NCERT Solutions for Class 7 Mathematics provide step-by-step answers for the Maths book titled Ganita Prakash. The book is divided into two parts. Part 1 focuses on integers, arithmetic expressions, lines, and fractions. Part 2 further expands on the basic concepts of geometry, and the number system.
Many students who struggle with Mathematics need regular practice, and these solutions provided by Shiksha Nation are a great tool for improving accuracy and speed. Every exercise and question is thoroughly covered and explained in depth, making Mathematics less confusing. These solutions also help students practice different types of questions and build confidence for better performance in tests and examinations.
NCERT Solutions for Class 7 Maths Latest Chapter wise 2026 27
Ganita Prakash Part - 1
| S.No. | Chapter Name & Topic |
| 1 | Chapter 1 - Large Numbers Around Us |
| 2 | Chapter 2 - Arithmetic Expressions |
| 3 | Chapter 3 - A Peek Beyond the Point |
| 4 | Chapter 4 - Expressions Using Letter-Numbers |
| 5 | Chapter 5 - Parallel and Intersecting Lines |
| 6 | Chapter 6 - Number Play |
| 7 | Chapter 7 - A Tale of Three Intersecting Lines |
| 8 | Chapter 8 - Working with Fractions |
Ganita Prakash Part - 2
| S.No. | Chapter Name & Topic |
| 1 | Chapter 1 - Geometric Twins |
| 2 | Chapter 2 - Operations with Integers |
| 3 | Chapter 3 - Finding Common Ground |
| 4 | Chapter 4 - Another Peek Beyond the Point |
| 5 | Chapter 5 - Connecting the Dots |
| 6 | Chapter 6 - Construction and Tilings |
| 7 | Chapter 7 - Finding the Unknown |
Chapter-wise NCERT Solutions for Class 7 Mathematics Overview
Ganita Prakash-I
Chapter 1 - Large Numbers Around Us
The first chapter helps students understand large numbers used in everyday life, such as populations, distances, money, and statistics. Students learn to read, write, compare, and arrange large numbers in both the Indian and International systems. The chapter introduces place value and expanded form for large numbers. It also teaches estimation, rounding-off techniques, and the use of large numbers.
Chapter 2 - Arithmetic Expressions
This chapter introduces arithmetic expressions made using numbers, variables, and mathematical operations. Students learn the use of brackets and the order of operations through the BODMAS rule. It shows how different expressions can have the same value and how grouping can change the answer. Students practice simplifying and evaluating expressions step by step. The chapter helps build accuracy in using mathematical operations.
Chapter 3 - A Peek Beyond the Point
This chapter explores numbers after whole numbers such as fractions and decimals on the number line. Students learn how numbers are represented between known values and understand that there are infinitely many numbers between any two points. The chapter helps students understand the continuous nature of numbers and improves their understanding of fractions and decimals. It builds the foundation for rational numbers and more advanced number systems in higher classes.
Chapter 4 - Expressions using Letter-Numbers
Chapter 4 introduces algebraic thinking through the use of letters to represent numbers and unknown digits. Students learn how variables are used in mathematical expressions and how patterns can be written using symbols. Students practice writing and interpreting simple expressions and evaluating them by substituting values. The chapter also builds the foundation of algebra by helping students understand the relationships between numbers using letters.
Chapter 5 - Parallel and Intersecting Lines
Chapter 5 discusses lines and angles. Students learn to identify parallel, intersecting, and perpendicular lines. The chapter also explains angles formed when lines intersect, including adjacent angles and vertically opposite angles. Students study how these angle relationships are used to compare angles. The chapter builds a strong foundation in basic geometry and prepares students for advanced concepts in higher classes. It helps students improve their understanding of shapes.
Chapter 6 - Number Play
In this chapter, students learn about divisibility, factors, multiples, and number patterns. It develops logical reasoning and problem-solving skills by helping students understand how numbers are connected through different rules and relationships. The chapter also builds understanding of how number properties can be used to solve problems in a simple and systematic way. It encourages curiosity and mathematical thinking by showing how patterns in numbers appear in everyday mathematics.
Chapter 7 - A Tale of Three Intersecting Lines
Chapter 7 discusses geometric relationships when lines intersect. Students learn about angles formed at a point when multiple lines meet and discuss their features. The chapter explains important angle relationships such as adjacent angles and vertically opposite angles, and shows how vertically opposite angles are always equal. Students also study how different angle pairs are formed when lines intersect and how these relationships can be used for unknown angles. The chapter improves logical thinking and analytical skills which are important for more advanced geometry in higher classes.
Chapter 8 - Working with Fractions
This chapter helps students understand fractions and their applications in detail. Students learn about equivalent fractions, simplifying fractions, and comparing fractions using common methods. The chapter also introduces arithmetic operations on fractions, including addition, subtraction, multiplication, and basic division. Students also learn how fractions can be represented and understood visually, helping them build stronger conceptual clarity. The chapter develops confidence in performing calculations with fractions and helps in setting up the base for higher mathematics.
Ganita Prakash-II
Chapter 1 - Geometric Twins
Part 2 begins with the concept of congruence and identical shapes. Students learn that shapes can have the same size and shape even when their position or orientation changes. The chapter explores congruent triangles and the conditions used to determine congruence, such as SS (Side–Side–Side), SAS (Side–Angle–Side), and ASA (Angle–Side–Angle). It teaches how to compare shapes using logical reasoning and geometric properties.
Chapter 2 - Operations with Integers
This chapter introduces operations involving positive and negative integers. Students learn how integers are represented on the number line and how to perform addition, subtraction, multiplication, and division of integers. The chapter explains the rules for operations with signed numbers and helps students understand how different signs affect results. It sets up the foundation for algebra and advanced arithmetic.
Chapter 3 - Finding Common Ground
Chapter 3 discusses factors, multiples, and common numerical relationships. Students learn to find common factors and common multiples and understand the concepts of HCF (Highest Common Factor) and LCM (Least Common Multiple). The chapter explains how these ideas help in solving real-life problems. It also improves logical thinking and improves your calculation skills.
Chapter 4 - Another Peek Beyond the Point
This chapter further explores numbers on the number line through rational numbers. Students learn how to represent rational numbers accurately and understand that there are infinitely many numbers between any two given numbers. The chapter helps students compare, order, and find rational numbers on the number line. This chapter builds a strong foundation for advanced number systems and algebra.
Chapter 5 - Connecting the Dots...
Chapter 5 focuses on understanding and interpreting data in an organized way. Students learn how to organize data and show it using dot plots and bar graphs. The chapter also introduces mean (average) and median. Students practice reading and understanding graphs, finding patterns, and comparing data. The chapter connects mathematics with real-life situations in an easy way. Students gain confidence in working with different types of data.
Chapter 6 - Constructions and Tilings
This chapter focuses on geometric constructions. Students learn how to construct geometric figures accurately. The chapter includes constructions such as perpendicular bisectors, angle bisectors, construction of 90° angles, parallel lines, and basic triangle constructions. The chapter also introduces tiling patterns and their mathematical properties. The chapter helps students to develop better visualization skills.
Chapter 7 - Finding the Unknown
This chapter develops algebraic thinking by introducing the concept of finding the unknown. Students learn how to represent unknown numbers using variables and form simple algebraic expressions. The chapter focuses on forming and solving linear equations in one variable using the idea of balance between both sides of an equation. The chapter also includes solving word problems involving unknown values and checking solutions by substituting them back into the equation. The chapter provides a strong foundation for future algebra studies.
