JEE Main 2025 April 7 Shift 1 Mathematics Question Paper & Solutions

JEE Main 2025 April 7 Shift 1 Mathematics Question Paper & Solutions: The JEE Main 2025 April 07 Shift 1 Mathematics question paper is a crucial step for students seeking admission to premier engineering colleges such as IITs, NITs, and IIITs. The exam checks students’ grasp of mathematics concepts, problem-solving ability, and speed. As the competition is high, access to the question paper and detailed solutions is crucial for students to assess their performance and prepare themselves better for the next shifts or subsequent exams.

The official question paper and answer key will be provided by the National Testing Agency (NTA). It will be uploaded on the website after the exam.

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JEE Main 2025 April 7 Shift 1 Mathematics Question Paper & Solutions FAQs

When will JEE Main 2025 April 07 Shift 1 Mathematics solutions come?

The solutions are expected to be out within hours of the exam on reliable coaching websites such as Aakash and other learning sites.

Where can I download the JEE Main 2025 April 07 Shift 1 question paper?

You can get the paper from the official website of NTA or authentic coaching centers such as Aakash Educational Institute offering PDF links post-exam.

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Difficulty level may differ from session to session. Going by past trends, April exams have seen varying difficulty in different shifts.

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Carefully study the explanations, emphasise correcting errors, and attempt similar questions to improve weak concepts for future shifts.

