CBSE Class 10 Syllabus For Maths PDF 2019-20 | Detailed CBSE Class 10 Mathematics Syllabus

CBSE Class 10 Syllabus For Maths: Students who in search of CBSE Class 10 Syllabus for Maths can refer to this article. Knowing the CBSE Class 10 Syllabus for Maths is a prerequisite thing for students appearing for CBSE Class 10 Board Examination. Otherwise, they might miss out certain chapters and topics. 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 section-wise marks distribution. Read on to find out everything about CBSE Class 10 Syllabus for Maths

CBSE Class 10 Syllabus For Maths 2018-19

Before getting into the detailed CBSE Class 10 Syllabus for Maths, let us have a look at the units included in CBSE Mathematics Syllabus along with the marks distribution:

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.

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CBSE Class 10 Syllabus For Maths –  Number Systems

1. 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

1. 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.
2. Pair Of Linear Equations In Two Variables
   a. Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency.
   b. 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 situational problems. Simple problems on equations reducible to linear equations.
3. Quadratic Equations – a. 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.b. Situational problems based on quadratic equations related to day to day activities to be incorporated.
4. Arithmetic Progressions – Motivation for studying Arithmetic Progression Derivation of the n^th term and sum of the first n terms of A.P. and their application in solving daily life problems.

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CBSE Class 10 Syllabus For Maths –  Coordinate Geometry

1. 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

1. 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.
2. 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.
3. 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.

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CBSE Class 10 Syllabus For Maths – Trigonometry

1. 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.
2. Trigonometric Identities – Proof and applications of the identity sin²A + cos²A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.
3. 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

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°, 90° and 120° only. Plane figures involving triangles, simple quadrilaterals and circle should be taken).

Surface Areas and Volumes – 

• a. 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.
• b. Problems involving converting one type of metallic solid into another and other mixed problems

CBSE Class 10 Syllabus For Maths – Statistics And Probability

Statistics – Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.

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

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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

Now you have a clear idea about CBSE Class 10 Syllabus for Maths. Make sure you finish each and every topic in the most effective and efficient manner. Solve as many CBSE Class 10 Maths questions as possible. You can also take CBSE Class 10 Maths mock tests for free on Embibe.

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