6th Grade Order of Operations Worksheets - Free Printable
Educational worksheet: 6th Grade Order of Operations Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: 6th Grade Order of Operations Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: 6th Grade Order of Operations Worksheets
We are given a worksheet titled “ORDER OF OPERATIONS 6.1” with 20 problems. For each, we must evaluate the expression using the correct order of operations (PEMDAS/BODMAS):
> Parentheses → Exponents → Multiplication & Division (left to right) → Addition & Subtraction (left to right)
Let’s solve each problem one by one and select the correct answer from options A, B, or C.
---
- Multiply first: 2 × 5 = 10
- Then subtract: 14 – 10 = 4
✔ Correct Answer: A
---
- Multiply left to right: 3×4=12, 2×5=10
- Subtract: 12 – 10 = 2
✔ Correct Answer: B
---
- Multiply first: 3×4=12
- Then add left to right: 2 + 12 = 14; 14 + 5 = 19
✔ Correct Answer: B
---
- Multiply: 7×3=21
- Left to right: 24 – 21 = 3; 3 + 1 = 4
✔ Correct Answer: A
---
- Divide first: 20÷2=10
- Add: 10 + 3 = 13
✔ Correct Answer: C
---
- Multiply: 4×10=40
- Left to right: 15 + 40 = 55; 55 – 5 = 50
✔ Correct Answer: B
---
- Multiply: 3×2=6
- Left to right: 10 – 7 = 3; 3 + 6 = 9
✔ Correct Answer: A
---
- Divide: 9÷3=3
- Left to right: 2 + 3 = 5; 5 + 6 = 11
✔ Correct Answer: C
---
- Multiply and divide left to right:
- 3×4=12
- 12÷2=6
- Then subtract: 20 – 6 = 14
✔ Correct Answer: A
---
- Divide and multiply left to right:
- 30÷5=6
- 6×3=18
- Add: 18 + 6 = 24
✔ Correct Answer: C
---
- Parentheses: 9–5=4
- Multiply: 3×4=12
- Add: 12 + 6 = 18
✔ Correct Answer: B
---
- Parentheses: 6–3=3
- Multiply left to right: 4×3=12; 12×5= 60
✔ Correct Answer: C
---
- Inside parentheses: multiply first → 4×2=8; then 3+8=11
- Subtract: 12 – 11 = 1
✔ Correct Answer: A
---
- Parentheses: 7+3=10; 12–5=7
- Multiply: 10×7= 70
✔ Correct Answer: B
---
- Parentheses: 15–11=4
- Divide: 12÷4=3
- Add: 18 + 3 = 21
✔ Correct Answer: A
---
- Parentheses: 4+5=9; 9–3=6
- Multiply: ½ × 6 = 3
✔ Correct Answer: B
---
- Multiply and divide left to right:
- 4×5=20
- 12÷2=6
- Subtract: 20 – 6 = 14
✔ Correct Answer: C
---
- Divide: 20÷4=5
- Left to right: 8 + 5 = 13; 13 + 6 = 19
✔ Correct Answer: C
---
- Inside parentheses: multiply first → 5×2=10; then 12–10=2
- Multiply: 3×2= 6
✔ Correct Answer: A
---
- Parentheses: 30–12=18; 9–3=6
- Divide: 18 ÷ 6 = 3
✔ Correct Answer: B
---
## ✔ Final Answers Summary:
| Problem | Answer |
|---------|--------|
| 1 | A |
| 2 | B |
| 3 | B |
| 4 | A |
| 5 | C |
| 6 | B |
| 7 | A |
| 8 | C |
| 9 | A |
| 10 | C |
| 11 | B |
| 12 | C |
| 13 | A |
| 14 | B |
| 15 | A |
| 16 | B |
| 17 | C |
| 18 | C |
| 19 | A |
| 20 | B |
You can now circle these letters on your worksheet! Let me know if you’d like a printable version or step-by-step work for any specific problem.
> Parentheses → Exponents → Multiplication & Division (left to right) → Addition & Subtraction (left to right)
Let’s solve each problem one by one and select the correct answer from options A, B, or C.