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Accuracy Precision and Error in Measurement	Ampere	Amplitude Modulation
Anemometer : Measurement of Wind Speed	Angular Acceleration	Atomic Theory
Audible and Inaudible Sound	Average Speed and Average Velocity	Average Velocity
Avogadros Number	Avogadros Hypothesis	Azimuthal Quantum Number
Balanced Force	Bar Magnet	Biconvex Lens
Boyles Law	Buoyancy	Calorimeter
Carnot Engine	Celestial Bodies	Centripetal And Centrifugal Force
Concave and Convex Lenses	Concave Convex Mirrors	Contact and Non Contact Force
Controlled Thermonuclear Fusion	Convection Currents	Convex Lens
Convex Mirror	Destructive Interference	Difference Between Conduction Convection and Radiation
Difference Between Electric Field and Magnetic Field	Difference Between Heat And Temperature	Difference Between Series And Parallel Circuits
Differences Between Acceleration And Velocity	Distance and Displacement	Distance Time Graph
Electrical Force : Electric Forces and Their Types	Electromagnetic Waves : Definition, Equation and Properties of Electromagnetic Waves	Electromagnetism
Electron Spin	Fluid Flow : Bernoullis Equation Derivation and Fluid Mechanics	Fluid Friction : Types and Factors of Fluid Friction
Frames of Reference : Inertial and Non- Inertial Frame of Reference	Frequency and Wavelength	Frictional Force
Importance of Hydrosphere	Instantaneous Speed and Velocity	Introduction to Motion
Kinetic and Potential Energy Difference	Law Of Conservation of Energy	Layers of the Earth
Light Energy	Light Sources	List of physics scientists and Their inventions
Loudness of Sound	Magnetic Dipole Moment	Magnetic Field
Non - Contact Force	Non - Renewable Energy	Ohms Law
Optics	P Wave	Physics Symbols
Plane Mirrors	Poissons Ratio	Projectile Motion
Properties of Water : Anomalous Expansion of Water	Radius of Gyration	Reflection of Light
Reflection of Waves	Relative Density	Resonance
Reverberation	Rolling Friction	Rotation and Revolution
Screw Gauge	Semiconductors and Insulators	Sliding Friction
Speed Time Graphs	Static Friction	Stefan Boltzmann Law
Stress	Tension	Tension Force
Thermometer: Clinical Laboratory Thermometer	Types of Rocks	Types of Waves
Uniform Motion and Non Uniform Motion	Unit of Voltage	Uses of Convex Lens
Uses Of Convex Mirror	Uses of Electromagnet	Uses of Optical Fibre
Wave	Wavelength of Light	What is Scattering of Light
Working of Electric Bell	Conventional and Non-conventional Sources of Energy	Buoyant Force
Bulk Modulus of Elasticity	Bernoulli’s Principle	Angular Momentum
Difference Between Speed And Velocity	Force	Unit of Heat
Difference between Distance and Displacement	Simple Microscope	Derivation Of Equation Of Motion
Thermometer: Clinical & Laboratory Thermometer	Difference between Concave and Convex Lens	Derivation Of Lens Maker Formula
Unit Of Pressure	Velocity	Uses of Plane Mirror
Wave Theory of Light	Unit of Density	Unit of Light
Unit of Force	Unit of Magnetic Field	Unit of wavelength
Unit of Viscosity	Uses of Electroplating	Young's Modulus
What is the Scattering of Light	Lenz Law	Space Wave Propagation
Schrodinger Wave Equation	Relation between Fahrenheit and Celsius	Refractive Index
Potentiometer Working	Pascal Law	Oscillatory Motion
Optical Instruments	Newton's Laws of Motion - First Law	Modulation and Demodulation
Magnetic Flux	Lens Formula and Magnification	Kaleidoscope
Faradays Law	Epsilon Naught Value	Energy Bands
Electrostatics	Electroscope	AC Generator
Unit of Current	Lithosphere	Bending Equation Derivation
Difference Between Pound and Kilogram	Semiconductor Devices	OTEC - Ocean Thermal Energy Conversion
Hall Effect	Rectilinear Propagation of Light	Difference Between Ammeter and Voltmeter
Coefficient of Linear Expansion	Ampere’s Law	Cyclone and Thunderstorm
Save The Environment From Pollution	Particle Nature of Light	Types of DC Motor
Uses Of Transistor	Derivation of Phase Rule	Unit of Humidity
Difference between Land Breeze and Sea Breeze	Relation Between Critical Angle And Refractive Index	Derivation of Escape Velocity
Unit of Speed	Elastic Collision	Linear Velocity
Reversible and Irreversible Processes	Relation Between Density And Volume	Relation Between Group Velocity And Phase Velocity
Thermal Stress	Mirrors	Conversion of Units
Modulation	Unit of Weight	Stokes Law Derivation
Kirchhoff’s Second Law	Zener Diode as a Voltage Regulator	Quark
Difference Between Discovery and Invention	Nuclear Fission	Ultrasound
Principle Of Calorimetry	Differences Between Magma and Lava	Types Of Wind
Difference Between Work and Energy	Schottky Diode	Kinetic Theory Of Gases
Thermal Properties of Materials	Relation Between Kinetic Energy And Momentum	Work Done By A Variable Force
Solenoid and Toroid	Difference between Light Microscope and Electron Microscope	Doppler Effect Derivation
Determine Refractive Index of a Glass Slab using a Travelling Microscope	Relation between Torque and Speed	Current Density
Electric Displacement	Impending Motion	Latent Heat of Water
Infrared Radiation	Vector Product Of Two Vectors	Alpha Decay1
Centripetal Acceleration	Newton's Third Law Of Motion	Biogas Energy
Tracing the Path of a Ray of Light Passing Through a Rectangular Glass Slab	Unit of Conductivity	Pulley
Resistor	LCR Circuit	Difference Between Force and Pressure
Viscosity	Einstein's Explanationx	Sea Breeze and Land Breeze
Types of Lever	Permeability	Adiabatic Process
Fleming's Left Hand Rule And Right Hand Rule	Spherical Mirrors	Heat Transfer By Convection
Stress and Strain	Displacement Current	Unit of Electric Field
Electromagnetic Induction	Diode	Critical Velocity
Carbon Resistor	Electric Charge	Derivation of Continuity Equation
Mach Number	Coherent Sources	Rigid Bodies
Resolving Power of a Microscope and Telescope	Angular Displacement	Unit of Momentum
Chandrasekhar Limit	Difference Between Real Image and Virtual Image	Electromagnets
