Multiples - Worksheet

The Common Multiples Worksheet is an educational resource designed to help students understand and identify common multiples through a variety of engaging tasks. The worksheet is structured to encourage fluency, reasoning, and problem-solving skills. Students are asked to list common multiples for pairs of numbers, such as 2 and 6, 4 and 9, and 6 and 5. Additionally, they are presented with real-life scenarios, such as calculating how many times Josh and Sarah play tennis on the same day over a two-week period, and determining the ages of Claire and her sister, who are both multiples of 14 and 2 and fall within a specified age range.

The worksheet continues with problems that require students to work out the frequency of family visits to a grandad within a month and to calculate how many times trains leave from two different platforms at the same time within a day. Another task challenges students to figure out the possible heights for equal towers built from cubes of different sizes. There is also an exercise involving a Venn diagram where students must deduce the headings and add numbers to each section, including finding a square number for the centre. The worksheet concludes with a discussion between two characters, Carl and Mike, about the nature of common factors and multiples, prompting students to think critically about the concept. The worksheet provides a comprehensive set of answers to assist students in verifying their solutions and understanding the reasoning behind them.