CDS Syllabus for Mathematics
CDS Syllabus Mathematics: The CDS Elementary Mathematics syllabus consists of topics such as
arithmetic, trigonometry, geometry, measurements, statistics, and more. To enhance preparation and
achieve favorable outcomes in this paper, consistent practice and dedicated efforts are necessary. It is
important for applicants to maintain both accuracy and speed in order to answer the questions within the
allotted time frame. For a comprehensive understanding of the syllabus, referring to the provided table
for the mathematics syllabus of the CDS 1 2024 exam is recommended.
Arithmetic
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.
- 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.
Algebra
- Basic operations and Simple factors.
- Remainder Theorem.
- 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.
- Simultaneous linear inequalities in two variables & their
solutions.
- Practical issues with solutions that result in two
simultaneous linear equations, inequalities in two
variables, or quadratic equations in one variable.
- Set notation and set language.
- Rational expressions and conditional identities.
Trigonometry
- 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.
- Use of trigonometric tables.
- Simple cases of heights and distances.
Geometry
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.
Mensuration
- 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.
Statistics
- Collection and tabulation of statistical data.
- Graphical representation of frequency polygons, bar charts,
histograms, pie charts etc.
- Measures of central tendency.
