CDS Syllabus 2026: Download Maths GK and English Syllabus PDF

Exam Conducting Body

Union Public Service Commission (UPSC)

Exam Name

Combined Defence Services Examination

Selection Process

Written Test (Objective) & SSB Interview

Total Papers

IMA, INA, and AFA= 3

OTA= 2

Exam Mode

Offline (Pen and Paper)

Total Marks (Written)

300 (100 per paper)

Negative Marking

Yes, 1/3rd mark for wrong answers

Exam Duration

2 hours per paper

CDS 1 Syllabus 2026

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Topic

Sub-Topics

Arithmetic

• Number System: Natural numbers, Integers, Rational and Real numbers.

• Fundamental operations, addition, subtraction, 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.

Algebra

• 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.

• Simultaneous linear equations in two unknowns: analytical and graphical solutions.

• Simultaneous linear inequations 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.

Geometry

• 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, (ix) Loci.

Mensuration

• Areas of squares, rectangles, parallelograms, triangle and circle.

• Areas of figures which can be split up into figures,

• Surface area and volume of cuboids, lateral surface and volume of right circular cones and cylinders, surface area and volume of spheres.

Trigonometry

• Simple trigonometric identities.

• Use of trigonometric tables.

• Simple cases of heights and distances

Statistics

• Collection and tabulation of statistical data

• Graphical representation frequency polygons, histograms, bar charts, pie charts etc.

• Measures of central tendency.