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JEE Advanced Mathematics 2027 Rs 4,500

JEE Advanced Mock Test 2 (Paper 2 shape)

JEE Advanced mock test 2 in the Paper 2 shape: 3 hours, multi-concept questions, with the marking scheme disclosed at the start as the real exam does.

54Questions
180Minutes
162Marks
-1 Negative
11-12Grades

About this test

JEE Advanced Mock Test 2 (Paper 2 shape) is a full 54-question paper you attempt online in 180 minutes. It follows the Joint Entrance Examination Advanced pattern, so the timing, the question style and the marking match the real exam. Marks are banded: Q1-2 score 3 and lose 1 if wrong; Q3 score 3 with no penalty; Q4-5 score 3 and lose 1 if wrong; Q6 score 3 with no penalty; Q7-8 score 3 and lose 1 if wrong; Q9 score 3 with no penalty; Q10-11 score 3 and lose 1 if wrong; Q12 score 3 with no penalty; Q13 score 3 and lose 1 if wrong; Q14 score 3 with no penalty; Q15-16 score 3 and lose 1 if wrong; Q17 score 3 with no penalty; Q18-20 score 3 and lose 1 if wrong; Q21 score 3 with no penalty; Q22-23 score 3 and lose 1 if wrong; Q24 score 3 with no penalty; Q25-26 score 3 and lose 1 if wrong; Q27 score 3 with no penalty; Q28 score 3 and lose 1 if wrong; Q29 score 3 with no penalty; Q30-31 score 3 and lose 1 if wrong; Q32 score 3 with no penalty; Q33-34 score 3 and lose 1 if wrong; Q35 score 3 with no penalty; Q36-38 score 3 and lose 1 if wrong; Q39 score 3 with no penalty; Q40-41 score 3 and lose 1 if wrong; Q42 score 3 with no penalty; Q43-44 score 3 and lose 1 if wrong; Q45 score 3 with no penalty; Q46 score 3 and lose 1 if wrong; Q47 score 3 with no penalty; Q48-49 score 3 and lose 1 if wrong; Q50 score 3 with no penalty; Q51-52 score 3 and lose 1 if wrong; Q53 score 3 with no penalty; and Q54 score 3 and lose 1 if wrong. Guessing carries a real cost, exactly as it does on the day.

You get your score the moment you submit, question by question, with a step-by-step solution to every problem. Two papers, mixed question types, partial marking.

What it covers

Mechanics + calculus Rotational + rolling Electrostatics + energy Magnetism + circular motion Thermodynamics - cyclic process Optics - lens combination Modern physics - Bohr transitions SHM - combined systems Current electricity - power Waves - Doppler with moving observer Electromagnetic induction - Lenz Gravitation - escape energy Capacitance with dielectric slab Nuclear - half life Fluid dynamics - efflux Semiconductor devices Collisions - 2D Heat transfer - radiation Thermodynamics + equilibrium Electrochemistry - galvanic cell Kinetics - integrated rate law Coordination - EAN Organic - aromaticity Stoichiometry - limiting reagent Solid state - packing efficiency Colligative properties - van't Hoff Ionic equilibrium - common ion Organic - reaction mechanism Electrochemistry - Faraday d-block - colour p-block - oxides Gaseous state - kinetic theory Organic - oxidation Biomolecules Thermodynamics - calorimetry Surface chemistry - colloids Functions - composition Calculus - properties of definite integrals Calculus - definite integral Complex numbers - roots of unity Matrices - symmetric and skew Probability - Bayes theorem Differential equations - linear Application of derivatives Vectors - coplanarity Conic sections - tangent Sequences - AGP Trigonometry - identities Limits and continuity 3D geometry - shortest distance Binomial - middle term Straight lines and circles Permutations with restrictions Determinants - system of equations

Sections

  • Physics — 18 questions
  • Chemistry — 18 questions
  • Mathematics — 18 questions

Difficulty spread

  • 54 hard questions

Before you start

Pattern. One paper of 3 hours, in the shape of JEE Advanced Paper 2. Physics, Chemistry and Mathematics sections, with single-correct, multiple-correct, numerical and matching questions.

Marking scheme for this paper: +3 / -1 throughout, with partial credit on multiple-correct.

Why the scheme changes between papers. JEE Advanced does not publish its marking scheme in advance. The official brochure states only that negative marks may be awarded for some questions, and that the details appear in the question paper itself. The organising IIT sets the rules each year and reveals them on screen on exam day. Read the scheme above before you begin and set your attempt threshold accordingly β€” that habit is worth more marks than any single topic.

Before you start. Phone in another room, single screen, no reference material, full three hours in one sitting. Remember that the real examination is two such papers on one day, and appearing in both is compulsory.

A look at the questions

Q1. A particle of mass $m$ moves under a force $F = -kx^3$. If it starts from rest at $x = a$, its speed as it passes the origin is:
A) $a^2\sqrt{\dfrac{k}{2m}}$
B) $a\sqrt{\dfrac{k}{m}}$
C) $a^2\sqrt{\dfrac{k}{m}}$
D) $\sqrt{\dfrac{ka^4}{m}}$
Q2.

A uniform ring rolls without slipping on a horizontal surface with centre-of-mass speed $v$. Which statements are correct?

One or more options are correct. Partial credit applies.

A) The speed of the topmost point is $2v$
B) The speed of the contact point is zero
C) Its total kinetic energy is $Mv^2$
D) Its angular speed is $\dfrac{v}{2R}$
52 more questions in the full paper, each with a worked solution.

Questions people ask

What is the marking scheme for this paper?

+3 / -1 throughout, with partial credit on multiple-correct. It is disclosed here because the real examination discloses its own scheme on the day rather than in advance.

How long is the paper?

Three hours, matching one real JEE Advanced paper. The actual exam is two such papers on a single day and appearing in both is compulsory.

What does this paper focus on?

Full syllabus.

Free resources, straight to your inbox

Problem sets, strategy guides and olympiad registration deadlines β€” sent when they matter, never more than twice a month.