CBSE Class 10 Mathematics Syllabus For Both Terms

CBSE Class 10^th Mathematics Syllabus & Exam Pattern is being displayed below as per which the candidates need to prepare themselves for the exam.

Topic	Term 1	Term 2
Number System	11	–
Algebra	23	23
Geometry	17	17
Trigonometry	22	8
Statistics	17	–
Probability	–	8
Coordinate Geometry	–	11
Mensuration	–	23
Total	90	90

UNIT I: Number Systems

For Term 1

Real Numbers: Euclid’s division lemma, Fundamental Theorem of Arithmetic, irrationality of √2, √3, √5, decimal expansions, terminating/non-terminating recurring decimals

UNIT II: Algebra

For Term 1

Polynomials: Zeros of polynomial, Relationship between zeros & coefficients of quadratic polynomials, problems on division algorithm for polynomials

Pair of Linear Equations In Two Variables: Pair of linear equations in two variables & their graphical solution, Geometric representation, Algebraic conditions, pair of linear equations in two variables by substitution, elimination and cross multiplication method.

For Term 2

Quadratic Equations: ax²+bx+c=0 (a ≠ 0), Solution of the quadratic equations-

• Factorization
• Completing the square
• Using quadratic formula

Arithmetic Progressions: Finding the nth term and Sum of first n terms with their real time applications

UNIT III: Geometry

For Term 1

Triangles

For Term 2

Circles: Proving of the statements below-

• Tangent at any point of a circle is perpendicular to the radius through the point of contact
• Lengths of tangents drawn from an external point to circle are equal

Constructions: Division of a line segment in a given ratio, Tangent to a circle from a point outside it, Triangle construction similar to a given triangle.

UNIT IV: Trigonometry

For Term 1

Values (with proofs) of the trigonometric ratios of 30°, 45° and 60°, Proof & applications of the identity sin2A + cos2A = 1, ratios of complementary angles.

For Term 2:

Heights & Distances: Simple & believable problems on heights and distances, Angles of elevation / depression should be only 30°, 45°, 60°

Unit V: Statistics & Probability

For Term 1

Statistics: Mean, median, mode, Cumulative frequency graph.

For Term 2

Probability: Definition, Simple problems on single events, not using set notation.

UNIT VI: Coordinate Geometry

For Term 2

Lines in two-dimensions: Graphs of linear equation, Geometrical representation of quadratic polynomials, Distance between two points and section formula (internal), Area of a triangle.

UNIT VII: MENSURATION

For Term 2

Areas Related To Circles: Area, perimeter, circumference of a circle, sectors, segments In calculating area Only central angles 60°, 90° and 120° are included in area calculation, Plane figures involving triangles, simple quadrilaterals and circle.

Surface Areas & Volumes: Surface areas & volumes of cubes, cuboids, spheres, hemispheres and right circular cylinders/cones, Frustum of a cone, converting one type of metallic solid into another and other mixed problems

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