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The tangent to $y=x^2-3x+5$ at $x=2$ meets the $y$ -axis where?

(0,1)

(0,3)

(0,-1)

10 full mock papers

UAT-UK has released no past papers — only two practice tests. We built 10 full-length mocks, plus 1,091 original questions mapped to the current specification.

16+ guided hours

42 interactive lessons that teach the ESAT move, then make you use it

468 figures · 13 guides

question diagrams plus free web and PDF guide pairs

Built on the science of learning

Your errors guide what you see next Revisit problems just before you'd forget Mixed practice that sharpens exam recognition. Slower today, stronger on results day We name your error, never just 'wrong'Start where you are Master each step, or test out if you're ready

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Without a calculator, which is the best estimate of $\frac{39.8 \times \sqrt{63}}{2.01\pi}$ ?

$39.8\approx40,\quad \sqrt{63}\approx8,\quad 2.01\pi\approx6$

50

100

160

Written for ESAT, not recycled NSAA papers

All 1,091 original questions are written against the current ESAT specification. Every solution teaches the shortest route, and every trap answer explains the exact mistake behind it.

The estimate is $320/6$ , so which option survives a size check?

160

50

The $160$ trap keeps the numerator estimate but divides by $2$ and loses the factor of $\pi$ . Since $6\times50=300$ , the best estimate is $50$ .

320/6\approx53

Wrong answers that teach

Every trap option exists because a real mistake produces it. Pick one and you see the exact slip, not just a cross. That is the difference between getting the answer and understanding it.

Your next timed set targets

Mechanics

82\%

Sequences

41\%

Trigonometry

68\%

Logs & exps

35\%

Do not know where to start? Start with the gaps.

The diagnostic finds the topics costing you marks. Your map then turns those gaps into the next lesson, timed set and review, so you never have to invent the plan yourself.

72 days to the ESAT

Cannot finish in time? Train when to bank.

Sprint practice gives every question a 90-second stop-loss. Bank a stalled route, protect the questions you have not seen, then review where your time actually went.

From first mock to exam morning

Maths 1Maths 2PhysicsFull mocks

Covered subjects

Algebra
Sequences and Series
Coordinate Geometry
Trigonometry
Exponentials and Logarithms
Probability
Graphs of Functions

every specification point covered

Coordinate Geometry

Timed set · PhysicsQuestion 4 of 10 · 5:12 left

6\,\Omega

resistor and a

3\,\Omega

resistor are connected in parallel. That combination is connected in series with a

4\,\Omega

resistor across a

12\,\text{V}

supply. What is the current through the

6\,\Omega

resistor?

\frac{1}{3}\,\text{A}

\frac{2}{3}\,\text{A}

\frac{4}{3}\,\text{A}

2\,\text{A}

The current through the

6\,\Omega

branch is

\text{V}/R=4/6=2/3\,\text{A}

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UniGenius comes from Cambridge students who have taught 1,000+ admissions-test candidates. The people who sat these exams write every solution.

University of Cambridgetmua.co.uk

Made by people who sat these exams

“

I lost marks to timing, not maths. Timed sets are the product, because pacing is the skill.

Shrey

founder, Cambridge

“

If a solution needs a diagram, we draw the diagram. No wall-of-algebra answers.

Content team

tmua.co.uk

“

The trap answers are real mistakes we have watched students make in tutorials.

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