# CBSE Class 10 Maths Syllabus 2021-22: Term 1 & Term 2 Revised Exam Pattern PDF

CBSE Class 10 Revised Maths Syllabus for Term 1 and Term 2 is here for Academic Year 2021-22. All Students must Download This CBSE 10th Maths  Term 1 Syllabus and Term 2 Syllabus / Exam Pattern Here. Read the Article Completely.

## CBSE Class 10th Maths Syllabus 2021 (Term 1 & 2)

CBSE Class 10th Maths Syllabus 2021-22 Term Wise is available here in this page. The officials of CBSE has Released the CBSE Class X Maths Syllabus Term 1 & 2 in the official site @ cbseacademic.nic.in. So all the students who are looking for the CBSE Class 10th Maths Syllabus can able to Download CBSE Class 10th Maths Term Wise Syllabus. Here we have provided the CBSE Class 10th Maths Syllabsu 2021 for both Term 1 & Term 2.

### Highlights of CBSE Class 10th Maths Syllabus 2021 (Term Wise)

 Board Name Central Board of Secondary Education (CBSE) Class Name Class 10th Maths category Syllabus (Term Wise) Official site cbseacademic.nic.in

## CBSE Class 10th Maths Term 1 Exam Pattern & Syllabus 2021 -22

#### COURSE STRUCTURE for CLASS 10 (2021-22): FIRST TERM

One Paper – 90 Minutes

 Unit 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 Marks 40 Marks

#### Internal Assessment

 Internal Assessment Marks Total Marks Periodic Tests 3 10 marks for the term Multiple Assessments 2 Portfolio 2 Student Enrichment Activities-practical work 3
 TOTAL Marks for Term-1 50 Marks

## CBSE Class 10 Maths Term 1 Syllabus 2021-22

 UNIT NAME NUMBER 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/non-terminating recurring decimals. ALGEBRA 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. COORDINATE GEOMETRY 4.COORDINATE GEOMETRY LINES (In two-dimensions) Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division) GEOMETRY 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. TRIGONOMETRY 6.INTRODUCTION TO TRIGONOMETRY Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined). Values of the trigonometric ratios of 300 , 450 and 600 . Relationships between the ratios. TRIGONOMETRIC IDENTITIES Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given MENSURATION 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.) STATISTICS & PROBABILITY 8.PROBABILITY Classical definition of probability. Simple problems on finding the probability of an event.

### CBSE Class 10th Maths Exam Pattern 2021-22 (Term 2)

 No. UNIT NAME MARKS I ALGEBRA (Cont.) 12 II GEOMETRY (Cont.) 15 III MENSURATION (Cont.) 9 IV STATISTICS & PROBABILITY(Cont) 4 Total 40 INTERNAL ASSESSMENT 10 TOTAL 50

## CBSE Class 10 Maths Term 2 Syllabus 2021-22

 UNIT-ALGEBRA 1. QUADRATIC EQUATIONS (10 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 the quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities (problems on equations reducible to quadratic equations are excluded) 2. 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. (Applications based on sum to n terms of an A.P. are excluded) UNIT- GEOMETRY 3. CIRCLES 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. 4. CONSTRUCTIONS 1. Division of a line segment in a given ratio (internally). 2. Tangents to a circle from a point outside it. UNIT-TRIGONOMETRY 5. SOME APPLICATIONS OF TRIGONOMETRY 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°, 60°. UNIT-MENSURATION 6. SURFACE AREAS AND VOLUMES 1. Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. 2. 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-STATISTICS & PROBABILITY 7. STATISTICS Mean, median and mode of grouped data (bimodal situation to be avoided). Mean by Direct Method and Assumed Mean Method only.
 INTERNAL ASSESSMENT Marks TOTAL MARKS Periodic Tests 3 10 marks for the term Multiple Assessments 2 Portfolio 2 Student Enrichment Activities-practical work 3