Comprehensive math worksheet designed to test students' understanding of the order of operations through multiple-choice questions.

Here are the step-by-step solutions for each problem on the worksheet. Remember to follow the order of operations: do multiplication and division first, then addition and subtraction. If there are parentheses (brackets), solve what is inside them first.

1) $14 - 2 \times 5$
* First, multiply: $2 \times 5 = 10$
* Then subtract: $14 - 10 = 4$
* Answer: A

2) $3 \times 4 - 2 \times 5$
* Multiply the first part: $3 \times 4 = 12$
* Multiply the second part: $2 \times 5 = 10$
* Subtract: $12 - 10 = 2$
* Answer: B

3) $2 + 3 \times 4 + 5$
* First, multiply: $3 \times 4 = 12$
* Now add from left to right: $2 + 12 = 14$
* Then add the last number: $14 + 5 = 19$
* Answer: B

4) $24 - 7 \times 3 + 1$
* First, multiply: $7 \times 3 = 21$
* Subtract: $24 - 21 = 3$
* Add: $3 + 1 = 4$
* Answer: A

5) $20 \div 2 + 3$
* First, divide: $20 \div 2 = 10$
* Add: $10 + 3 = 13$
* Answer: C

6) $15 + 4 \times 10 - 5$
* First, multiply: $4 \times 10 = 40$
* Add: $15 + 40 = 55$
* Subtract: $55 - 5 = 50$
* Answer: B

7) $10 - 7 + 3 \times 2$
* First, multiply: $3 \times 2 = 6$
* Subtract: $10 - 7 = 3$
* Add: $3 + 6 = 9$
* Answer: A

8) $2 + 9 \div 3 + 6$
* First, divide: $9 \div 3 = 3$
* Add the first two numbers: $2 + 3 = 5$
* Add the last number: $5 + 6 = 11$
* Answer: C

9) $20 - 3 \times 4 \div 2$
* Do multiplication and division from left to right.
* Multiply: $3 \times 4 = 12$
* Divide: $12 \div 2 = 6$
* Subtract: $20 - 6 = 14$
* Answer: A

10) $30 \div 5 \times 3 + 6$
* Do division and multiplication from left to right.
* Divide: $30 \div 5 = 6$
* Multiply: $6 \times 3 = 18$
* Add: $18 + 6 = 24$
* Answer: C

11) $3 \times (9 - 5) + 6$
* Solve inside the parentheses first: $9 - 5 = 4$
* Multiply: $3 \times 4 = 12$
* Add: $12 + 6 = 18$
* Answer: B

12) $4 \times (6 - 3) \times 5$
* Solve inside the parentheses first: $6 - 3 = 3$
* Multiply from left to right: $4 \times 3 = 12$
* Multiply again: $12 \times 5 = 60$
* Answer: C

13) $12 - (3 + 4 \times 2)$
* Inside the parentheses, do multiplication first: $4 \times 2 = 8$
* Then add inside the parentheses: $3 + 8 = 11$
* Subtract from the outside number: $12 - 11 = 1$
* Answer: A

14) $(7 + 3) \times (12 - 5)$
* Solve the first set of parentheses: $7 + 3 = 10$
* Solve the second set of parentheses: $12 - 5 = 7$
* Multiply the results: $10 \times 7 = 70$
* Answer: B

15) $18 + 12 \div (15 - 11)$
* Solve inside the parentheses first: $15 - 11 = 4$
* Divide: $12 \div 4 = 3$
* Add: $18 + 3 = 21$
* Answer: A

16) $\frac{1}{2} \times (4 + 5 - 3)$
* Solve inside the parentheses first: $4 + 5 = 9$, then $9 - 3 = 6$
* Multiply by one-half: half of 6 is 3.
* Answer: B

17) $4 \times 5 - 12 \div 2$
* Multiply: $4 \times 5 = 20$
* Divide: $12 \div 2 = 6$
* Subtract: $20 - 6 = 14$
* Answer: C

18) $8 + 20 \div 4 + 6$
* Divide first: $20 \div 4 = 5$
* Add from left to right: $8 + 5 = 13$
* Add the last number: $13 + 6 = 19$
* Answer: C

19) $3 \times (12 - 5 \times 2)$
* Inside the parentheses, do multiplication first: $5 \times 2 = 10$
* Then subtract inside the parentheses: $12 - 10 = 2$
* Multiply by the outside number: $3 \times 2 = 6$
* Answer: A

20) $(30 - 12) \div (9 - 3)$
* Solve the first set of parentheses: $30 - 12 = 18$
* Solve the second set of parentheses: $9 - 3 = 6$
* Divide: $18 \div 6 = 3$
* Answer: B

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