CBSE Class 10 Mathematics Syllabus 2022: The mathematics subject is one of the important subjects for scoring good marks in the 10th exams. Students need to focus on mathematics subject if they want to secure a good percentage in the board exam. It requires a lot of practice, planning, and understanding about the subject, type of questions, difficulty level, etc. In this regard, students must go through CBSE class 10th Mathematics Syllabus 2022-23 for the upcoming exam. Generally, the syllabus consists of chapters like Number System, Algebra, Geometry, Time & Distance and Equations, etc. It is important to mention here that the syllabus for the CBSE class 10th board exam is generally the same for every year however, there may be a slight change in the examination scheme like question number, type of questions and marking scheme, etc. Check information regarding CBSE Class 10th Mathematics Syllabus 2022 in this article below.
Table of Contents
CBSE Class 10th Mathematics Syllabus 2022: Course Structure
The students can check here distribution of chapters with marks allotted with respect to the CBSE 10th Syllabus for Mathematics. The structure for Mathematics is as under:
| Chapters | Marks Allotted |
| Number System | 06 |
| Algebra | 20 |
| Geometry | 15 |
| Coordinate Geometry | 06 |
| Mensuration | 10 |
| Trigonometry | 12 |
| Statistics & Probability | 11 |
| Total | 80 Marks |
Internal Assessment
The other part of the CBSE 10th Mathematics Paper will be of 20 Marks. The internal assessment with respect to mathematics paper is given in the table below:
| Particulars | Marking Scheme |
| Pen & Paper Test and Multiple Assessment (5 Marks Each) | 10 Marks |
| Portfolio | 05 Marks |
| Lab Practical (Lab activities to be done from the prescribed books) | 05 Marks |
| Total | 20 Marks |
CBSE 10th Class Mathematics Syllabus 2022: Chapters
Here students can check detailed information about the particular chapter or topic. However, we recommend the students go through the official website of the CBSE for information about the syllabus. We will also provide a direct link to access the official syllabus from the CBSE’s website. Check the following information about CBSE 10th Mathematics Syllabus:
Chapter I: Number System (06 Marks)
Real Number (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 the irrationality of root 2, root 3, and root 5. The decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals.
Chapter II: Algebra (20 Marks)
- Polynomials (7 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.
- Pair of Linear Equations in Two Variables (15 Periods): 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, by elimination and by cross multiplication method. Simple problems on equations reducible to linear equations. Simple situational problems.
- Quadratic Equations (15 Periods): Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, 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 (8 Periods): Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of arithmetic progression and their application in solving daily life problems.
Chapter III: Coordinate Geometry (06 Marks)
- Lines (In Two-Dimensions) (14 Periods): Review– Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle.
Chapter IV: Geometry (15 Marks)
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 of 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.
2. Circles (8 Periods):
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.
3. Constructions (8 Periods):
- Division of a line segment in a given ratio (internally),
- Tangents to a circle from a point outside it,
- Construction of a triangle similar to a given triangle.
Chapter V: Trigonometry (12 Marks)
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 0o and 90. Values of the trigonometric ratios of 30 degree, 45 degree and 60 degree. Relationships between the ratios.
2. Trigonometric Identities (15 Periods):
Proof and applications of the identity sin2 A + cos2 A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.
3. Heights and Distances (Angle of elevation, Angle of Depression) (8 periods):
Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation /depression should be only 30°, 45°, and 60°.
Chapter VI: Mensuration (10 Marks)
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 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.)
2. Surface Areas And Volumes (12 Periods)
- 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).
Chapter VII: Statistics and Probability (11 Marks)
1. Statistics (18 Periods):
Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.
2. Probability (10 Periods):
The classical definition of probability, Simple problems on finding the probability of an event.
Preparation tips for CBSE 10th Class Mathematics Paper
- First of all, the students must go through the prescribed CBSE 10th Class Mathematics syllabus.
- Practice hard and solve questions, again and again, to become habitual to solve problems.
- Solve sample question papers based on CBSE 10th Mathematics Paper.
- Go through previous year’s question papers to know the pattern of questions, important topics, difficulty level etc.
- It is important to identify topics based on their relevance and accordingly prepare for the same.
- Remember, mathematics is one of the important subjects for scoring maximum marks hence, focus on the subject.
Download CBSE 10th Class Mathematics Syllabus 2022
Important Book for Preparation
- Mathematics exemplar problems for class X, NCERT publication
- Mathematics -Textbook for Class X -NCERT Publication
- Guidelines for Mathematics Laboratory in Schools, class X -CBSE Publication
- Laboratory Manual – Mathematics, secondary stage – NCERT Publication.
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