CBSE Class 10 Maths Syllabus 2022-23: CBSE Class 10 students must check the new CBSE Class 10 Maths Syllabus to clearly know the list of chapters and topics that must be prepared for the board exam 2023. The Class 10 Mathematics Exam for both Standard and Basic papers will be held on 21st March, 2023. Students are advised to check the syllabus thoroughly and make a strategy to prepare the topics based on their weightage or difficulty level. The syllabus is available here for download in PDF.
CBSE Class 10 Maths Course Structure
First, let us look at the course structure to understand the weightage of each aspect and the topics.
|
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 |
ALSO CHECK: CBSE Class 10 Syllabus 2022-2023 ( All Subjects)
UNIT 1: NUMBER SYSTEMS
1. REAL NUMBER
Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of √2, √3, √5
UNIT 2: ALGEBRA
1. POLYNOMIALS
Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.
2. 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, by elimination. Simple situational problems.
3. 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 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
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.
UNIT 3: COORDINATE GEOMETRY
1. Coordinate Geometry
Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).
UNIT 4: GEOMETRY
1. TRIANGLES
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.
2. 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.
UNIT 5: 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 0o and 90o. Values of the trigonometric ratios of 300 , 450 and 600. Relationships between the ratios.
2. TRIGONOMETRIC IDENTITIES
Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given.
3. 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°, and 60°.
UNIT 6: MENSURATION
1. AREAS RELATED TO CIRCLES
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.
2. 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.
UNIT 7: STATISTICS AND PROBABILITY
1. STATISTICS
Mean, median and mode of grouped data (bimodal situation to be avoided).
2. PROBABILITY
Classical definition of probability. Simple problems on finding the probability of an event.
CBSE class 10 Maths Internal Assessment
(These internal assessment guidelines are applicable for both Maths Standard and Maths Basic)
|
Components |
Marks |
|
Pen Paper Test and Multiple Assessment (5+5) |
10 |
|
Portfolio |
05 |
|
Lab Practical (Lab activities to be done from the prescribed books) |
05 |
|
Total |
20 |
Question Paper Design – CBSE Class 10 Maths (Standard)
First, we will begin with the question paper design of CBSE Class 10 Mathematics standard. The typology of questions and marks weightage is clearly explained here.
|
Mathematics-Standard QUESTION PAPER DESIGN CLASS – X (2022-23) Time – 3 Hours Max. Marks – 80 |
|||
|
S. No. |
Typology of Questions |
Total Marks |
% Weightage (approx.) |
|
1. |
Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas |
43 |
54 |
|
2. |
Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. |
19 |
24 |
|
3. |
Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria. Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions |
18 |
22 |
|
|
Total |
80 |
100 |
Question Paper Design – CBSE Class 10 Maths (Basic)
The question paper design for CBSE Class 10 Mathematics Basic is as follows:
|
Mathematics-Basic QUESTION PAPER DESIGN CLASS – X (2022-23) Time – 3 Hours Max. Marks – 80 |
|||
|
S. No. |
Typology of Questions |
Total Marks |
% Weightage (approx.) |
|
1. |
Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas |
60 |
75 |
|
2. |
Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. |
12 |
15 |
|
3. |
Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria. Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions |
08 |
10 |
|
|
Total |
80 |
100 |
PRESCRIBED BOOKS for CBSE Board class 10 Math:
(equally applicable for both Maths Standard and Maths Basic)
- Mathematics – Textbook for class X – NCERT Publication
- Guidelines for Mathematics Laboratory in Schools, class X – CBSE Publication
- Laboratory Manual – Mathematics, secondary stage – NCERT Publication
- Mathematics exemplar problems for class X, NCERT publication.
The syllabus can be downloaded in PDF below so that students may use it anytime and anywhere at their convenience.
Download the CBSE board Class 10 Maths Syllabus in PDF from the link mentioned below:
Also, use sample papers published by CBSE to understand the ways in which the board is expected to ask questions in this academic year.
If you are preparing with lots of hard work with no idea if you are doing it right, then use our practice papers to check your level of preparation.
Also Read:
NCERT Solutions for Class 10 Maths
NCERT Exemplar Solutions for Class 10 Maths
Related Syllabus:
Best of luck to all the candidates.
