# Mathematics Class 10 Term-II Syllabus

The syllabus consists of seven units: (i) Number Systems, (ii) Algebra, (iii) Coordinate Geometry, (iv) Geometry, (v) Trigonometry, (vi) Mensuration, and (vii) Statistics & Probability.

### Exam Structure

 Units Marks I Algebra 10 II Geometry 9 III Trigonometry 7 IV Mensuration 6 V Statistics & Probability 8 Total 40

### Unit: Algebra

Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solution of the quadratic equations (only real roots) by factorization, and by using 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 circle are equal.

4. CONSTRUCTIONS

1. Division of a line segment in a given ratio (internally).
2. Tangent 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

(i) Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

(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: Statistics and Probability

7. STATISTICS

Mean, median and mode of grouped data (bimodal situation to be avoided). Mean by Direct Method and Assumed Mean Method only.