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

JEE Advanced Mock Test 5 (Paper 1 shape)

JEE Advanced mock test 5 in the Paper 1 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 5 (Paper 1 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; Q18-19 score 4 and lose 2 if wrong; Q20 score 4 with no penalty; Q21 score 4 and lose 2 if wrong; Q22 score 4 with no penalty; Q23-26 score 4 and lose 2 if wrong; Q27 score 4 with no penalty; Q28-29 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

Rotational dynamics - rolling with slipping Simple harmonic motion - energy and phase Electromagnetic induction - rod in a field Thermodynamics - Carnot efficiency and work Modern physics - photoelectric stopping potential Capacitors - dielectric insertion Work energy theorem with friction Friction and energy dissipation Static friction and equilibrium Gravitation - escape and orbital speed Alternating current - resonance and Q factor Wave optics - thin film interference Matrix match - dimensional formulae Current electricity - Wheatstone bridge Fluid mechanics - Bernoulli and efflux Magnetism - moving charge in a field Calorimetry - latent heat and mixtures Centre of mass - two body recoil Chemical kinetics - order from half lives Electrochemistry - equilibrium constant from emf Coordination - isomerism in complexes Solutions - osmotic pressure Kinetics from total pressure First order rate constant Extrapolating a first order reaction Organic - reaction mechanism SN1 rates Stoichiometry - empirical formula Matrix match - reagents and transformations Thermodynamics - first law on a cycle Gaseous state - mean free path scaling Atomic structure - quantum numbers Equilibrium - Kp and Kc conversion Periodicity - ionisation enthalpy trends Redox titration - normality Organic - phenol acidity from pKa Solid state - void radius ratio Definite integration - king property Functions - continuity and differentiability Probability - at least one occurrence Matrices - system consistency Parabola - tangent at a point Parabola - normal meeting the curve again Parabola - area of a triangle Complex numbers - roots of unity Matrix match - curves and eccentricities Differential equations - variable separable Vectors - coplanarity condition Sequences - AP and GP conditions Application of derivatives - rate of change Binomial - greatest coefficient Trigonometry - solving a linear combination 3D geometry - angle between planes Limits - L Hospital rule Straight lines - family through a point

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 1. 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 with partial credit and -2 for multiple-correct; +3 / 0 for numerical.

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 solid sphere of mass $m$ and radius $R$ is given an initial velocity $v_0$ along a rough horizontal surface with no initial spin. The coefficient of friction is $\mu$. The velocity when it begins pure rolling is:
A) $\dfrac{2v_0}{3}$
B) $\dfrac{5v_0}{7}$
C) $\dfrac{3v_0}{5}$
D) $\dfrac{7v_0}{9}$
Q2.

A particle executes SHM as $x = A\sin(\omega t)$. Which statements are correct?

One or more options are correct. Partial credit applies.

A) The kinetic energy equals the potential energy when $x = \pm\dfrac{A}{\sqrt2}$
B) The kinetic and potential energies both vary with period $\dfrac{\pi}{\omega}$
C) The average kinetic energy over one full cycle is $\dfrac{1}{4}m\omega^2A^2$
D) The speed at $x = \dfrac{A}{2}$ is $\dfrac{\omega A}{2}$
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 with partial credit and -2 for multiple-correct; +3 / 0 for numerical. 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?

Organic reasoning and stereochemistry weighted.

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