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Mock Tests eBooks About
JEE Advanced Mathematics 2027 Rs 4,500

JEE Advanced Mock Test 6 (Paper 2 shape)

JEE Advanced mock test 6 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 6 (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 2 if wrong; Q3 score 4 with no penalty; Q4 score 4 and lose 2 if wrong; Q5 score 4 with no penalty; Q6-9 score 4 and lose 2 if wrong; Q10 score 4 with no penalty; Q11 score 4 and lose 2 if wrong; Q12 score 4 with no penalty; Q13-14 score 4 and lose 2 if wrong; Q15 score 4 with no penalty; Q16 score 4 and lose 2 if wrong; Q17 score 4 with no penalty; Q18 score 4 and lose 2 if wrong; Q19 score 4 with no penalty; Q20 score 4 and lose 2 if wrong; Q21 score 4 with no penalty; Q22-25 score 4 and lose 2 if wrong; Q26 score 4 with no penalty; Q27 score 4 and lose 2 if wrong; Q28 score 4 with no penalty; Q29 score 4 and lose 2 if wrong; Q30 score 4 with no penalty; Q31 score 4 and lose 2 if wrong; Q32 score 4 with no penalty; Q33 score 4 and lose 2 if wrong; Q34 score 4 with no penalty; Q35 score 4 and lose 2 if wrong; Q36 score 4 with no penalty; Q37-38 score 4 and lose 2 if wrong; Q39 score 4 with no penalty; Q40-43 score 4 and lose 2 if wrong; Q44 score 4 with no penalty; Q45 score 4 and lose 2 if wrong; Q46 score 4 with no penalty; Q47-48 score 4 and lose 2 if wrong; Q49 score 4 with no penalty; Q50 score 4 and lose 2 if wrong; Q51 score 4 with no penalty; Q52 score 4 and lose 2 if wrong; Q53 score 4 with no penalty; and Q54 score 4 and lose 2 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

Collisions - elastic collision of unequal masses Centre of mass - motion under internal forces Electrostatics - Gauss law and flux Electrostatics - dipole in a non-uniform field Current electricity - internal resistance and maximum power Optics - lens and mirror combinations Rotational dynamics - linked translation and rotation Rotational dynamics - tension in the string Rotational dynamics - angular speed after a drop Thermodynamics - work in an isothermal expansion Waves - stationary waves and nodes Modern physics - mass defect and binding energy Matrix match - SI units of physical quantities Simple harmonic motion - pendulum and spring Magnetism - cyclotron frequency Kinetic theory - degrees of freedom and gamma Gravitation - variation of g with depth Semiconductors - logic gate combination Thermochemistry - Hess law cycle Electrochemistry - spontaneity from electrode potentials Chemical kinetics - integrated second order rate law Coordination - hybridisation and geometry Buffer pH from Kb Buffer response to added acid Buffer pH after adding acid Solid state - number of atoms per unit cell Organic - distinguishing tests Stoichiometry - limiting reagent with two reactants Matrix match - polymers and their classification Equilibrium - shifting with added reactant Atomic structure - effective nuclear charge Solutions - relative lowering of vapour pressure Inorganic - halogen bond enthalpies and trends Electrochemistry - Faraday and gas volume Organic - relative rates of nucleophilic substitution Thermodynamics - Gibbs energy from equilibrium constant Definite integration - substitution Matrices - symmetric and skew symmetric Probability - conditional probability from a table Complex numbers - modulus of a quotient Calculus - locating critical points Calculus - classifying the extrema Calculus - point of inflection Vectors - unit vector perpendicular to two vectors Matrix match - standard derivatives Sequences - arithmetic mean insertion Straight lines - angle bisector Functions - domain and range Binomial theorem - sum of coefficients 3D geometry - equation of a plane through three points Trigonometry - value of a product Differential equations - order and solution form Limits - standard trigonometric limit Circles - tangency and intersection

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 — 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 ball of mass $m$ moving at $v$ collides head-on and elastically with a stationary ball of mass $3m$. The fraction of the initial kinetic energy transferred to the heavier ball is:
A) $\dfrac{1}{4}$
B) $\dfrac{1}{2}$
C) $\dfrac{3}{4}$
D) $\dfrac{9}{16}$
Q2.

Two particles of masses $2\,$kg and $3\,$kg are connected by a light spring on a frictionless floor and set oscillating. Which statements are correct?

One or more options are correct. Partial credit applies.

A) The centre of mass remains at rest if the system starts at rest
B) The momenta of the two particles are always equal in magnitude and opposite
C) The kinetic energies of the two particles are always equal
D) The ratio of their speeds is always $3 : 2$
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.

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