Max Maths, Year 6, Work Book, Comparing and ordering numbers within 1000000

The 'Max Maths Year 6 Work Book' presents a series of exercises designed to help students understand factors and multiples, and specifically how to identify the highest common factor (HCF) and the lowest common multiple (LCM) of given numbers. In Practice 3, students are tasked with listing factors of individual numbers and pairs, and then circling the common factors to determine the HCF. For example, they must find the HCF of 18 and 20, and similarly, the HCF of 30 and 40. The exercise continues with more complex sets of numbers, such as finding the HCF of 12, 24, and 28, and of 16, 48, and 80, requiring students to list out the factors and identify the highest one that is common to all given numbers.

Moving on to multiples, students are asked to list the first eight multiples of various pairs of numbers and then select the LCM. This includes finding the LCM of pairs such as 2 and 6, 3 and 7, 2 and 10, 8 and 12, and 5 and 7. In another exercise, they are provided with a multiplication table and instructed to circle multiples of specific numbers, such as 6 and 9, and then to colour in the common multiples to visually identify the LCM. The activity continues with other pairs, like 12 and 15, to further reinforce the concept of common multiples and the process of finding the LCM through pattern recognition and comparison.