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JEE Advanced Mathematics 2027 Rs 4,500

JEE Advanced Mock Test 4 (Paper 2 shape)

JEE Advanced mock test 4 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
216Marks
-1 Negative
11-12Grades

About this test

JEE Advanced Mock Test 4 (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 4 and lose 1 if wrong; Q3 score 4 with no penalty; Q4-5 score 4 and lose 1 if wrong; Q6 score 4 with no penalty; Q7-8 score 4 and lose 1 if wrong; Q9 score 4 with no penalty; Q10-11 score 4 and lose 1 if wrong; Q12 score 4 with no penalty; Q13 score 4 and lose 1 if wrong; Q14 score 4 with no penalty; Q15-16 score 4 and lose 1 if wrong; Q17 score 4 with no penalty; Q18-20 score 4 and lose 1 if wrong; Q21 score 4 with no penalty; Q22-23 score 4 and lose 1 if wrong; Q24 score 4 with no penalty; Q25-26 score 4 and lose 1 if wrong; Q27 score 4 with no penalty; Q28 score 4 and lose 1 if wrong; Q29 score 4 with no penalty; Q30-31 score 4 and lose 1 if wrong; Q32 score 4 with no penalty; Q33-34 score 4 and lose 1 if wrong; Q35 score 4 with no penalty; Q36-38 score 4 and lose 1 if wrong; Q39 score 4 with no penalty; Q40-41 score 4 and lose 1 if wrong; Q42 score 4 with no penalty; Q43-44 score 4 and lose 1 if wrong; Q45 score 4 with no penalty; Q46 score 4 and lose 1 if wrong; Q47 score 4 with no penalty; Q48-49 score 4 and lose 1 if wrong; Q50 score 4 with no penalty; Q51-52 score 4 and lose 1 if wrong; Q53 score 4 with no penalty; and Q54 score 4 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 - variable force Rotational - rolling vs sliding Gravitation - orbital energy Electrostatics - shell and point charge Circuits - RC transient Magnetism - charged particle radius Thermodynamics - free expansion Optics - interference conditions Modern physics - photon count Waves - superposition SHM - damped and forced Fluid mechanics - Bernoulli EMI - self induction energy Nuclear - binding energy Semiconductors - LED Measurement and errors Collisions - perfectly inelastic Heat transfer - Wien law Thermodynamics - spontaneity analysis Equilibrium - Le Chatelier applications Ionic equilibrium - buffer pH Coordination - spectrochemical series Organic - resonance and acidity Kinetics - half life relation Electrochemistry - concentration cell Solid state - unit cells Colligative - molar mass determination Organic - rearrangement Stoichiometry - empirical formula p-block - inert pair effect consequence d-block - general properties Gas laws - density Organic - aromatic nitration mechanism Biomolecules - nucleic acids Electrochemistry - Nernst at non-standard Surface chemistry - protective colloid Calculus - implicit and related rates Functions - properties Definite integration - by parts Complex numbers - De Moivre Probability - conditional and independence Matrices - inverse computation Differential equations - order and linearity Conic sections - identification Sequences - sum of GP Vectors - perpendicularity condition Limits - standard form Binomial - independent term condition Calculus - continuity and differentiability 3D geometry - angle between lines Application of derivatives - tangent parallel to axis Statistics - measures Permutations - circular with restriction Determinants - property

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: +4 / -1 for single-correct; +4 partial for multiple-correct; matching +3 / -1.

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 $m$ at rest is acted on by a force $F = kt$ (with $k$ constant) from $t=0$. Its velocity at time $t$ is:
A) $\dfrac{kt}{m}$
B) $\dfrac{kt^2}{2m}$
C) $\dfrac{kt^2}{m}$
D) $\dfrac{2kt}{m}$
Q2.

A sphere is released on an incline. Which statements are correct?

One or more options are correct. Partial credit applies.

A) If it rolls without slipping, friction is static and does no net work
B) If it slides without rotating, friction converts energy to heat
C) Rolling friction requires a non-zero friction coefficient
D) A rolling sphere reaches the bottom before a sliding frictionless block
52 more questions in the full paper, each with a worked solution.

Questions people ask

What is the marking scheme for this paper?

+4 / -1 for single-correct; +4 partial for multiple-correct; matching +3 / -1. 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.

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