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Order of Operations Practice

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Order of Operations Practice

Mathematical expressions illustration

📚 WALT: Apply the full order of operations to solve complex expressions

Remember GEMA: Grouped (brackets), Exponents, Multiplication/Division, Addition/Subtraction

Part 1: Basic Order of Operations

1. Calculate: 8 + 3 × 4

Answer: _______

2. Calculate: (12 + 8) ÷ 4

Answer: _______

3. Calculate: 15 - 6 ÷ 2 + 4

Answer: _______

4. Which operation should you do first in: 7 × (9 - 5) + 3²?

7 × 9

9 - 5

Addition at the end

Part 2: Complex Expressions with Exponents

5. Calculate: 2³ + 4 × 5

Answer: _______

6. Calculate: (6 + 4)² ÷ 5 - 8

Answer: _______

7. Real-life problem: Sarah buys 3 packets of biscuits at $4 each, plus a drink for $2. She then gets a $5 discount. Write the expression and solve it.

Expression: ________________________________

Total cost: $______

Part 3: Challenge Problems & Extension

8. Calculate: 3 × (8 - 2²) + 15 ÷ 3

Answer: _______

9. Find the missing number: 4 × (_____ - 3) = 20
10. Extension: Create your own order of operations problem using brackets, exponents, and at least three different operations. Then solve it.

Your expression: ________________________________

Answer: _______

11. Explain in your own words why we need to follow the order of operations. Give an example of what could go wrong if we don't.

🎯 Success Criteria Checklist

Tick each box when you can do it confidently:

I can identify which operation to do first in any expression

I can solve expressions with brackets correctly

I can work with exponents in the correct order

I can explain my reasoning to others

I can create my own order of operations problems

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