CBSE Class 10 Maths Term 1 Syllabus 20212022 (PDF)
The Central Board of Secondary Education (CBSE) has released the revised syllabus for Class 10th. This new rationalised syllabus will be used for the termwise assessment of students in the current academic session. With this article, you may download the revised CBSE Syllabus for Class 10 Maths for Term 1 of the 20212022 session. Start your preparations for the Term 1 Exam according to the course content and guidelines mentioned in this revised CBSE Syllabus only.
CBSE Class 10 Maths Revised/Rationalised Syllabus 20212022 for Term 1:
COURSE STRUCTURE for CLASS –X (202122): FIRST TERM One Paper  90 Minutes 

No. 
Unit Name 
Marks 
I 
NUMBER SYSTEMS 
6 
II 
ALGEBRA 
10 
III 
COORDINATE GEOMETRY 
6 
IV 
GEOMETRY 
6 
V 
TRIGONOMETRY 
5 
VI 
MENSURATION 
4 
VII 
STATISTICS & PROBABILITY 
3 

Total 
40 

Internal Assessment 
10 

Total 
50 
Internal Assessment (IA):
Components of IA 
Marks 
Total Marks 
Periodic Test 
3 
10 marks for the term 
Multiple Assessments 
2 

Portfolio 
2 

Student Enrichment Activitiespractical work 
3 
Also Check CBSE Class 10 Revised Syllabus 20212022 for Term 1 & Term 2 (All Subjects)
UNITNUMBER SYSTEMS
1.REAL NUMBER
Fundamental Theorem of Arithmetic  statements after reviewing work done earlier and after illustrating and motivating through examples. Decimal representation of rational numbers in terms of terminating/nonterminating recurring decimals.
UNITALGEBRA
2.POLYNOMIALS
Zeroes of a polynomial. Relationship between zeroes and coefficients of quadratic polynomials only.
3.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 and by elimination. Simple situational problems. Simple problems on equations reducible to linear equations.
UNITCOORDINATE GEOMETRY
4.COORDINATE GEOMETRY
LINES (In twodimensions)
Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division)
UNITGEOMETRY
5.TRIANGLES
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.
6. (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.
7. (Motivate) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
8. (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
9. (Motivate) In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angle opposite to the first side is a right angle.
UNIT TRIGONOMETRY
6.INTRODUCTION TO TRIGONOMETRY
Trigonometric ratios of an acute angle of a rightangled triangle. Proof of their existence (well defined). Values of the trigonometric ratios of 30^{0} , 45^{0} and 60^{0} . Relationships between the ratios.
TRIGONOMETRIC IDENTITIES
Proof and applications of the identity sin^{2}A + cos^{2}A = 1. Only simple identities to be given
UNITMENSURATION
7.AREAS RELATED TO CIRCLES
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° and 90° only. Plane figures involving triangles, simple quadrilaterals and circle should be taken.)
UNIT STATISTICS & PROBABILITY
8.PROBABILITY
Classical definition of probability. Simple problems on finding the probability of an event.
PRESCRIBED BOOKS
1.Mathematics  Textbook for class X  NCERT Publication
2.Guidelines for Mathematics Laboratory in Schools, class X  CBSE Publication
3.Laboratory Manual  Mathematics, secondary stage  NCERT Publication
4.Mathematics exemplar problems for class X, NCERT publication.
You may also download the full syllabus in PDF from the link mentioned below: