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Additional Questions for each Class with Solution
6th 7th 8th 9th 10th 11th 12th

Class 7th Chapters
1. Integers 2. Fractions and Decimals 3. Data Handling
4. Simple Equations 5. Lines and Angles 6. The Triangle and its Properties
7. Congruence of Triangles 8. Comparing Quantities 9. Rational Numbers
10. Practical Geometry 11. Perimeter and Area 12. Algebraic Expressions
13. Exponents and Powers 14. Symmetry 15. Visualising Solid Shapes

Class 7th Mathematics Additional Questions

Chapter 1 Integers

This chapter deals with the properties of integers, including addition, subtraction, multiplication, and division of both positive and negative numbers. It also covers real-life applications of integers.

Chapter 2 Fractions and Decimals

Students learn to represent and simplify fractions and decimals. The chapter includes addition, subtraction, multiplication, and division of fractions and decimals, along with converting between them.

Chapter 3 Data Handling

This chapter focuses on collecting, organizing, and representing data using bar graphs, histograms, pie charts, and frequency tables. It also introduces the concept of mean, median, and mode.

Chapter 4 Simple Equations

The chapter covers solving simple algebraic equations involving variables, such as linear equations. Students learn to apply equations to real-life problems.

Chapter 5 Lines and Angles

Students explore the properties of lines, angles, and their relationships. This includes concepts like types of angles, complementary and supplementary angles, and the properties of parallel lines.

Chapter 6 The Triangle and its Properties

This chapter introduces different types of triangles (equilateral, isosceles, and scalene) and explores their properties, including the sum of angles in a triangle and the Pythagorean theorem.

Chapter 7 Congruence of Triangles

Students learn the concept of congruent triangles, criteria for triangle congruence (SSS, SAS, ASA, RHS), and how to apply these properties in solving geometrical problems.

Chapter 8 Comparing Quantities

This chapter focuses on concepts like ratios, percentages, profit and loss, and discounts. Students learn how to solve problems involving comparing different quantities using these concepts.

Chapter 9 Rational Numbers

Students study rational numbers and their properties, including operations (addition, subtraction, multiplication, and division) with rational numbers and their application in real-world scenarios.

Chapter 10 Practical Geometry

This chapter introduces the concept of construction in geometry, including drawing geometric shapes with the help of tools like a compass, ruler, and protractor.

Chapter 11 Perimeter and Area

Students explore how to calculate the perimeter and area of various 2D shapes like squares, rectangles, and triangles. The chapter also includes real-life applications of these concepts.

Chapter 12 Algebraic Expressions

The chapter deals with algebraic expressions, including their evaluation, addition, subtraction, and factorization. Students learn to simplify algebraic expressions and solve problems involving them.

Chapter 13 Exponents and Powers

This chapter introduces powers, exponents, and laws of exponents. Students learn to simplify expressions involving exponents and solve problems with powers of numbers.

Chapter 14 Symmetry

Students explore symmetry, including lines of symmetry in various shapes, mirror images, and rotational symmetry.

Chapter 15 Visualising Solid Shapes

This chapter focuses on 3D shapes and their properties. Students learn to visualize and identify 3D objects such as cubes, spheres, cones, and cylinders, along with their surface area and volume.

These chapters aim to enhance mathematical understanding and problem-solving skills for Class 7 students.