You are asking for Last Month Preparation, So I will list out only main topics here. These are as follows:

Mathematics:

General Things about Parabola, Ellipse, Hyperbola

Basics of Limits (for ex.: Lt((Sin x)/x) for x -> 0 is 1)

Integration Formulas

Binomial Expansions

Permutation And Combination

Probability

Inverse Trigonometric Functions

Chemistry

Chemical Equilibrium

Chemical Kinetics

Solid State

Chemical Bonding

Metallurgy

s block elements

Basic Nomenclature

Grignard Reagent

SN1, SN2 Reactions (Reactivity, Stability Orders of Organic Compounds)

Carboxylic Acids and Their Reactions

Biomolecules & Polymers

Physics

Basics of Kinematics

Rigid Body Dynamics (+ Centre of Mass)

Current Electricity (+ Capacitance)

Geometrical Optics

Modern Physics

Logic Gates (for JEE Mains especially)