Maths Syallabus For CDS

 

CDS Syllabus For Elementary Maths

Elementary Maths consists of basic topics from High School Arithmetic, Algebra, Geometry, Statistics, Trigonometry, and Mensuration.

CDS Mathematics Syllabus – Arithmetics

The Arithmetic section basically tests your knowledge of Number System, Elementary Number Theory, and other basic concepts as below:

• – Basic Operations ( Addition, Subtraction, Multiplication, Division)
• – Number Series (Natural numbers, Integers, Rational and Real numbers)
• – Square Roots, Decimal Fractions
• – Unitary Method
• – Time and Distance
• – Time and Work
• – Percentage
• – Applications to Simple and Compound Interest
• – Profit and Loss
• – Ratio and Proportion
• – Variation
• – Division Algorithm
• – Prime and Composite Numbers
• – Tests of Divisibility by 2, 3, 4, 5, 9 and 11
• – Multiples and Factors
• – Factorization
• – Theorems
• – Highest Common Factor (HCF)
• – Lowest Common Multiple (LCM)
• – Euclidean Algorithm
• – Logarithms to Base 10
• – Laws of Logarithms
• – Use of Logarithmic Tables

CDS Mathematics Syllabus – Algebra

• – Simple Factors
• – Remainder Theorem
• – Highest Common Factor
• – Lowest Common Multiple
• – Theory of Polynomials
• – Solutions of Quadratic Equations
• – The relation between Quadratic Equation Roots and Coefficients
• – Simultaneous Linear Equations- 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 and their solutions
• – Set Language and Set Notation
• – Rational Expressions
• – Conditional Identities
• – Laws of Indices

CDS Mathematics Syllabus – 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
• – The 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

CDS Mathematics Syllabus- Statistics

• – Collection and Tabulation of Statistical Data
• – Graphical Representation
• – Frequency Polygons
• – Histograms
• – Bar Charts
• – Pie Charts
• – Measures of Central Tendency

CDS Mathematics Syllabus – Trignometry

• – Sin x, Cosine x, Tangent x when 0 degree < x< 90 degree values of sin x
• – cos x and tan x for x= degree 0, 30, 45, 60 and 90
• – Simple Trigonometric Identities
• – Use of Trigonometric Tables
• – Simple Cases of Heights and Distance

Mensuration

• – Area of Square
• – Rectangle
• – Parallelograms
• – Triangle
• – Circle
• – Area of Figures which can be Split up into Figures (field book)
• – Surface Area and Volume of Cuboids
• – Lateral Surface
• – Volume of Right Circular Cones and Cylinders
• – Surface Area and Volume of Spheres

....click here for Important Book List for CDS