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NCERT Solutions for Class 5 Maths (2025-26)

By Swati Singh

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Updated on 6 Jun 2025, 13:12 IST

NCERT Solutions for Class 5 Maths are created to help students solve difficult Maths problems effectively. These solutions have been carefully developed by our experienced subject experts to ensure clarity and accuracy.

The more complex problems are solved in a clear, step-by-step way, making it easier for students to understand the concepts and learn quickly. These solutions are based on the latest syllabus (2025-2026) and follow the CBSE board guidelines. The Class 5 Maths NCERT Solutions provide detailed answers to the questions in the prescribed textbooks.

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NCERT Solutions for Class 5 Maths - Chapter

  • Chapter 1 The Fish Tale
  • Chapter 2 Shapes and Angles
  • Chapter 3 How Many Squares?
  • Chapter 4 Parts and Wholes
  • Chapter 5 Does It Look the Same?
  • Chapter 6 Be My Multiple, I’ll Be Your Factor
  • Chapter 7 Can You See the Pattern?
  • Chapter 8 Mapping Your Way
  • Chapter 9 Boxes and Sketches
  • Chapter 10 Tenths and Hundredths
  • Chapter 11 Areas and Its Boundary
  • Chapter 12 Smart Charts
  • Chapter 13 Ways to Multiply and Divide
  • Chapter 14 How Big? How Heavy?

NCERT Solutions Class 5 Maths Chapters-wise - Question Answer

 

NCERT Solution Class 5 Maths Chapter 1 “The Fish Tale”

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  1. What is the main concept taught in Chapter 1, "The Fish Tale"?
    Answer: The main concept of Chapter 1, "The Fish Tale," is about understanding large numbers. It explains how to read, write, and compare large numbers, and how to represent numbers in different ways using place value.
  2. How do we read and write numbers in words?
    Answer: We read and write numbers in words by breaking them down according to their place value. For example, the number 48,562 is read as "forty-eight thousand five hundred sixty-two". We use the place values of units, tens, hundreds, thousands, and so on to read large numbers.
  3. What is place value and how is it used in Chapter 1?
    Answer: Place value is the value of a digit based on its position in a number. In Chapter 1, place value is used to understand large numbers. For example, in the number 72,356, the place value of 7 is 70,000, of 2 is 2,000, of 3 is 300, and so on.
  4. How do we compare large numbers?
    Answer: We compare large numbers by first checking the number of digits. If the numbers have the same number of digits, we compare them from the left-most digit (highest place value). For example, 58,963 is greater than 57,342 because 58,963 has a higher value in the ten-thousands place.
  5. What is the importance of learning about large numbers in this chapter?
    Answer: Learning about large numbers helps us understand how to handle and organize big data in everyday life. It is important in real-life situations, such as reading population numbers, understanding the distance between cities, and working with large amounts of money.

NCERT Solution Class 5 Maths Chapter 2 Shapes and Angles

  1. What are angles?
    Answer: An angle is formed when two lines meet at a common point, called the vertex. The space between the two lines is called the angle. It is measured in degrees (°).
  2. What is the difference between a right angle and an acute angle?
    Answer: A right angle is an angle that measures exactly 90°.

                     An acute angle is an angle that measures less than 90°.

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  1. What are the different types of angles?
    Answer: There are four main types of angles:
  • Acute Angle: Less than 90°.
  • Right Angle: Exactly 90°.
  • Obtuse Angle: More than 90° but less than 180°.
  • Straight Angle: Exactly 180°.
  1. How can you identify a right angle?
    Answer: A right angle can be identified by looking for a 90° angle, which forms a perfect L shape. You can also use a set square or a ruler to check if the angle is exactly 90°.
  2. What are the properties of a triangle?
    Answer: A triangle is a three-sided polygon. The sum of all the angles inside a triangle is always 180°. Triangles can be classified based on their angles:
  • Acute triangle: All angles are less than 90°.
  • Right triangle: One angle is exactly 90°.
  • Obtuse triangle: One angle is more than 90°.

NCERT Solution Class 5 Maths Chapter 3 How Many Squares?

  1. What is the main concept of Chapter 3: How Many Squares?
    Answer: Chapter 3: How Many Squares? helps students learn about counting squares in different patterns. It focuses on identifying and counting the number of small and large squares within a bigger square or rectangular grid. The chapter also teaches how to use multiplication to count squares in larger patterns.
  2. How do you count the number of squares in a given figure?
    Answer: To count the number of squares in a figure, first count all the small squares. Then, count the larger squares that can be formed by combining smaller squares. This may include 1x1, 2x2, 3x3, etc., squares. Add them all together to get the total number of squares.
  3. What is the total number of squares in a 4x4 grid?
    Answer: In a 4x4 grid, there are:
  • 16 small 1x1 squares (4 rows × 4 columns).
  • 9 larger 2x2 squares (3 rows × 3 columns).
  • 4 even larger 3x3 squares (2 rows × 2 columns).
  • 1 big 4x4 square (1 row × 1 column).

