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TMUA practice tests, marked by tutors

TMUA Paper 1 and Paper 2 mocks with logic-and-proof practice.

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Papers
Paper 1 · Paper 2
Per paper
20 questions · 75 min
Calculator
Not allowed
Score scale
1.0–9.0

What is the Test of Mathematics for University Admission?

The TMUA is used for mathematics, economics and computer science admissions at universities such as Cambridge, LSE, Imperial, Warwick and Durham. Paper 2 tests mathematical reasoning and logic, which school maths rarely trains. Notenix mocks cover both papers.

TMUA format

  • Paper 1, Applications of Mathematical Knowledge: 20 multiple-choice questions in 75 minutes.
  • Paper 2, Mathematical Reasoning: 20 multiple-choice questions in 75 minutes, including logic and proof.
  • No calculators or formula sheets.
  • Results are reported on a 1.0–9.0 scale.

How Notenix helps you prepare

  • Separate Paper 1 and Paper 2 mocks, standard and hard sets.
  • Worked explanations for every question, with LaTeX-quality maths.
  • Timing analytics per question to build exam pace.
  • Tutor-marked mocks with a written plan for Paper 2 logic.
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Free TMUA practice questions

Answer each question and check it instantly. Worked solutions included.

1

Find the sum to infinity of the geometric series 6+3+32+34+⋯6 + 3 + \tfrac{3}{2} + \tfrac{3}{4} + \cdots

2

Which statement is the contrapositive of: "If n2n^2 is even, then nn is even"?

3

Evaluate ∫02(3x2+1) dx\displaystyle\int_0^2 (3x^2 + 1)\,dx.

4

How many real solutions does x4−5x2+4=0x^4 - 5x^2 + 4 = 0 have?

5

Which number is a counterexample to the claim "every prime number is odd"?

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TMUA practice: frequently asked questions

Which universities require the TMUA?+

The TMUA is used by universities including Cambridge, LSE, Imperial, Warwick and Durham for mathematics, economics and computer science courses. Requirements change, so check each course page.

How is TMUA Paper 2 different from Paper 1?+

Paper 1 applies A-Level-style maths. Paper 2 tests reasoning: logic, proof, identifying errors in arguments and necessary/sufficient conditions.

Is a calculator allowed in the TMUA?+

No. Neither paper allows calculators or formula sheets.

Are the Notenix TMUA papers official?+

No. All questions are original, written by our tutors to match the style and difficulty of the real papers.

Also practise: SAT · ESAT · GCSE Maths · A-Level Maths · IGCSE · CBSE · ICSE · JEE · NEET