TMUA · For Cambridge, Oxford, Imperial, LSE, Warwick, Durham and UCL

Eerily accurate TMUA practice questions.

The Test of Mathematics for University Admission.

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5 original TMUA questions, written to the current spec. See how you do before you commit to anything.

1 / 5
Paper 1IntegrationMedium

Evaluate ∫−44x2−1x2+1 dx.\int_{-4}^{4}\frac{x^2-1}{\sqrt{x^2}+1}\,dx.

Tap an answer to see if you got it.Score 0 / 5
3full mock papers
1,871questions in the bank
38MAT & TMUA & ECAA past papers
Preparing applicants for
University of OxfordUniversity of CambridgeImperial College LondonLondon School of EconomicsUCLUniversity of WarwickDurham UniversityUniversity of OxfordUniversity of CambridgeImperial College LondonLondon School of EconomicsUCLUniversity of WarwickDurham UniversityUniversity of OxfordUniversity of CambridgeImperial College LondonLondon School of EconomicsUCLUniversity of WarwickDurham University
How it works

From first question to walking in ready.

Step 1 · Start free, in seconds

Creating a free GhostPrep account
The same TMUA question shown in GhostPrep's interface and in the Pearson VUE-style simulatorGhostPrepPearson VUE
A worked solution: the method step by step, and a line on each wrong option
The analytics page's pacing card: median time per question, the share over budget, and the time sinks
To GhostPrep
From Ruth
I just wanted to say thank you so much for this amazing detailed and really well thought out programme.
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I did my exam today and I found your platform being the most accurate resource
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I've never seen a platform like this consider students more.
“You can tell they actually care about helping students succeed.”
Sadhana
“The mocks are really close to the real exam in terms of difficulty.”
Mayon
“What surprised me the most was how hands-on the team is; someone is pretty much always online and they really do communicate with you.”
Irina
What you get

Everything the real TMUA throws at you, practiced in advance.

Seven things that make your preparation super high quality. All of them included in every plan.

tmua.ghostprep.co.uk/
A preview of the platform with a sample account. Choose a test above to switch platforms.
Realistic

3 full-length TMUA mock exams

Both papers, built question by question to the family mix, difficulty ramp, option counts and answer formats of a real sitting. Nothing softened. Sit each one end to end, timed, in the real interface.

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Timing

Practice under real exam conditions

75 minutes a paper, enforced exactly as the real thing, and a pause that hides the screen so practice stays honest.

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Scoring

Scored on the real 1.0 to 9.0 scale

Paper-by-paper marks, accuracy and pace, and for a full mock an estimate of where you would land on the scale UAT-UK reports.

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Pacing

Your pace, against everyone else's

Your time on every question next to the average, and tracked against the real paper's 225 seconds.

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Depth

1,500+ eerily accurate practice questions

A bank deep enough that you'll never see the same question twice. Filter by paper, specification topic, difficulty, or what you haven't seen yet.

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Your call

Practice exactly how you want

Quick start or full custom setup: pick the paper, the specification topics and the difficulty you want to drill, then sit it in GhostPrep's own interface or the Pearson-style one.

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Mistake bank

Every wrong answer, saved to redo

Each question you get wrong goes into your mistake bank automatically. Come back to it a week later without the solution in front of you, and find out whether it stuck.

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Worked solutions

Every question explains itself.

The method that actually runs, step by step, and a line on each wrong option saying which slip it was built to catch. Including the one you picked.

  • The correct answer, worked in full
  • Why the others are wrong, option by option
  • Your answer flagged in the breakdown
  • Your time against everyone else's, on every question
Difficulty

Turn it up as you get better.

Every question is graded across four levels, so practice keeps pace with you, from finding your feet to well past anything the real exam will ask.

Easy

Find your feet. Learn the question shapes without the clock breathing down your neck.

Medium

Real-exam standard: the difficulty you'll actually meet on the day.

Hard

Stretch. The tougher end of the real paper, where marks are won and lost.

Insane

Deliberately harder than the real thing, so the real thing feels calm by comparison.

Medium is pinned to genuine real-exam difficulty. Practice there and you're practicing the actual paper.

