NCERT Solutions for Class 7 Maths Ganita Prakash Part 1 & 2 (2025-26)

Ganita Prakash I

Chapter 1: Large Numbers Around Us

Chapter 1 of the NCERT textbook deals with large numbers that are commonly used in daily life. Students have already learnt about numbers, place value, and basic comparison in earlier classes. In this chapter, they will extend this knowledge to read, write, compare, and estimate large numbers accurately.

The chapter explains how large numbers appear in real-life situations such as population counts, distances, and financial data. Students also learn the importance of place value while writing numbers in expanded and standard forms. Estimation techniques are introduced to help students make reasonable guesses while solving practical problems. Through examples and exercises, the chapter helps students develop confidence in handling large numbers and understanding their significance in everyday calculations.

Chapter 2: Arithmetic Expressions

Chapter 2 deals with arithmetic expressions formed using numbers and mathematical operations. Students have learnt basic operations like addition, subtraction, multiplication, and division in earlier classes. In this chapter, they learn how to form and simplify arithmetic expressions by following the correct order of operations.

The chapter introduces expressions with brackets and explains how brackets affect calculations. Students practise simplifying expressions step by step to avoid common mistakes. Through worked examples and exercises, the chapter helps students improve accuracy and logical thinking. Understanding arithmetic expressions prepares students for solving more complex numerical problems in higher classes.

Chapter 3: A Peek Beyond the Point

This chapter deals with decimal numbers and their use in everyday life. Students have already been introduced to decimals in earlier classes. In this chapter, they learn how to read, write, compare, and order decimal numbers correctly.

The chapter explains the place value system of decimals and their relation to fractions. Simple operations on decimals are discussed using practical examples related to money, length, and weight. Students practise identifying decimal values and performing calculations with accuracy. This chapter strengthens students’ understanding of decimals and prepares them for advanced operations in later chapters.

Chapter 4: Expressions Using Letter-Numbers

Chapter 4 introduces students to expressions using letters and numbers, marking their first step into algebra. Students learn how letters can represent unknown values or variables. The chapter explains the meaning of variables, constants, and algebraic expressions using simple examples.

Students practise forming expressions from given situations and evaluating them by substituting values. This chapter helps students understand how mathematics can represent real-life problems symbolically. By working through examples and exercises, students develop confidence in using letter-number expressions, which forms a strong foundation for algebra in higher classes.

Chapter 5: Parallel and Intersecting Lines

This chapter deals with parallel and intersecting lines and the angles formed by them. Students learn to identify different types of lines and understand how they behave when they cross each other. The chapter explains parallel lines, intersecting lines, and transversals using diagrams. 

Various angle types formed at intersections are introduced to improve visual understanding. Real-life examples such as roads, railway tracks, and building structures help students relate concepts to their surroundings. This chapter builds a strong base for understanding geometry and prepares students for learning about angles and shapes in greater detail.

Chapter 6: Number Play

Chapter 6 focuses on number patterns and relationships. Students explore numbers through activities that encourage observation, reasoning, and logical thinking. The chapter introduces patterns found in sequences of numbers and simple rules used to generate them. 

Through puzzles and examples, students learn how to identify patterns and predict missing numbers. This chapter helps develop problem-solving skills and curiosity towards mathematics. By engaging with number-based activities, students improve their ability to think logically and approach mathematical problems with confidence.

Chapter 7: A Tale of Three Intersecting Lines

This chapter deals with angles formed by intersecting lines. Students learn how multiple lines intersect and the different angle relationships formed as a result. The chapter explains concepts such as vertically opposite angles and related angle properties using clear diagrams.

Through examples and exercises, students understand how to identify and measure angles accurately. The visual nature of this chapter helps students strengthen spatial reasoning skills. This chapter plays an important role in building a solid understanding of geometry concepts related to angles.

Chapter 8: Working with Fractions

This chapter deals with fractions and revises concepts learnt in earlier classes. Students strengthen their understanding of fractions by performing operations such as addition and subtraction. The chapter explains fractions using real-life examples to improve clarity. 

Students practise comparing fractions and solving problems involving fractional values. Emphasis is placed on understanding fractions as parts of a whole. This chapter helps students apply fraction concepts confidently in daily life and prepares them for advanced fraction operations in higher classes.

Ganita Prakash II

Chapter 1: Geometric Twins

Chapter 1 deals with congruent figures and symmetry. Students learn how to identify shapes that are exactly the same in size and shape. The chapter explains congruence through simple figures and visual examples.

