
- 59 − 5 = 54
2.(2 + 9)2 ÷ 11
Answer: 11
- Parentheses: 2 + 9 = 11
- Exponent: 112 = 121
- 121 ÷ 11 = 11
3.36 − 30 ÷ 5
Answer: 30
- Divide first: 30 ÷ 5 = 6
- 36 − 6 = 30
4.42 + 8 × (7 − 3)
Answer: 48
- Parentheses: 7 − 3 = 4
- Exponent: 42 = 16
- Multiply: 8 × 4 = 32
- 16 + 32 = 48
5.14 − 10 ÷ 2
Answer: 9
- Divide first: 10 ÷ 2 = 5
- 14 − 5 = 9
6.8 × 9 − 6 × 3
Answer: 54
- 8 × 9 = 72 and 6 × 3 = 18
- 72 − 18 = 54
7.32 + 3 × (9 − 3)
Answer: 27
- Parentheses: 9 − 3 = 6
- Exponent: 32 = 9
- Multiply: 3 × 6 = 18
- 9 + 18 = 27
8.92 + 7 × (2 − 2)
Answer: 81
- Parentheses: 2 − 2 = 0
- Exponent: 92 = 81
- Multiply: 7 × 0 = 0
- 81 + 0 = 81
9.7 × 3 − 7 × 5
Answer: −14
- 7 × 3 = 21 and 7 × 5 = 35
- 21 − 35 = −14
10.(2 + 8)2 ÷ 10
Answer: 10
- Parentheses: 2 + 8 = 10
- Exponent: 102 = 100
- 100 ÷ 10 = 10
11.(7 + 8)2 ÷ 15
Answer: 15
- Parentheses: 7 + 8 = 15
- Exponent: 152 = 225
- 225 ÷ 15 = 15
12.82 + 3 × (2 − 2)
Answer: 64
- Parentheses: 2 − 2 = 0
- Exponent: 82 = 64
- Multiply: 3 × 0 = 0
- 64 + 0 = 64
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.