| Additional Questions for each Class with Solution | ||||||
|---|---|---|---|---|---|---|
| 6th | 7th | 8th | 9th | 10th | 11th | 12th |
Class 8th Mathematics Additional Questions
Chapter 1 Rational Numbers
Students study rational numbers, their properties, and operations (addition, subtraction, multiplication, and division). This chapter also covers representation of rational numbers on a number line.
Chapter 2 Linear Equations in One Variable
This chapter introduces linear equations in one variable and their solutions. Students learn to solve equations through various methods like balancing and using properties of equality.
Chapter 3 Understanding Quadrilaterals
Students explore the properties of different types of quadrilaterals (parallelograms, rectangles, squares, rhombuses, trapeziums, and kites). They learn about their angles, sides, and diagonals.
Chapter 4 Practical Geometry
This chapter covers the construction of various geometrical shapes, including angles, triangles, and quadrilaterals, using tools like a compass, ruler, and protractor.
Chapter 5 Data Handling
The focus is on collecting, organizing, and representing data. Students learn about frequency distributions, histograms, and pie charts. They also calculate mean, median, and mode.
Chapter 6 Squares and Square Roots
Students learn about squares and square roots of numbers. This chapter includes properties and methods of finding square roots, such as prime factorization and long division.
Chapter 7 Cubes and Cube Roots
This chapter covers cubes and cube roots, including the methods of calculating cube roots and properties of cubes. Students also learn to simplify cube root expressions.
Chapter 8 Comparing Quantities
Topics include ratios, percentages, profit and loss, and discounts. Students practice problems on finding percentage increase/decrease, calculating profit and loss, and using ratios in real-life scenarios.
Chapter 9 Algebraic Expressions and Identities
This chapter introduces algebraic expressions, their evaluation, and operations like addition, subtraction, and multiplication. Students also learn the basic algebraic identities and their applications.
Chapter 10 Visualising Solid Shapes
Students study 3D shapes and their properties, including volume and surface area. They explore different solids like cubes, cylinders, spheres, and cones, and learn to visualize them from different angles.
Chapter 11 Mensuration
This chapter focuses on calculating areas and volumes of various 2D and 3D shapes. Students learn formulas to find the area of triangles, circles, and other polygons, and the volume of cubes, cuboids, and cylinders.
Chapter 12 Exponents and Powers
The chapter covers laws of exponents, simplification of expressions involving powers, and solving problems related to powers of numbers.
Chapter 13 Direct and Inverse Proportions
Students explore the concept of direct and inverse proportions and learn to solve problems where one quantity varies directly or inversely with another.
Chapter 14 Factorisation
This chapter introduces the process of factorizing algebraic expressions, including using common factors, factorization by grouping, and applying algebraic identities.
Chapter 15 Introduction to Graphs
Students learn about plotting points on a coordinate plane, understanding linear graphs, and interpreting data from graphs. This chapter lays the foundation for graphing equations in higher classes.
Chapter 16 Playing with Numbers
A fun chapter that involves different number patterns, properties, and tricks to manipulate numbers for solving problems more efficiently.