General Mathematics Syllabus for Class 10 2021-2022 

                                                 Part-1

Unit

Topic Name

Unit I - Arithmetic

Variation

• Introduction

• Types of variation

• Time, work and speed

Sequences

• Introduction

• Patterns of numbers

• Progressions

• Arithmetic Progressions

Unit II - Commercial Mathematics

Modern marketing techniques

• Discount

• Rebate

• Commission

• Brokerage

• Installments

Taxes and Investments

• Introduction

• Sales tax

• VAT

• Income Tax

• Investments

• Bank investment

• Post investment

• Life insurance

• Shares and Mutual funds

Unit III – Algebra

Linear equations in two variables

• Introduction

• Solution of equations in two variables

• Methods of solving linear equations in two variables

Quadratic equations

• Introduction

• Solution of quadratic equations

• Methods of solving quadratic equations

                                                Part-2

Unit

Topic Name 

Unit IV - Geometry

Similarity

• Introduction

• Test of similarity

• Properties of similar triangles

• Basic proportionality theorem

• Similarity in right angled triangle. Pythagoras theorem statement

• Pythagorian Triplets

• Application of Pythagoras theorem

• Appolloneous theorem

Circle

• Introduction

• Terms related to circle

• Properties of chords

• Properties of tangents

• Arc of circle

Trigonometry

• Basic concepts in Trigonometry

• Problems related to height and distance

Unit V - Constructions

Geometric Constructions

• Construction of incircle of triangle

• Construction of circumcircle of triangle

• Tangents to the circle

• Construction related to design

Unit VI- Mensuration

Surface area and volume

• Parallelopiped

• Rectangular parallelopiped

• Cube

• Cylinder Cone

• Sphere and hemisphere

Unit VII- Statistics

Statistics

• Representation of data

• Histogram

• Frequency polygon

• Pie Diagram

• Measures of central tendency for grouped data

• Probability