Viscosity	Einstein's Explanationx	Sea Breeze and Land Breeze
Kinetic Energy	Van De Graaff Generator	Derivation of Kinetic Energy Formula
Kinetics and Kinematics	Frequency, Time period and Angular frequency	Unit of Torque
Capacitance	Difference Between AM and FM	Boltzmann’s Constant
Planck’s Constant	Laws of Reflection	Drift Velocity
Malthusian Theory of Population	Stars Planets and their Difference	Tensile Stress
Joule-Thomson Effect	Stefan Boltzmann Constant	Compressive Stress
Wave Function	Difference Between Density and Specific Gravity	Energy Stored in a Capacitor
Determine Radius of Curvature of a Given Spherical Surface by a Spherometer	Uniformly Accelerated Motion	Conservative Force
Biot Savart Law	Deuteron Mass	Power
Power of a Lens	Refraction and Dispersion of Light	Sphygmomanometer
Uniform Circular Motion	Unit of Distance	Unit of Energy
Uses of Rectifier	Unit of Inductance	Law Equipartition Energy
Periodic Motion	Determination of Focal Length of Concave Mirror and Convex Mirror	Optical Density
Characteristics of a Transistor	Scintillation Counter	Difference Between Earthing And Grounding
White Light	Optical Fiber	Relative Speed
Unit of Work	Coefficient of Viscosity	Neutrons, Isotopes, Isotones And Isobars
Electric Circuit	Difference Between Scalar and Vector	Difference Between Two Stroke and Four Stroke Engines
Unit of Velocity	Zener Diode	Gamma Rays - Electromagnetic Spectrum
Permittivity and Permeability	Tidal Energy	Difference Between Resistance and Resistivity
Uses of Vernier Calipers	Human Eye Function	Shearing Stress
Value of Gravitational Constant	Value of Electron	Difference Between LCD and LED
Pinhole Camera	Single Slit Diffraction	Difference Between Circuit Switching and Packet Switching
Wheatstone Bridge	Unit of Resistance	Banking of Road
Scalar and vector	Density of Water	Cyclotron
Unit of Specific Resistance	Types of Cables	Modern Physics
Uses of Concave Mirror	Magnetic Moment	Law of Conservation of Momentum Derivation
Magnet	Rectilinear Motion of Particles	Difference Between Mass and Weight
Archimedes Principle	Refraction of Light	Types of Motors
Types of Gears	Solar Energy and Photovoltaic Cell	Escape Velocity and Orbital velocity
Natural Sources of Energy	Difference Between Frequency Modulation and Amplitude Modulation	Fick’s Law of Diffusion
Faraday Electromagnetic Induction Experiment	Prism Dispersion	Continuous Charge Distribution
Capacitor Types	Geothermal Energy	Force and Momentum
Resistors in Series and Parallel Configuration	Work and Power	Raman Effect
Difference Between Asteroid and Comet	Thermal Energy Storage	Types of Connectors
Hydroelectricity and Hydropower Plant	Conduction of Electricity in Liquids	Linear Accelerator
Maxwell's Relations	AC Voltage Resistor	Law of Conservation of Charge
Kinetic Theory of Gases Assumptions	Reflection of Light Image	Centre of mass of continuous mass distribution
Speed	Velocity	Motion Parameters
Acceleration	Derivation of equations of motion	Vernier Caliper
Position Time and Velocity time graphs	Motion Under Gravity	Classification of animals based on levels of organisation
Tension	Screw Gauge	Scalar and Vector
Types of Vector	Beats	Force its unit and dimension
Newtons First Law Of Motion	Newtons second law of motion	Linear Momentum
Kinetic Friction	Vector Subtraction	Lamis Theorm
Vector Addition	Parallax Method	Rule for Significant Figure
Power	Dimension	Dimensional Analysis
Difference between heat and temperature	Measurement of Temperature	Centre of mass of solid hollow sphere hemisphere
Work Energy Theorem	Potential Energy	Application of Newtons second law of motion
Newton Third Law of Motion	Conservation of Mechanical Energy	Free Body Diagram
Resultant Force	Vertical Circular Motion	Work Done
Coulombs Law	Electric Dipole	Stress
Normal Stress and Types	Moment of Inertia	Waves
Transverse Wave	Connected Motion	Longitudinal Strain
Radiation	Young's Modulus	Convection
Dipole Electric Field	Static Friction	Nuclear Fission
Pseudo Force	Nuclear Fusion	Beta Decay
Nuclear Force	Alpha Decay	Energy in Simple Harmonic Motion
Lamis Theorem	Velocity and Acceleration Time Graph	Moment of Inertia of Rigid Bodies
Gauss’s Law	Periodic and Oscillatory Motion	Newton's Law of Cooling
Perpendicular & Parallel Axis Theorem	Friction On Inclined Plane	Kirchhoff's Law
Shear Strain	Gamma Decay	Charge Contained Symmetrical Objects
Parallel and Perpendicular Mirrors	Photoelectric Effect	Transformer
Density	Surface Tension	Angle of Contact
Longitudinal Wave	Heat Capacity	Centre of Gravity
Permanent Magnets and Electromagnets	Torque	Einstein's Photoelectric Equation
Progressive Wave	Inclined Plane Mirrors	Types of Transformers
Velocity of Image in Plane Mirror	Concave Lens	Eye and its Defects
Fluid	Atmospheric and Gauge Pressure	Excess Pressure Inside Bubble and Drop
Capillarity	Sound Wave	Pascal's Law
Stress Strain Curve	Compound Microscope	Telescopes
Power in AC Circuit	Impedance in Series LCR Circuit	Mean and RMS Value
Mirror Formula	Alternating Current	Magnification in Spherical Mirror
Cells	Power of Mirror and Lens	Resistor Color Code
Kirchhoff's Rule	Conversion of Galvanometer to Ammeter	X-rays Production
Properties of X-Rays	Continuous X-ray	Thermal Expansion
Hysteresis Curve	Angular Impulse	Interference of Sound
Simple Pendulum	Simple Harmonic Motion	Voltmeter
Ammeter	Wheatstone Bridge	Meter Bridge
Prism	Superposition of Waves	Interference of Waves
Resolution of Vectors	Thermal Stress and Strain	Velocity and Acceleration
Scalar Product	Vector Product	Torsional Pendulum
Combination of Resistors	Electroplating Uses	Scope and Excitement of Physics
Conduction	What is Science	Speed of Traveling Wave
Distance Formula	Kinematics of Circular Motion	Non Uniform Motion
Gamma Rays	Radio Waves	Displacement
Electromagnetic Spectrum	Maxwell’s Equations

