Pearson IIT Foundation Series - Mathematics Class 6

Cover
About Pearson
Title
Copyright
Brief Contents
Contents
Preface
Chapter Insights
Series Chapter Flow
CHAPTER 1 Numbers
	Introduction
		Hindu–Arabic System
		Notation and Numeration
		Expanded Form
	Face Value and Place Value of Digits
		Numbers to be Remembered
		International System of Numeration
	Comparison of Numbers
		Successors and Predecessors
	Integers
		Integers as Directed Numbers   Representation of Integers on the
		Number Line
		Multiplication of Integers
		Division of Integers
		Absolute Value of an Integer
	Simplification
	Practice Questions
	Answer Keys
	Hints and Explanation
CHAPTER 2 Fact ors and Multiples
	Introduction
	Factors and Multiples
		Even Numbers
		Odd Numbers
		Prime Numbers
		Sphenic Numbers
		Composite Numbers
		Twin Primes
		Co-primes
	Greatest Common Divisor or Highest Common Factor
		Prime Factorization Method
		Division Method
	Least Common Multiple
		Prime Factorization Method
		Relationship between LCM and GCD
	Divisibility
		Tests of Divisibility
		Test of Divisibility by 2
		Test of Divisibility by 3
		Test of Divisibility by 4
		Test of Divisibility by 5
		Test of Divisibility by 6
		Test of Divisibility by 8
		Test of Divisibility by 9
		Test of Divisibility by 11
	Practice Questions
	Answer Keys
	Hints and Explanation
CHAPTER 3 Fract ions and Decimals
	Introduction
	Fractions
		Comparison of Fractions
		Addition of Fractions
		Multiplication of Fractions
		Division of Fractions
	Decimal numbers
		Comparison of Decimal Numbers
		Addition and Subtraction of Decimals
		Mul tiplication and Division of Decimal Numbers
	Practice Questions
	Answer Keys
	Hints and Explanation
CHAPTER 4 Powers and Roots
	Introduction
	Laws of Exponents
	Squares and Square Roots
		Met hods for Finding the Square Root of a Number
	Cubes and Cube Roots
		Methods for Finding Cube Root of a Number
	Practice Questions
	Answer Keys
	Hints and Explanation
CHAPTER 5 Ratio and Proportion
	Introduction
	Ratio
		Terms of a Ratio
		Properties of a Ratio
		Simplest Form of a Ratio
	Proportion
		Direct and Inverse Proportions
	Practice Questions
	Answer Keys
	Hints and Explanation
CHAPTER 6 Percentages and their Applications
	Introduction
	Percentages
		Expressing x% as a Fraction
		Exp ressing the Fraction a/b as a Decimal and as a Percentage
		Percentage, a Relative Value
	Profit, Loss and Discount
		Profit and Loss
		Cost Price
		Selling Price
		Profit and Loss
		Discount
		Overheads
	Simple Interest
		Principal or Sum
		Amount
		Rate of Interest
		Simple Interest
		For mula for the Computation of Simple Interest
	Practice Questions
	Answer Keys
	Hints and Explanation
CHAPTER 7 Algebra
	Introduction
	Algebraic Expressions
		Constant
		Variable
		Algebraic Expression
		Terms
		Polynomial
		Value of an Expression
	Operations on Polynomials
		Addition of Polynomials
		Subtraction of Polynomials
		Mul tiplication of a Polynomial with a Monomial
		Division of a Polynomial by a Monomial
	Equations
		Algebraic Expressions
		Mathematical Sentence
		Mathematical Statement
		Open Sentences
		Equation
		Linear Equation
		Simple Equation
		Solving an Equation in One Variable
		Properties of Equality
	Practice Questions
	Answer Keys
	Hints and Explanation
CHAPTER 8 Geometry
	Introduction
	Basic Concepts
		Plane
		Line
		Line Segment
		Ray
		Coplanar Lines
		Intersecting Lines
		Angle
		Perpendicular Lines
		Complementary Angles
		Supplementary Angles
		Adjacent Angles
		Linear Pair
		Vertically Opposite Angles
		Concurrent Lines
		Parallel Lines
		Transversal
	Triangles
		Types of Triangles
		Constructions
	Circles
		Chord
		Secant
		Tangent
		Arc
		Circumference
		Angle Subtended by a Pair of Points
		Segment of a Circle
		Sector of a Circle
		Quadrant
	Symmetry
	Practice Questions
	Answer Keys
	Hints and Explanation
CHAPTER 9 Mensuration
	Introduction
	Plane Figures
		Units of Measurement
		Area of a Rectangle
		Area of a Square
	Solids
		Prism
		Pyramid
		Cuboid
		Cube
	Practice Questions
	Answer Keys
	Hints and Explanation
CHAPTER 10 Statistics
	Introduction
	Data
		Some Basic Definitions
		Tabulation or Presentation of Data
		Types of Data
		Statistical Graphs
		Som e Important Terms Related to Data Collection and Record
	Practice Questions
	Answer Keys
	Hints and Explanation
CHAPTER 11 Sets
	Introduction
	Set
		Elements of a Set
		Cardinal Number of a Set
		Representation of Sets
		Some Simple Definitions of Sets
		Operation on Sets
		Venn Diagrams
		Som e Formulae on the Cardinality of Sets
	Practice Questions
	Answer Keys
	Hints and Explanation