# CBSE Class 10 Maths Syllabus 2022 For Term 1 & Term 2 | Download Term Wise PDF

CBSE Class 10 Syllabus For Maths 2022 For Term 1 & Term 2: This article contains the CBSE Class 10 Maths Revised Syllabus 2021-2022. You can download the new syllabus for the current academic session’s Term 1 and Term 2 from this page. The Board has announced this revised syllabus in compliance with the new CBSE Class 10 exam policy, which went into effect in the current academic year. Term 1 Exam in November-December 2021 and Term 2 Exam in March-April 2022 will be conducted using the term-end Class 10 Syllabus.

## CBSE Class 10 Maths Syllabus 2022 For Term 1 & Term 2

The CBSE Class 10 Syllabus for the examinations 2021-22 has been released by the board. Students can download the CBSE Class 10 Maths Board Exam term wise Syllabus PDF from the link below. They can learn about the topics they must cover in the subject by reading the CBSE Class 10 Maths Term Wise Syllabus PDF.

### CBSE Class 10 Syllabus For Maths Term 1 Course Structure 2021-22 with Marking Scheme

The CBSE 10th Maths syllabus is divided into seven units, as shown in the table below. The table also shows the weighted average of each unit’s marks. In the PDF link provided above, the CBSE Syllabus for Class 10 Basic Maths and Standard Maths with Marking Scheme is also included.

One Paper
90 Minutes

#### CBSE Class 10 Maths Term 1 Syllabus 2021-2022

Units Unit Name Marks
I Number Systems 06
II Algebra 10
III Coordinate Geometry 06
IV Geometry 06
V Trigonometry 05
VI Mensuration 04
VII Statistics and Probability 03
Total  40
Internal Assessment 10
Grand Total  50

The CBSE Class 10 Maths Internal Assessment for the first term is available below for students to check.

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

UNIT-NUMBER SYSTEMS

1. REAL NUMBER

Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples. The decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals.

UNIT-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 a 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 are reducible to linear equations.

UNIT-COORDINATE GEOMETRY

4. COORDINATE GEOMETRY

LINES (In two dimensions)

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

UNIT-GEOMETRY

5. TRIANGLES

Definitions, examples, counterexamples 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 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 the 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 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

UNIT-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 the area of a segment of a circle, problems should be restricted to a central angle of 60° and 90° only. Plane figures involving triangles, simple quadrilaterals, and circles should be taken.)

UNIT- STATISTICS & PROBABILITY

8. PROBABILITY

The classical definition of probability. Simple problems on finding the probability of an event.

### CBSE Class 10 Syllabus For Maths Term 2 Course Structure 2021-22 with Marking Scheme

#### CBSE Class 10 Maths Term 2 Syllabus 2021-2022

Units Unit Name Marks
I Algebra (Cont.) 10
II Geometry (Cont.) 09
III Trigonometry (Cont.) 07
IV Mensuration (Cont.) 06
V Statistics and Probability (Cont.) 08
Total 40
Internal Assessment 10
Grand Total   50

CBSE Class 10 Maths Internal Assessment for second term is given below.

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

CBSE Class 10 Syllabus For Maths UNIT-ALGEBRA

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 a sum to n terms of an A.P. are excluded)

CBSE Class 10 Syllabus For Maths 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.

CBSE Class 10 Syllabus For Maths UNIT-TRIGONOMETRY

5. SOME APPLICATIONS OF TRIGONOMETRY

HEIGHTS AND DISTANCES-Angle of elevation, Angle of Depression. Simple problems with heights and distances. Problems should not involve more than two right triangles. Angles of elevation/depression should be only 30°, 45°, 60°.

CBSE Class 10 Syllabus For Maths 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).

CBSE Class 10 Syllabus For Maths 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.

## Download Chapter-Wise NCERT Textbooks For CBSE Class 10 Maths 2022 For Term 1 & Term 2

Here you can easily download the Chapter-Wise Class 10 NCERT Textbooks PDF. You can find the CBSE Class 10 Syllabus 2021-22 Maths Textbooks in Hindi and English With solutions.

## Other Important Links Related To CBSE Class 10 Maths 2022 For Term 1 & Term 2

We hope our article on CBSE Class 10 Syllabus For Maths 2021 has helped you out. If you have any queries regarding the CBSE Class 10 Exam, kindly drop a comment in the below section. We will get back to you as soon as possible.

## FAQs on CBSE Class 10 Syllabus For Maths 2022 For Term 1 & Term 2

### Where can I get the CBSE Class 10 Syllabus For Maths 2021-22?

You can get the CBSE Class 10 Syllabus For Maths 2021-22 from the above article.

### What is the Syllabus of Class 10 Maths Unit VII – Statistics?

Mean, median, and mode of grouped data (bimodal situation and step deviation method for finding the mean to be avoided).

### What is the weightage of Class 10 Unit I – Number Systems?

As per the CBSE Class 10 Syllabus For Maths, the weightage of Class 10 Unit I – Number Systems is 6 marks.

### Can I get the CBSE Class 10 Syllabus For Maths for Term 2 free PDF?

Yes. You can get the CBSE Class 10 Syllabus For Maths for Term 2 free PDF from the above blog.

### Is there any difference in CBSE Class 10 Syllabus For Maths for Term 1 & Term 2?

Yes, CBSE Class 10 Syllabus For Maths for Term 1 is completely different from CBSE Class 10 Syllabus For Maths for Term 2.

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