118 Elements and Their Symbols and Atomic Numbers	Acetone	Acid And Base Difference
Acids Bases and Salts	Actinides	Addition Reaction
Adsorption Chromatography	Aldol Condensation	Alkali Metals
Ammonium Chloride	Applications of Redox Reactions	Argon
Arrhenius Equation Rate Constant And Temperature	Atomic Number Mass Number	Aufbau Principle
Aufbau Principle, Paulis Exclusion Principle and Hands Rule	Bakelite: Structure and Uses	Benzene Reactions
Benzoic Acid - Structure and Properties	Biodegradable and Non Biodegradable	Calcium Oxide
Cathode Ray Experiment	Charles Law	Chemical And Its Composition
Chemical Formula of Common Compounds	Classification Of Carbohydrates and Its Structure	Classification of Organic Compounds
Coefficient of Viscosity - Definition, Formula and Example	Colligative Properties beRelative Lowering of Vapour Pressure	Colloidal Solution
Components of Air	Condensation	Conformation
Cracking Meaning	Crystallization	Decantation
Decomposition Reaction	Dehydration of Alcohols	Difference Between Alkali and Base
Difference Between Atom And Ion	Difference Between Atom and Molecule	Difference Between CNG and LPG
Difference between Compound and Mixture	Difference Between Element And Compound	Difference Between Exothermic and Endothermic Reactions
Difference Between Mixture and Solution	Difference Between Molecule and Compounds	Difference Between Organic And Inorganic Compounds
Difference between Physical and Chemical Change	Difference between Vapor and Gas	Disaccharides
Discovery of Protons and Neutrons	Distillation	Effects of Burning Fossil Fuels
Electromeric Effect	Electron Configuration	Electronic Configuration of First 30 Elements
Electronic Configuration of Iron	Electroplating Process	Endothermic Reaction
Enthalpy Change	Enzyme Catalysis	Ester
Ester Hydrolysis	Ethanoic Acid	Exothermic Reaction
Filtration	Fuel Types	Functions of Nucleic Acids
Glycerin	Glycine Structure	Glycogen
Gravimetric Analysis	Group 17 Trends Properties	Heat Capacity Cp Cv Relation
Heavy Water	Homogeneous Mixture and Heterogeneous Mixture	Hunds Rule
Hybridization	Hydrochloric Acid	Hydrogen Peroxide
Introduction: Importance of Forest	IR Spectroscopy	Iron
Krypton	Lewis Dot Structures	Metallic Bonds
Metals and Nonmetals	Methanol	Mineral Resources
Mixtures	Modern Periodic Table and Its Significance	Mole Concept
Monosaccharides	NaHCO3	Natural Polymers
Neutralization Reaction	Non Metals	Oxalic Acid
Oxygen	Periodic Table Elements	Periodic Trends in Properties of Elements
Pesticides	Phenol Preparation	Phosphoric Acid
Physical and Chemical Properties of Carbon	Physical And Chemical Properties of Water	Physical Change and Chemical Change
Polarity	Polymers Uses	Polyvinyl Alcohol
Positron	Potassium	Potassium Dichromate - Formula, Properties and Uses
Potassium Permanganate	Precipitation Reaction	Preparation of Benzene
Preparation Properties and uses of Sodium Chloride	Properties of Boron Family	Properties of Solution
Redox Titration	Relation Between Normality And Molarity	Rusting Iron Prevention
Rutherford Atomic Model	Rutherford Atomic Model	Shapes of Molecules Vsepr Theory
Shapes of Orbitals	Sieving	SilkWorm - Life Cycle of Silkworm, Diagram
Silver Nitrate	Soaps And Detergents	Sodium Hydroxide
Structure of Benzene	Sublimation	Synthetic Fibres And Natural Fibres
Synthetic Polymers	Tollens Test	Toluene
Transition Metals	Tyndall Effect	Types of Organic Reactions
Types of Solutions	Types of Titration - Acid Base Titration	Unsaturated Solutions
Ununoctium	Ununpentium	Uses of Acetone
Uses of Air	Uses of Bauxite	Uses of Carboxylic Acid
Uses of Coal	Uses of Ethers Health In Care Industry	Uses of Formaldehyde
Uses of Graphite	Uses of Methanol and Ethanol	Uses of Minerals
Uses Of Nitric Acid	Uses of Phenol	Uses of Propanol
Uses of Sulfuric Acid	Uses of Water	Valence Bond Theory
Volumetric Analysis	Waste	Water Cycle Process
What is Dipole Moment?	What is Eutrophication?	What is Metallurgy?
Wurtz Reaction	Mohr’s Salt Titration with KMnO4	Gattermann Reaction
Benzene	Brown Ring Test	Calcium Carbonate
Cotton and its Various Uses	Difference between Petrol and Diesel Engine	Difference between Sigma and Pi Bond
Element-Manganese (Mn)	Friedel Crafts Reaction	Hofmann Elimination
Isomerism	Laws of Chemical Combination	Mannich Reaction
Methods of separation	Molisch’s Test	Name Reactions
NMR Spectroscopy	Non – Aqueous Titration	Ozonolysis Mechanism – Ozonolysis of Alkenes and Alkynes
