1. Units

System of Units

S.I. Units

Conversion of Units

S.I. Prefixes and Multiplication Factors

Quantities and Units

2. Fractions

Fractions

Least Common Multiple (L.C.M.)

Highest Common Factor (H.C.F.)

Conversion of Fraction to Decimal and Vice versa

Scientific Calculation

3. Square Roots

Square Root

Rationalisation

Simple Calculator

4. Ratio and Proportion

Ratio

Proportion

Time, Work and Labour Related Problem

Average

5. Percentage

Convert fractional Number into Percentage

Convert Percentage into Decimal

Convert Decimal into Percentage

Simple Calculation

6. Metals

Properties of Metals

Iron

Types of Metals

Differences between Ferrous and Non-ferrous Metals

Non-ferrous Alloys

7. Mass, Weight and Density

Mass

Weight

Differences between Mass and Weight

Density

Relative Density

Laws of Floatation

8. Velocity and Speed

Rest and Motion

Speed

Velocity

Differences between Velocity and Speed

Acceleration

Retardation

Newton's Laws of Motion

Equations of Motion

9. Work, Power and Energy

Work

Power

Horse Power of Engines

Mechanical Efficiency

Energy

10. Algebra

Rules of Positive and Negative Signs

Laws of Indices

Addition and Subtraction of Algebraic Number

Multiplication and Division of Algebraic Numbers

Algebraic Formulas

Factors of Trinomial

Equations

Quadratic Equations

11. Mensuration

Circle

Perimeter and Area of Plane Figures

Volume

Area and Volume of Spherical Figures

Area of Solids of Revolution

12. Trigonometry

Relation between Sides of Triangle

Trigonometric Formulae

Relation between Trigonometric Ratios

Systems of Measuring Angles

Trigonometric Values of Some Angles

13. Heat and Temperature

Heat

Temperature

Boiling Point

Melting Point

Differences between Temperature and Heat

Sources of Heat

Effects of Heat

Specific Heat

Quantity of Heat

Thermal Capacity

Water Equivalent of Heat

Interchange of Heat

Calorimeter

Transmission of Heat

Thermometer

Pyrometer

Expansion of Solids

14. Electricity

Production of Electricity

Uses of Electricity

Types of Electrical Materials According to the Electricity Law

Electric Current

Types of Electric Current

Comparison between A.C. and D.C.

Ampere

Electromotive Force

Electric Voltage

Potential Difference (P.D.)

One Volt

Resistance

Specific Resistance

Temperature Coefficient

Electric Circuit

Series and Parallel Connections of Resistance

Electrical Power

Electrical energy

15. Simple Machines and Levers

Effort

Load

Mechanical Advantage

Velocity Ratio

Efficiency of Machine

Types of Simple Machines

Lever

16. Elasticity

Elasticity

Plasticity

Stress

Strain

Different Types of stresses

Hooke’s Law

Elastic Limit

Ultimate Stress

Working Stress

Factor of Safety

Stress-strain Curve

Young’s Modulus/Modulus of Elasticity

Modulus of Rigidity

Poisson’s Ratio

Bulk Modulus

Relationship between Modulus for a Given Material

17. Materials

Classification of Materials

Classification of Electrical Materials

Differences between Conductor, Insulator and Semiconductor

Properties of Materials

18. Magnetism

Magnetism and Magnet

Types of Magnet

Classification of Magnetic Substances

Laws of Magnetism

Magnetic Field

Important Definitions Related to Magnetism

Determination of Direction of Magnetic Field of Current Carrying Conductor

Magnetic Effect of Current in Two Parallel Conductors

Solenoid

Electromagnet

Determination of Force in Current Carrying Conductor

Faraday’s Laws of Electromagnetic Induction

Applications of Electromagnet

Lifting Power of Magnet

19. Pressure

Units of Pressure

Pneumatic Pressure

Atmospheric Pressure

Pressure on Body Immersed in a Fluid

Types of Pressure

Device for Measuring Atmospheric Pressure

Boyle’s Law

Charles’ Law

Gas Equation

Pascal’s Law

20. Heat Treatment

Critical Temperature

Three Stages of Heat Treatment

Methods of Heat Treatment

21. Law of Indices

Square

Power

Square Root

Methods of Solving out the Square Root

Cube

Cube Root

Method of Finding Cube Root

Rationalization

22. Alternating Current Circuit

Alternating Current

Terms Related to Alternating Current

Speed of Wave

Pure Resistive Circuit

Inductor

Inductance

Inductive Reactance

Coefficient of Coupling

Time Constant of an Inductor

Capacitance

Capacitive Reactance

Time Constant of a Capacitor

Impedance

Resonance Frequency

Circuit Q Factor

Polyphase

Combination of Resistors

Series and Parallel Combination of Capacitor

Series and Parallel Combination of Inductor

Power Factor

Important Formulae Related to Calculations for AC Circuits

23. Battery

Internal Resistance of the Cell

Connection of Cells

Battery Charging

24. Electrical Power and Energy

Electrical Power

Electrical Energy

25. Friction

Types of Friction

Normal Reaction

Limiting Friction

Laws of Friction

Coefficient of Friction

Angle of Friction

Inclined Plane

Force of Friction when the Applied force is in Horizontal Direction

Force of Friction when the Force is Inclined at an Angle q with the Horizontal

Lubrication

26. Force

Representation of Force

Parallel Forces

Resultant Forces

Types of Quantities

Representation of Forces

Composition of Forces

Resolution of Forces

Condition for Equilibrium of Forces Acting on a Body

Parallelogram Law of Forces

Law of Triangle of Forces

Lami’s Theorem

Jib Crane

27. Centre of Gravity

Gravitational Acceleration

Centre of Gravity

Examples of Centre of Gravity of Symmetric Body

Determination of Centre of Gravity for Non-symmetric Objects

Determination of Centre of Gravity Through Calculation

Condition of Equilibrium

Types of Equilibrium

Centrifugal Force

28. Number System

Conversion of Decimal Number System to Binary Number System

Conversion of Binary Number System to Decimal Number System

Conversion of Decimal Number System to Octal Number System

Conversion of Octal Number System to Decimal Number System

Conversion of Decimal Number System to Hexadecimal Number System

Conversion of Hexadecimal Number System to Decimal Number System

Conversion of Binary Number System to Octal Number System

Conversion of Octal Number System to Hexadecimal Number System

Conversion of Binary Number System to Hexadecimal Number System

Conversion of Hexadecimal Number System to Binary Number System

Comparison of Decimal, Binary, Hexadecimal and Octal Number

29. Electrical Estimate And Costing

Estimate for Internal Electric Wiring

Calculation of Load for Domestic Wiring and Selection of Cable/Wire

Calculation of Conductor Size for Domestic Internal Wiring

Load Calculation with Diversity Factor

Selection of a Cable with Permissible Voltage Drop

Preparation of List of Materials and Estimate Cost of Electrical Wiring

30. Graph

Main Points to Draw a Graph

Solution by Graph

Equation of Two Variables

Equation with Two Constants

31. Percentage, Interest and Depreciation

Percentage

Changing a Fraction into Percent

Loss and Profit

Discount

Simple Interest

Compound Interest