So, the total number of squares is:
16 (1x1) + 9 (2x2) + 4 (3x3) + 1 (4x4) = 30 squares.

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  1. Why is it important to understand how to count squares?
    Answer: Understanding how to count squares helps in building logical thinking and problem-solving skills. It also makes it easier to solve geometry problems involving area, shapes, and patterns. This skill is useful in many real-life applications, like tiling floors or designing patterns.
  2. How can you find the number of squares in a rectangular grid?
    Answer: To find the number of squares in a rectangular grid, first count all the small squares (1x1). Then, move to larger squares (2x2, 3x3, etc.). For each size, count how many can fit in the grid. Add up all the counts for each size to get the total number of squares.

NCERT Solution Class 5 Maths Chapter 4 Parts and Wholes

  1. What is a fraction?
    Answer: A fraction represents a part of a whole. It is written in the form of a numerator (top number) and a denominator (bottom number). The numerator shows how many parts we have, and the denominator shows how many equal parts the whole is divided into. For example, in the fraction 3/4, 3 is the numerator (the number of parts we have), and 4 is the denominator (the total number of equal parts).
  2. How do we represent a part of a whole in a fraction?
    Answer: To represent a part of a whole, we divide the whole into equal parts. The number of parts we are considering becomes the numerator, and the total number of equal parts becomes the denominator. For example, if we divide a pizza into 4 equal slices and eat 1, the fraction representing the part we have eaten is 1/4.
  3. How can we write the fraction 3/5 as a decimal?
    Answer: To convert the fraction 3/5 into a decimal, divide the numerator (3) by the denominator (5).
    3 ÷ 5 = 0.6.
    So, 3/5 is equal to 0.6 in decimal form.
  4. What is the difference between a proper fraction and an improper fraction?
    Answer: A proper fraction is a fraction where the numerator is smaller than the denominator, like 3/4 or 2/5.
    An improper fraction is a fraction where the numerator is greater than or equal to the denominator, like 5/4 or 7/7.
  5. How can we add fractions with the same denominator?
    Answer: To add fractions with the same denominator, we simply add the numerators (top numbers) and keep the denominator (bottom number) the same.
    For example, to add 2/5 and 3/5, we add the numerators:
    2 + 3 = 5.
    So, 2/5 + 3/5 = 5/5, which equals 1.

NCERT Solution Class 5 Maths Chapter 5 Does It Look the Same?

  1. What is the main concept of Chapter 5, "Does It Look the Same?"
    Answer: The main concept of Chapter 5, "Does It Look the Same?" focuses on understanding the properties of shapes and objects. It helps students recognize when two shapes or objects are the same or different based on their properties, such as size, shape, and orientation. The chapter also explains the concept of symmetry.
  2. How can we identify if two shapes are the same or not?
    Answer: We can identify if two shapes are the same by comparing their size, shape, and angles. If both shapes have the same dimensions, angles, and sides, then they are the same, regardless of their orientation.
  3. What is symmetry in shapes?
    Answer: Symmetry in shapes means that if a shape is divided into two equal parts, both parts are identical or mirror images of each other. A shape is symmetric if it can be folded along a line so that both halves match perfectly.
  4. Can two shapes that are of different sizes be the same?
    Answer: No, two shapes that are of different sizes cannot be the same. Even if their shape and angles are identical, they must also have the same size to be considered the same. Size matters when determining if two shapes are exactly the same.
  5. What is the importance of understanding symmetry in real life?
    Answer: Understanding symmetry is important in real life because it helps in recognizing patterns in nature, architecture, and design. For example, many objects around us, like flowers, leaves, and buildings, have symmetrical patterns, making them visually appealing and balanced.

NCERT Solution Class 5 Maths Chapter 6 Be My Multiple, I’ll Be Your Factor

  1. What are multiples and factors?
    Answer: Multiples are the numbers you get when you multiply a number by any other whole number. For example, the multiples of 3 are 3, 6, 9, 12, and so on.
    Factors are the numbers that divide a number exactly without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.
  2. What is the relationship between multiples and factors?
    Answer: The relationship between multiples and factors is that factors of a number are the numbers that divide it exactly, and the multiples of a number are numbers that can be divided by that number. For example, 6 is a factor of 12 because 12 ÷ 6 = 2. On the other hand, 12 is a multiple of 6 because 6 × 2 = 12.
  3. What are the first five multiples of 5?
    Answer: The first five multiples of 5 are:
    5 × 1 = 5
    5 × 2 = 10
    5 × 3 = 15
    5 × 4 = 20
    5 × 5 = 25

So, the first five multiples of 5 are 5, 10, 15, 20, and 25.

