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Try a real questionOfficial 2016 Paper 1 · Q13

How many real roots does the equation 3x5−10x3−120x+30=03x^5-10x^3-120x+30=0 have?

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2,150questions to practise
108full papers
2,110worked solutions
11topics, all tagged
£0forever

Official papers, plus mocks from

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How it works

Three steps. Every session.

  1. 01

    Pick your focus

    Drill a single topic, sit a full paper against the clock, or build your own set. Keep unseen mocks back for later.

  2. 02

    Get marked instantly

    Submit and see your score straight away, question by question, with the time you spent on each one.

  3. 03

    Fix your mistakes

    Every wrong or skipped question lands in your review notebook. Add a note, try it again and watch it turn green.

Topics

Go straight to the part you’re stuck on.

Every question is tagged by topic, so you can spend your time where the marks are slipping.

Built for the real test

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Real exam conditions

Sit full papers with a 75-minute timer. Flag questions to come back to and cross out options you’ve ruled out, as you would on the day.

Marked instantly

Submit and see your score straight away, question by question, with a worked solution for every answer.

A notebook of mistakes

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FAQ

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Is it really free?

Yes. Every TMUA paper, every question and every feature is free to use. There are no paywalls, trials or premium tiers.

Do I need an account?

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Where do the questions come from?

Official TMUA past and specimen papers, the original tmua.me mocks, and mock papers written by tutors and students. Answer keys come from each paper’s source.

What is the TMUA?

The Test of Mathematics for University Admission is used by universities including Cambridge, Imperial, LSE, Warwick and Durham for maths, computer science, economics and related courses. It has two 75-minute papers of 20 multiple-choice questions: Paper 1 applies mathematical knowledge and Paper 2 tests mathematical reasoning.

How does marking work?

Answers are marked the moment you submit, against each paper’s answer key, and every question with a worked solution shows it straight away.

Who can see my progress?

Only you. Your answers, notes and scores are private to your account, and you can download or delete them at any time.

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