All challenges

Admissions · original practice

TMUA practice

Differentiation & integration · Choose another topic

0/44 attempted · Saved in this browser

Take your time

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

TMUA topics & practice tests →
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 44 questions, with hints and explanations.

ORIGINAL PRACTICE · QUESTION 1 OF 44
TMUA-style practiceMultiple choice · A–EInspired by the format · not an official paper

The function ff is differentiable for all real xx and f′(a)=0f'(a)=0. Which of the following must be true?

Choose one answer
Rough working (optional)
Question reference: tmua-practice-05Report a question →
Need a nudge?Three small hints · no answer revealed