---
1) 14 – 2 × 5
- Multiply first: 2 × 5 = 10
- Then subtract: 14 – 10 = 4
✔ Correct Answer: A
---
2) 3 × 4 – 2 × 5
- Multiply left to right: 3×4=12, 2×5=10
- Subtract: 12 – 10 = 2
✔ Correct Answer: B
---
3) 2 + 3 × 4 + 5
- Multiply first: 3×4=12
- Then add left to right: 2 + 12 = 14; 14 + 5 = 19
✔ Correct Answer: B
---
4) 24 – 7 × 3 + 1
- Multiply: 7×3=21
- Left to right: 24 – 21 = 3; 3 + 1 = 4
✔ Correct Answer: A
---
5) 20 ÷ 2 + 3
- Divide first: 20÷2=10
- Add: 10 + 3 = 13
✔ Correct Answer: C
---
6) 15 + 4 × 10 – 5
- Multiply: 4×10=40
- Left to right: 15 + 40 = 55; 55 – 5 = 50
✔ Correct Answer: B
---
7) 10 – 7 + 3 × 2
- Multiply: 3×2=6
- Left to right: 10 – 7 = 3; 3 + 6 = 9
✔ Correct Answer: A
---
8) 2 + 9 ÷ 3 + 6
- Divide: 9÷3=3
- Left to right: 2 + 3 = 5; 5 + 6 = 11
✔ Correct Answer: C
---
9) 20 – 3 × 4 ÷ 2
- Multiply and divide left to right:
- 3×4=12
- 12÷2=6
- Then subtract: 20 – 6 = 14
✔ Correct Answer: A
---
10) 30 ÷ 5 × 3 + 6
- Divide and multiply left to right:
- 30÷5=6
- 6×3=18
- Add: 18 + 6 = 24
✔ Correct Answer: C
---
11) 3 × (9 – 5) + 6
- Parentheses: 9–5=4
- Multiply: 3×4=12
- Add: 12 + 6 = 18
✔ Correct Answer: B
---
12) 4 × (6 – 3) × 5
- Parentheses: 6–3=3
- Multiply left to right: 4×3=12; 12×5= 60
✔ Correct Answer: C
---
13) 12 – (3 + 4 × 2)
- Inside parentheses: multiply first → 4×2=8; then 3+8=11
- Subtract: 12 – 11 = 1
✔ Correct Answer: A
---
14) (7 + 3) × (12 – 5)
- Parentheses: 7+3=10; 12–5=7
- Multiply: 10×7= 70
✔ Correct Answer: B
---
15) 18 + 12 ÷ (15 – 11)
- Parentheses: 15–11=4
- Divide: 12÷4=3
- Add: 18 + 3 = 21
✔ Correct Answer: A
---
16) ½ × (4 + 5 – 3)
- Parentheses: 4+5=9; 9–3=6
- Multiply: ½ × 6 = 3
✔ Correct Answer: B
---
17) 4 × 5 – 12 ÷ 2
- Multiply and divide left to right:
- 4×5=20
- 12÷2=6
- Subtract: 20 – 6 = 14
✔ Correct Answer: C
---
18) 8 + 20 ÷ 4 + 6
- Divide: 20÷4=5
- Left to right: 8 + 5 = 13; 13 + 6 = 19
✔ Correct Answer: C
---
19) 3 × (12 – 5 × 2)
- Inside parentheses: multiply first → 5×2=10; then 12–10=2
- Multiply: 3×2= 6
✔ Correct Answer: A
---
20) (30 – 12) ÷ (9 – 3)
- Parentheses: 30–12=18; 9–3=6
- Divide: 18 ÷ 6 = 3
✔ Correct Answer: B
---
## ✔ Final Answers Summary:
| Problem | Answer |
|---------|--------|
| 1 | A |
| 2 | B |
| 3 | B |
| 4 | A |
| 5 | C |
| 6 | B |
| 7 | A |
| 8 | C |
| 9 | A |
| 10 | C |
| 11 | B |
| 12 | C |
| 13 | A |
| 14 | B |
| 15 | A |
| 16 | B |
| 17 | C |
| 18 | C |
| 19 | A |
| 20 | B |
You can now circle these letters on your worksheet! Let me know if you’d like a printable version or step-by-step work for any specific problem.
Parent Tip: Review the logic above to help your child master the concept of free printable math worksheets bedmas.
