Number System – Natural numbers, Integers, Rational numbers, and Real numbers
Basic Operations – Addition, Subtraction, Division, Multiplication, Square roots, Decimal and fractions
Speed, Time & Distance, Time & Work, Percentage, Profit & Loss, Simple and Compound Interest, Ratio and Proportion
Division algorithm, Prime and Composite numbers, Divisibility Rules, Factors and Multiples, Factorisation, HCF, and LCM., Euclidean algorithm, logarithms, etc
Basic operations, Remainder theorem, Simple factors, HCF, LCM, Theory of Polynomials, the relation between its roots solutions of Quadratic Equations, and Coefficients (only real roots to be considered)
Simple trigonometric identities, Use of trigonometric tables, Values of sine x, cos x and tan x, for x = 0°, 30°, 45°, 60° & 90°, sine x, cosine x, tangent x when O° < x < 90°, and simple cases of heights and distances.
Lines & Angles, Plane & plane figures theorems on Parallel lines, Properties of angles at a point, Properties of Circle, including tangents and normal, Congruency of triangles, Similar triangles, The concurrence of medians and altitudes, Sides and angles of a triangle, Property related to angles, sides and diagonals of a parallelogram, rectangle and square
Area of Square, Rectangle, Parallelogram, Triangles & Circles
Areas of figures which can bisect into the figures
Surface area and volume of spheres, cuboids, lateral surface and volume of a right circular area of cylinders
Graphical representation - Frequency Polygons
Collection and Tabulation of Statistical Data, Pie charts, Bar Charts, etc.
Measures of central tendency