Formulas
Mathematics
135 formulas in 25 topics.
Numbers and fractions Revision sheet
- Adding two fractions Foundation
- Dividing by a fraction Foundation
- A number halfway between two numbers Class 9
- A repeating decimal as a fraction Class 9
- HCF × LCM = the product of two numbers Class 10
Algebraic identities Revision sheet
- Square of a sum Class 9
- Square of a difference Class 9
- Square of a sum of three terms Class 9
- Difference of two squares Class 9
- Product of (x + a) and (x + b) Class 9
- Product of (ax + b) and (cx + d) Class 9
- Cube of a sum Class 9
- Cube of a difference Class 9
- Difference of two cubes Class 9
- Sum of two cubes Class 9
- a³ + b³ + c³ − 3abc Class 9
Polynomials Revision sheet
- Sum of the zeroes of a quadratic Class 10
- Product of the zeroes of a quadratic Class 10
Quadratic equations Revision sheet
- The quadratic formula Class 10
- The discriminant (how many real roots) Class 10
Money and interest Revision sheet
- Simple interest Foundation
Sequences and progressions Revision sheet
- The n-th term of an arithmetic progression (a linear pattern) Class 9
- Sum of the first n natural numbers (triangular numbers) Class 9
- The n-th term of a geometric progression Class 9
- Sum of the first n terms of an arithmetic progression Class 10
- Sum of an arithmetic progression from its first and last terms Class 10
Triangles Revision sheet
- The Baudhāyana-Pythagoras theorem Foundation
- Basic proportionality theorem: AD/DB = AE/EC Class 10
Trigonometry Revision sheet
- sin²A + cos²A = 1 Class 10
- tan A = sin A ÷ cos A, and the reciprocal ratios Class 10
- Heights and distances: h = b tan θ Class 10
Coordinate geometry Revision sheet
Circles Revision sheet
- Length of a chord from its distance to the centre Class 9
- Angle at the centre is twice the angle at the circle Class 9
- Circumference of a circle Class 9
- Length of an arc Class 9
- Area of a circle Class 9
- Area of a sector Class 9
- Length of a tangent from a point outside a circle Class 10
- Area of a segment of a circle Class 10
Perimeter and area of flat shapes Revision sheet
- Perimeter of a rectangle Foundation
- Area of a rectangle Foundation
- Area of a triangle (half base times height) Foundation
- Area of a parallelogram Class 9
- Heron's formula (area of a triangle from its sides) Class 9
- Brahmagupta's formula (area of a cyclic quadrilateral) Class 9
Surface areas and volumes of solids Revision sheet
- Volume of a cuboid Foundation
- Total surface area of a cuboid Foundation
- Volume of a cylinder Class 10
- Curved surface area of a cylinder Class 10
- Volume of a cone Class 10
- Curved surface area of a cone Class 10
- Volume of a sphere Class 10
- Surface area of a sphere Class 10
Statistics Revision sheet
- Mean of grouped data Class 10
- Median of grouped data Class 10
- Mode of grouped data Class 10
Probability Revision sheet
Binomial theorem Revision sheet
- General term of a binomial expansion Class 11
- Sum of the binomial coefficients Class 11
Complex numbers Revision sheet
- Modulus of a complex number Class 11
- Multiplying complex numbers Class 11
- A complex number times its conjugate Class 11
- Dividing complex numbers Class 11
Conic sections Revision sheet
- Radius of a circle from its centre and a point Class 11
- Radius from the general equation of a circle Class 11
- Latus rectum of a parabola Class 11
- Foci of an ellipse Class 11
- Foci of a hyperbola Class 11
- Eccentricity of an ellipse or hyperbola Class 11
- Latus rectum of an ellipse or hyperbola Class 11
Limits and derivatives Revision sheet
- The limit of (xⁿ − aⁿ) ÷ (x − a) Class 11
- The limit of sin x ÷ x Class 11
- Derivative of xⁿ (the power rule) Class 11
- The product rule Class 11
- The quotient rule Class 11
- Derivative of sin x Class 11
- Derivative of cos x Class 11
Measures of dispersion Revision sheet
- Mean deviation about the mean Class 11
- Standard deviation Class 11
- Standard deviation, the shortcut form Class 11
- Coefficient of variation Class 11
Permutations and combinations Revision sheet
- Fundamental principle of counting Class 11
- Permutations of r things from n Class 11
- Arrangements with alike things Class 11
- Combinations of r things from n Class 11
- Pascal's rule Class 11
Sequences and series Revision sheet
- Sum of the first n terms of a GP Class 11
- Sum of an infinite GP Class 11
- Sum of the first n squares Class 11
- Sum of the first n cubes Class 11
- The geometric mean of two numbers Class 11
Sets Revision sheet
- Number of elements in a union Class 11
- Number of elements in a Cartesian product Class 11
- Number of relations from A to B Class 11
Straight lines Revision sheet
- Slope from two points Class 11
- Slope from the angle with the x-axis Class 11
- Slope of a perpendicular line Class 11
- Point-slope form of a line Class 11
- Two-point form of a line Class 11
- Intercept form of a line Class 11
- Distance from a point to a line Class 11
- Distance between two parallel lines Class 11
Three-dimensional geometry Revision sheet
- Distance between two points in space Class 11
- Section formula in space Class 11
- Centroid of a triangle in space Class 11
Trigonometric functions Revision sheet
- Degrees to radians Class 11
- Arc length with the angle in radians Class 11
- sin(A + B) Class 11
- sin(A − B) Class 11
- cos(A + B) Class 11
- cos(A − B) Class 11
- tan(A + B) Class 11
- tan(A − B) Class 11
- sin 2A Class 11
- cos 2A Class 11
- tan 2A Class 11
- sin 3A Class 11
- cos 3A Class 11
- cos x + cos y Class 11
- cos x − cos y Class 11
- sin x + sin y Class 11
- sin x − sin y Class 11
- 2 sin x cos y Class 11
- 2 cos x cos y Class 11
- 2 sin x sin y Class 11
- cos²A from cos 2A Class 11
- sin²A from cos 2A Class 11
- tan 3A Class 11