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6th Grade Order of Operations Worksheets - Free Printable

6th Grade Order of Operations Worksheets

Educational worksheet: 6th Grade Order of Operations Worksheets. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: 6th Grade Order of Operations Worksheets
Explanation:
We need to evaluate each expression using the order of operations (PEMDAS/BODMAS):
1. Parentheses first
2. Exponents (none here)
3. Multiplication and Division (left to right)
4. Addition and Subtraction (left to right)

Let’s go one by one and check which answer (A, B, or C) is correct.

---

1) $14 - 2 \times 5$
→ Multiply first: $2 \times 5 = 10$
→ Then: $14 - 10 = 4$
A = 4 → Correct

2) $3 \times 4 - 2 \times 5$
→ $3 \times 4 = 12$, $2 \times 5 = 10$
→ $12 - 10 = 2$
B = 2 → Correct

3) $2 + 3 \times 4 + 5$
→ $3 \times 4 = 12$
→ $2 + 12 + 5 = 19$
B = 19 → Correct

4) $24 - 7 \times 3 + 1$
→ $7 \times 3 = 21$
→ $24 - 21 + 1 = 3 + 1 = 4$
A = 4 → Correct

5) $20 \div 2 + 3$
→ $20 \div 2 = 10$
→ $10 + 3 = 13$
C = 13 → Correct

6) $15 + 4 \times 10 - 5$
→ $4 \times 10 = 40$
→ $15 + 40 = 55$, then $55 - 5 = 50$
B = 50 → Correct

7) $10 - 7 + 3 \times 2$
→ $3 \times 2 = 6$
→ $10 - 7 = 3$, then $3 + 6 = 9$
A = 9 → Correct

8) $2 + 9 \div 3 + 6$
→ $9 \div 3 = 3$
→ $2 + 3 + 6 = 11$
C = 11 → Correct

9) $20 - 3 \times 4 \div 2$
→ $3 \times 4 = 12$, then $12 \div 2 = 6$
→ $20 - 6 = 14$
A = 14 → Correct

10) $30 \div 5 \times 3 + 6$
→ $30 \div 5 = 6$, then $6 \times 3 = 18$
→ $18 + 6 = 24$
C = 24 → Correct

11) $3 \times (9 - 5) + 6$
→ Parentheses: $9 - 5 = 4$
→ $3 \times 4 = 12$, then $12 + 6 = 18$
B = 18 → Correct

12) $4 \times (6 - 3) \times 5$
→ $6 - 3 = 3$
→ $4 \times 3 = 12$, then $12 \times 5 = 60$
C = 60 → Correct

13) $12 - (3 + 4 \times 2)$
→ Inside parentheses: $4 \times 2 = 8$, then $3 + 8 = 11$
→ $12 - 11 = 1$
A = 1 → Correct

14) $(7 + 3) \times (12 - 5)$
→ $7 + 3 = 10$, $12 - 5 = 7$
→ $10 \times 7 = 70$
B = 70 → Correct

15) $18 + 12 \div (15 - 11)$
→ $15 - 11 = 4$
→ $12 \div 4 = 3$
→ $18 + 3 = 21$
A = 21 → Correct

16) $\frac{1}{2} \times (4 + 5 - 3)$
→ Inside: $4 + 5 = 9$, $9 - 3 = 6$
→ $\frac{1}{2} \times 6 = 3$
B = 3 → Correct

17) $4 \times 5 - 12 \div 2$
→ $4 \times 5 = 20$, $12 \div 2 = 6$
→ $20 - 6 = 14$
C = 14 → Correct

18) $8 + 20 \div 4 + 6$
→ $20 \div 4 = 5$
→ $8 + 5 + 6 = 19$
C = 19 → Correct

19) $3 \times (12 - 5 \times 2)$
→ Inside: $5 \times 2 = 10$, then $12 - 10 = 2$
→ $3 \times 2 = 6$
A = 6 → Correct

20) $(30 - 12) \div (9 - 3)$
→ $30 - 12 = 18$, $9 - 3 = 6$
→ $18 \div 6 = 3$
B = 3 → Correct

All answers match the correct choices.

Final 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
Parent Tip: Review the logic above to help your child master the concept of pemdas practice worksheet.
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