Periodic Classification of Elements	Pinacol Pinacolone Rearrangement	Planck’s Quantum Theory
Pseudo First Order Reaction	Rosenmund Reduction Mechanism	Salt Analysis
Saponification	Science in Everyday life and Its Importance	Sericulture: Rearing of Silkworm to Produce Silk
Spectrophotometer Principle	Zone Refining
Reactivity Series	Difference between isotropic and anisotropic	Introduction to p-Block elements
Plant fibres	Inert Gases: Uses	Benzoin Condensation
Difference between primary cell and secondary cell	Partition Chromatography	Applications of colloids
Displacement Reactions	Handpicking	Biogas: Uses of Biogas
Acid Rain	Types of Chemical Reactions	SN2 Reaction Mechanism
Complexometric Titration	markovnikov rule	Kohlrausch Law
Electrode	Valency Chart	Order of Reaction
Band Theory	Difference Between Rusting and Corrosion	Potentiometric Titration
Frenkel Defect	Deforestation	Stephen Reaction Mechanism
Gattermann – Koch Reaction Mechanism	Electronegativity	Industrial Waste: Types
Ethylene	Charge to Mass Ratio of an Electron	Fehling Solution
Photochemical Reactions	Difference Between Endpoint and Equivalence Point	Second Order Reaction
Etard Reaction	Forms of water	Preparation of Acetanilide
Metallic Minerals and Non-Metallic Minerals	Ferric Chloride	Henry's Law
Preparation of Mohr's salt	Schottky Defect	Claisen rearrangement
Calcium sulphate	Sodium carbonate	Rubber
Ethyl acetate	Conductometric Titration	Resorcinol
Difference Between Evaporation and Condensation	States of Matter	Boric Acid
Types of Minerals	Finkelstein Reaction	Electronegativity Chart
Difference between Solid, Liquid and Gas in tabular form	Aromaticity	Drawbacks of Rutherford's Atomic Model
Thermosetting Polymers	Preparation of Alkanes	Examples of Bases
Suzuki Coupling Reaction	Standard Electrode Potential	Disadvantages of Plastics
Reducing Agent	Van't Hoff Factor	Hard Water and Soft Water
Organometallic compounds	Gay Lussac's Law	Slaked Lime
Borax	Tetravalency of Carbon	Boyle's Law
Ellingham Diagram	Crystal Defects : Point Defects	HVZ Reaction (Hell-Volhard-Zelinsky Reaction)
Classification of Drugs	Preparation of Sulfuric Acid	Lucas test
Xenon Difluoride	Bravais Lattice	Classification of Oxides
Elimination Reaction	preparation of polythene, Teflon and polyacrylonitrile	Difference between cations and anions
Uses of Limestone	Fructose	Azeotropes
Lewis Acid and Base	Emulsification	Dielectric properties of solids
Zwitterion	Birch Reduction Mechanism	Oxidation and Reduction
Electrophilic Substitution Reaction	Suspensions	Aromatic Compounds
Ores and Minerals	Adsorption theory of heterogeneous catalysis	Wittig Reaction
Difference between evaporation and boiling	Intensive And Extensive Properties Of Matter	Electronic Configuration of Group 16 Elements
Difference Between Elements and Atoms	Sodium Oxide	Gypsum
Difference Between Alloy and Composite	Chemical Equations	Thorium
Lead Acid Battery	Isotopes of Hydrogen	Significant Figure Rules
Electrophilic Addition Reactions Of Alkenes	Isothermal Expansion of an Ideal Gas	Potassium Chloride - KCl
Aluminum Oxide	Difference Between Acetic Acid and Glacial Acetic Acid	Difference Between Polar and Nonpolar
Difference Between Baking Powder and Baking Soda	Test for Phenolic group	To prepare colloidal solution of starch
Uses of Mica	Pi Bonds	Potassium Chlorate
Schmidt Reaction	High density Polyethylene	Huckel's Rule
Discovery of Proton	Aluminium Ore: Extraction of Aluminium	Benzene Hexachloride
Caustic Potash or Potasium Hydroxide	Electromagnetic Radiation - Wave Nature	Atomic Number and Mass Number, Isotopes and Isobars
Preparation of Potash Alum	Beckmann Rearrangement	Heterogeneous Equilibrium
Butane	Factors Affecting Electrolytic Conductance	Scandium
Homogeneous Equilibrium	Phenols Nomenclcature	Galvanic Corrosion
Chlorine Trifluoride	Robinson Annulation	Copper
Pyridine	Silver Carbonate	Harmful Effects of Radiation
Water	Electrolytes and Nonelectrolytes	Rules for filling Electrons in Orbitals
Purification of Colloids	Instantaneous and Average Rate of Reaction	Density
Hydrogen	Hydrogen Peroxide	Strength of Solution
Chromatography	Phosphorus	Phosphorus Halides
Hydrogen	Glucose	Electrolysis
Discovery of Electron	Catalysis	Receptors as Drug Target
Nutrition Respiration & Reproduction in Eubacteria	Charge of Electron	Osmosis
Acidic Buffer Solution	Basic Buffer Solution	Covalent Bond
Voids

