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

JEE Advanced Mock Test 7 (Paper 1 shape)

JEE Advanced mock test 7 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
-2 Negative
11-12Grades

About this test

JEE Advanced Mock Test 7 (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 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

Constrained motion - wedge and block Electrostatics - cavity inside a conductor Thermodynamics - efficiency of a two-step cycle Rotational dynamics - rolling down an incline Simple harmonic motion - two springs and a block Modern physics - photoelectric effect dependencies Rigid body - initial angular acceleration Rigid body - angular speed at the vertical Rigid body - hinge reaction at release Electromagnetic induction - rod on rails with a magnetic brake Optics - lens with a mirror behind it Waves - beats from a moving observer Matrix match - moments of inertia about stated axes Current electricity - RC transient behaviour Gravitation - orbital transfer energy Kinetic theory - mixture mean molar mass and speed Fluid mechanics - buoyancy with two liquids Semiconductors - diode circuit analysis Ionic equilibrium - common ion effect on solubility Coordination - CFSE, magnetism and isomerism together Electrochemistry - concentration cell emf Organic - multi-step synthesis identification Titration - pH at the half-equivalence point Titration - pH at the equivalence point Titration - buffer capacity region Chemical kinetics - parallel first order reactions Thermodynamics - spontaneity across temperature Solutions - molar mass from osmotic pressure Matrix match - named organic reactions Equilibrium - simultaneous shift on dilution Solid state - radius ratio and coordination Atomic structure - ionisation energy of a hydrogen-like ion Inorganic - qualitative analysis with numbers Stoichiometry - empirical formula from combustion Organic - relative acidity with resonance and induction Thermodynamics - entropy of an isothermal expansion Functional equations - determining a function Definite integration - symmetry and periodicity Probability - at least one match in a derangement Complex numbers - roots of unity summation Ellipse - tangent in parametric form Ellipse - intercepts of the tangent Ellipse - minimising the triangle area Matrices - inverse via Cayley Hamilton Matrix match - limits and their values Differential equations - orthogonal trajectories Vectors - reciprocal system and triple products Sequences - convergence and boundedness Application of derivatives - shortest distance to a curve Binomial theorem - coefficient extraction Trigonometry - conditional identity 3D geometry - line of intersection of two planes Limits - expansion of a composite function Probability - independence versus mutual exclusion

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 / -2 for multiple-correct with no partial credit; +4 / 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 block of mass $m$ rests on a frictionless wedge of mass $M$ and inclination $\theta$, itself free to slide on a frictionless floor. When released, the acceleration of the wedge is:
A) $\dfrac{mg\sin\theta\cos\theta}{M + m\sin^2\theta}$
B) $\dfrac{mg\sin\theta}{M + m}$
C) $\dfrac{mg\cos\theta}{M + m\cos^2\theta}$
D) $\dfrac{mg\tan\theta}{M + m}$
Q2.

A neutral solid conducting sphere has a spherical cavity inside it. A point charge $+q$ is placed inside the cavity but not at its centre. Which statements are correct?

One or more options are correct. Partial credit applies.

A) The charge induced on the cavity wall totals $-q$
B) The charge on the outer surface totals $+q$ and is uniformly distributed
C) The electric field inside the conducting material is zero everywhere
D) The field outside the sphere depends on where the charge sits in the cavity
52 more questions in the full paper, each with a worked solution.

Questions people ask

What is the marking scheme for this paper?

+4 / -2 for multiple-correct with no partial credit; +4 / 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?

Calculus-heavy mathematics section.

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