Candidates can check the UPSC CDS Syllabus in the table given below.
Sections
Topics
English
Spotting Errors Questions
Sentence Arrangement Questions
Synonyms & Antonyms
Selecting Words
Ordering of Sentence
Comprehension Questions
Ordering of words in a sentence
Fill in the blanks questions
Idioms and Phrases
General Awareness (GK)
Economics
Physics
Current Affairs
Politics
Chemistry
Sociology
History
Defence related Award
Geography
Environment
Sport
Biology
Cultural
Book
Statement
True/false
Elementary Mathematics
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 (Only real roots to be considered)
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
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 ×, cosine ×, Tangent × when 0° < × < 90°
Values of sin ×, cos × and tan ×, for ×= 0°, 30°, 45°, 60° and 90°
Simple trigonometric identities
Use of trigonometric tables
Simple cases of heights and distances
Geometry
Lines and angles
Plane and plane figures
Theorems on Properties of angles at a point
Parallel lines
Sides and angles of a triangle
Congruency of triangles
Similar triangles
Concurrence of medians and altitudes
Properties of angles
sides and diagonals of a Parallelogram
rectangle and square
Circles and its properties including tangents and normals
Loci
Mensuration
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