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  1. How do you find the factors of a number?
    Answer: To find the factors of a number, divide the number by different whole numbers and check if there is no remainder. The numbers that divide the original number exactly (without leaving any remainder) are its factors.
    For example, to find the factors of 18:

18 ÷ 1 = 18 (no remainder)

18 ÷ 2 = 9 (no remainder)

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18 ÷ 3 = 6 (no remainder)

18 ÷ 6 = 3 (no remainder)

18 ÷ 9 = 2 (no remainder)

18 ÷ 18 = 1 (no remainder)

So, the factors of 18 are 1, 2, 3, 6, 9, and 18.

  1. What is the least common multiple (LCM) of 4 and 6?
    Answer: To find the LCM of 4 and 6, list the multiples of both numbers:

Multiples of 4: 4, 8, 12, 16, 20, 24, ...

Multiples of 6: 6, 12, 18, 24, 30, ...

The smallest common multiple is 12, so the LCM of 4 and 6 is 12.

NCERT Solution Class 5 Maths Chapter 7 Can You See the Pattern?

  1. What is a pattern in mathematics?
    Answer: A pattern in mathematics is a sequence of numbers, shapes, or objects that follow a certain rule or repeat in a predictable way. For example, in the sequence 2, 4, 6, 8, the pattern is adding 2 each time.
  2. How can you identify a pattern in numbers?
    Answer: To identify a pattern in numbers, look at the difference or relationship between the numbers. For example, in the sequence 3, 6, 9, 12, you can see that each number increases by 3. This is the pattern.
  3. What is the pattern in the following sequence: 5, 10, 15, 20, 25?
    Answer: The pattern in the sequence 5, 10, 15, 20, 25 is that each number increases by 5. This means the pattern is adding 5 to the previous number.
  4. Can you find the next number in the pattern: 2, 4, 8, 16, ___?
    Answer: The pattern in this sequence is that each number is multiplied by 2. So, the next number is 16 × 2 = 32. Therefore, the next number is 32.
  5. What is the rule for the pattern: 1, 4, 9, 16, 25?
    Answer: The pattern 1, 4, 9, 16, 25 is made by squaring consecutive natural numbers.
  • 1 is 1²,
  • 4 is 2²,
  • 9 is 3²,
  • 16 is 4²,
  • 25 is 5².
    So, the rule is to square the numbers 1, 2, 3, 4, 5, and so on.

NCERT Solution Class 5 Maths Chapter 8 Mapping Your Way

  1. What is a map?
    Answer: A map is a drawing that represents an area. It shows the locations of places, roads, rivers, and other features on a flat surface. Maps use symbols and a key to help us understand the locations.
  2. What is the difference between a map and a globe?
    Answer: A map is a flat, two-dimensional drawing of the Earth's surface, while a globe is a three-dimensional model of the Earth. A globe represents the Earth more accurately, but maps are easier to use for studying specific areas.
  3. What are symbols on a map?
    Answer: Symbols on a map are pictures or shapes used to represent different features like roads, rivers, buildings, and mountains. These symbols are explained in the map's key or legend, making it easier to understand the map.
  4. How do we find directions on a map?
    Answer: We find directions on a map by using a compass. The four main directions are North (N), South (S), East (E), and West (W). These directions are usually marked on the map, and we can use them to figure out the location of different places.
  5. What is a scale on a map?
    Answer: A scale on a map shows the relationship between the distance on the map and the actual distance on the ground. For example, 1 cm on the map might represent 1 km in real life. This helps us understand the actual size and distance between places on the map.

