HP PAT 2025 Syllabus PDF - Download Latest HP PAT Syllabus for All Subjects

Real numbers

• Introduction

• Euclid’s division lemma

• Revisiting irrational numbers

• Revisiting rational numbers and their decimal expansions

Polynomials

• Chemical equation

• Geometrical meaning or zeroes of polynomial

• Relationship between zeroes and coefficients of a polynomial

• Division algorithm for polynomials

• Geometrical meaning or zeroes of polynomial
• Division algorithm for polynomials

Pair of linear equations into two variables

• Introduction

• Pair of linear equations into two variables

• Graphical method of solution of a pair of linear equations

• Algebraic method of solving a pair of linear equations

               - Substitution Method

               - Elimination Method

               - Cross Multiplication Method

• Pair of linear equations into two variables
• Graphical method of solution of a pair of linear equations
• Algebraic method of solving a pair of linear equations

Quadratic equations

• Introduction

• Quadratic equations

• Solution of quadratic equations by factorization

• Solution of quadratic equations by completing square

• Nature of roots

• Solution of quadratic equations by completing square
• Quadratic equations

Arithmetic progression

• Introduction 

• Arithmetic progression

• nthterm of A.P

• Sum of n terms of an A.P

• Arithmetic progression
• nthterm of A.P
• Sum of n terms of an A.P

Triangles

• Similar triangles

• Criteria for similarity of triangles

• Areas of similar triangles

• Pythagoras theorem

• Pythagoras theorem
• Areas of similar triangles

Co-ordinate geometry

• Introduction

• Distance formula

• Section formula

• Area of triangle

• Area of triangle
• Section formula

Trigonometry

• Introduction

• Trigonometric ratio

• Trigonometric ratio of some simple specific angles

• Trigonometric ratio of some complementary angles

• Trigonometric identities

• Heights and distances

• Heights and distances
• Trigonometric ratio
• Trigonometric ratio of some complementary angles

Circles

• Introduction

• Tangent to a circle

• Number of tangent from a point to a circle

Constructions

• Division of line segment

• Construction of tangents to a circle

Area related to circles

• Introduction

• Perimeter and area of circle

• Areas of sector and segment of a circle

• Areas of combination of plane figures

• Perimeter and area of circle
• Areas of combination of plane figures

Surface areas and volumes

• Introduction

• Surface area of combination of solids

• Volume of a combination of solids

• Conversion of solid from one shape to another

• Frustum of a cone

• Surface area of combination of solids
• Frustum of a cone
• Volume of a combination of solids

Statistics

• Mean of grouped data

• Mode of grouped data

• Median of grouped data

Probability

• Introduction

• A theoretical approach to probability

Reflection, Refraction and Human Eye

• Reflection laws

• Spherical mirrors

• Images formed by spherical mirrors (Concave & Convex) with ray diagram

• Uses of Mirrors

• Sign convention & mirror formula

• Magnification

• Refraction laws

• Refraction through glass lab

• Refractive index

• Refraction by spherical lenses

• Images formed by concave and convex lenses

• Sign convention and lens formula

• Magnification and power of a lens

• Refraction through prism

• Application of refraction

• Power of accommodation, defects of vision and their corrections

• Scattering and dispersion of light and its simple applications

• Magnification and power of a lens
• Refractive index
• Images formed by spherical mirrors (Concave & Convex) with ray diagram
• Application of refraction
• Scattering and dispersion of light and its simple applications

Electricity

• Electric current

• Electric potential

• Potential difference

• Ohm's law

• Resistance

• Factor on which resistance of a conductor depends

• Electric current
• Ohm's law
• Resistance

Magnetic Effect of Electric Current

• Magnetic field and field lines

• Biot-Savart’s law and its applications

• Force on a current carrying conductor placed in a magnetic field

• Electric motor

• Electromagnetic induction

• Electric generator

• Domestic electric circuits

• Biot-Savart’s law and its applications
• Magnetic field and field lines
• Electromagnetic induction
• Domestic electric circuits

Sources of Energy and Environment

• Different forms of energy

• Ecosystem and its components

• Ozone layer

• Management of natural resources

• Ecosystem and its components
• Ozone layer
• Management of natural resources

Structure of Atom

• Charged particles in matter

• Structure of an atom (Thomson/Rutherford/Bohr’s model of the atom, neutrons)

• Distribution of electrons in different shells, valency

• Atomic number

• Mass number isotopes and isobars

• Structure of an atom (Thomson/Rutherford/Bohr’s model of the atom, neutrons)
• Atomic number

Chemical reactions and equations

• Chemical equation

• Types of chemical reactions

• Effects of oxidation reaction in everyday life

• Corrosion

• Rancidity

• Chemical equation
• Effects of oxidation reaction in everyday life
• Rancidity

Acids, bases and salts

• Understanding the chemical properties of acids and bases

• How strong are acids and base solutions?

• More about salts

• Are the crystals of salts really dry?

• Understanding the chemical properties of acids and bases
• More about salts
• How strong are acids and base solutions?

Metal & non-metals

• Metals

• Non-metals

• Chemical properties of metals

• What happens when metals are burnt in air?

• What happens when metals react with water?

• What happens when metals react with acid?

• How metals react with solution of other metal salts?

• The reactivity series

• How do metals and non-metals react?

• Properties of ionic compounds

• Occurrence of metals

• Corrosion

• Chemical properties of metals
• The reactivity series
• Properties of ionic compounds
• Occurrence of metals

Carbon and its compounds

• Bonding in carbon - the covalent bond

• Versatile nature of carbon

• Chemical properties of carbon compounds

• Ethanol and ethanoic acid

• Soap and detergents

• Versatile nature of carbon
• Ethanol and ethanoic acid
• Soap and detergents

Periodic classification of elements

• Early attempts at classification of elements

• Mendeleev’s periodic table

• Active & Passive
• Avoiding Repetition
• Comparisons
• Conditionals
• Connectors
• Modals-Expressing Attitude
• Nominalisation

• Non-Finites
• Preposition
• Relatives
• Reporter Speech
• Subject Verb Agreement
• Articles
• Determiners

• Countable and Uncountable Nouns
• Detecting & Correcting Errors
• Dialogue Completion
• Fill in the Blanks with Suitable Words
• Re-arranging jumble words or phrases

• Future Time Reference
• Present Continuous Tense
• Perfect Continuous Tense
• Present Perfect vs Simple Past
• Simple Past vs Past Perfect