Number System-Natural numbers, Integers, Rational
and Real numbers. Fundamental operations addition,
subtraction, multiplication, division, Square roots,
Unitary method-time and distance, time and work,
percentages, applications to simple and compound
interest, profit and loss, ratio and proportion,
Elementary Number Theory- Division algorithm.
Prime and composite numbers. Tests of divisibility
by 2,3,4,5,9 and 11. Multiples and factors.
Factorization Theorem. H.C.F. and L.C.M. Euclidean
algorithm, Logarithms to base 10, laws of
logarithms, use of logarithmic tables.
Basic Operations, simple factors, Remainder Theorem,
H.C.F., L.C.M. Theory of polynomials, solutions of
quadratic equations, relation between its roots and
coefficients (Only real roots to be considered).
Simultaneous linear equations in two
unknowns-analytical and graphical solutions.
Simultaneous linear equations in two variables and
their solutions. Practical problems leading to two
simultaneous linear equations or inequations in two
variables or quadratic equations in one variable &
their solutions. Set language and set notation,
Rational expressions and conditional identities,
Laws of indices.
Trigonometry: Sine x, cosine x, Tangent x when 00 < x <
900 Values of sin x, cos x and tan x, for
x = 00, 300, 450,
600 and 900
Simple trigonometric identities.
Use of trigonometric tables.
simple cases of heights and distances.
Lines and angles, Plane and plane figures, Theorems
on (i) Properties of angles at a point (ii) Parallel
lines, (iii) Sides and angles of a triangle, (iv)
Congruency of triangles, (v) Similar triangles, (vi)
Concurrence of medians and altitudes, (vii)
Properties of angles, sides and diagonals of a
parallelogram, rectangle and square (viii) Circles
and its properties including tangents and normals,
Areas of squares, rectangles, parallelograms,
triangle and circle. Areas of figures which can be
split up into these figures (Field Book), Surface
area and volume of cuboids, lateral surface and
volume of right circular cones and cylinders,
surface area and volume of spheres.
Collection and tabulation of statistical data,
Graphical representation frequency polygons,
histograms, bar charts, pie charts etc
Measures of central tendency.