Kochi Entrance Science study plan

Kochi Entrance Science · Give each week a clear focus.

8 weeks · About 6 hours per week

Week 1

Physics - Mechanics

Derive and apply the three kinematic equations to solve 20 projectile and uniformly accelerated motion problems without referring to solutions
Draw complete free-body diagrams for 15 systems involving inclines, pulleys, and friction, then write the Newton's second law equations for each
Solve 12 conservation-of-momentum problems covering elastic, inelastic, and explosion cases, stating the conserved quantity explicitly before calculating
Build a one-page formula sheet for mechanics with units and validity conditions for every equation

A graded 25-question mechanics self-test scored at 70% or higher, with every wrong answer rewritten correctly in an error log

Week 2

Apply work-energy theorem and conservation of mechanical energy to 15 problems including friction and spring systems
Compute torque and angular acceleration for rigid bodies and solve 10 rotational dynamics problems
Solve 10 circular motion problems identifying centripetal force sources in each case
Explain in writing why energy methods and force methods give the same answer for three chosen problems

A timed 40-minute mechanics mock section completed with at least 75% accuracy and a written list of the three error patterns that cost the most marks

Week 3

Solve 15 wave problems on superposition, standing waves, resonance, and the Doppler effect, sketching the waveform for each
Apply Snell's law, total internal reflection, and lens/mirror equations to 15 optics problems with ray diagrams
Solve 15 DC circuit problems using Kirchhoff's laws, including multi-loop circuits and internal resistance
Compute electric field and potential for point-charge and parallel-plate configurations in 10 problems

A single reference sheet of 20 worked circuit and optics problems with diagrams, submitted as a photo or PDF

Week 4

Solve 10 problems combining magnetic force on moving charges with circular motion in a uniform field
Explain electromagnetic induction and Lenz's law through 8 qualitative and quantitative problems
Draw electron configurations and orbital diagrams for the first 36 elements and identify periodic trends in 10 comparisons
Classify 20 substances by bonding type and predict relative melting point, solubility, and conductivity with justification

A mid-plan diagnostic test covering mechanics, waves/EM, and bonding, scored and reviewed, with a revised priority list for weeks 5-8

Week 5

Balance 20 redox equations in acidic and basic media using half-reactions and assign oxidation states correctly
Solve 15 equilibrium problems calculating Kc, Kp, and reaction quotient, including ICE tables
Apply Le Chatelier's principle to predict and justify shifts in 10 systems
Calculate pH, pOH, and buffer compositions for 12 acid-base problems

A completed equilibrium problem set of 30 items with full working shown and a one-page summary of when to use each approximation

Week 6

Describe organelle structure-function pairs for 12 organelles and predict the consequence of each failing
Work through 15 genetics problems covering monohybrid, dihybrid, sex-linked, and pedigree inheritance with probability calculations
Explain the stages of mitosis and meiosis and identify the phase from a described chromosome configuration in 10 cases
Outline DNA replication, transcription, and translation and identify the effect of three named mutation types

A hand-drawn cell cycle and inheritance summary poster plus a 20-question genetics quiz scored at 80% or higher

Week 7

Trace the path of blood through the heart and lungs and relate each structure to its function in 10 short-answer items
Explain gas exchange, nephron function, and thermoregulation using negative feedback loops in three written explanations
Analyze population growth models and predator-prey or energy-flow data to answer 12 ecology questions
Interpret a food web and calculate energy transfer efficiency across trophic levels

Three written physiology explanations of 150 words each plus a completed 25-question ecology and physiology test

Week 8

Solve 20 algebra problems on quadratics, logarithms, sequences, and function transformations
Compute derivatives and apply them to maxima, minima, and rates of change in 15 problems
Solve 12 geometry problems on coordinate geometry, circles, and trigonometric identities
Complete two full timed mock exams under exam conditions and log every error by domain

Two completed full-length mock exams with an error analysis table showing domain-by-domain accuracy and a final one-page revision checklist

Week 2: Score at least 75% on a timed mechanics section and show a written error log covering every missed question

Week 4: Score at least 65% overall on the mid-plan diagnostic spanning domains 1-3 and produce a revised priority list

Week 6: Score at least 80% on the genetics quiz and correctly balance 18 of 20 redox equations

Week 8: Score at least 70% on both full-length mocks and show that no single domain falls below 60% accuracy