Pearson IIT Foundation Series - Mathematics Class 7

Cover
Half Title
Title Page
Copyright
Brief Contents
Contents
Preface
Chapter Insights
Series Chapter Flow
Chapter 1: Number Systems
	Remember
	Key Ideas
	Introduction
		Natural Numbers
		Whole Numbers
		Integers
			Representation of Integers on the Number Line
		Additive Inverse
			Properties of Integers under Addition
		Multiplication of Integers
			Properties of Integers under Multiplication
		Division of Integers
		Fractions
			Comparison of Fractions
			Addition of Fractions
			Multiplication of Fractions
			Division of Fractions
		Decimal Numbers
			Comparison of decimal numbers
			Addition of decimals
			Multiplication of Decimal Numbers
			Division of Decimal Numbers
		Rational Numbers
			Equivalent Rational Numbers
			Standard form of a Rational Number
			Representation of a Rational Number on the Number Line
			Comparison of Rational Numbers
			Inserting Rational Numbers Between Two Given Rational Numbers
			Addition of Rational Numbers
			Multiplication of Rational Numbers
			Division of Rational Numbers
		Decimal Representation of Rational Numbers
			Repeating Decimal
			Conversion of a Decimal Number into a Fraction
		Irrational Numbers
		Square Roots
		Properties of Square Roots
	Practice Questions
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Questions
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
	Answer Keys
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Questions
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
	Hints and Explanation
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
Chapter 2: Expressions and Special Products
	Remember
	Key Ideas
	Introduction
		Constant
		Variable
		Algebraic Expression
		Polynomial
			Types of Polynomials with Respect to Degree
			Types of Polynomials with Respect to Number of Terms
		Factorisation
		Division of a Polynomial by a Monomial
		Division of a Polynomial by a Polynomial
			Long Division Method
		The HCF of the Given Polynomials
			Method for Finding the HCF of the Given Polynomials
		Algebraic Expressions—Formulae
		Algebraic Expressions–Rules
		Points to Remember
		Important Formulae
	Practice Questions
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Questions
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
	Answer Keys
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Questions
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
	Hints and Explanation
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
Chapter 3: Ratio and Its Applications
	Remember
	Key Ideas
	Introduction
		Terms of a Ratio
		Properties of a Ratio
		Simplest Form of a Ratio
		Comparison of Ratios
		Proportion
			Continued Proportion
		Variation
			Types of Variation
		Percentage
			Problems Based on Basic Concepts
			Percentage—A Relative Value
			Comparison of Percentages
			Percentage Points
			Profit and Loss
			Simple Interest
			Time and Work
			Time and Distance
		Points to Remember
		Formulae
	Practice Questions
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Questions
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
	Answer Keys
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Questions
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
	Hints and Explanation
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
Chapter 4: Indices
	Remember
	Key Ideas
	Introduction
		Laws of Indices
		Exponential Equation
			Standard Form of a Number
		Points to Remember
	Practice Questions
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Questions
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
	Answer Keys
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Questions
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
	Hints and Explanation
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
Chapter 5: Geometry
	Remember
	Key Ideas
	Introduction
		Properties of Parallel Lines
		Triangle
			Types of Triangles
		Congruence
			Congruence of Triangles
			Concurrent Lines in Triangles
		Quadrilaterals
			Different Types of Quadrilaterals
		Construction of Quadrilaterals
		Polygons
			Convex Polygon and Concave Polygon
			Some Important Results on Polygons
		Circle
		Points to Remember
	Practice Questions
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Questions
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
	Answer Keys
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Questions
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test—2
	Hints and Explanation
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
Chapter 6: Mensuration
	Remember
	Key Ideas
	Introduction
		Plane Figures
			Units of Measurement
			Estimating Areas
		Area of a Rectangle
		Area of a Parallelogram
		Area of a Triangle
		Area of a Trapezium
		Area of a Rhombus
		Area of a Square
		Area of an Equilateral Triangle
		Area of a Right-angled Triangle
		Isosceles Right Triangle
		Circumference of a Circle
		Area of a Ring
			Sector of a circle
		Solids
		Cubes and Cuboids
			Cuboid
			Cube
		Points to Remember
	Practice Questions
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Questions
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
	Answer Keys
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Questions
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
	Hints and Explanation
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
Chapter 7: Equations and their Applications
	Remember
	Key Ideas
	Introduction
		Numbers and Symbols
		Numerical Expressions
		Algebraic Expression
		Mathematical Sentence
		Mathematical Statement
		Open Sentences
		Equation
		Linear Equation
		Simple Equation
			Properties of Equality
			Solving an Equation in One Variable
			Word Problems and Application of Simple Equations
			Inequalities
			Notation
			Definition
			Inequation
			Continued Inequation
			Linear Inequation
			Solving Inequations
		Points to Remember
	Practice Questions
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Questions
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
	Answer Keys
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Question
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
	Hints and Explanation
		Concept Application
			Level 1
			Level 2
			Level 3
Chapter 8: Formulae
	Remember
	Key Ideas
	Introduction
		Subject of a Formula
			Change of Subject
			Evaluation of the Subject of a Formula
			Characteristics of Subject in a Formula
		Framing a Formula
		Points to Remember
	Practice Questions
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Questions
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
	Answer Keys
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Questions
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
	Hints and Explanation
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
Chapter 9: Statistics
	Remember
	Key Ideas
	Introduction
		Data
			Some Basic Definitions
			Tabulation or Presentation of Data
		Statistical Graphs
		Arithmetic Mean or Mean (AM)
			Arithmetic Mean for Raw Data
			Mean of Discrete Series
		Median
		Mode
		Chance and Probability
		Probability
			Event
		Points to Remember
		Formulae
	Practice Questions
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Questions
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
	Answer Keys
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Questions
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
	Hints and Explanation
		Concept Application
			Level 1
			Level 2
			Level 3
Chapter 10: Set Theory
	Remember
	Key Ideas
	Introduction
		Set
			Elements of a Set
			Cardinal Number of a Set
			Representation of Sets
			Some Simple Definitions of Sets
		Operations on Sets
		Venn Diagrams
			Some Formulae on the Cardinality of Sets
		Points to Remember
	Practice Questions
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Questions
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Test
			Test 1
			Test 2
	Answer Keys
		Test Your Concepts
			Very Short Answer Type Questions
			Short Answer Type Questions
			Essay Type Questions
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
	Hints and Explanation
		Concept Application
			Level 1
			Level 2
			Level 3
		Assessment Tests
			Test 1
			Test 2
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