Arithmetic
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- Number System
- Natural numbers, Integers, Rational
and Real numbers.
- Fundamental operations, addition,
subtraction, multiplication, division,
Square roots, Decimal fractions.
- Unitary method, time and work, time
and distance, percentages.
- Applications of profit and loss, simple
and compound interest, ratio and
proportion, variation.
- Elementary Number Theory
- Division algorithm.
- Prime and composite numbers.
- Tests of divisibility by 2, 3, 4, 5, 9 and
11.
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Multiples and factors.
- Factorisation Theorem.
- H.C.F. and L.C.M.
- Euclidean algorithm.
- Logarithms to base 10, use of
logarithmic tables, laws of logarithms.
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Algebra
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- Basic operations and Simple
factors
- Remainder Theorem.
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H.C.F. and L.C.M
- Theory of polynomials, relation
between its roots and coefficients
(Only real roots to be considered),
solutions of quadratic equations.
- Simultaneous linear equations in two
unknowns — analytical & graphical
solutions.
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Simultaneous linear inequalities in two
variables & their solutions.
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Practical issues with solutions that
result in two simultaneous linear
equations, inequalities in two
variables, or quadratic equations in
one variable.
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Set notation and set language.
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Rational expressions and conditional
identities.
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Trigonometry
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- Sine x, cosine x, Tan x when 0° < x <
90° , Values of sin x, cos x & tan x, for x=0°, 30°,
45°, 60° & 90°.
- Simple trigonometric
identities.
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Use of trigonometric tables.
- Simple cases of heights and distances.
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Geometry
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- Plane and plane figures, Lines and
angles,
Theorems on:
- Properties of Angles at a Point
- Parallel Lines
- Sides and Angles of a Triangle
- Congruence of Triangles
- Similar Triangles
- Concurrence of Medians and Altitudes
- Properties of sides, angles and
diagonals of a rectangle, parallelogram
and square
- Circles and their properties including
tangents and normals
- Loci
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Mensuration
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- Areas of parallelograms, squares,
rectangles, triangles and circles.
- Areas of figures can be split up into
these figures (Field Book), lateral
surface and volume of right circular
cones and cylinders, Surface area and
volume of cuboids, and surface area
and volume of spheres.
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Statistics
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- Collection and tabulation of
statistical
data.
- Graphical representation of frequency
polygons, bar charts, histograms, pie
charts etc.
- Measures of central tendency.
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