NCERT Solution Class 5 Maths Chapter 9 Boxes and Sketches

  1. What is the main topic of Chapter 9: Boxes and Sketches in Class 5 Maths?
    Answer: Chapter 9, "Boxes and Sketches," focuses on understanding the 3D shapes (solid shapes) such as cubes, cuboids, cylinders, cones, and spheres. The chapter helps students learn how to sketch these shapes and understand their properties, such as edges, faces, and vertices.
  2. How many faces, edges, and vertices does a cube have?
    Answer: A cube has:
  • 6 faces (all square-shaped)
  • 12 edges (all of equal length)
  • 8 vertices (corners)
  1. What is the difference between a cube and a cuboid?
    Answer: The main difference between a cube and a cuboid is that in a cube, all the faces are squares, and all the edges are of the same length. In a cuboid, the faces are rectangles, and the edges can have different lengths.
  2. How do you draw a sketch of a cube?
    Answer: To draw a sketch of a cube:
  • Start by drawing a square.
  • Draw another square of the same size slightly above and to the right of the first square.
  • Connect the corresponding corners of the two squares with straight lines to form the 3D shape of the cube.
  1. What are the properties of a cylinder?
    Answer: A cylinder has:
  • 2 circular faces (one at the top and one at the bottom)
  • 1 curved surface (the side of the cylinder)
  • 0 vertices (no corners)
  • 2 edges (where the curved surface meets the circular faces)

NCERT Solution Class 5 Maths Chapter 11 Areas and Its Boundary

  1. What is the formula to find the area of a rectangle?
    Answer: The formula to find the area of a rectangle is:
    Area = Length × Width
    To calculate the area, multiply the length and width of the rectangle.
  2. How do you calculate the perimeter of a rectangle?
    Answer: The formula to calculate the perimeter of a rectangle is:
    Perimeter = 2 × (Length + Width)
    You add the length and width, then multiply the sum by 2.
  3. What is the area of a square with a side of 6 cm?
    Answer: The formula to find the area of a square is:
    Area = Side × Side
    If the side of the square is 6 cm, then:
    Area = 6 × 6 = 36 cm²
    So, the area of the square is 36 square centimeters.
  4. How do you calculate the perimeter of a square?
    Answer: The formula to calculate the perimeter of a square is:
    Perimeter = 4 × Side
    If the side of the square is 5 cm, then:
    Perimeter = 4 × 5 = 20 cm
    So, the perimeter of the square is 20 cm.
  5. What is the area of a triangle with a base of 8 cm and a height of 5 cm?
    Answer: The formula to find the area of a triangle is:
    Area = (Base × Height) ÷ 2
    If the base is 8 cm and the height is 5 cm:
    Area = (8 × 5) ÷ 2 = 40 ÷ 2 = 20 cm²
    So, the area of the triangle is 20 square centimeters.

NCERT Solution Class 5 Maths Chapter 12 Areas and Its Boundary

  1. What is the area of a rectangle?
    Answer: The area of a rectangle is found by multiplying its length and width.
    Formula:
    Area = Length × Width
  2. How do you find the area of a square?
    Answer: The area of a square is found by multiplying the length of one of its sides by itself.
    Formula:
    Area = Side × Side
  3. A rectangle has a length of 8 cm and a width of 5 cm. What is its area?
    Answer: To find the area of the rectangle, we multiply the length by the width.
    Area = 8 cm × 5 cm = 40 cm².
    So, the area of the rectangle is 40 cm².
  4. What is the boundary of a shape called?
    Answer: The boundary of a shape is called its perimeter. The perimeter is the total length around the outside of a shape.
  5. How do you calculate the perimeter of a square?
    Answer: To calculate the perimeter of a square, you multiply the length of one of its sides by 4.
    Formula:
    Perimeter = 4 × Side

NCERT Solution Class 5 Maths Chapter 13 Ways to Multiply and Divide

  1. What is the method to multiply a number by 10, 100, or 1000?
    Answer: To multiply a number by 10, 100, or 1000, simply move the decimal point to the right.
  • To multiply by 10, move the decimal one place to the right.
  • To multiply by 100, move the decimal two places to the right.
  • To multiply by 1000, move the decimal three places to the right.
    For example, 4 × 100 = 400.
  1. How do you divide a number by 10, 100, or 1000?
    Answer: To divide a number by 10, 100, or 1000, move the decimal point to the left.
  • To divide by 10, move the decimal one place to the left.
  • To divide by 100, move the decimal two places to the left.
  • To divide by 1000, move the decimal three places to the left.
    For example, 500 ÷ 100 = 5.
  1. What is long division, and when do we use it?
    Answer: Long division is a method used to divide large numbers. It helps divide a number step by step by breaking down the process into manageable parts. We use long division when we need to divide a number that doesn’t have an easy or quick answer.
    For example, dividing 567 by 3 using long division gives us 189.
  2. How do you multiply two 3-digit numbers using the column method?
    Answer: To multiply two 3-digit numbers using the column method:
  • Write the numbers one below the other.
  • Multiply the bottom number’s ones place by the top number and write the result below the line.
  • Multiply the bottom number’s tens and hundreds places similarly, adjusting the place value.

