CBSE Class 10 Mathematics Syllabus 2022-23

CBSE has released the Latest Updated Syllabus of the New Academic Session 2022-23 on April 21st, 2022, for classes 9 to 12

CBSE Board has finally released the reduced syllabus for Class 10th which is to be strictly followed. Board has scrapped the term-wise board paper pattern for the New Session 2022-23 and has restored SINGLE BOARD EXAM PATTERN once again.

We have also updated Oswal Gurukul Books as per the Latest Paper Pattern prescribed by Board for each Subject Curriculum.

Students can directly access the CBSE Mathematics Syllabus for Class 10 of the academic year 2022- 23 by clicking on the link below.

PDF download links to the latest reduced Class 10 Mathematics Syllabus for 2022-23 academic session

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CBSE Mathematics Class 10 Reduced Syllabus 2022-23

CBSE Class 10 Maths Syllabus 2022-23: Unit-wise Summary

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

UNIT I: NUMBER SYSTEMS

1. Real Number

(15) Periods

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 II: ALGEBRA

1. Polynomials

(8) Periods

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

2. 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. Simple situational problems.

3. 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.

4. Arithmetic Progressions

(10) Periods

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 III: COORDINATE GEOMETRY

Coordinate Geometry

(15) Periods

Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).

UNIT IV: GEOMETRY

1. Triangles

(15) Periods

  • 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.

2. Circles

(10) Periods

  • Tangent to a circle at, point of contact
  • 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 a circle are equal.

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 0o and 90o. Values of the trigonometric ratios of 300, 450 and 600. Relationships between the ratios.

2. Trigonometric Identities

(15) Periods

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.

(10) 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°.

UNIT VI: MENSURATION

1. Areas Related To Circles

(12) Periods

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

(12) Periods

Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

UNIT VII: STATISTICS AND PROBABILITY

1. Statistics

(18) Periods

Mean, median and mode of grouped data (bimodal situation to be avoided).

2. Probability

(18) Periods

Classical definition of probability. Simple problems on finding the probability of an event.

CBSE Class 10 Maths Deleted Syllabus 2022-23

Subject , Unit & Chapters Topics Deleted
UNIT I: NUMBER SYSTEMS
REAL NUMBER
  • Euclid’s division lemma,

  • Decimal representation of rational numbers interms of terminating/non-terminating recurring decimals.
UNIT II: ALGEBRA
POLYNOMIALS Statement and simple problems on division algorithm for polynomials with real coefficients
PAIR OF LINEAR EQUATIONS IN TWO VARIABLES Solution of a pair of linear equations in two variables algebraically by cross multiplication method. Simple problems on equations reducible to linear equations.
UNIT III: COORDINATE GEOMETRY
LINES (In two-dimensions) Area of a triangle.
UNIT IV: GEOMETRY
TRIANGLES
  • (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.

  • (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 angle.
CIRCLES
  • (Motivate) Alternative Segment theorem: If a chord is drawn through the point of contact of a tangent to a circle, then the angles made by the chord with the tangent are respectively equal to the angles subtended by the chord in the alternate segments.
CONSTRUCTIONS
  • 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.
UNIT V: TRIGONOMETRY
TRIGONOMETRIC IDENTITIES Trigonometric ratios of complementary angles.
UNIT VI: MENSURATION
AREAS RELATED TO CIRCLES Motivate the area of a circle,Plane figures involving triangles, simple quadrilaterals and circle should be taken.
SURFACE AREAS AND VOLUMES
  • 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).
UNIT VII: STATISTICS AND PROBABILITY
STATISTICS Cumulative frequency graph.

CBSE Class 10 Mathematics Standard Question Paper Design 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

CBSE Class 10 Mathematics Basic Question Paper Design 2022-23

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

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
8 10
Total 80 100
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

Objectives of CBSE Syllabus for Class 10 Maths Syllabus 2022-23

The CBSE Class 10 Maths Syllabus 2022-23 has been developed with the aim of the following:

  • To acquire knowledge and understanding, by way of motivation and visualisation of basic concepts, terms, principles, and symbols.
  • To apply the knowledge and skills acquired to solve problems by more than one method.
  • To develop the ability to think, analyse and reason logically.
  • To acquaint students with various aspects of Mathematics used in daily life.
  • The syllabus is prepared to cultivate interest in students to study Mathematics as a discipline.

Frequently Asked Questions on Maths Syllabus Class 10 CBSE 2022-23

Ans: As per the latest Mathematics syllabus released by CBSE for the academic year 2022-23, the Board has dropped a few topics and one entire chapter.

Ans: From Geometry (Unit – IV), chapter Construction has been entirely deleted from CBSE 10th Maths Syllabus 2022-23.

Ans: Yes, you can definitely score above 90 in CBSE 10th Maths with the right approach and regular practice. Each and every chapter needs equal attention. Solve all the NCERT questions first and then go for sample practice papers and previous years’ question papers. Be very clear with all the concepts and techniques. Time yourself while solving papers and make notes of your mistakes. Give at least 2/3 hours daily for maths practice and you will get the best results.

Ans: CBSE 10th Maths is difficult unless the students practice enough and practice regularly. Identify the most troublesome chapters and start with them first. Solve exercises regularly. Dedicate 2/3 hours to those chapters which you find very difficult. Be clear with the concepts and learn the easiest techniques. Solve as many practice exercises and previous years’ question papers as possible. Soon, with a little hard work, you will start finding Maths your cup of tea!

Ans: Oswal-Gurukul CBSE Most Likely Question Bank, 36 Sample Papers, CBSE Last 10 Years Solved Papers, CBSE Chapterwise Last Years Solved Papers, and All in 1 Guide Book for CBSE Class X  are your one-stop solution for important questions pertaining to Maths as per Class 10 CBSE Board Syllabus 2022-23. All the books have been prepared by Oswal’s eminent subject matter experts in a student-friendly language.

Students can also create their own tests online at oswal.io and gauge their progress in an interesting way through self-assessments.

Ans: Students can find the CBSE Class 10 Maths Syllabus at the CBSE official website or check our CBSE Class 10 Syllabus.

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