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KS3 maths: Expanding and factorising

These are UK practice tests (year groups, national curriculum). In the US? Try the US version →

KS3 maths: Expanding and factorising: 20 questions, marked instantly with every answer explained. Free, no sign-up, no adverts in the test. This test is for Years 7 to 9 (ages 11–14). In the US, that's Grade 6 to Grade 8.

Before you start

20 questions on expanding brackets, factorising and simplifying expressions, picked at random from a bank of 45, so every try is different. Choose an answer. Some questions ask you to type an expression or an equation, such as 3(x + 2) or y = 2x − 1: any correct way of writing it counts, unless the question asks for a form (for example "factorise"). Choose Practice to see each answer explained as you go, or Test to see your score and explanations at the end.

  • 20 questions – a new mix each time you try
  • Type algebra with the keyboard or the on-screen maths keys
Choose how to do it

No sign-up and no adverts. Your answers stay on this device. Nothing you type in the test is sent to us – unless you choose to report a problem with a question.

How it is marked: by Classfern's own checks, in your browser, straight away. Typed algebra is marked by what it means, not by how it is spelled out, so equivalent answers count. Spot a mistake? Use the Report button.

Classfern practice material. Not an official test and not affiliated with or endorsed by the Department for Education or any exam board.

Curriculum: the key stage 3 programme of study covered here – 3y in place of y + y + y and 3 × y; a² in place of a × a, a³ in place of a × a × a; a²b in place of a × a × b; a/b in place of a ÷ b; coefficients written as fractions rather than as decimals; brackets; collecting like terms; multiplying a single term over a bracket; taking out common factors.

Contains public sector information licensed under the Open Government Licence v3.0. Curriculum statements from: Department for Education, National curriculum in England: mathematics programmes of study, © Crown copyright 2013.

Learn it first: Simplifying expressions (Year 9) · Expanding brackets (Year 9)

More KS3 maths tests · Maths Department · All practice tests