🎯 WALT: We Are Learning To

Evaluate expressions with integers using the order of operations correctly.

Remember GEMA:

G = Grouped (parentheses) → E = Exponents (powers) → M = Multiplicative (× and ÷) → A = Additive (+ and −)

📚 Part 1: Basic GEMA Practice

1. Evaluate: 5 + 3 × 2

2. Evaluate: 20 − 4 × 3 + 1

3. Evaluate: 15 ÷ 3 + 2 × 4

4. Evaluate: (6 + 4) × 2 − 3

5. Evaluate: 18 ÷ (2 + 1) + 5

🔢 Part 2: Working with Negative Integers

6. Evaluate: −3 + 5 × 2

7. Evaluate: (−4 + 1) × 6 ÷ 2

8. Evaluate: 12 − (−3 + 5) × 2

🚀 Part 3: Challenge Problems

9. Extension: Evaluate: 2³ + (4 − 1) × 5

10. Challenge: Evaluate: [(8 + 2) ÷ 2] × 3 − 4²

Bonus Extension Activity: Create your own GEMA expression using at least 3 different operations. Show your working and answer below:

✅ Answer Key

1. 5 + 3 × 2 = 5 + 6 = 11

2. 20 − 4 × 3 + 1 = 20 − 12 + 1 = 9

3. 15 ÷ 3 + 2 × 4 = 5 + 8 = 13

4. (6 + 4) × 2 − 3 = 10 × 2 − 3 = 20 − 3 = 17

5. 18 ÷ (2 + 1) + 5 = 18 ÷ 3 + 5 = 6 + 5 = 11

6. −3 + 5 × 2 = −3 + 10 = 7

7. (−4 + 1) × 6 ÷ 2 = (−3) × 6 ÷ 2 = −18 ÷ 2 = −9

8. 12 − (−3 + 5) × 2 = 12 − (2) × 2 = 12 − 4 = 8

9. 2³ + (4 − 1) × 5 = 8 + 3 × 5 = 8 + 15 = 23

10. [(8 + 2) ÷ 2] × 3 − 4² = [10 ÷ 2] × 3 − 16 = 5 × 3 − 16 = 15 − 16 = −1

GEMA Order Operations

GEMA Order of Operations

🎯 WALT: We Are Learning To

Remember GEMA:

📚 Part 1: Basic GEMA Practice

🔢 Part 2: Working with Negative Integers

🚀 Part 3: Challenge Problems

✅ Answer Key

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

More Maths Worksheets

Proportion and Ratios Worksheet

Probability Vocabulary Exploration

Formulae Exploration Worksheet

Integer Operations Practice

Tessellation Pattern Exploration

Basic Probability Exploration

Time Duration Problem Cards

Year 4 Math Operations

Explore more free resources