Subjects | Topics |
Arithmetic | Number System – Natural numbers, Integers, Rational numbers, and Real numbers Basic Operations – Addition, Subtraction, Division, Multiplication, Square roots, Decimal and fractions |
Unitary Method | Speed, Time & Distance, Time & Work, Percentage, Profit & Loss, Simple and Compound Interest, Ratio and Proportion |
Number Theory | Division algorithm, Prime and Composite numbers, Divisibility Rules, Factors and Multiples, Factorisation, HCF, and LCM., Euclidean algorithm, logarithms, etc |
Algebra | 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) |
Trigonometry | 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. |
Geometry | 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 |
Mensuration | 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 |
Statistics | Graphical representation - Frequency Polygons Collection and Tabulation of Statistical Data, Pie charts, Bar Charts, etc. Measures of central tendency |