CBSE Syllabus

CBSE Class 10 Syllabus For Maths | Detailed CBSE Class 10 Mathematics Syllabus

CBSE Class 10 Syllabus For Maths | Detailed CBSE Class 10 Mathematics Syllabus

CBSE Class 10 Syllabus For Maths: 

Maths is an important subject in Class 10. Mathematics plays a major role in choosing the career stream at higher secondary level. So, students who want to go for Science must secure good marks in Mathematics. In order to secure good marks in Mathematics, students should be crystal clear with the CBSE Class 10 Syllabus for Maths. In this article, we will give detailed CBSE Class 10 Syllabus For Maths along with the marks distribution.

Maths of class 10 is very important for the initial preparation of JEE Foundation and also it is related to different Maths Olympiad and its preparation.

CBSE Class 10 Syllabus For Maths

Marks allocation every chapter and detailed overview of CBSE Class 10 Syllabus for Maths:

Unit No

Unit Name

Marks

1

Number Systems

06

2

Algebra

20

3

Coordinate Geometry

06

4

Geometry

15

5

Trigonometry

12

6

Mensuration

10

7

Statistics & Probability

11

Total

80 marks

The CBSE Board examination will be conducted for 80 marks. The remaining 20 marks is allotted for Internal Assessment.

Let us now look at the detailed CBSE Class 10 Syllabus for Mathematics – chapters and concepts under each unit.

CBSE Class 10 Syllabus For Maths | Number Systems

CBSE Class 10 Syllabus For Maths: Number Systems

Real Numbers

Euclid’s division lemma, Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of results – irrationality of √2, √3, √5, decimal expansions of rational numbers in terms of terminating/non-terminating recurring decimals.

CBSE Class 10 Syllabus For Maths | Algebra

CBSE Class 10 Syllabus For Maths: Algebra

Polynomials 

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients.

Pair Of Linear Equations In Two Variables

Pair of linear equations in two variables and their graphical solution. Geometric representation of different possibilities of solutions/inconsistency.

Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination and by cross multiplication method. Simple problems on equations reducible to linear equations.

Quadratic Equations

Standard form of a quadratic equation ax2+bx+c=0, (a ≠ 0). Solution of the quadratic equations (only real roots) by factorization, by completing the square and by using quadratic formula. Relationship between discriminant and nature of roots.

Situational problems based on quadratic equations related to day to day activities to be incorporated.

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.

CBSE Class 10 Syllabus For Maths |  Coordinate Geometry

CBSE Class 10 Syllabus For Maths: Coordinate Geometry

Lines (In two-dimensions)

Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle.

CBSE Class 10 Syllabus For Maths | Geometry

CBSE Class 10 Syllabus For Maths: Geometry

Triangles

Definitions, examples, counter examples of similar triangles.

  1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
  2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
  3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
  4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
  5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.
  6. (Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other.
  7. (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares on their corresponding sides.
  8. (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
  9. (Prove) In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right triangle.

Circles

Tangents to a circle motivated by chords drawn from points coming closer and closer to the point.

  1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
  2. (Prove) The lengths of tangents drawn from an external point to circle are equal.

Constructions

  1. Division of a line segment in a given ratio (internally).
  2. Tangent to a circle from a point outside it.
  3. Construction of a triangle similar to a given triangle.

CBSE Class 10 Syllabus For Maths | Trigonometry

CBSE Class 10 Syllabus For Maths: Trigonometry

Introduction To Trigonometry 

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios, whichever are defined at 0° and 90°. Values (with proofs) 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. Trigonometric ratios of complementary angles.

Heights and Distances 

Simple and believable problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30°, 45°, 60°.

CBSE Class 10 Syllabus For Maths | Mensuration

CBSE Class 10 Syllabus For Maths: 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 area of segment of a circle, problems should be restricted to central angle of 60°, 90° and 120° only. Plane figures involving triangles, simple quadrilaterals and circle should be taken).

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.

CBSE Class 10 Syllabus For Maths | Statistics And Probability

CBSE Class 10 Syllabus For Maths: Statistics and Probability

Statistics

Mean, median and mode of grouped data (bi-modal situation to be avoided). Cumulative frequency graph.

Probability

Classical definition of probability. Simple problems on single events (not using set notation).

CBSE Class 10 Syllabus For Maths | Internal Assessment

The Internal Assessment carries 20 marks:

CBSE Class 10 Syllabus For Maths: Internal Assessment

Regular Class Test / Periodical Test

10 Marks

Assignments and Activity

5 Marks

Note Book Submission

5 Marks

CBSE Class 10 Syllabus For Maths | Best Books For CBSE Class 10 Maths

CBSE Class 10 Syllabus For Maths: Prescribed Books For Mathematics

1

Mathematics Textbook for Class X – NCERT Publication

2

Guidelines for Mathematics Laboratory in Schools, Class X – CBSE Publication

3

Mathematics Exemplar Problems for Class X, NCERT Publication

4

Laboratory Manual – Mathematics , NCERT Publication