NCERT Solutions for Class 8 Mathematics provide detailed, step-by-step solutions for the Ganita Prakash math book. The book is divided into two parts. The first part covers basic algebra, number theory, and geometry. Part 2 explores coordinate geometry, fractions, and the Pythagorean theorem.
Shiksha Nation’s solutions are an excellent resource for increasing your accuracy, speed, and answer-writing skills in mathematics, as it requires regular practice. These NCERT Class 8 Maths Solutions can help in your preparation, whether your goal is to understand basic concepts or study for school exams. The NCERT solution to each exercise and question is explained properly, making mathematics easier to understand.
NCERT Solutions for Class 8 Maths Latest Chapter wise 2026 27
Ganita Prakash Part - 1
| S.No. | Chapter Name & Topic |
| 1 | Chapter 1 - A Square and a Cube |
| 2 | Chapter 2 - Power Play |
| 3 | Chapter 3 - A Story of Numbers |
| 4 | Chapter 4 - Quadrilaterals |
| 5 | Chapter 5 - Number Play |
| 6 | Chapter 6 - We Distribute, Yet Things Multiply |
| 7 | Chapter 7 - Proportional Reasoning - I |
Ganita Prakash Part - 2
| S.No. | Chapter Name & Topic |
| 1 | Chapter 1 - Fractions in Disguise |
| 2 | Chapter 2 - The Baudhayana-Pythagoras Theorem |
| 3 | Chapter 3 - Proportional Reasoning - II |
| 4 | Chapter 4 - Exploring Some Geometric Themes |
| 5 | Chapter 5 - Tales by Dots and Lines |
| 6 | Chapter 6 - Algebra Play |
| 7 | Chapter 7 - Area |
NCERT Solutions for Class 8 Mathematics Overview
Ganita Prakash-I
Chapter 1 - A Square and A Cube
The first chapter introduces square and cube numbers. Students learn about perfect squares and perfect cubes and understand their properties. The chapter explains how square and cube numbers can be understood through geometric figures. Students also learn methods for finding square roots and cube roots. The chapter helps in developing a better number sense and builds a strong foundation for mathematical thinking.
Chapter 2 - Power Play
Chapter 2 introduces exponents and powers for repeated multiplication. Students learn about bases and exponents and understand how powers help write large numbers in a shorter form. The chapter explains the laws of exponents, including multiplication and division of powers and powers raised to powers. Students also learn about zero and negative exponents, powers of 10, and expressing very large or small numbers. The chapter improves reasoning and forms an important foundation for algebra and calculations in science as well.
Chapter 3 - A Story of Numbers
This chapter discusses the history and development of numbers and how people counted in different times and civilizations. Students learn about early counting methods and number systems such as Roman, Egyptian, Mesopotamian, Chinese, and Hindu systems. The chapter explains landmark numbers, the idea of bases, place value, and the importance of zero in number representation. Students understand how number systems evolved and became more efficient over time.
Chapter 4 - Quadrilaterals
Chapter 4 introduces quadrilaterals and their different types. Students learn about the properties of rectangles, squares, parallelograms, rhombuses and trapeziums. The chapter explains sides, angles, diagonals, and the angle sum property of quadrilaterals. Students compare shapes and study how their properties help in identifying and classifying them. The chapter can help students develop geometric reasoning, better visualization skills, and builds a strong foundation for geometry in higher classes.
Chapter 5 - Number Play
Chapter 5 helps students explore interesting patterns and properties of numbers. Students learn about parity, divisibility rules, remainders, and number relationships. The chapter includes number patterns and digital roots that help develop logical and creative thinking. Students learn shortcuts and methods that make calculations easier and more interesting. They also learn to solve mathematical statements using reasoning.
Chapter 6 - We Distribute, Yet Things Multiply
This chapter shows how multiplication is connected with addition and subtraction. Students learn how to expand and simplify algebraic expressions using distributive methods. The chapter explores multiplication of expressions and important algebraic identities. Students learn shortcuts for calculations and fast multiplication methods. The chapter also helps students learn different methods that lead to the same answer and understand algebra through logic and reasoning.
Chapter 7 - Proportional Reasoning-1
This chapter introduces proportional reasoning. Students learn about ratios, proportions, and how quantities change in relation to each other. The chapter explains similarity in change and helps students identify proportional relationships using logical reasoning. Students also learn the rule of three, sharing in a given ratio, and unit conversions.
Ganita Prakash-II
Chapter 1 - Fractions in Disguise
Chapter 1 discusses percentages and their connection with fractions and decimals. Students learn how fractions, decimals, and percentages can represent the same quantity in different forms and how to convert between them. The chapter explains percentage increase and decrease, comparison using percentages, and percentages greater than 100. Students also learn about profit and loss, discount, taxes, growth, compounding, and depreciation. The chapter helps students in developing better calculation skills, logical reasoning, and practical understanding of mathematics. It also helps students connect mathematics with finance and shopping.
Chapter 2 - The Baudhayana-Pythagoras Theorem
This chapter introduces the Baudhayana–Pythagoras Theorem and its importance in geometry. Students learn about right-angled triangles and the relationship between their sides through the theorem. The chapter explores ideas such as doubling and halving squares, the hypotenuse of an isosceles right triangle, and the value of √2. Students also learn about Pythagorean triples and how the theorem helps find unknown lengths.
Chapter 3 - Proportional Reasoning-2
Chapter 3 further discusses proportional reasoning. Students learn how ratios are used in maps through Representative Fraction (RF). The chapter introduces ratios involving more than two quantities and explains how to divide a whole in a given ratio. Students also learn to represent data using pie charts and understand inverse proportions. This chapter builds a strong foundation for proportional reasoning and its applications in mathematics.
Chapter 4 - Exploring Some Geometric Themes
This chapter explains various geometric ideas. Students study angle sums in polygons, tessellations, and important geometric relationships. The chapter introduces Euler’s formula and explains how faces, edges, and vertices are connected in solid shapes. The chapter improves logical reasoning, visualization, and geometric understanding.
Chapter 5 - Tales by Dots and Lines
This chapter talks about data through dots and lines. Students learn about mean and median and understand how they work as measures of central tendency and balance in a set of data. The chapter explains how data changes when values are added, removed, or modified and introduces frequency tables and spreadsheets. Students also learn to read and interpret line graphs and other visual data. The chapter helps students in developing better logical thinking, observation skills, and confidence in understanding and presenting data.
Chapter 6 - Algebra Play
Chapter 6 is about algebra. Students learn how algebra helps explain number tricks and understand why certain patterns always work. The chapter includes activities such as ‘Think of a Number’ tricks, number pyramids, calendar and grid patterns and divisibility tricks. The chapter develops creativity, problem-solving ability, and confidence in algebraic thinking. It makes algebra engaging while building a strong foundation for future mathematics in higher classes.
Chapter 7 - Area
The last chapter focuses on understanding and measuring the area of different shapes. Students learn how to find the area of rectangles, squares, triangles, parallelograms, rhombuses, trapeziums, and other polygons using various formulas. The chapter also explains how shapes can be divided and rearranged through dissection to understand area more clearly. The chapter improves problem-solving skills and builds a better understanding of basic geometry which is important for more advanced concepts later.
