# Class 10 Maths

The broader objective of class 10 maths is to help the students consolidate the knowledge of mathematical skills and concepts gained at the upper primary stage. It emphasizes visualizing basic concepts, principles, theorems and symbols to master basic algebraic skills. The key topics included in the class 10 maths are coordinate geometry, angles, polynomials, linear equations and more.

## Class 10 Maths - Syllabus

Class 10 Maths syllabus is thoroughly prepared to help young learners acquire basic mathematical concepts with ease. Class 10 Maths syllabus comprises topics related to linear equations, algebra, coordinate geometry and more. Here is the complete syllabus of CBSE Class 10 Maths.

**NUMBER SYSTEMS**

REAL NUMBER

Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and

after illustrating and motivating through examples. The decimal representation of rational

numbers in terms of terminating/non-terminating recurring decimals.

**ALGEBRA**

**POLYNOMIALS**

Zeroes of a polynomial. Relationship between zeroes and coefficients of quadratic

polynomials only.

**PAIR OF LINEAR EQUATIONS IN TWO VARIABLES**

Pair of linear equations in two variables and graphical method of their solution,

consistency/inconsistency. Algebraic conditions for number of solutions. Solution of a

pair of linear equations in two variables algebraically - by substitution and by elimination.

Simple situational problems. Simple problems on equations reducible to linear equations.

**QUADRATIC EQUATIONS**

Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic

equations (only real roots) by factorization, and by using the quadratic formula. Relationship

between discriminant and nature of roots. Situational problems based on quadratic

equations related to day to day activities (problems on equations reducible to quadratic

equations are excluded)

**ARITHMETIC PROGRESSIONS**

Motivation for studying Arithmetic Progression Derivation of the nth term and sum of

the first n terms of A.P. and their application in solving daily life problems.

(Applications based on sum to n terms of an A.P. are excluded)

**COORDINATE GEOMETRY**

COORDINATE GEOMETRY

LINES (In two-dimensions)

Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula.

Section formula (internal division)

### GEOMETRY

**TRIANGLES**

Definitions, examples, counter examples of similar triangles.

**CIRCLES**

Tangent to a circle at, point of contact

(Prove) The tangent at any point of a circle is perpendicular to the radius through the

point of contact.

(Prove) The lengths of tangents drawn from an external point to a circle are equal.

**CONSTRUCTIONS**

- Division of a line segment in a given ratio (internally).
- Tangents to a circle from a point outside it.

### TRIGONOMETRY

**INTRODUCTION TO TRIGONOMETRY**

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well

defined). Values of the trigonometric ratios of 30°, 45° and 60°. Relationships between the ratios.

TRIGONOMETRIC IDENTITIES

Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given

**SOME APPLICATIONS OF TRIGONOMETRY**

HEIGHTS AND DISTANCES-Angle of elevation, Angle of Depression.

Simple problems on heights and distances. Problems should not involve more than two

right triangles. Angles of elevation/depression should be only 30°, 45°, 60°.

### MENSURATION

**AREAS RELATED TO CIRCLES**

Motivate the area of a circle; area of sectors and segments of a circle. Problems based on

areas and perimeter/circumference of the above said plane figures. (In calculating the area of

A segment of a circle, problems should be restricted to the central angle of 60° and 90° only.

Plane figures involving triangles, simple quadrilaterals and circles should be taken.)

**SURFACE AREAS AND VOLUMES**

- Surface areas and volumes of combinations of any two of the following: cubes,

cuboids, spheres, hemispheres and right circular cylinders/cones.

- 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).

**STATISTICS & PROBABILITY**

PROBABILITY

The classical definition of probability. Simple problems on finding the probability of an Event.

STATISTICS

Mean, median and mode of grouped data (bimodal situation to be avoided). Mean by

Direct Method and Assumed Mean Method only

## Develop Class 10 Maths Skills

Class 10 maths is outlined to impart the knowledge of analytical and practical skills in students. It develops a basic understanding of applying maths, for instance, using trigonometric functions to calculate the height or applying algebraic formulas to solve real-life problems. Students can acquire an understanding of these Class 10 maths concepts through various interactive activities and visualization. Here are some key class 10 maths skills that students need to develop.

**Trigonometric Functions**

Trigonometry functions and their applications are important topics covered under class 10 maths that students should understand and apply in solving various problems.

**Algebra**

Algebra is an important part of class 10 maths that enables students to write, read and apply expressions, rational numbers and polynomials. It also helps students to utilize these skills and knowledge to solve practical problems.

**Geometry**

It is important for students to understand the geometric transformation covered in class 10 maths that involves angles, circles, perpendicular lines, parallel lines, and line segments.

## Class 10 Maths Tips and Tricks

**Practice Daily**

Class 10 maths is crucial for developing higher-level maths skills thus students must practice daily and track their progress sincerely to improvise their skills.

**Practice Past Years Question Papers**

Practicing question papers from past years will help students to get an idea of the complexity level of the exam. It will also benefit students in enhancing their speed and accuracy

**Cover Full Syllabus**

Covering full syllabus of class 10 maths is a must for students to clarify all their doubts before exams.

**Refer Reliable Study material**

Refer reliable study material like NCERT Solutions and NCERT textbooks for the preparation of class 10 maths. These are the best preparation resources as the class 10 maths exam is set according to them.

visual curriculum