# CBSE Class 10 Mathematics Syllabus 2017-18

Download *latest cbse class 10 Mathematics syllabus* for the session 2017-18. This year CBSE has changed the exam pattern. Maths Board exam will consist of 80 marks and 20 marks will be internal of assessment. In internal assessment Periodical Test will be of 10 Marks, Note Book Submission of 05 Marks and Lab Practical (Lab activities to be done from the prescribed books) of 05 Marks. This year, there is no CCE pattern or division of syllabus for SA1 or SA2 as it used to be before. This year complete syllabus will be there in your final/annual exam. Each year cbse keep on issuing revised syllabus. Although the topics and textbooks remain same, the contents within vary year by year. Along with

**Mathematics syllabus for class 10**cbse has also issued the chapter-wise breakup of questions along with weightage of each chapter. The package also enlists the learning objectives. That’s why it is strongly recommended to download new

*class 10 maths syllabus 2017-18*this year and be on safe side.

This year is going to be tough for you because you’ve to cover complete syllabus for your board exam. Earlier it used to be only half the syllabus ie syllabus of SA2. So it is very important for you to prepare for your board exams smartly according to the mathematics syllabus by cbse because it will reduce the topics, will tell the weightage of each chapter so that you can invest more time on important topics.

Here we have presented the * CBSE syllabus for Mathematics class 10* in the same format as released by CBSE, without any changes or editing from our side. Students are advised to download the

*class 10 cbse mathematics syllabus*for the session 2017-2018 even if they have the previous year syllabus because there is a lot of changes in the syllabus, question pattern and weightage of each chapter.

Click on the button below to download the syllabus in pdf format. Scroll down to view the detailed syllabus.

CBSE Mathematics Syllabus Class 10 (pdf)

Click for Class X Sample Papers by CBSE 2018

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## Class 10 Mathematics Syllabus for Session 2017-18

### UNIT I: NUMBER SYSTEMS

**1. REAL NUMBERS **(15 Periods)

Euclid’s division lemma, Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of results – irrationality of √2, √3, √5, decimal expansions of rational numbers in terms of terminating/non-terminating recurring decimals.

### UNIT II: ALGEBRA

**1. POLYNOMIALS **(07 Periods)

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients.

**2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES **(15 Periods)

Pair of linear equations in two variables and their graphical solution. Geometric representation of different possibilities of solutions/inconsistency.

Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination and by cross multiplication method. Simple situational problems must be included. Simple problems on equations reducible to linear equations.

**3. QUADRATIC EQUATIONS **(15 Periods)

Standard form of a quadratic equation ax^{2}+bx+c=0, (a ≠ 0). Solution of the quadratic equations (only real roots) by factorization, by completing the square 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 **(08 Periods)

Motivation for studying Arithmetic Progression Derivation of the n^{th} term and sum of the first n terms of A.P. and their application in solving daily life problems.

### UNIT III: COORDINATE GEOMETRY

**1. LINES (In two-dimensions) **(14 Periods)

Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle.

### UNIT IV: GEOMETRY

**1. TRIANGLES ** (12 Periods)5Definitions, examples, counter examples of similar triangles.

- (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.
- (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
- (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
- (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
- (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.
- (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 on 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 traingle.

**2. CIRCLES **(08 Periods)

Tangents to a circle motivated by chords drawn from points coming closer and closer to the point.

- (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
- (Prove) The lengths of tangents drawn from an external point to circle are equal.

**3. CONSTRUCTIONS **(08 Periods)

- Division of a line segment in a given ratio (internally).
- Tangent to a circle from a point outside it.
- Construction of a triangle similar to a given triangle.

### 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 0° and 90°. Values (with proofs) of the trigonometric ratios of 30°, 45° and 60°. Relationships between the ratios.

**2. TRIGONOMETRIC IDENTITIES **(15 Periods)

Proof and applications of the identity sin^{2}A + cos^{2}A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.

**3. HEIGHTS AND DISTANCES **(8 Periods)

Simple and believable 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 VI: MENSURATION

**1. AREAS RELATED TO CIRCLES ** (12 Periods)

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°, 90° and 120° only. Plane figures involving triangles, simple quadrilaterals and circle should be taken).

**2. SURFACE AREAS AND VOLUMES **(12 Periods)

(i) Problems on finding surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone.

(ii) 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

**1. STATISTICS ** (18 Periods)

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

**2. PROBABILITY ** (10 Periods)

Classical definition of probability. Simple problems on single events (not using set notation).

### INTERNAL ASSESSMENT (20 Marks)

• Periodical Test 10 Marks

• Note Book Submission 05 Marks

• Lab Practical (Lab activities to be done from the prescribed books) 05 Marks

#### PRESCRIBED BOOKS:

1. Mathematics – Textbook for class IX – NCERT Publication

2. Mathematics – Textbook for class X – NCERT Publication

3. Guidelines for Mathematics Laboratory in Schools, class IX – CBSE Publication

4. Guidelines for Mathematics Laboratory in Schools, class X – CBSE Publication

5. Laboratory Manual – Mathematics, secondary stage – NCERT Publication

6. Mathematics exemplar problems for class IX, NCERT publication.

7. Mathematics exemplar problems for class X, NCERT publication.

## Class 10 Mathematics Syllabus for Session 2016-17

Download *latest cbse class 10 Mathematics syllabus* for the session 2016-17. This year CBSE has issued the syllabus as usual. This year, there in CCE pattern we have division of syllabus for SA1 or SA2 as it used to be earlier. Each year cbse keep on issuing revised syllabus. Although the topics and textbooks remain same, the contents within vary year by year. Along with

*cbse has also issued the marking scheme along with weightage of each chapter. The package also enlists the learning objectives. That’s why it is strongly recommended to download new*

**Mathematics syllabus for class 10***class 10 maths syllabus 2016-17*to avoid any confusion.