To GhostPrep
From Sophie
It's very easy to navigate through and I love the fact that you can choose many options, for example, how many questions, timing (with extra time and without) and which format you want the questions to be given in.
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your emails have been so helpful and nice to receive, it's clear that there is a real person behind it all who really cares
“Great to track which subtopics to work on.”
Euan
“Really nice people behind it that respond straight away.”
Freya
To GhostPrep
From Ame
the exam went really well and i'm really grateful for being able to use ghostprep because it was genuinely really helpful and very accurate!! thank you so so so much!!
“Huge amount of questions, all covering a different level of difficulty, which can be really helpful when you want to challenge yourself or slowly build up ability.”
Phoebe
“Very helpful and good customer service.”
Keisha
“The service is also amazing with fast responses to emails and requests.”
Mayon
What’s on the test

Built to match the real TMUA, section by section.

Two papers of 20 questions, 75 minutes each, sat on screen at a Pearson VUE centre with a whiteboard and no calculator. No penalty for wrong answers, and one score on the 1.0 to 9.0 scale.

Paper 1: Applications of Mathematical Knowledge

941practice questions

Multiple choice. AS-level pure maths and higher-tier GCSE put to work in shapes school never asked for: nine question families, from algebra and functions to graphs and transformations.

Paper 2: Mathematical Reasoning

450practice questions

Multiple choice. Logic and proof: necessary and sufficient, quantifiers and negation, counterexample, what follows from what, and spotting the error in a purported proof.

And as whole papers
858questions

across 41 full papers you can sit end to end, timed, in the simulator.

3papers
GhostPrep mocks
120 questions · written by us
22papers
MAT
195 questions · real, digitised
9papers
TMUA
360 questions · real, digitised
7papers
ECAA
183 questions · real, digitised

Question counts come straight from the bank, and grow every week.

Why "eerily accurate"

If it doesn’t look like the real TMUA, it doesn’t go in the bank.

We're borderline obsessive about accurate questions. Every question is written and reviewed against the current spec: same shape, same traps, same difficulty, same clock. Nothing softened to feel gentler than the real exam.

  • Reviewed against the current spec, not last year's
  • Timed to the exact real-exam clock, section by section
  • A full worked explanation written for every one
  • Pulled the moment it stops matching
Adaptive

Adaptive practice, not random drills.

Sessions target where you’re weakest and back off where you’re strong. Twenty focused minutes goes further than an hour of scrolling past papers.

Progress by sub-topicsession 6 · this week
MM1 · Algebra and functions54%
MM7 · Integration41%
Arg2 · The terms necessary and sufficient68%
Prf1 · Following and constructing proofs37%
No risk

14 days to try it properly.

Real prep shouldn't be a gamble. Two promises, both in plain English.

Full 14-day refund

If GhostPrep isn't for you, email us within 14 days of buying for a full refund, whichever plan you're on. No forms to fill in, no reason to give.

Nothing that traps you

Cancel in one click from your account, whenever you like, with no retention calls and no hoops. On the weekly plan you are never more than seven days from stopping. On monthly, never more than a month. Either way you keep what you have already paid for.

Pricing

Months of practice versus less than one hour with a tutor.

A single hour of private tutoring runs £50–150, and buys you one sitting. This buys you months.

Free forever
£0

10 practice questions a day and every TMUA past paper.

90% of our reviews are 5-star(opens in a new tab)

“I did my exam today and I found your platform being the most accurate resource”

Ruth, by email the evening of the exam

“You can tell they actually care about helping students succeed.”

Sadhana, 5-star review

All prices in GBP. Plans renew until you cancel, and you can cancel any time from your account without a million screens to click through and no-one trying to make you stay.

Every paid plan includes
  • Full TMUA question bank, 1,871 questions
  • Worked explanation on every question
  • Build custom practice sessions
  • 3 full-length mocks in a Pearson-style simulator
  • Mocks scored on the real 1.0 to 9.0 scale
  • Your time on every question against everyone else's
  • Every wrong answer saved to redo
  • Revision notes on every topic in the specification
  • Progress and readiness tracking

If this would be a real struggle to pay for, apply for a bursary for full access for your exam cycle, free, assessed on financial need.

Common questions

Straight answers, no fluff.

TMUA · Ready when you are

Eerily accurate TMUA practice questions.

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