1: Rational Numbers
This chapter introduces rational numbers, their properties, representation on a number line, and operations like addition, subtraction, multiplication, and division.
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Introduction to Rational Numbers : English -
Properties of Rational Numbers (Closure, Commutativity, Associativity) : English
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Role of Zero and One : Hindi
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Negative of a Number and Reciprocal : Hindi
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Performing operations (addition, subtraction, multiplication, division) with rational numbers.
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Not startedRepresenting rational numbers on the number line.
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Not started2: Linear Equations in One Variable
This chapter deals with solving linear equations involving a single variable, including equations with expressions on both sides and those reducible to simpler forms.
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What is a Linear Equation in One Variable? : English
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Solving Equations Having Linear Expressions on One Side : English
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Solving Equations Having Variables on Both Sides : Hindi
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Reducing Equations to Simpler Form : Hindi
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Solving basic linear equations.
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Not startedFormulating and solving word problems using linear equations.
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Not started3: Understanding Quadrilaterals
This chapter introduces different types of quadrilaterals and their properties, including angle sum property, parallelograms, rhombuses, rectangles, squares, and trapeziums.
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Polygons (Classification and Angle Sum Property) : English
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Sum of the Measures of the Exterior Angles of a Polygon : English
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Types of Quadrilaterals (Trapezium, Kite, Parallelogram) : Hindi
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Properties of a Parallelogram : Hindi
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Calculating unknown angles in polygons.
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Not startedApplying properties of parallelograms to solve problems.
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Not started4: Practical Geometry
This chapter focuses on the practical construction of different types of quadrilaterals when various combinations of sides and angles are given.
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Constructing a Quadrilateral When Four Sides and One Diagonal are Given : English
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Constructing a Quadrilateral When Two Diagonals and Three Sides are Given : English
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Constructing a Quadrilateral When Two Adjacent Sides and Three Angles are Given : Hindi
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Constructing a Quadrilateral When Three Sides and Two Included Angles are Given : Hindi
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Constructing various quadrilaterals using given measurements.
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Not startedApplying construction techniques to real-world problems.
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Not started5: Data Handling
This chapter covers various methods of organizing and representing data, including frequency distribution, bar graphs, histograms, and pie charts, and introduces the concept of probability.
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Looking for Information (Raw Data, Grouped Data) : English
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Organising Data (Frequency Distribution Table) : English
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Grouping Data (Class Intervals, Upper and Lower Limits) : Hindi
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Bars with a Difference (Histogram) : Hindi
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Constructing bar graphs and histograms from given data.
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Not startedCalculating probability for simple events.
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Not started6: Squares and Square Roots
This chapter introduces perfect squares, properties of square numbers, methods to find square roots (prime factorization, division method), and squares of rational numbers.
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Introduction to Square Numbers : English
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Properties of Square Numbers (Ending Digits, Number of Zeros) : English
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Finding the Square of a Number : Hindi
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Pythagorean Triplets : Hindi
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Finding square roots of numbers using prime factorization.
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Not startedSolving problems involving perfect squares.
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Not started7: Cubes and Cube Roots
This chapter introduces perfect cubes, properties of cube numbers, and methods to find cube roots, primarily through prime factorization.
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Introduction to Cubes : English
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Properties of Cube Numbers : English
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Cube Roots (Finding Cube Root Through Prime Factorisation Method) : Hindi
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Cube Root of a Perfect Cube By Estimation : Hindi
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Identifying perfect cubes.
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Not startedFinding cube roots of numbers.
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Not started8: Comparing Quantities
This chapter deals with comparing quantities using ratios, percentages, profit and loss, discount, and compound interest, including real-life applications.
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Ratios and Percentages (Recalling Ratios and Fractions) : English
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Increase or Decrease Percent : English
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Prices Related to Buying and Selling (Profit and Loss) : Hindi
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Sales Tax/Value Added Tax/Goods and Services Tax : Hindi
Up next for you:
Calculating profit, loss, and discount percentages.
