VOLUME - 1
1. A SQUARE
1. Introduction
2. Square of a Number and Square Numbers
3. Properties and Patterns of Some Square Numbers
4. Some Shortcuts to Find Squares
5. Square Roots
6. Relation Between the Digits of a Perfect Square and its Square Root
7. Square Roots of Perfect Squares by the Method of Long Division
8. Square Roots of Rational Numbers in the Form of Fractions
2. A CUBE
1. Introduction
2. Cubes
3. Perfect Cube Numbers
4. Finding the Cube of a Two-Digit Number by the Column Method
5. Cubes of Negative Integers
6. Cubes of Rational Numbers
7. Cube Roots
8. Cube Root of a Natural Number
9. Cube Root of a Negative Integral Perfect Cube
10. Cube Root of Product of Integers
11. Cube Root of a Rational Number
3. POWER PLAY
1. Introduction
2. Exponents
3. Laws of Exponents
4. Number of Combinations
5. Negative Integral Exponents
6. Powers of 10
7. Laws of Integral Exponents
8. Getting a Sense of Large Numbers
9. Use of Exponents in Expressing Large Numbers in Standard Form
10. Decimal Number System
11. Use of Exponents to Express Small Numbers in Standard Form
4. QUADRILATERALS
1. Introduction
2. Quadrilateral
3. Convex Quadrilateral
4. Interior Angle Sum Property of a Quadrilateral
5. Exterior Angle Property
6. Special types of quadrilaterals
7. Properties of a Parallelogram
8. Properties of a Rhombus
9. Properties of a Rectangle
10. Properties of a Square
11. Properties of a Trapezium
12. Properties of a Kite
13. Figures formed by joining triangles
5. NUMBER PLAY
1. Introduction
2. Parity of Expressions: a +- b +- c +- d
3. Divisibility
4. Generalised form of numbers
5. Interchanging the Digits of a Number
6. Tests of Divisibility
7. Digital Roots
8. Digits in Disguise
6. WE DISTRIBUTE, YET THINGS MULTIPLY.
(Algebraic Expressions and Identities)
1. Introduction
2. Multiplication of Algebraic Expressions
3. Multiplication of a Monomial and a Binomial
4. Multiplication of Two Binomials
5. Identities
6. Fast Multiplications Using the Distributivity
7. PROPORTIONAL REASONING - I
1. Introduction
2. Ratio
3. Proportion
8. PROPORTIONAL REASONING - II
1. Introduction
2. Variations
3. Types of Variations
4. Direct Variation
5. Inverse Variation
9. A SLICE OF THE PIE
1. Introduction
2. Pie diagrams or pie charts
3. Construction of pie diagrams
4. Reading of pie charts
