CDS Maths Syllabus 2025, Download CDS Mathematics Syllabus PDF

CDS Maths Syllabus

CDS 2025: The authority will conduct the CDS 1 2025 exam on April 13, 2025.  In the CDS exam, the Mathematics paper is important for candidates who apply for the Indian Military Academy (IMA), Indian Naval Academy (INA), and Air Force Academy (AFA). Candidates for the Officers Training Academy (OTA) are not required to appear for Mathematics papers. The Mathematics section comprises 100 objective-type questions and carries 100 marks. The standard of the CDS Maths syllabus is of an Intermediate level. Questions in Elementary Mathematics are moderate in terms of difficulty level. To ace the section, candidates are advised to solve as many previous years’ question papers as possible to score good marks in this section. Read below for more details on the CDS Mathematics syllabus.

The CDS exam is scheduled to be conducted at various centres across the country and the CDS answer key will be made available on the same day. However, the answer key will be unofficial as it will be released by the coaching institutes. The official CDS answer key will be released after the completion of the CDS recruitment process. 

CDS Maths Syllabus Highlights

The CDS exam is conducted for admission to IMA, INA, AFA, and OTA. Candidates can check below some of the important highlights of the CDS exam Maths syllabus:

• The Mathematics paper is conducted for candidates who apply for IMA, INA, and AFA
• The paper is of Class 10 level and consists of 100 questions
• The duration of the paper is two hours
• The marking scheme of each question is one mark for the correct attempt and 0.33 marks are deducted for the wrong attempt
• There is no deduction of marks for unattempted questions

Also Read: CDS Exam Pattern

CDS Maths Syllabus

CDS Maths syllabus PDF comprises questions from topics such as Number System, Elementary Number Theory, Algebra, Trigonometry, Geometry, Mensuration, and Statistics. The best way to clear the concept of the CDS Elementary Mathematics syllabus is to refer to the Class 9 and 10 books. Understanding the concepts will help candidates to create their own shortcuts. Candidates can check below CDS Maths topic-wise weightage below.

CDS Maths Syllabus PDF for Number System

Natural numbers	Integers	Rational and Real Number
Additions	Subtractions	Multiplications
Square Roots	Decimal fractions	Unitary method
Time and Work	Percentages	Applications to simple and compound Interest
Ratio and Proportion	Variations	Profit and Loss
Time and distance	Division	Fundamental Operations

Maths Syllabus for CDS Elementary Number Theory

Division algorithm	Prime and composite numbers
Tests of divisibility by 2, 3, 4, 5, 9 and 11	Multiples and factors
Factorization Theorem	H.C.F. and L.C.M.
Euclidean algorithm	Logarithms to base 10
Laws of logarithms	Use of logarithmic tables

Elementary Mathematics Syllabus for CDS Algebra

Basic Operations	Simultaneous linear equations in two unknowns—analytical and graphical solutions
Simple Factors	Simultaneous linear inequalities in two variables and their solutions
Remainder Theorem	Practical problems leading to two simultaneous linear equations or inequalities in two variables or quadratic equations in one
Theory of Polynomials	Set Language and set notation
HCF & LCM	Relation between its roots and coefficients (Only real roots will be considered)
Solutions of quadratic equations	Variable & their solutions
Law of Indices	Rational Expressions and Conditional Identities

CDS Maths Syllabus for Trigonometry

• Simple trigonometric identities
• Use of trigonometric tables
• Simple cases of heights and distances
• 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°.

CDS Maths Topic-wise Weightage for Geometry

• Lines and angles
• Plane and plane figures
• Properties of angles at a point
• Sides and angles of a triangle
• Congruence 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 normal and Loci

CDS Maths Syllabus for Statistics

• Collection and tabulation of data.
• Measures of central tendency: mean, median, mode.
• Graphical representation: frequency polygons, bar charts, histograms, pie charts.

CDS Syllabus Maths for Mensuration

Areas of squares	Rectangles
Parallelograms	Triangle and Circle
Areas of figures which can be split up into smaller figures	Surface area and volume of cuboids
Lateral Surface, Area and volume of spheres	Volume of Right Circular Cones, cylinders and Surface

CDS Maths Topic-wise Weightage

The topic-wise weightage of CDS Maths syllabus is given below. Candidates can also check the difficulty level of different topics in UPSC CDS Maths syllabus

Topics	Level of difficulty	Number of Questions (Approx)
Number System	Easy	20
Mensuration	Moderate	13-15
Geometry	Moderate to Difficult	11-15
Time, Speed and Distance	Moderate	6
Simple Interest/ Compound interest	Easy	2-5
Trigonometry	Moderate	12
Algebra	Moderate to Difficult	7-10
Percentage	Easy-Moderate	2-4
Mixture	Moderate	1
Time and Work	Moderate	5
Ratio and Proportion	Moderate	2
Profit and Loss	Moderate	1
DI and DS	Moderate	3
Statistics	Easy	8

How to Prepare for CDS Mathematics?

The tips and tricks to prepare for the CDS exam are given below. The candidates can get the idea to cover the maths syllabus by going through the enlisted points below:

• Candidates can use books of NCERT upto Class 10 to clear the concept of topics
• Candidates should learn the tricks of the sum of natural numbers, the sum of squares, the sum of cubes, tests of Divisibility and HCF AND LCM as well as few important formulas
• Candidates should choose the easy methods of solving questions
• Remember all the important formulas in Algebra
• To master any topic, do practice several different familiar types of questions
• Write the geometry formulas down on a piece of paper and stick them onto the wall where you can see them regularly
• Candidates should prepare for Mean, Median, Mode, Variance, and Standard deviation

Also Read: CDS Preparation Tips 

CDS Mathematics Books

The candidates preparing for the upcoming CDS exam must go through the CDS Mathematics books given below to ensure the best preparation for the exam.

Name of Books	Author/Publisher
Quantitative Aptitude for Competitive Examination	RS Aggarwal(S Chand Publication)
Mathematics for CDS Examination	RS Aggarwal(S Chand Publication)
Quicker Mathematics	M.Tyra