6th Grade Order of Operations Worksheets - Free Printable

Let's solve each expression step by step using the order of operations, often remembered by the acronym PEMDAS:

- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)

We'll go through each problem one by one.

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1) 14 – 2 × 5

- Multiplication first: 2 × 5 = 10
- Then subtraction: 14 – 10 = 4
✔ Answer: A

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2) 3 × 4 – 2 × 5

- Multiplications: 3 × 4 = 12, 2 × 5 = 10
- Then subtraction: 12 – 10 = 2
✔ Answer: B

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3) 2 + 3 × 4 + 5

- Multiplication: 3 × 4 = 12
- Now: 2 + 12 + 5 = 19
✔ Answer: B

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4) 24 – 7 × 3 + 1

- Multiplication: 7 × 3 = 21
- Now: 24 – 21 + 1 = 3 + 1 = 4
✔ Answer: A

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5) 20 ÷ 2 + 3

- Division: 20 ÷ 2 = 10
- Then addition: 10 + 3 = 13
✔ Answer: C

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6) 15 + 4 × 10 – 5

- Multiplication: 4 × 10 = 40
- Now: 15 + 40 – 5 = 55 – 5 = 50
✔ Answer: B

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7) 10 – 7 + 3 × 2

- Multiplication: 3 × 2 = 6
- Now: 10 – 7 + 6 = 3 + 6 = 9
✔ Answer: A

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8) 2 + 9 ÷ 3 + 6

- Division: 9 ÷ 3 = 3
- Now: 2 + 3 + 6 = 11
✔ Answer: C

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9) 20 – 3 × 4 ÷ 2

- Multiplication and division from left to right:
- 3 × 4 = 12
- 12 ÷ 2 = 6
- Now: 20 – 6 = 14
✔ Answer: A

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10) 30 ÷ 5 × 3 + 6

- Division and multiplication left to right:
- 30 ÷ 5 = 6
- 6 × 3 = 18
- Then: 18 + 6 = 24
✔ Answer: C

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11) 3 × (9 – 5) + 6

- Parentheses: 9 – 5 = 4
- Multiplication: 3 × 4 = 12
- Addition: 12 + 6 = 18
✔ Answer: B

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12) 4 × (6 – 3) × 5

- Parentheses: 6 – 3 = 3
- Now: 4 × 3 = 12, then 12 × 5 = 60
✔ Answer: C

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13) 12 – (3 + 4 × 2)

- Inside parentheses: 4 × 2 = 8, then 3 + 8 = 11
- Now: 12 – 11 = 1
✔ Answer: A

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14) (7 + 3) × (12 – 5)

- Parentheses: 7 + 3 = 10, 12 – 5 = 7
- Multiply: 10 × 7 = 70
✔ Answer: B

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15) 18 + 12 ÷ (15 – 11)

- Parentheses: 15 – 11 = 4
- Division: 12 ÷ 4 = 3
- Addition: 18 + 3 = 21
✔ Answer: A

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16) ½ × (4 + 5 – 3)

- Parentheses: 4 + 5 = 9, 9 – 3 = 6
- Multiply: ½ × 6 = 3
✔ Answer: B

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17) 4 × 5 – 12 ÷ 2

- Multiplication: 4 × 5 = 20
- Division: 12 ÷ 2 = 6
- Subtraction: 20 – 6 = 14
✔ Answer: C

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18) 8 + 20 ÷ 4 + 6

- Division: 20 ÷ 4 = 5
- Now: 8 + 5 + 6 = 19
✔ Answer: C

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19) 3 × (12 – 5 × 2)

- Inside parentheses: 5 × 2 = 10, then 12 – 10 = 2
- Multiply: 3 × 2 = 6
✔ Answer: A

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20) (30 – 12) ÷ (9 – 3)

- Parentheses: 30 – 12 = 18, 9 – 3 = 6
- Division: 18 ÷ 6 = 3
✔ Answer: B

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✔ Final Answers Summary:

| Problem | Correct 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 the correct answers on your worksheet based on this solution!

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