📚 Part 1: Understanding Exponents

1. What does 4³ mean?

4 × 3

4 × 4 × 4

3 × 3 × 3 × 3

4 + 4 + 4

2. Calculate: 2⁴ = __________

Show your working: 2⁴ = _____ × _____ × _____ × _____ = _____

3. Which expression equals 125?

5²

5³

3⁵

25²

4. Complete the pattern:

3¹ = 3, 3² = 9, 3³ = _____, 3⁴ = _____

🔢 Part 2: Order of Operations (GEMA)

Remember GEMA: Grouping, Exponents, Multiplication/Division, Addition/Subtraction

5. Evaluate: 3² + 4 × 2

6. Calculate: (2 + 3)² - 5

7. Solve: 6 × 2³ - 8 ÷ 4

8. Which operation do you do FIRST in this expression: 5 + 2³ × 4?

Addition (5 + 2)

Exponent (2³)

Multiplication (2 × 4)

🏠 Part 3: Real-World Applications

9. A square garden has sides of 4 metres. If you want to create 3 identical square gardens, what is the total area?

Expression: 3 × 4² = _______________ square metres

10. Extension Challenge: A traditional Māori weaving pattern uses squares arranged in layers. If each layer has 5² squares, and there are 2 layers plus 8 additional squares, how many squares are there in total?

Write the expression: ________________________

Calculate the answer: ________________________

11. Explain in your own words why we need to follow the order of operations.

Exponents and Order Operations

Exponents and Order of Operations

📚 Part 1: Understanding Exponents

🔢 Part 2: Order of Operations (GEMA)

🏠 Part 3: Real-World Applications

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

More Maths Worksheets

Proportional Reasoning Practice

Find the Whole Proportionally

Core Scale Factors

Advanced Scale factors

Basic Scale Factors Worksheet

Proportion and Ratios Worksheet

Proportional Reasoning Practice

Proportional Reasoning Practice

Explore more free resources