CBSE Class 10th Mathematics Syllabus for the academic year 2020-2021 is here to be downloaded in PDF Format. CBSE Maths syllabus gives you an over view of the Chapters and the Weightage of each chapter in the upcoming CBSE Board Exams.
CBSE Maths Syllabus is important because it contains:
- Maths Unitwise Marks Weightage
- Internal Assesment Marks
- 2020 Board Question Paper Design
- Important Books
- All Topics and Chapters
- Number of Periods for Teachers
The CBSE Maths Syllabus is important both for Students and Teachers. Students gets and overview of the Chapters and Teachers get to know the number of periods they should give to each chapter.
The Maths Syllabus PDF Download Link is given at the bottom of this post. before downloading I suggest you to carefully look at the syllabus and prescribed marks for each topic.
Must Check- Maths Guess Papers Download 2020-21
CBSE Class 10th Mathematics Syllabus for Board Exams
Units | Unit Name | Marks |
I | Number Systems | 06 |
II | Algebra | 20 |
III | Coordinate Geometry | 06 |
IV | Geometry | 15 |
V | Trigonometry | 12 |
VI | Mensuration | 10 |
VII | Statistics & Probability | 11 |
Total | 80 Marks | |
Internal Marks | 20 Marks | |
Grand Total | 100 marks |
See Also- Maths Chapter Wise Important Questions
UNIT I: NUMBER SYSTEMS
1. REAL NUMBERS (15 Periods)
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.
UNIT II: ALGEBRA
1. POLYNOMIALS (07 Periods)
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 (15 Periods)
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 situational problems must be included. Simple problems on equations reducible to linear equations.
3. QUADRATIC EQUATIONS (15 Periods)
Standard form of a quadratic equation ax^{2}+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.
4. ARITHMETIC PROGRESSIONS (08 Periods)
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.
UNIT III: COORDINATE GEOMETRY
1. LINES (In two-dimensions) (14 Periods)
Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle.
UNIT IV: GEOMETRY
1. TRIANGLES (15 Periods)
Definitions, examples, counter examples of similar triangles.
- (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.
- (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
- (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
- (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
- (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.
- (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.
- (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares on their corresponding sides.
- (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
- (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 traingle.
2. CIRCLES (08 Periods)
Tangents to a circle motivated by chords drawn from points coming closer and closer to the point.
- (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 circle are equal.
3. CONSTRUCTIONS (08 Periods)
- Division of a line segment in a given ratio (internally).
- Tangent to a circle from a point outside it.
- Construction of a triangle similar to a given triangle.
UNIT V: TRIGONOMETRY
1 . INTRODUCTION TO TRIGONOMETRY (10 Periods)
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 (15 Periods)
Proof and applications of the identity sin^{2}A + cos^{2}A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.
3. HEIGHTS AND DISTANCES (08 Periods)
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°.
UNIT VI: MENSURATION
1. AREAS RELATED TO CIRCLES (12 Periods)
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).
2. SURFACE AREAS AND VOLUMES (12 Periods)
(i) 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.
(ii) 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
1. STATISTICS (18 Periods)
Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.
2. PROBABILITY (10 Periods)
Classical definition of probability. Simple problems on single events (not using set notation).
CBSE Class 10th Question Paper Design 2020-2021
CBSE Class 10th Maths Internal Assesment- Practical Marks 2020-21
Internal Assessment | 20 Marks |
Pen Paper Test and Multiple Assessment (5+5) | 10 Marks |
Portfolio | 05 Marks |
Lab Practical (Lab activities to be done from the prescribed books) | 05 Marks |
Download CBSE Class 10th Syllabus 2020-21 PDF