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Introducing: Arc

Arc is Lab45's ESAT mock platform: timed, computer-based, and built to mirror real exam pressure — with full worked support and a flow that matches what you'll see on the day.

Sign in and it all lives in one dashboard: Review for diagnostics and trends, Library for saved questions, and My Exams for the sets you own. Pair paid mocks with the Question Bank to unlock topical Drill.

Set 1 is always free. No card required.

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Challenging
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Set 3
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Easy
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Set 5
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Set 6
Challenging
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Set 7
Realistic
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Set 8
Easy
Why These Mocks Work

Built for the new ESAT

Every mock is designed around the real ESAT experience — the interface, timing, syllabus, difficulty curve, and review loop that actually changes your score.

Mocks Engineered From the Source

Other platforms recycle legacy ENGAA material. Ours don't. Every Lab45 mock is constructed from live ESAT data — calibrated to the current syllabus, weighted to actual difficulty distributions, and structured to replicate the exact cognitive pressure of the real exam. There is no shortcut version of this.

Mocks Engineered From the Source

Feedback That Compounds

After every attempt, you get a full diagnostic breakdown — not just a score. Trace error patterns across modules and watch marginal gains accumulate into real improvement.

Feedback That Compounds

Built by People Who Cracked It

Our solutions are written by top-scoring graduates who understand how these questions are designed to mislead. They teach the architecture of the problem, not just the path to the answer.

ESAT Score9.0

No Surprises on Exam Day

The Lab45 interface mirrors the real ESAT experience. When you sit down on test day, the only unfamiliar thing is your seat number.

No Surprises on Exam Day

Three Difficulty Levels

Easy builds confidence and adapts you to time pressure. Realistic matches actual exam difficulty. Challenging goes beyond it so the real paper feels manageable.

EasyFoundation
RealisticExam standard
ChallengingBeyond standard

Built for the New ESAT

ESAT is not ENGAA or NSAA with a new name. The syllabus, difficulty, and problem style have changed fundamentally. We identified the new reasoning patterns, then designed original questions that mirror real ESAT problems.

Review Mode That Stays Useful

Save specific questions, revisit mistakes, and turn each attempt into a targeted revision loop instead of a one-off score report.

Saved mistake
Question 14 · Mechanics
Retry

Set 1 Is Always Free

Start with a complete ESAT mock before buying anything. Test the interface, solutions, timing, and review flow — no card required.

Starter paper
Set 1
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Practice that knows where you lose marks.

Filter by topic, module, and tier — every question includes full solutions. Weak spots from mocks flow straight into drill sessions.

Where to focus

Below 60% on mocks — clear via focused drill sessions · 3 areas

View all →

Integration & Numerical Methods · Combining integrals

0/3 correct on mocks · 0%

Drill

Integration & Numerical Methods · Integrating powers

0/3 correct on mocks · 0%

Drill

Geometry & Trigonometry · Trigonometric integrals

0/3 correct on mocks · 0%

Drill

Math 1

See all 32 →
0%
Differentiation

Differentiation

11 questions · 0%

10%
Binomial expansi

Binomial expansion

8 questions · 10%

11%
Sequences and

Sequences and series

9 questions · 11%

Graph sketching

Graph sketching

7 questions · 24%

Dashboard

Know exactly where you stand.

Review, Stories, Library, and Drill share one hub — every mock you finish updates the same place so you always know what to do next.

Question by question.

Every question you attempted, with the correct answer, explanation, and a save button if it's worth revisiting.

lab45.app/dashboard
/ESAT · Set 2 · Math 2 · Q5
Q5Math 2 · Set 2
Evaluate ∫0π/4sin⁡(2x) dx\int_{0}^{\pi/4} \sin(2x)\, dx∫0π/4​sin(2x)dx.
A
12\frac{1}{2}21​
B
22\frac{\sqrt{2}}{2}22​​
C
12\frac{1}{\sqrt{2}}2​1​
D
111
NotesSoon

Solution

To evaluate ∫0π/4sin⁡(2x) dx\int_{0}^{\pi/4} \sin(2x)\,dx∫0π/4​sin(2x)dx:

∫sin⁡(2x) dx=−12cos⁡(2x)+C\int \sin(2x)\,dx = -\frac{1}{2}\cos(2x) + C∫sin(2x)dx=−21​cos(2x)+C


Applying the limits:
[−12cos⁡(2x)]0π/4=−12cos⁡ ⁣(π2)+12cos⁡(0)=0+12=12\left[-\frac{1}{2}\cos(2x)\right]_{0}^{\pi/4} = -\frac{1}{2}\cos\!\left(\frac{\pi}{2}\right) + \frac{1}{2}\cos(0) = 0 + \frac{1}{2} = \frac{1}{2}[−21​cos(2x)]0π/4​=−21​cos(2π​)+21​cos(0)=0+21​=21​

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Buy one or more paid mock sets. Best when you want targeted practice before committing to the full bundle.

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All 8 full mock exams. Progressive difficulty from first sit to exam day, with solutions and analytics included.

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All eight mock exams, Question Bank, and your three-module lecture track in one purchase.

Does not include Chemistry or Biology lectures.

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Question Bank

Your three ESAT modules — topic practice with solutions

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Course + Oxbridge question bank

Includes everything above as each product ships.

Does not include Chemistry or Biology lectures.

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