This set of worksheets is designed to help students explore prime numbers, square numbers and the patterns they form. They will investigate the properties of numbers, use prime factors to create new numbers and apply conjectures to discover unique number relationships.

How to Complete

1. Section 1 & 2: Students identify square numbers, correct statements about them and record examples.
2. Section 3: Students colour code prime and square numbers on number charts and describe patterns they notice.
3. Section 4: Students multiply prime numbers and record the product’s factors.
4. Sections 5-8: Students answer conjecture-based questions to deepen understanding of factors and number properties.

Additional Tips

1. Before starting, review the definitions of prime and square numbers to ensure understanding.
2. Encourage students to explain their reasoning in full for conjecture-based tasks.
3. Provide time for students to share and compare their patterns and findings with their peers.

Extension Ideas

1. Create Your Own Patterns: Challenge students to create a custom chart with different ranges and identify primes and squares.
2. Prime Factorisation Practice: Extend the experimentation with primes by including larger primes like 7 or 11.