MathematicsFreePrintable

Order of Operations Worksheet

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Order of Operations Worksheet worksheet preview

Order of Operations Worksheet

GEMA order of operations illustration

🎯 WALT: We Are Learning To

Understand the importance of order of operations and apply the GEMA rule correctly.

Success Criteria:

✓ I can explain why order of operations is necessary
✓ I can use GEMA (Grouped, Exponents, Multiplicative, Additive) to solve expressions
✓ I can show my working step by step

📚 Part 1: Understanding GEMA

1. What does each letter in GEMA stand for?

G = _________________ (brackets, parentheses)

E = _________________ (powers, indices)

M = _________________ (multiplication and division)

A = _________________ (addition and subtraction)

2. Why is the order of operations important in mathematics?
3. Circle the operation you would do FIRST in each expression:

a) 5 + 3 × 2 Operations: + ×

b) (4 + 6) ÷ 2 Operations: + ÷ ( )

c) 2³ - 4 × 1 Operations: ³ - ×

✏️ Part 2: Solving Expressions

4. Solve these expressions step by step. Show your working:

a) 8 + 4 × 3

b) (12 - 4) ÷ 2

c) 3² + 5 × 2

5. Challenge Problem: 2 × (6 + 4) - 3²
6. Create your own expression using brackets, an exponent, and two different operations. Then solve it:

My expression: _________________________________

7. Explain in your own words why 2 + 3 × 4 equals 14, not 20:

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