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  1. Prepare for an exam
  2. /JEE Main
Exam preparation

JEE Main preparation

Engineering entrance in Physics, Chemistry and Mathematics, at the real exam pace.

28 mock tests · 85 questions · 77 problems

With a Standard plan

Paper pattern

Our full JEE Main papers follow this pattern.

  • Physics, Chemistry and Mathematics

    Each subject: 25 questions, 60 minutes

    Correct answer +4, wrong answer −1

The real exam: 75 questions in 3 hours.

Next live test

Everyone starts at the same time. You see your rank when it ends.

  • JEE MainCertificates
    >_JEE Main Physics Weekly Test

    One full JEE Main Physics paper every Sunday: 25 questions, 60 minutes, ranked against everyone

    Every Sunday at 10:00 pm (India time) · 60 min

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    2026-11-01 16:30 · 61 registered for it

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Timed mock tests

Chapter tests and full papers. You get your score as soon as you finish.

  • MathematicsPermutations: Timed Test 10 questions · 25 minStart now
  • ChemistryEnthalpy and Hess's Law: Timed Test 10 questions · 25 minStart now
  • MathematicsComplex Numbers: Timed Test

Practice questions and problems

Hardest first. Try each one on paper before you see the answer.

Physics

Questions

  • AdvancedA satellite moves eastwards in a circular orbit of radius 2R in the plane of the equator, where R = 6400 km is the Earth's radius. Take g = 10 m/s² at the Earth's surface, and the Earth to turn once (eastwards) in 24 h. How often does the satellite pass straight over a given point on the equator?
  • AdvancedA uniform rod of length 0.90 m is held horizontal and dropped from rest, without turning. After it has fallen 0.45 m, its left end strikes a fixed sharp edge and is caught there, so that the rod starts to turn about the edge, as shown in the figure. Take g = 10 m/s². What is the angular speed of the rod just after the impact?

All problems for this exam

  • JEE Main problems →

The full list, by topic and level, each with a worked solution.

Preparing for another exam?

  • JEE Advanced
  • NEET
  • Olympiads
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  • AP
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10 questions · 25 min
Start now
  • ChemistryShapes of Molecules: Timed Test 10 questions · 25 minStart now
  • ChemistryLaws, Atoms and the Mole: Timed Test 10 questions · 25 minStart now
  • MathematicsCompound Angles: Challenge Paper 15 questions · 35 minStart now
    • All Physics papers11
    • All Chemistry papers7
    • All Mathematics papers10
    AdvancedA uniform chain of length 2.0 m and mass 2.0 kg lies on a rough horizontal table, with 0.5 m of it hanging over a smooth, rounded edge, as shown in the figure. The coefficient of friction between the chain and the table is 0.2. The chain is released and slides off. Take g = 10 m/s². What is its speed at the moment the last link leaves the table?
  • AdvancedA light rope passes over a light, smooth pulley fixed to the ceiling. A 50 kg crate is tied to one end of the rope and rests on the floor. A 40 kg monkey holds the other end, as shown in the figure, and starts to climb with an acceleration of 5 m/s² relative to the rope. Take g = 10 m/s². What is the acceleration of the crate?
  • AdvancedA car starts from rest on a flat circular track of radius 50 m. It speeds up along the track with a steady tangential acceleration of 3.0 m/s². The coefficient of static friction between the tyres and the road is 0.50. Take g = 10 m/s². How far along the track does the car go before its tyres begin to skid?
    • More Physics questions for JEE Main →

    Problems with worked solutions

    • HardThe Earth's mass is 81 times the Moon's, and the distance between their centres is 60RE, where RE =…
    • HardA satellite of mass 500 kg moves in a circular orbit of radius 7000 km round the Earth.
    • HardA spool of mass 1.2 kg rests on a rough horizontal floor on its two outer rims, of radius R = 0.15…
    • HardA block of mass 1.0 kg lies on a rough horizontal floor.
    • HardA small ball of mass 0.30 kg is tied to a vertical rod by two light strings, each 0.50 m long.
    More Physics problems for JEE Main →

    Chemistry

    Questions

    • HardRank Cl₂O, H₂O and OF₂ by bond angle, from the largest.
    • HardRank the four chloromethanes by dipole moment, from the largest.
    • MediumRubidium chloride vapour has a dipole moment of 10.51 D and a bond length of 279 pm. What is its percent ionic character?
    More Chemistry questions for JEE Main →

    Problems with worked solutions

    • HardFor N₂O₄(g) ⇌ 2NO₂(g), Δ H° = +57.2 kJ/mol and Δ S° = +175.8 J/(K mol).
    • HardBreaking one mole of CH₄(g) into atoms takes 1665 kJ.
    • MediumMethane cannot be made cleanly from carbon and hydrogen, so its Δf H° is found with Hess's law.
    • MediumThe B₂ molecule has 10 electrons. Write its configuration, find its bond order, and find the number…
    • MediumSingly charged ions of boron-10 and boron-11 are accelerated through the same voltage and enter the…

    Mathematics

    Problems with worked solutions

    • HardThree neighbours in a row of Pascal's triangle, ⁿC_(r - 1), ⁿCr and ⁿC_(r + 1), are in the ratio 1…
    • HardAll the arrangements of the letters of TIGER are listed in dictionary order.
    • HardThe equation x² + px + q = 0 has real p and q.
    • HardHow many real solutions does the equation sin x = x/10 have?
    • HardFind the period of f(x) = |sin x| + |cos x|.
    More Mathematics problems for JEE Main →
    More Chemistry problems for JEE Main →