Additive and Multiplicative Identity	Adjacent and Vertical Angles	Algebra Symbols
Area Of Hemisphere	Area Of Hollow Cylinder	Area of Pentagon
Area of Rectangle	Bodmas Rule	Branches of Mathematics
Chance and Probability	Circumference of a Circle	Congruence Of Triangles
Construction of Angles	Cuboid and Cube	Decimals In Daily Life
Divisibility Rules	Dot Product of Two Vectors	Empirical Probability
Equivalent Fractions	Even Odd Prime Composite Numbers	Frequency Polygons
Geometric Tools	Integers	Lines
Maths Project	Number System	Numeral System
Odd Numbers	Perfect Cube Of Numbers	Perfect Numbers
Perpendicular Bisector	Precision	Prime Factorization of Hcf And Lcm
Prime Numbers	Probability and Statistics Symbols	Quadrilateral
Reflection Symmetry	Roman Numerals	Set Theory Symbols
Surface Area and Volume	Three Dimensional Shapes	Triangular Numbers
Trigonometry	Trigonometry Table	Two Lines Symmetry
Types of Angles	Value of Pi	Variables And Constants In Algebraic Expressions
Z Score Table	Addition Table	Algebraic Expression
Algebraic Identities	Apollonius Theorem	Applications of Trigonometry
Area of a Sphere	Area of Equilateral Triangle	Area of Isosceles Triangle
Area of Quadrilateral	Area of Trapezium	Area of Triangle
Area Segment Circle	Ascending Order	Average and Mean
Basic Proportionality Theorem	Bisection Method	Centroid
Circumcenter of a Triangle	Cm to inch converter	Co-Prime Numbers
Compound Interest	Coordinate Geometry	Correlation
Cos 30 Degrees	Cube	Cylinder
Difference Between Fraction And Rational Numbers	Difference Between Percentage and Percentile	Differential Equations
Differentiation Formulas	Even Numbers	Factorisation
Frequency Distribution Table Statistics	Graphical Representation	HCF and LCM
Height and Distance	Horizontal Line	How to Find the Percentage of Marks?
Math Tricks	Maths Equations	Mensuration
Obtuse Angled Triangle	Odd Numbers	Onto Function
Pentagon	Pentagonal Prism	Perimeter of Square
Perimeter of Triangle	Probability	Profit and Loss
Properties of a Triangle	Properties of Isosceles Triangle	Rational Numbers
Rational Numbers and Their Properties	Real Number	Relation between Mean, Median and Mode
Rhombus	Rotation	Semicircle
Sin 30 Degrees	Solving Linear Equations	Square Root
Statistics	Supplementary Angles	Surface Area of a Hemisphere
Surface Area of a Sphere	Surface Areas and Volume	Symmetric and Skew Symmetric Matrix
Tables of 2 to 30	The volume of a Cylinder	Trapezium
Triangular Prism	Trigonometric Ratios	Types of Triangles
Types of Vectors	Value of Log Infinity	Value of Root 3
Value of Root 5	Vertical Line	Volume of a Cube
Volume of Hemisphere	Whole numbers	Algebraic Identities
Differentiation and Integration	Greater Than and Less Than Symbols	Laplace Transform
Linear Graph	Trigonometric Ratios	Orthocenter
Orthogonal Matrix	Square Root from 1 to 25	Log 0 Value
Altitude of a Triangle	Binary Subtraction	Cayley Hamilton Theorem
Diagonal Matrix	Difference Between Constants and Variables	Difference Between Linear and Nonlinear Equations
Geometric Progression Sum of GP	Like Fractions Unlike Fractions	Difference between Place Value and Face Value
Sin 60 Degrees	Singular Matrix	Value of Cos 120
Antilog Table	Consistent And Inconsistent Systems	Cube Root of Unity
Direct and Inverse Proportion	Euclid Division Lemma	Extrapolation
Frustum of Cone	Greater Than Symbol	Elementary Transformation of Matrix
Integration	Limits and Derivatives	Methods of Integration
Polynomial	Rational Numbers Between Two Rational Numbers	Relations and Functions
Relation and Its Types	Right Circular Cone	Sequence and Series
Square Root Of 4	Square Root Of 5	Square Root Of 7
Statements in Mathematical Reasoning	Trapezoids	Binary Multiplication
Definite Integral	Square Root of 1	Value of sin 15
Continuity and Differentiability	Axiomatic Definition of Probability	Area Of Quadrant
Rectangle	Operations on Rational Numbers	Pascals Triangle
Acute Angled Triangle	Angle of Elevation	Angle Sum Property of a Triangle
Tables of 2 to 30	The volume of a Cylinder	Trapezium
Area of a Scalene Triangle	Centroid of a Triangle	Heptagon
Octagon	Permutation and Combination	Scalene Triangle
Similar Triangles	Surface Area of Cube	Surface Area of Cylinder
Volume of Cone	Volume of Cuboid	Value of Log 1
Decimal Number System	Conversion of Units	What is Proper Fraction?
Rolle's Theorem	Vertical Angles	Trigonometry Values
Sec 0	Greatest Integer Function	Mean Deviation & Frequency Distribution
Concentric Circles	Symmetry	Variance
Laws of Exponents	Length of Tangent	Alternative Hypothesis
Control Charts	Straight Angle	LCM Of Two Numbers
Bivariate Analysis	Surds	Square Root of 10
Cos 90 Value	Prime Numbers and Composite Numbers	Decimal to Binary
Difference Between Square & Rhombus	Symmetric Matrix	Relation Between Inch and cm
Sin 45 Value	Divisibility Rules For 13	Profit and Loss Percentage
Linear Pair Of Angles	Line Segment	Rational and Irrational Numbers
Euclid Geometry	Sec 30	Complimentary and Suplementary Angles
Square root and Cube Root	LCM	Nature of Roots of a Quadratic Equation
Vertices, Faces and Edges	Quadrilateral Angle Sum Property	Geometry Symbols
Isosceles Triangle	Numbers in Words	Angle Between Two Planes
Complex Numbers	Addition and Subtraction of Integers	Natural Numbers and Whole Numbers
Is 91 a Prime Number?	Difference Between Cube and Cuboid	Distributive Property
Difference Between Rhombus and Parallelogram	Skip Counting	Trigonometry Functions of Sum and Difference of Angles
Logarithm Table	Vector And Scalar Quantities	Data Organization
PEMDAS	Secant of a Circle	Vector Space
Angle Bisector Theorem	Mutually Exclusive Events	Statistical Inference
Difference Between Area and Volume	How to Find Prime Numbers?	3D Shapes
Division of Line Segment	Binary Addition	Ordinate
Line Graph	Boolean Algebra	Latus Rectum of Conic Section
Differential Equation And It's Types	Involute	Similarity of Triangles
Simple Equations Application	Types of Polygon	Equation of A Circle
Law of Tangents	Data Sets	Binary to Octal Conversion
Rational Numbers on a Number Line	Cross Section	Construction of Triangle
Circles	Factors of 36	Probability Distribution
Difference Between Parametric and Non-Parametric Test	Number Patterns Whole Numbers	Parts of Circle
Square Root of 9	Parallel Lines	Oblique Sketch
Direct Proportion	Cosine Rules	Construction of Quadrilaterals
Right Circular Cylinder	Hexadecimal number system	Remainder Theorem
Volume of a Prism	Missing Numbers	Sec 90
Derivatives	Multiple of 9	Metric System of Measurement
Parallelogram, Trapezium and Kite	Cumulative Frequency Distribution	Ratio to Percentage
Factors of 98	Total Probability Theorem	Commutative Property
Basic Set Theory	Difference Between Area and Surface Area	Identity Function
Geometric Distribution	Combination	Sum of Squares
Factors of 25	Triangle Inequality	Complement of a Set
Factor of 105	Arc	Categorical Data
Construction of a Rhombus	Hexadecimal to Octal Conversion	Decimal Expansion of Rational Numbers
Distance Between Two Points	Estimation of Numbers	Multiplication Theorem of Probability
Properties of Definite Integrals	Right Angle Triangle Theorem	Section Formula in 3 Dimension
Solids	Trigonometric Equations	Variance and Standard Deviation
Disjoint Set	Application of Linear Equations	Area and Perimeter
Factors of 91	Concave Polygon	Factors of 42
General Equation of a Line	Factors of 100	Factors of a Number
Multiplicative Inverse	Linear Differential Equations	Inverse Cosine
Comparing Quantities using Percentage	Fractional Part Function	Definition of Signum function
Trigonometric Functions	Ellipse	Integration By Parts
Sets	Matrix	Types of Sets
Bijective Functions	Algebra of Functions	Composite Functions
Binary Operations	Domain Codomain & Range Functions	Parametric Equation of a Circle
Venn Diagram	Tangent to a Circle	Binomial Theorem
L'Hospital Rule	Relations	Operation on Sets
Particular Cases of a Circle	Terms Related to an Ellipse	Equality of Matrices
Reflexive, Symmetric & Equivalence Relation	Types of Functions	Matrix Multiplication
Tangents to an Ellipse	Inverse Trigonometric Functions