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Not startedSolving problems involving simple and compound interest.
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Not started9: Algebraic Expressions and Identities
This chapter covers algebraic expressions, operations on them (addition, subtraction, multiplication), and important algebraic identities like (a+b)², (a-b)², and (a+b)(a-b).
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Expressions (Terms, Factors, Coefficients) : English
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Monomials, Binomials, Polynomials : English
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Addition and Subtraction of Algebraic Expressions : Hindi
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Multiplication of Algebraic Expressions (Monomial by Monomial) : Hindi
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Performing operations on algebraic expressions.
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Not startedUsing algebraic identities to simplify expressions and solve problems.
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Not started10: Visualising Solid Shapes
This chapter introduces different 3D shapes, how to visualize them from different perspectives, and the concept of polyhedrons, including Euler's formula.
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Introduction to 3D Shapes (2D vs 3D) : English
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Views of 3D-Shapes (Front, Side, Top View) : English
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Mapping Space Around Us : Hindi
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Faces, Edges and Vertices (Polyhedrons) : Hindi
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Identifying different views of 3D objects.
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Not startedApplying Euler's formula to solve problems related to polyhedrons.
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Not startedTextbook Solutions
11: Mensuration
This chapter covers finding the area of various plane figures (trapezium, rhombus) and the surface area and volume of 3D shapes (cuboid, cube, cylinder).
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Introduction to Mensuration (Area of Trapezium) : English
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Area of a Rhombus : English
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Area of a General Quadrilateral : Hindi
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Area of a Polygon : Hindi
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Calculating the area of various 2D shapes.
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Not startedFinding surface area and volume of cubes, cuboids, and cylinders.
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Not startedTextbook Solutions
12: Exponents and Powers
This chapter introduces exponents with negative powers, laws of exponents, and expressing very large or very small numbers in standard form.
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Powers with Negative Exponents : English
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Laws of Exponents (Recap) : English
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Using Laws of Exponents to Simplify Expressions : Hindi
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Standard Form (Scientific Notation) : Hindi
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Applying laws of exponents to simplify numerical expressions.
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Not startedConverting numbers to standard form and vice versa.
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13: Direct and Inverse Proportions
This chapter introduces the concepts of direct and inverse proportion and applies them to solve various real-life problems.
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Introduction to Direct Proportion : English
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Solving Problems Involving Direct Proportion : English
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Introduction to Inverse Proportion : Hindi
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Solving Problems Involving Inverse Proportion : Hindi
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Identifying direct and inverse proportion in real-life scenarios.
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Not startedApplying proportionality concepts to solve problems.
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14: Factorisation
This chapter introduces the concept of factorization of algebraic expressions using common factors, regrouping terms, and algebraic identities.
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What is Factorisation? : English
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Factorisation by Common Factors : English
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Factorisation by Regrouping Terms : Hindi
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Factorisation Using Identities : Hindi
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Factorizing expressions using common factors and identities.
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Not startedDividing algebraic expressions.
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Not startedTextbook Solutions
15: Introduction to Graphs
This chapter introduces different types of graphs like bar graphs, pie charts, histograms, and line graphs, and focuses on drawing and interpreting linear graphs.
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Bar Graphs : English
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Pie Charts : English
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Histograms : Hindi
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Line Graphs (Linear Graphs, Coordinates) : Hindi
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Interpreting information from various types of graphs.
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Not startedDrawing linear graphs for given data.
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Not startedTextbook Solutions
16: Playing with Numbers
This chapter explores numbers in their generalized form, divisibility rules, and number puzzles, encouraging a deeper understanding of number properties.
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Numbers in Generalised Form : English
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Games with Numbers (Reversing the Digits of a Two-Digit Number) : English
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Letters for Digits (Puzzles) : Hindi
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Tests of Divisibility (Divisibility by 10, 5, 2) : Hindi
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Solving number puzzles and cryptarithms.
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Not startedApplying various divisibility rules.
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