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Understand multiples in KS3 algebra. Spot repeated addition, scale factors, and patterns in sequences to simplify calculations and check divisibility when solving problems.
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Fascinating Fact:
In algebraic sequences, the difference between terms often shows the multiple, like 3x, 6x, 9x increasing by 3x each time.
In KS3 Maths, multiples help you recognise patterns, scale quantities, and test divisibility. You’ll read and build sequences, use common multiples for timing or alignment problems, and simplify algebra by spotting repeated factors.
Key Terms
Multiple: A number or expression made by multiplying another, e.g. 18 is a multiple of 3; 6x is a multiple of x.
Common multiple: A value that is a multiple of two or more numbers, like 12 for 3 and 4.
Lowest common multiple (LCM): The smallest positive common multiple, useful for aligning cycles or adding fractions.
Frequently Asked Questions (Click to see answers)
What is a multiple in KS3 maths?
A multiple is the result of multiplying a number by an integer. For example, multiples of 5 are 5, 10, 15, 20; multiples of x include 2x, 3x, 4x.
How do I find the lowest common multiple (LCM)?
List multiples of each number and choose the first match, or use prime factorisation to combine the highest powers of shared primes.
How are multiples used in sequences?
In arithmetic sequences, a constant difference shows repeated addition of a multiple. For example, 3x, 6x, 9x increases by 3x each step.