Active Transport	Adaptive radiation evolution	Aerobic and Anaerobic Respiration
Agricultural Implements	Algae	Alimentary Canal Anatomy
Angiosperms And Gymnosperms Difference	Animal Cell	Apiculture Beekeeping
Apoplast	Asexual Reproduction Animals	Autotrophic Nutrition
Biodiversity	Biotic and Abiotic	Bryophyta
Budding	Camouflage	Cattle Farming Animal Husbandry
Cell Structure and Function	Cell Wall and Cell Membrane	Cells
Chloroplasts	Chromatin	Classification of Animal Kingdom
Composition of Lymph	Conduction of Nerve Impulse	Cyclic and Non Cyclic
Cyclic Photophosphorylation	Cytoplasm Structure Function	Difference Between Active and Passive Transport
Difference Between Archaea And Bacteria	Difference Between Blood And Lymphth	Difference Between Cerebellum And Cerebrum
Difference Between Chromosome And Chromatid	Difference Between Diffusion and Osmosis	Difference Between DNA and RNA
Difference Between Haploid And Diploid	Difference Between Plant Cell and Animal Cell	Difference between Renewable and Non Renewable Resources
Difference Between Unicellular And Multicellular Organisms	Difference Between Vertebrates and Invertebrates	Difference between Voluntary and Involuntary Muscles
Difference Between Xylem and Phloem	Different Types Ecological Pyramids	Diffusion - Means of Transport
Disadvantages of Dams	Ecology	Endemic Species
Endocrine System Ductless Glands	Energy Flow In Ecosystem	Excretion and Its Importance
Food Production	Food Web	Fragmentation
Gemmules	Gibberellins	Grassland Adaptations
Guttation	Gymnosperms	Harmful Microorganisms
Homeostasis	Human Body Anatomy	Human Heart
Invertebrates	Kingdom Monera Protista Fungi	Law of Segregation and Law of Dominance
Life process	Light-dependent Reactions	Lipids
Living Things	Macromolecule	Meiosis 1 Stages and Process
Mendelian Disorders	Microbodies	Modern Synthetic Theory of Evolution
Monera	Nephron Function Renal Tubules	Nuclear Membrane
Nucleolus	Nucleus	Our Environment
Parasitism	Parts of Plants	Passive Transport
Plant Cell	Plant Kingdom Plantae	Plant Respiration
Plants	Plastids	Protista
Red Data Book	Reproductive System of Earthworm	Ribosomes
Scientific Names of Animals and Plants	Seed germination	Sensory Perception
Snail Skeletal System	Spermatogenesis	Structure Of Eye
Taxonomic Hierarchy	Taxonomy	Algae
Thallophyte	Types of Soil	Vacuoles
What Is Adaptation	Agricultural Practices	Animal Kingdom
Alimentary Canal	Coelenterata	Conservation of Forest and Wildlife
Difference between Endosmosis and Exosmosis	Difference between Afforestation and Deforestation	Difference between Algae and Fungi
Difference between Cereals and Pulses	Difference Between Fragmentation and Regeneration	Difference Between Neurosis and Psychosis
Difference Between Nucleotide and Nucleoside	Difference Between Sea and Ocean	Difference Between Turtles and Tortoises
Difference Between Wildlife Sanctuary and National Park	Modes of Plant Reproduction	Ecological Pyramid and Its Types
Double Fertilization in Angiosperms	Ecosystem	Enzymes
Fertilisation in Plants	Five Kingdoms Classification	Flower
Ganongs Potometer	Health and Hygiene	Herbivores and Carnivores
Heterotrophic Nutrition	Human Digestive System	Vertebrates and Invertebrates
Morphology of Leaves	Modifications of Root	Phylum Aschelminthes
Diffusion	Osmosis	Prokaryotic Cells
Reproduction	Flora And Fauna	Overview of Food Chain
Difference Between Rabi And Kharif Crops	Vegetative Propagation	Angiosperms Characteristics
Soil Profile	Types of Pollution	Human Excretory System
Sense Organs	Rainwater Harvesting	Prokaryotic And Eukaryotic Cells
Living And Non Living Things	The Nucleus	Irrigation
Endoplasmic Reticulum	Difference Between Data And Information	Mitochondria
Nitrogen Cycle	Diagram of Animal Cell	Meristematic Tissue
Law of Segregation Law of Dominance	Eukaryotic Cells	Food Sources Animal Plant Products
Photosynthesis	Respiration	Ozone Layer Depletion
Kingdom Fungi	Aerobic Anaerobic Respiration	Cell Organelles
Peristalsis	Bacteria	Oogenesis
Leaves Morphology Types Modification	Mitosis and Meiosis	Dna Structure
How Do Organisms Reproduce	Diagram of Stomata	Monohybrid Cross Inheritance One Gene
Mechanism of Breathing	Soil Erosion	Plasmolysis
Urine Formation Osmoregulation	Porifera	Flagella
Amoeba	Aerobic Respiration	Pteridophyta
Arteries And Veins Difference	Reflex Action	Stomata
Cell Wall	Diagram of Neuron	A Guide To Composition And Function Of Lymph
Difference Between Ligaments And Tendons	Insectivorous Plants	Nutrition Modes Living Organisms
Mendel Laws Of Inheritance	Nutrition In Amoeba	Calorific Value
Air Pollution Control	Fertilization In Plants	Life Processes
Binary Fission	Omnivores	Saprophytes
Asexual Reproduction	Deficiency Diseases	Light Reaction Vs Dark Reaction
Global Warming	Wildlife Sanctuary	Viviparous Oviparous Embryo Development
Glycolysis	Food Preservation Methods Food Poisoning	Crops
Biofertilizers	Biodiversity Conservation	Difference Between Endocrine And Exocrine Glands
