# CBSE Class 10 Mathematics Syllabus for 2022-23

On April 21st, 2022, CBSE released a reduced syllabus for classes 9 to 12 of the 2022-23 academic session.

After so many changes in the last 2 to 3 years, CBSE has finalised a reduced syllabus for Class 10 teachers and students to follow. However, the term-based examination pattern will NOT BE FOLLOWED in 2022-23.

We were prompt about the syllabus release and have updated the changes in all the subjects for you. Here, you can find:

• simple analysis of all the deleted topics/ chapters to be followed this year.

2022-23 Reduced Syllabus

We have also provided the syllabus for the 2020-21 session that was previously restored so that you can compare the deleted and added topics.

2020-21 Reduced Syllabus

CHAPTER-WISE SYLLABUS ANALYSIS (2022-23)
Topics Added (✔️) | Topics Deleted ()
Chapter 1 - Real Numbers
Euclid’s division lemma
✔️ Proofs of irrationality of √2, √3, √5.
Decimal representation of rational numbers in terms of terminating/ non-terminating recurring decimals.
Chapter 2 - Polynomials
Statement and simple problems on division algorithms for polynomials with real coefficients.
Chapter 3 - 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.
Graph of linear equations in two variables
Chapter 5 - Arithmetic Progressions
Applications based on sum to n terms of an A.P.
Chapter 6 - 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, other two sides, the angles opposite to the first side is a right angle.
(Prove) In a triangle, if the square on one side is equal to the sum of the squares on the other two sides, the angle opposite to the first side is a right angle.
Chapter 7 - Lines
Area of a triangle
Chapter 8 - Introduction to Trigonometry
✔️ Motivate the ratios whichever are defined at 0° and 90°. (Added in the 2020-21 reduced syllabus)
Trigonometric ratios of complementary angles.
Chapter 9 - Circles
(Motivate) Alternate 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.
❌ Chapter 10 - Construction
Chapter 11 - Areas Related to Circles
Motivate the area of a circle
✔️ Calculate the area of the segment of a circle to a central angle of 120°
Plane figures involving triangles, simple quadrilaterals and circles should be taken
Chapter 12 - Surface Areas and Volumes
Frustum of a cone
Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combinations of not more than two different solids must be taken).
Chapter 13 - Probability
NIL
Chapter 14 - Statistics
Step deviation Method for finding the mean, Cumulative frequency graph.
CLASS 10 MATHEMATICS BLUEPRINT 2022-23
Units Unit Name Marks
I Number Systems 06
II Algebra 20
III Coordinate Geometry 06
IV Geometry 14
V Trigonometry 12
VI Mensuration 10
VII Statistics & Probability 11
INTERNAL ASSESSMENT
Pen Paper Test & Multiple Assessments (10) + Portfolio (05) + Lab Practical (05)
20
TOTAL 100

COMPETENCY-BASED QUESTION PAPER DESIGN
S. No. Typology of Questions Total Marks
1 Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers.
Understanding: Demonstrate understanding of facts and ideas by organising, comparing, translating, interpreting, giving descriptions, and stating main ideas
43
2 Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. 19
3 Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalisations
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
TOTAL 80