| Latest Mathematics NCERT Book Solutions | ||||||
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Latest Class 7 Mathematics NCERT Solutions
Chapter 1 – Integers
Integers introduce students to the concept of numbers that extend beyond just positive counting numbers. In this chapter, you will explore negative numbers, zero, and positive numbers, and understand their positions on the number line. You will learn how to perform operations such as addition, subtraction, multiplication, and division on integers following specific rules of signs. Real-life applications like temperature change, bank transactions, and elevation levels make the concept meaningful and practical.
Chapter 2 – Fractions and Decimals
This chapter helps you strengthen your understanding of Fractions and Decimals, two key representations of non-whole numbers. You will learn how to compare, add, subtract, multiply, and divide fractions and decimals. The chapter explains equivalent fractions, conversion between fractions and decimals, and their use in real-life scenarios like money handling, measurements, and ratios. These skills build a strong foundation for higher arithmetic and algebraic operations.
Chapter 3 – Data Handling
Data surrounds us everywhere. In this chapter, you will learn how to collect, organize, and present data in various forms like tables, bar graphs, double bar graphs, and pie charts. You will also explore measures of central tendency such as mean, median, and mode to analyze and interpret information. Through practical examples involving surveys and daily-life statistics, this chapter encourages analytical thinking and introduces the basics of statistics and data science.
Chapter 4 – Simple Equations
Simple Equations form the heart of algebra. You will learn how to express word problems in mathematical form using variables and constants. The chapter explains how to isolate variables and solve for unknown quantities. You will also apply these concepts to real-world problems such as age, distance, and number relations. By mastering simple equations, students develop logical reasoning and step-by-step problem-solving skills essential for higher mathematics.
Chapter 5 – Lines and Angles
Geometry begins with understanding lines and angles. In this chapter, you will identify different types of lines such as intersecting, parallel, and perpendicular lines. You will also explore the classification of angles — acute, right, obtuse, straight, and reflex. Concepts like complementary and supplementary angles, and vertically opposite angles are explained with the help of diagrams. These ideas lay the groundwork for advanced geometric understanding and real-life applications like architecture and design.
Chapter 6 – The Triangle and Its Properties
Triangles are the most fundamental shapes in geometry. This chapter introduces types of triangles based on sides and angles — such as scalene, isosceles, equilateral, acute, right, and obtuse triangles. You will learn the angle sum property, exterior angle property, and concepts of altitude, median, and orthocentre. The chapter also connects triangles to real-life structures like bridges and roofs, helping you visualize geometry in everyday surroundings.
Chapter 7 – Comparing Quantities
Comparison is an integral part of everyday life. In this chapter, you will understand the use of ratios, proportions, and percentages to compare quantities. It introduces you to important concepts like profit and loss, discount, simple interest, and percentage increase or decrease. By learning how to calculate these values, you will be able to solve practical financial problems such as shopping discounts, bank interests, and salary computations.
Chapter 8 – Rational Numbers
This chapter extends your number knowledge by introducing Rational Numbers — numbers that can be expressed as a fraction p/q where q ≠ 0. You will learn about positive and negative rational numbers, their representation on a number line, and operations such as addition, subtraction, multiplication, and division. The chapter strengthens your understanding of numerical systems and connects earlier concepts of integers and fractions.
Chapter 9 – Perimeter and Area
Learn to calculate the perimeter and area of various shapes — rectangles, squares, triangles, parallelograms, and circles. This chapter teaches you how to apply geometric formulas to real-world problems like finding the boundary length or painting a surface. You’ll also understand the importance of units of measurement and conversions. Through practical examples, you will see how mathematics connects directly to engineering, design, and daily life.
Chapter 10 – Algebraic Expressions
Algebraic Expressions combine numbers and letters to represent mathematical relationships. In this chapter, you will explore terms, coefficients, constants, and variables. You will learn how to perform addition, subtraction, multiplication, and factorization of algebraic expressions. Understanding these operations helps in simplifying complex mathematical models and prepares you for advanced algebra and equations in higher classes.
Chapter 11 – Exponents and Powers
This chapter focuses on Exponents — a powerful way to represent very large and very small numbers compactly. You will study the laws of exponents and learn how to apply them to simplify expressions. Concepts like standard form, powers of 10, and scientific notation are introduced. Exponents make complex calculations easier and are widely used in physics, computer science, and scientific calculations.
Chapter 12 – Symmetry
Symmetry explores the harmony and balance in shapes and figures. You will learn about line symmetry and rotational symmetry through engaging examples from nature, art, and architecture. This chapter connects geometry to creativity, helping you recognize mathematical beauty in patterns, mandalas, snowflakes, and designs. Understanding symmetry also strengthens visual reasoning and spatial intelligence.
Chapter 13 – Visualising Solid Shapes
This chapter develops your ability to visualize three-dimensional shapes and their two-dimensional representations. You will explore nets of solid figures like cubes, cuboids, cylinders, cones, and spheres. It also explains top view, front view, and side view concepts used in engineering drawing and architecture. This chapter enhances spatial understanding and prepares you for advanced geometric concepts in higher classes.