Greenhouse Effect Gases	Diagram Of Digestive System	Crop Production And Management
Types Of Pollination	Introduction and Characteristics of Living Beings	Meristematic Cells
Taxonomical Aids _Flora, Manual, Monograph And Catalogues	Types of leaves	structure of skeletal muscle
spirometry	human respiratory system	herbarium
dinoflagellates	general characters and structure of leaf	halophiles and their features
Exchange of Gases	Simple Permanent tissue	Morphology of root and its types
Complex permanent tissues	Regions of Root	History of classification and its need
Breathing And Exchange Of Gases	Transport of Gases	Regulation of Respiration
Disorders of Respiratory System	Interaction of Haemoglobin with Other Gases	Amniocentesis
Anatomy of flowering plants	ASSISTED REPRODUCTIVE TECHNOLOGIES (ARTs)	Meristematic Cells
Phloems	Population explosion	Reproductive Health
RCH (Reproductive and Child Health Care)	Medical termination of Pregnancy (MTP)	Plant kingdom
Biological Systems of Classification & Branches of Taxonomy	Pteridophytes	Gymnosperms
Angiosperms	Life cycle Patterns	Anatomy of Roots
Contraceptives	Anatomy of stem	Algae
Bryophytes	Tissues and its types	STDs (Sexually Transmitted Diseases)
Cell - The Basic Unit of Life & its Historical background	Cell theory and its modification	An Overview of Cell
Secondary growth in dicot stem	Tissue system and types	Prokaryotic (Bacterial) cell
Ribosomes	Eukaryotic cell	Cell: The basic unit of life
Cytoskeleton	Centrosome and Centriole	Cilia and flagella
Nucleus	Chromosomes	Evolution
Movement and Locomotion	Human Reproduction	Absorption and Translocation of Solutes
Soil as a reservoir of Essential Elements	LOCOMOTION AND MOVEMENT	Mechanism of Muscle Contraction
Morphology in Flowering Plants	Contractile proteins	Muscular System
Thyroid	Puberty	Hormones
Origin of Universe	Hypothalamus	Cell wall
Mitochondria	Special Chromosomes	Microbodies
Introduction, Hydroponics and the study of mineral requirements of the plants	Criteria of essentiality and Categorisation of Essential elements	Deficiency symptoms of essential elements and toxicity
The Stem	The Root	Cytoplasm and cell membrane
Mineral Nutrition	Disorders Related To Reproductive System	Phylum Ctenophora
Role of Macronutrients	Role of Micronutrients	Phylum - Coelenterata / Cnidaria
Reptilia	Aves	Mammalia
Anatomy of the leaf	Animal kingdom	Phylum Annelida
Phylum Mollusca	Phylum Echinodermata	Vertebrata
Chordates	Disorders of circulatory system	Abiotic Factors
Male Reproductive System	Kingdom Animalia	Responses to Abiotic Factors
Female Reproductive System	Mammary Glands	Pregnancy and Embryonic Development
Cell	Cancer	Disorders of the Digestive System
Infertility	Morphology of Cockroach	Blood and Plasma
Alternation of Generations and Classification	Predation	Phaeophyceae and Rhodophyceae
Phylum Coelenterata	Phylum Porifera	Phylum Platyhelminthes
Chromosomal Disorders	Competition	Taxonomic Aids
Alternation of generation in Pteridophytes	Disorders of muscular and skeletal system	General Characteristics of Living
Digestive Glands	Stomach	Testis
Buccal cavity	Seed	Common Diseases in Humans
Permanent Tissue	Permanent Tissues Xylem	Pteridophytes Characteristics
Parasitism and Commensalism	Water Pollution and Its Control	Differentiation, Dedifferentiation and Redifferentiation
Organism and its Environment	Carbohydrates	Greenhouse Effect Gases
Amino Acids	Dynamic State of Body Constituents	Photosynthesis Chloroplast
Features of Living Beings	Blood Group	Lipids
Kingdom Protista	dense connective tissue	connective tissue cartilage
connective tissue blood	plant cell	viruses
the stem	Connective Tissue Bone	Viroids Prions Lichens
Animal cell	Prokaryotic Cell	Taxonomic Aids Herbarium and Museum
Sphygmomanometer and ECG	Population Attributes	Noise pollution
Diaphragm	Parts of a Plant	Photoperiodism
Poultry Farming	Nucleic Acids	Cell Cycle
Principles of Biotechnology	Antibiotics	IVF
Glands	Kranz Anatomy	Sexual Reproduction in Plants
Cytokinin	Plant Development	Biofertilizers
Photorespiration	Auxin	Nutrient Cycling
Types of Flower s	Taxonomic Hierarchy and Categories	Epidermal Tissue System
Calyx and Corolla	Ethylene	Fertilization and Implantation
Types of Fruits	Inflorescence	Types of Growth
Macronutrients	Family Liliaceae	ETC and Oxidative Phosphorylation
Classification of Wood	Ground Tissue System	Secondary Growth in Stem
Plant Vascular System	Electron Transport System	Transpiration
Difference Between Types of Cells	Ovary Structure	Birth Control
Epithelial Tissue	Endomembrane System	Cell Envelopes and Cell Membrane
Muscle Types	Axial Skeleton	Acquired Immunity
Lung Volumes and Capacities	Suspension and Migration	Prokaryotic Cells

JEE Main 2025 April 7 Shift 1 Mathematics Question Paper & Solutions PDF (To be Out), Latest Updates, Click Here To Download

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