Factors, Multiples, Primes, Squares and Cubes - Worksheet

Engaging with the concept of common factors, a worksheet presents a series of tasks that challenge students' understanding of number relationships. In one activity, students are tasked with identifying the common factors of given pairs of numbers, such as 12 and 36, or 24 and 120. Another exercise prompts learners to determine the odd number out in a sequence, requiring them to apply their knowledge of factors. Further, the worksheet includes practical problems, such as calculating the maximum length into which ropes of varying lengths can be equally cut, and determining the correct distribution of fruit into baskets based on common factors. The worksheet also incorporates a Venn diagram exercise where students categorise the factors of 12 and 40, enhancing their analytical skills.

Another engaging resource focuses on multiples and primes. One worksheet encourages students to list common multiples for pairs of numbers and solve real-world problems involving multiples, such as scheduling visits or aligning train departures. A prime numbers worksheet guides students through listing prime numbers within a range, identifying numbers with specific prime factors, and disproving or supporting statements about prime numbers and multiples. Additionally, a square and cube numbers worksheet challenges students to correct misconceptions about these concepts, identify patterns, and complete calculations involving square numbers. These worksheets are designed to foster fluency, reasoning, and problem-solving skills in mathematics.