CDS Syllabus for Mathematics

Arithmetic, trigonometry, geometry, measures, statistics, and other subjects are covered in the CDS Elementary Mathematics curriculum. It will take constant practice and committed work to improve preparedness and produce positive results in this paper. It is imperative for candidates to uphold precision and swiftness in order to complete the questions within the designated time range. Referencing the accompanying table for the mathematics syllabus of the CDS 1 2024 exam is advised for a thorough knowledge of the syllabus.

Elementary Mathematics

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.
  • Laws of indices.

Arithematic

  • Number System: Natural numbers, Integers, Rational and Real numbers.
  • Fundamental operations: addition, substraction, multiplication, division, Square roots, Decimal fractions
  • Unitary method
  • Time and distance
  • Time and work
  • Percentages
  • Applications to simple and compound interest
  • Profit and loss
  • 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
  • Laws of logarithms
  • Use of logarithmic tables

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 frequency polygons histograms bar charts pie charts etc
  • Measures of central tendency

CDS Syllabus 2024: Exam Pattern, Marking Scheme

CDS Syllabus 2024: The Union Public Service Commission (UPSC) administers the “Combined Defence Services” (CDS) Examination twice a year to recruit candidates for the Indian Military Academy, Officers Training Academy, Indian Naval Academy, and Indian Air Force Academy. The CDS 1 Notification 2024 has been released by UPSC on 20th December 2023 for 457 vacancies.

In this article, we have discussed Subjectwise CDS Syllabus 2024, Exam Pattern of CDS, and many more in detail.

Let’s dive right in.

CDS syllabus 2024

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