Students also explore symmetry by observing objects and patterns around them. Activities help students recognise lines of symmetry in shapes. This chapter improves spatial understanding and visual reasoning. By studying geometric twins, students develop the ability to compare shapes accurately.

Chapter 2: Operations with Integers

This chapter deals with integers and their operations. Students learn about positive and negative numbers and their representation on a number line. The chapter explains addition, subtraction, multiplication, and division of integers using clear steps.

Number lines are used extensively to help students visualise operations. Practice exercises help students avoid common errors. This chapter builds confidence in handling integers and prepares students for algebraic concepts.

Chapter 3: Finding Common Ground

Chapter 3 focuses on factors and multiples, including HCF and LCM. Students learn different methods to find them, such as listing and prime factorisation. The chapter explains how these concepts are used to solve practical problems. Worked examples help students understand the steps clearly. This chapter strengthens numerical skills and logical thinking.

Chapter 4: Another Peek Beyond the Point

This chapter extends the study of decimals. Students practise addition, subtraction, multiplication, and division of decimal numbers. The chapter explains shifting of decimal points and operations involving powers of 10. Real-life examples help students understand the use of decimals in measurements and money. This chapter improves calculation accuracy.

Chapter 5: Connecting the Dots…

This chapter introduces coordinate geometry. Students learn about the Cartesian plane and ordered pairs. They practise plotting points on graphs and understanding their positions. The chapter develops spatial awareness and graph-reading skills.

Chapter 6: Constructions and Tilings

Chapter 6 deals with basic geometric constructions. Students learn to draw shapes using rulers and compasses. The chapter also explains tiling patterns and how shapes fit together. Activities improve precision and creativity.

Chapter 7: Finding the Unknown

This chapter introduces simple equations and unknown values. Students learn to solve equations step by step. The chapter strengthens logical reasoning and prepares students for advanced algebra.

Chapter 6: Constructions and Tilings

This chapter teaches basic geometric constructions using tools. Students also explore patterns formed by tiling shapes.

Chapter 7: Finding the Unknown

Students learn to solve simple equations and find unknown values. This chapter strengthens logical reasoning and algebraic thinking skills.

Key Features of Vedantu’s NCERT Solutions for Class 7 Maths

1. The NCERT Solutions for Class 7 Maths on Vedantu are prepared by highly qualified and experienced faculty.

2. The solutions for all the questions are provided step-by-step, with detailed explanations so that students can easily understand everything.

3. Students can refer to the pdf format of the solutions online or download it for offline use while preparing for their exams.

4. The solutions are provided chapter-wise, as well as exercise-wise, for the ease of learning.  

At Vedantu, we aim to help students in every way, which includes offering solutions for each topic from the In The NCERT Class 7 Maths Solutions.. For CBSE, NCERT textbooks are considered the best as per the curriculum. Solutions at Vedantu are created, keeping this in mind.

Why Choose NCERT Solutions for Class 7 Maths on Vedantu?

• All NCERT Maths Class 7 solutions are created by experienced educators to ensure accuracy and clear concept explanation.

• Each question from the Class 7 Maths NCERT textbook is explained in a simple and detailed manner to help students understand every step easily.

• Students can access the Class 7 Maths book PDF with solutions organised chapter-wise and exercise-wise for quick revision.

• The NCERT Maths Class 7 textbook PDF download option allows learners to study anytime, even without internet access.

NCERT Solutions for Class 7 Maths - Chapter-wise List (Old Syllabus)

Given below are the chapter-wise NCERT Solutions for Class 7 Maths. These solutions are provided by the Maths experts at Vedantu in a detailed manner. Go through these chapter-wise solutions to be thoroughly familiar with the concepts. 

NCERT Solutions for Class 7 Maths Chapter Details, Formulas and Exercises PDF

Chapter 1 - Integers

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Chapter 2 - Fractions and Decimals

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Chapter 3 - Data Handling

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Chapter 4 - Simple Equations

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Chapter 5 - Lines and Angles

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Chapter 6 - The Triangle and its Properties

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Chapter 7 - Comparing Quantities

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Chapter 8 - Rational Numbers

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Chapter 9 - Perimeter and Area

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Chapter 10 - Algebraic Expressions

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Chapter 11 - Exponents and Powers

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Chapter 12 - Symmetry

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Chapter 13 - Visualising Solid Shapes

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Important Related Links for NCERT Class 7 Maths

Access these essential links for NCERT Class 7 Maths, offering comprehensive solutions, study guides, and additional resources to help students master language concepts and excel in their exams.