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.
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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.