CBSE Class 10 Math Syllabus, Unit-wise weightage, Exam pattern, Exam preparation tips and tips to maximize score

Unit 1- Number System:

i)                    Real Numbers:

                          Euclid’s division lemma; The fundamental theorem of Arithmetic; Terminating/Non-terminating recurring decimals.

Unit 2- Algebra:

i)  Polynomials:  

                      Zeroes & coefficients of quadratic polynomials, division algorithm for Polynomials.

ii)    Pair of Linear Equations in Two Variables:

                                                                 Algebraic method of solving the pair of            linear equation-by substitution, by eliminating and by cross multiplication method; Equations reducible to linear equations.

iii)   Quadratic Equations:

                                  Standard form of quadratic equation; Solution of quadratic       equations by factorization, by completing the square; Nature of roots.

iv)  Arithmetic Progressions:

                                           Introduction; Derivation of the n^th term & sum of the n terms of an A.P.

Unit 3- Coordinate Geometry:

Lines:

                  Graph of linear equations; Distance formula, Section formula; Area of the triangle.

Unit 4- Geometry:

   i) Triangles:

                    Similar figures; Similar triangles-(Prove) If a line is drawn parallel to one side of a triangle, the other two sides are divided in the same ratio; If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side; Basic proportionality theorem; Criteria of similarity; Area of similar triangles; Pythagoras theorem and its converse.

ii) Circle:

         Tangent to a circle and it’s construction; Number of tangent from a point to a circle.

iii) Constructions:

                    Division of line segment; Construction of similar triangle; Construction of tangents to a circle.

Unit 5- Trigonometry:

 i) Introduction to Trigonometry:

                                            Trigonometric ratios of an acute angle; Values of the trigonometric ratios of 30°, 45°, and 60°. The relationship between ratios.

ii) Trigonometric Identities:

                                        Trigonometric ratios of complementary angles; Proof and applications of the identities.

iii) Height and Distances:

                                 The angle of elevation; Angle of depression; Problems based on angles including only 30°, 45°, 60°.

Unit 6- Mensuration

 i) Areas related to circles:

                                Motivate the area of a circle; area of sectors and segments of a circle. Problems based on the areas and perimeter of the plane figures.

ii) Surface Areas and Volumes:

                                         Surface areas and volumes of combinations of any two of the figures: cubes, cuboids, spheres, hemispheres and right circular cylinder/cones. Frustum of a cone; Conversion of one solid shape into another.

Unit 7- Statistics and Probability:

 i) Statistics:

              Mean, median and mode of grouped data; Cumulative frequency graph.

ii) Probability:

                   Classical definition of probability; Simple problems on single events.

Unit

Unit Name

Marks

1

NUMBER SYSTEM

06

2

ALGEBRA

20

3

COORDINATE GEOMETRY

06

4

GEOMETRY

15

5

TRIGONOMETRY

12

6

MENSURATION

10

7

STATISTICS AND PROBABILITY

11

Internal Assessment

20 marks

Periodic Test

10 marks

Notebook Submission

05 marks

Lab Practical

05 marks

Section

Number of Questions

Marks per Question

A

6

1

B

6

2

C

10

3

D

8

4