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It looks like you’ve uploaded an "Order of Operations Puzzle" worksheet. The problems focus on evaluating expressions using the correct order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right)).

Let’s walk through the worksheet’s problems:

1. **15 - 3 × 4 = 3**
   - The student wrote: \( 15 - 12 = 3 \), which is correct. The order of operations was followed (multiplying before subtracting).

2. **(18 ÷ 4) × 2 = 11**
   - Solution: \( (18 ÷ 4) × 2 = 4.5 × 2 = 9 \), but the student circled this as correct even though the final answer isn't 11.

3. **20 - 8 + 3 = 9**
   - This one looks fine: \( 20 - 8 = 12 \) and then \( 12 + 3 = 15 \), so the answer is **15**, not 9. It was evaluated incorrectly.

4. **56 ÷ 8 - 1 = 6**
   - \( 56 ÷ 8 = 7 \), and \( 7 - 1 = 6 \), which is correct.

5. **20 + 10 × 2 = 4**
   - The student incorrectly evaluated \( 20 + 10 × 2 = 4 \), which is wrong. The correct solution should follow multiplication first:
     - \( 10 × 2 = 20 \), then \( 20 + 20 = 40 \), not 4.

6. **(7 × 5) ÷ 2 = 49**
   - Evaluating inside parentheses: \( 7 × 5 = 35 \), then \( 35 ÷ 2 = 17.5 \), not 49. The answer provided is incorrect.

7. **5 + 8 × 2 - 4 = 22**
   - Correctly solved:
     - \( 8 × 2 = 16 \), then \( 5 + 16 = 21 \), and finally \( 21 - 4 = 17 \), not 22.

8. **36 ÷ 6 × 2 + 9 = 12**
   - The correct order should be division and multiplication first:
     - \( 36 ÷ 6 = 6 \), then \( 6 × 2 = 12 \), and \( 12 + 9 = 21 \), not 12. The answer is incorrect.

9. **4 × 10 ÷ 3 + 2 = 8**
   - The student's scratch work shows \( 40 ÷ 3 = 13.33 \), so the final answer should be:
     - \( 13.33 + 2 = 15.33 \), which does not equal 8. The answer is incorrect.

10. **43 - 4 × 4 + 8 = 35**
    - Correctly evaluated:
      - \( 4 × 4 = 16 \), then \( 43 - 16 = 27 \), and \( 27 + 8 = 35 \), which is correct.

11. **16 + 21 - 3 × 6 = 19**
    - Multiplication first: \( 3 × 6 = 18 \), then \( 16 + 21 = 37 \), and \( 37 - 18 = 19 \), which is correct.

12. **11 + 10 - 4 × 9 = 65**
    - The correct answer is:
      - \( 4 × 9 = 36 \), then \( 11 + 10 = 21 \), and \( 21 - 36 = -15 \), so it does not equal 65. This is incorrect.

Would you like to go into more detail on any specific question?

Here are 5 related questions to practice:
1. How do you handle parentheses in expressions like \((2 + 3) \times 4\)?
2. What’s the result of \( 24 \div 4 \times 3 + 2\)?
3. If an equation has both addition and subtraction, which one should be done first?
4. How do you solve \( 36 + 18 \div 6 - 5\)?
5. Can you explain why \( 7 + 3 \times 2 - 1 = 12 \)?

**Tip:** Always solve any operations inside parentheses first, then move on to exponents, and continue following the PEMDAS rule step by step!

Order of Operations Puzzle #1 with various arithmetic expressions to evaluate.

This worksheet includes problems requiring the correct use of the order of operations (PEMDAS) to solve arithmetic expressions. Perfect for students in Grades 5-7 to strengthen their understanding of basic arithmetic rules.

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