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Order Operations Mastery Worksheet

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Order Operations Mastery Worksheet

Mathematical operations illustration

📚 Part 1: GEMA Practice - Multiple Choice

Instructions: Use the GEMA order of operations to solve each expression. Remember: Groupings, Exponents, Multiplicative, Additive.

1. What is the value of 6 + 4 × 2?

20

14

12

16

2. Evaluate: 15 - (3 + 2) × 2

5

20

10

25

3. What is 2³ + 4 × 3?

20

24

36

30

✏️ Part 2: Show Your Working

Instructions: Solve each expression step by step. Show all your working using GEMA order.

4. Level 1: Evaluate 18 ÷ 3 + (7 - 2)

Final answer: ___________

5. Level 2: Evaluate 4² - 8 ÷ 2 + 3 × 2

Final answer: ___________

6. Level 3: Evaluate 5 + 2 × (3² - 1) ÷ 4

Final answer: ___________

7. Challenge: Evaluate 3 × [(8 - 2)² ÷ 9] + 4

Final answer: ___________

🌟 Part 3: Real-World Applications

Instructions: Write an expression for each problem, then solve using GEMA order.

8. Shopping Problem: Sarah buys 3 books at $15 each. She has a $10 discount voucher and must pay 15% GST on the discounted total. How much does she pay in total?

Expression: ________________________________

Sarah pays: $___________

9. Sports Scoring: In a cricket match, Team A scores 4 sixes (6 points each), 8 fours (4 points each), and 12 singles (1 point each). They lose 5 points for penalties. What's their total score?

Expression: ________________________________

Team A's score: ___________

10. Cooking Challenge: A recipe serves 4 people and needs 2 cups of flour. If you're cooking for 6 people and flour costs $3 per cup, but you have a 20% discount, how much will the flour cost?

Expression: ________________________________

Flour cost: $___________

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