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TMUA practice

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Train by topic or sit a full two-paper mock in exam conditions.

Format, timing & official papers

The full TMUA has two papers, each with 20 multiple-choice questions in 75 minutes. Paper 1 focuses on applying mathematics; Paper 2 adds mathematical reasoning and logic. No calculator or formula booklet. No penalty for wrong answers. This is an original practice bank; the optional timer is for practice and does not simulate a full paper.

Official guidance & papers ↗

Timed rounds select 10 questions from this bank, with 4 minutes per question. Your score is practice feedback, not a prediction of an official result.

Study mode · browse all 108 questions, with hints and explanations.

ORIGINAL PRACTICE · QUESTION 1 OF 108

TMUA-style practiceMultiple choice · A–EInspired by the format · not an official paper

For how many integers $k$ with $-3\leq k\leq6$ does $x^4-4x^2+k=0$ have exactly two distinct real solutions?

Rough working (optional)

Your working

Question reference: tmua-stretch-01Report a question →

Need a nudge?Three small hints · no answer revealed