# CBSE Class 10 Maths- Standard – Study Notes Chapter Wise

### UNIT I: NUMBER SYSTEMS

REAL NUMBERS
• Euclid’s division lemma
• The Fundamental theorem of arithmetic
• Revisiting irrational numbers
• Revisiting rational numbers and their decimal expansion
• irrationality of √2, √3, √5

### UNIT II: ALGEBRA

#### Polynomials

• Geometrical meaning of zeroes of polynomial
• Relationship between zeroes and coefficients of polynomial
• Division algorithms for polynomial

#### Linear Equation in Two Variables

• Pair of linear equation in two variables
• Algebraic method of solving pair of linear equation- substitution method
• Algebraic method of solving pair of linear equation- elimination method
• Algebraic method of solving pair of linear equation- cross multiplication method
• Equation reducible to pair of linear equation in two variables

• Quadratic Equations: ax2+bx+c=0=0, (a ≠ 0)
• Solution of quadratic equation by factorization
• Solution of quadratic equation by completing the square
• Nature of roots
• Situational problems based on quadratic equations

#### ARITHMETIC PROGRESSIONS

• Introduction
• Arithmetic progressions
• Derivation of the nth term
• sum of the first n terms of A.P.
• application in solving daily life problems

### UNIT III: COORDINATE GEOMETRY

#### LINES (In two-dimensions)

• Concepts of coordinate geometry
• Graphs of linear equations
• Distance formula
• Section formula (internal division)
• Area of a triangle

### UNIT IV: GEOMETRY

#### Triangles

• Similar figures
• Similarity of triangles
• Basic Proportionality Theorem
• Criteria for similarity of triangles
• Area of similar triangles
• Pythagoras theorem
• Converse of Pythagoras theorem

#### CIRCLES

• Tangent to a circle
• Number of tangent from a point to a circle

#### Constructions

• Division of a line segment
• Construction of triangle similar to given triangle
• Construction of tangents to a circle

### UNIT V: TRIGONOMETRY

#### INTRODUCTION TO TRIGONOMETRY

• Trigonometry: Introduction
• Trigonometric ratios of some specific angles
• Trigonometric ratios of complementary angles
• Trigonometric identities
• Values (with proofs) of the trigonometric ratios of 30°, 45° and 60°.
• Relationships between the ratios

#### HEIGHTS AND DISTANCE

• Simple and believable problems on heights and distance
• Angles of elevation / depression of 30°, 45°, 60°.

### UNIT VI: MENSURATION

#### AREAS RELATED TO CIRCLES

• Perimeter and area of a circle
• Area of sector and segment of a circle
• Area of segment of a circle
• Problems on Area and Perimeter

#### SURFACE AREAS AND VOLUMES

• Problems on finding surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone.
• Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combination of not more than two different solids be taken).

### UNIT VII: STATISTICS AND PROBABILITY

#### STATISTICS

• Mean of grouped data
• Mode of grouped data
• Median of grouped data
• Graphical representation of cumulative frequency distribution

#### Probability

• Introduction
• Probability- a theoretical approach

### Best Reference Books CBSE Class 10 For Mathematics

1. Mathematics for Class 10 – R D Sharma
2. Secondary School Mathematics for Class 10 – RS Aggarwal
3. All in one mathematics – Arihant

CBSE Class 10 Mathematics, Notes ,Test Papers, Sample Papers, NCERT,NCERT Exemplar Solutions,RD Sharma and RS Aggarwal Solution and Help from Ex- IITian for Mathematics

### NCERT Exemplar Solutions for Class 10 Mathematics

Get 100 percent accurate NCERT,NCERT Exemplar Solutions for Class 10 Mathematics explained by expert Mathematics teachers. We provide step by step solutions for the questions given in Class 10 Mathematics textbook as per CBSE Board guidelines from the latest NCERT book for Class 10 Mathematics.

### CBSE Class 10 Mathematics Notes

Get Notes prepared by Ex-IITIan for CBSE Class 10 Mathematics

### RD Sharma and RS Agarwal Mathematics Class 10 Solutions

RD Sharma and RS Agarwal Solutions for Class 10 Mathematics  are provided here with simple step-by-step explanations. These solutions for  are extremely popular among class 10 students for Mathematics.  Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the RD Sharma and RS Agarwal Book of class 10 Mathematics are provided here for . I will help you online for any doubt / clarification.

### CBSE Class 10 Mathematics Assignments

Chapter wise assignments are being given by teachers to students to make them understand the chapter concepts. Its extremely critical for all CBSE students to practice all assignments which will help them in gaining better marks in examinations. All assignments available for free download on the website are developed by the best teachers having many years of teaching experience in CBSE schools all over the country. Students, teachers and parents are advised to contact me online incase of any doubt / clarification

### Past Many Years Question Mathematics Class 10 Solutions

Past Many Years Question Papers Solutions for Class 10 Mathematics  are provided here with simple step-by-step explanations. These solutions for are extremely popular among class 10 students for Mathematics . Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Past Many Years Question Papers Book of class 10 Mathematics are provided here for . I will help you online for any doubt / clarification.

In CBSE Class 10, Mathematics is a combination of theoretical and Numericals knowledge. In Mathematics , you can really score 100% if you study well and understand the concept.At IITianAcademy, we provide excellent notes prepared by Ex-IITIan along with Sample Papers and past years question papers. You will be provided with Lakhmir Singh question and Answers. IITianAcademy provide real time help for any doubt clarification and topic explanations. We suggest you to follow below mantra to score good marks in class 10 Mathematics

Following are the tips to prepare for Mathematics :-

• First make a note of formulas & derivations separately. Get a reference from IITianAcademy Notes
• Learn it by heart, we will help for any doubt detail explanation
• Learn all the principles and theories.
• Practice diagrams and do it neatly on your answer sheet and label it properly.
• Take help of different guides or references for practising different types of numericals.
• Always answer your questions as per marks. If it contains less marks then try to answer in brief and if it contains more marks then try to make your answer lengthy, and also make diagrams if necessary. It doesn’t matter whether it is mentioned or not to make diagrams. Do it as per marks.
• Solve previous years question papers so that you can understand the patterns of question paper.
• Always practice all the definitions by writing it.

CBSE Class 10 Mathematics, Notes ,Test Papers, Sample Papers, NCERT,NCERT Exemplar Solutions,RD Sharma and RS Aggarwal Solution and many more..