CTET - Mathematics (Complete Syllabus of Paper II)

 

CTET

Maths – Paper II (Complete Syllabus)

 ¿ Number System

·        Numbers

·        Indian Number System

·        International Number System

·        Place Value and Face Value of the number

 

¿ Types of Numbers

·        Natural Numbers

·        Whole Numbers

·        Integers

·        Rational Numbers

·        Irrational Numbers

·        Real Numbers

·        Even Numbers

·        Odd Numbers

·        Prime Numbers

·        Composite Numbers

 

¿ How to form Smallest and Greatest n-digit numbers

 

¿ Operations on Numbers

·        Addition

·        Subtraction

·        Multiplication

·        Division

 

¿ Properties

·        Commutative Property

·        Associative Property

·        Distributive Property

·        Identity Element

·        Inverse Element

 

¿ Different rules

·        How to find sum of first n-natural numbers?

·        How to find sum of squares of first n-numbers?

·        How to find sum of cubes of first n-numbers?

·        How to find units place of the product of given numbers?

¿ Playing with Numbers

·        Divisibility tests for 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 25

 

¿ Roman Numbers

 

¿ Decimal Numbers

·        Standard form of decimal numbers

·        Operations on decimal numbers

(Addition, Subtraction, Multiplication, Division)

 

¿ Fractions

·        Types of Fractions

·        Like and Unlike fractions

·        Proper fraction

·        Improper fraction

·        Mixed fraction

·        Inverse fraction

·        Equivalent fractions

·        Ascending Order and Descending order of fractions

¿ Operations on Fractions

(Addition, Subtraction, Multiplication, Division)

 

¿ Approximate Value

·        Estimation

(Estimated sum, difference, product)

 

¿ HCF and LCM

·        Different methods of to find HCF and LCM

·        Relation between HCF, LCM and the given numbers

 

¿ Squares and square root/ Cubes and cube root

·        Methods to find square root and cube root

·        Interesting facts about square roots

 

¿ Exponents

·        Laws of Exponents

·        Sums based on Laws of Exponents

¿ VBODMAS

·        Vinculum

·        Bracket

·        Of

·        Division

·        Multiplication

·        Addition

·        Subtraction

 

¿ Ratio and Proportion

¿ Percentage

 

¿ Algebra

·        Types of Algebraic Expressions

·        Operations

(Addition, Subtraction, Multiplication, Division)

 

¿ Algebraic Identities

 

¿ Polynomials

·        Types

·        Value of polynomials

·        Zero of polynomials

·        Factor Theorem

·        Remainder Theorem

 

¿ Linear Equations

·        Linear Equations in one Variable

·        Simple rules to solve linear equation in one variable

·        Linear Equation in 2 variables

·        Methods to solve linear equations in 2 variables

 

¿ Quadratic Equations

·        Roots of quadratic equation

·        Methods to find roots of quadratic equations

·        Relation between roots and coefficient of variables

·        Discriminant and nature of roots

 

¿ Profit and Loss

·        Problems based of CP, SP, Profit, Loss, Profit %, Loss %

 

¿ Simple Interest and Compound Interest

·        What is Simple Interest?

·        What is Compound Interest?

·        What is difference between Simple and Compound Interest?

·        How to find Simple and Compound Interest

 

¿ Speed, Time Distance

·        How to solve problems using DST triangle?

·        Important points to be considered while solving problems

 

¿ Probability

·        Meaning

·        Problems

 

¿ Geometry

·        Point, Line, Plane, Angles, Triangles

·        Types of Angles

·        Types of Triangles

·        Based on length of sides and measure of angles

¿ Few Important Definitions

·        Perpendicular Bisector

·        Angle Bisector

·        Median

·        Altitude

 

¿ Congruent Triangles

¿ Similar Triangles

 

¿ Quadrilaterals

·        Different types of quadrilaterals

·        And their properties

 

¿ Circles

·        Centre

·        Radius

·        Diameter

·        Segment

·        Sector

·        Chord

·        Tangent

·        Circumference

·        Area

¿ Polygon

·        Number of sides

·        Interior Angles

·        Exterior Angles

 

¿ Solid Figures

·        Cube

·        Cuboid

·        Cylinder

·        Cone

·        Sphere

·        Hemisphere

·        Frustum of Cone

·        (LSA, CSA, TSA, Volume)

 

¿ Data Handling (Statistics)

·        Mean

·        Median

·        Mode

·        Graphs

·        (Bar graph, Line graph, Histogram, Frequency polygon, pie chart)