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TMUA Paper 1 against Paper 2

Both papers have 20 multiple-choice questions and last 75 minutes, but they test different skills.

Last checked 12 November 2026. Written by Proven Papers, an independent practice site.

Paper 1: applications of mathematical knowledge

Paper 1 uses content from GCSE Higher and AS-level pure mathematics: algebra and functions, sequences and series, coordinate geometry, trigonometry, exponentials and logarithms, calculus, graphs and transformations, and more. The questions ask you to apply what you know in unfamiliar ways.

Paper 2: mathematical reasoning

Paper 2 tests logic, proof and spotting errors in arguments. You are asked which statements follow, which conditions are necessary or sufficient, and where an argument goes wrong. The mathematical content is light, but the thinking is precise.

What they share

  • 20 multiple-choice questions each.
  • 75 minutes each, 2 hours 30 minutes in total.
  • No calculator and no formula booklet.
  • No negative marking, so answer everything.

How to practise each

For Paper 1, work through the topic list and practise doing algebra quickly and accurately by hand. For Paper 2, read the UAT-UK notes on logic and proof, then practise explaining why each wrong option fails.

Quick answers

Which paper is harder?

It varies by person. Many students find Paper 2 less familiar because school courses rarely teach formal logic.

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