Class 10 Mathematics Revision Notes
Real Numbers Notes
Real Numbers — Notes Real numbers are all the rational and irrational numbers together. This chapter focuses on how every number is built from primes and what their decimal expans…
Polynomials Notes
Polynomials — Notes A polynomial is an expression of the form . The degree is the highest power of with a non zero coefficient. Zeroes of a polynomial A zero is a value of for whi…
Pair of Linear Equations in Two Variables Notes
Pair of Linear Equations in Two Variables — Notes A pair of linear equations and represents two straight lines. Nature of solutions Unique solution (lines intersect): Infinitely m…
Quadratic Equations Notes
Quadratic Equations — Notes A quadratic equation has the standard form with . Methods of solving Factorisation, completing the square, and the quadratic formula: Discriminant deci…
Arithmetic Progressions Notes
Arithmetic Progressions — Notes An arithmetic progression (AP) is a sequence in which each term differs from the previous one by a fixed number , the common difference. Key formul…
Triangles Notes
Triangles — Notes This chapter studies similar triangles and the relationships between their sides. Similarity criteria Two triangles are similar by AA , SSS or SAS . In similar t…
Coordinate Geometry Notes
Coordinate Geometry — Notes Points in the plane are located using coordinates . Key formulas Distance between and : Section formula (ratio ): Midpoint: . Quick revision The midpoi…
Introduction to Trigonometry Notes
Introduction to Trigonometry — Notes Trigonometric ratios relate the angles of a right triangle to its sides. Ratios Identities Quick revision Memorise the ratios for .
Some Applications of Trigonometry Notes
Some Applications of Trigonometry — Notes Trigonometry is used to find heights and distances that cannot be measured directly. Key terms Line of sight: the line from the observer'…
Circles Notes
Circles — Notes This chapter studies tangents to a circle. Key results A tangent touches the circle at exactly one point and is perpendicular to the radius at the point of contact…
Areas Related to Circles Notes
Areas Related to Circles — Notes We measure areas and lengths within a circle of radius . Key formulas Area of a circle: ; circumference: . Length of an arc of angle : . Area of a…
Surface Areas and Volumes Notes
Surface Areas and Volumes — Notes Problems combine standard solids: cuboid, cylinder, cone, sphere and hemisphere. Key formulas Cylinder volume: ; curved surface area: . Cone volu…
Statistics Notes
Statistics — Notes This chapter deals with the mean, median and mode of grouped data. Key formulas Mean (step deviation): . Mode: . Median: . Empirical relation: . Quick revision…
Probability Notes
Probability — Notes Probability measures how likely an event is to occur. Definition For equally likely outcomes: with and . Quick revision The probability of a sure event is 1 an…