Page 12 - ICSE Math 7

Detailed Contents

S. No. Chapter Contents

1. Integers Integers, Representation of Integers on a Number Line, Comparison of Integers,
Fundamental Operations on Integers, Simplification of an Expression, Word
Problems
2. Fractions Fractions, Classification of Fractions, Reducing a Fraction to Its Simplest Form,
Like and Unlike Fractions, Comparison of Fractions, Inserting a Fraction between
Two Fractions, Fundamental Operations on Fractions, Reciprocal of a Fraction,
Fraction as an Operator, Continued Fraction, Simplification of Complex Fractions,
Simplification of an Expression, Word Problems
3. Decimals Decimal Fractions, Conversion of Fractions into Decimals, Conversion of
Decimals into Fractions, Comparison of Decimals, Fundamental Operations on
Decimals, Terminating and Non-Terminating Decimals, Approximation

4. Rational Numbers Rational Numbers, Absolute Value of a Rational Number, Equivalent Rational
Numbers, Representation of Rational Numbers on a Number Line, Standard Form
of Rational Numbers, Comparison of Rational Numbers, Addition and Subtraction
of Rational Numbers, Multiplication and Division of Rational Numbers, Decimal
Representation of Rational Numbers
5. Exponents and Powers Exponents, Laws of Exponents, Scientific Notation of Numbers, Application of Laws
of Exponents
6. Set Theory Set, Notation and Representation of Sets, Types of Sets, Cardinal Number, Subsets,
Universal Set, Operations on Sets, Cardinal Properties of Sets

7. Ratio, Proportion and Unitary Ratio, Comparison of Ratios, Compound Ratio and Continued Ratio, Increase
Method or Decrease in a Given Ratio, To Divide a Given Quantity in a Given Ratio,
Proportion, Continued Proportion, Unitary Method, Variation, Time and Work
8. Percentage Percentage, Expressing Smaller Units as Percentage of Larger Units, Expressing
One Quantity as a Percentage of the Other, Finding Percentage of a Given
Quantity, Finding the Number from a Given Percentage of the Number, Increase
or Decrease in Percentage
9. Profit and Loss Cost Price and Selling Price, Overhead Expenses, Profit and Loss, Profit and Loss
per cent, Marked Price and Discount

10. Simple Interest Simple Interest
11. Speed, Distance and Time Speed and Units of Speed, Conversion of Units of Speed, Average Speed, Relative
Speed
12. Algebraic Expressions Constants, Variables and Terms, Algebraic Expressions, Addition, Subtraction,
Multiplication and Division of Algebraic Expressions, Value of an Algebraic
Expression
13. Linear Equations in One Equation, Solution of a Linear Equation, Trial and Error Method, Rules for Solving
Variable an Equation, Transposing a Term of an Equation, Applications of Linear Equations
14. Linear Inequations Inequation, Replacement and Solution Sets, Method of Solving Inequations,
Graphical Representation of Solution Set
15. Lines and Angles Point, Line, Line Segment, Ray and Plane, Parallel Lines, Intersecting Lines,
Perpendicular Lines and Concurrent Lines, Angle, Types of Angles