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
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