Prime Numbers - Worksheet

This worksheet is a comprehensive resource designed to help students understand and identify prime numbers and their prime factors. The tasks are varied, including fluency, reasoning, and problem-solving activities that cater to different aspects of learning. Students are prompted to list all prime numbers between 10 and 40, which sharpens their ability to recognise primes. In another task, they must find two numbers greater than 40 that have only 2 and 3 as their prime factors, requiring them to demonstrate their working out. The worksheet also presents a number puzzle with clues that guide students to deduce a specific number, enhancing their critical thinking skills.

Further exercises on the worksheet challenge students to analyse patterns in numbers, such as investigating Phil's observation about prime numbers and multiples of 6, and to colour code a hundred square grid to visually segregate multiples of 2, 3, 5, and 7, which aids in estimating the count of prime numbers between 100 and 200. Students are also tasked with finding pairs of prime numbers that sum up to 48 and completing a prime factor tree for the number 28, deepening their understanding of prime factorisation. Lastly, the worksheet asks for the smallest number with three different prime factors, pushing students to apply their knowledge to find the solution. The accompanying answer key provides the correct responses and reasoning for each task, ensuring that students can check their work and understand any mistakes made.