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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, Drill for topic practice, Library for saved questions, and My Exams for the sets you own.

Set 1 is always free. No card required.

Mock paper
Set 1
Realistic
Free
Mock paper
Set 2
Challenging
Mock paper
Set 3
Realistic
Mock paper
Set 4
Easy
Mock paper
Set 5
Realistic
Mock paper
Set 6
Challenging
Mock paper
Set 7
Realistic
Mock paper
Set 8
Easy
✦ WHY THESE MOCKS WORK

Built for the Exam That Matters Most.

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
Free

⬡ 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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