Add all the partial results.
For example:
245 × 312
First, multiply 245 by 2, then 245 by 1 (shifted by one place), and then by 3 (shifted by two places), and add them up.

  1. How do you divide a number with a remainder?
    Answer: When dividing a number that doesn’t divide evenly, you will have a remainder. The remainder is the number left over after the division.
    For example, when dividing 25 by 4, you get 6 with a remainder of 1. This is written as 25 ÷ 4 = 6 R1, where R1 stands for the remainder.

NCERT Solution Class 5 Maths Chapter 14 How Big? How Heavy?

  1. What is the main focus of Chapter 14, "How Big? How Heavy?" in Class 5 Maths?
    Answer: Chapter 14, "How Big? How Heavy?", focuses on understanding the concepts of measurement, including the measurement of length, weight, and capacity. It introduces units like meters, grams, and liters, and teaches how to compare the sizes and weights of different objects.
  2. How do you measure weight using a balance scale?
    Answer: To measure weight using a balance scale, you place the object you want to weigh on one side of the scale. On the other side, you place known weights (like kilograms or grams) until the scale is balanced. The weight of the object is equal to the total weight on the other side when it balances.
  3. Convert 5 kilograms into grams.
    Answer: To convert kilograms to grams, we multiply by 1000 (since 1 kilogram = 1000 grams).
    So, 5 kilograms = 5 × 1000 = 5000 grams.
  4. If an object weighs 1500 grams, how many kilograms does it weigh?
    Answer: To convert grams to kilograms, we divide by 1000 (since 1 kilogram = 1000 grams).
    So, 1500 grams ÷ 1000 = 1.5 kilograms.
  5. What is the difference between capacity and weight?
    Answer: Capacity refers to the amount of space a container can hold (usually measured in liters or milliliters), while weight refers to how heavy an object is (measured in grams or kilograms). For example, a jug has a capacity of 2 liters, while a bag of rice has a weight of 5 kilograms.

FAQs on NCERT Solutions for Class 5 Maths

What are NCERT Solutions for Class 5 Maths?

NCERT Solutions for Class 5 Maths are a collection of detailed answers to all the questions in the Class 5 Maths textbook. These solutions are created to help students understand concepts in a step-by-step manner, making complex problems easier to solve.

Why are NCERT Solutions for Class 5 Maths important?

NCERT Solutions for Class 5 Maths are important because they help students improve their problem-solving skills. By following these solutions, students can gain a better understanding of various mathematical concepts and practice solving different types of problems effectively.

How can NCERT Solutions for Class 5 Maths help in exams?

NCERT Solutions for Class 5 Maths are directly aligned with the CBSE syllabus and exam pattern. They provide detailed explanations of textbook questions and examples, allowing students to practice and learn the concepts needed to perform well in exams.

Are the NCERT Solutions for Class 5 Maths available for free?

Yes, NCERT Solutions for Class 5 Maths are available for free on various educational websites and platforms. You can download the solutions in PDF format and access them anytime to assist with your studies.

Do NCERT Solutions for Class 5 Maths cover all the chapters in the textbook?

Yes, NCERT Solutions for Class 5 Maths cover all the chapters in the prescribed textbook. Each chapter's questions, ranging from basic to complex, are explained in detail to ensure comprehensive understanding and practice.

Can I use NCERT Solutions for Class 5 Maths to clear my doubts?

Absolutely! NCERT Solutions for Class 5 Maths are a great resource to clear your doubts. If you're stuck on a problem or concept, you can refer to the step-by-step solutions to understand how to solve it.

How are the problems solved in NCERT Solutions for Class 5 Maths?

The problems in NCERT Solutions for Class 5 Maths are solved using simple, step-by-step methods. Each solution is broken down to make it easier for students to follow and understand the logic behind each step.

Are NCERT Solutions for Class 5 Maths helpful for competitive exams?

Yes, NCERT Solutions for Class 5 Maths are helpful for competitive exams like NTSE, Olympiads, and others. The solutions provide a solid foundation in basic mathematics, which is essential for higher-level competitive exams.

How do I use NCERT Solutions for Class 5 Maths effectively?

To use NCERT Solutions effectively:

Read the theory of each chapter thoroughly.

Try solving problems on your own before checking the solutions.

Understand the steps involved in solving each problem.

Regularly practice to reinforce your learning.

Where can I find NCERT Solutions for Class 5 Maths?

NCERT Solutions for Class 5 Maths can be found on various educational websites, learning platforms, or by searching for free downloadable PDFs. Many platforms also offer mobile apps that make these solutions easily accessible.