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Class 5 Mathematics Assignments

We have provided below free printable Class 5 Mathematics Assignments for Download in PDF. The Assignments have been designed based on the latest NCERT Book for Class 5 Mathematics . These Assignments for Grade 5 Mathematics cover all important topics which can come in your standard 5 tests and examinations. Free printable Assignments for CBSE Class 5 Mathematics , school and class assignments, and practice test papers have been designed by our highly experienced class 5 faculty. You can free download CBSE NCERT printable Assignments for Mathematics Class 5 with solutions and answers. All Assignments and test sheets have been prepared by expert teachers as per the latest Syllabus in Mathematics Class 5. Students can click on the links below and download all Pdf Assignments for Mathematics class 5 for free. All latest Kendriya Vidyalaya Class 5 Mathematics Assignments with Answers and test papers are given below.

Mathematics Class 5 Assignments Pdf Download

We have provided below the biggest collection of free CBSE NCERT KVS Assignments for Class 5 Mathematics . Students and teachers can download and save all free Mathematics assignments in Pdf for grade 5th. Our expert faculty have covered Class 5 important questions and answers for Mathematics as per the latest syllabus for the current academic year. All test papers and question banks for Class 5 Mathematics and CBSE Assignments for Mathematics Class 5 will be really helpful for standard 5th students to prepare for the class tests and school examinations. Class 5th students can easily free download in Pdf all printable practice worksheets given below.

Topicwise Assignments for Class 5 Mathematics Download in Pdf

Advantages of Class 5 Mathematics Assignments

• As we have the best and largest collection of Mathematics assignments for Grade 5, you will be able to easily get full list of solved important questions which can come in your examinations.
• Students will be able to go through all important and critical topics given in your CBSE Mathematics textbooks for Class 5 .
• All Mathematics assignments for Class 5 have been designed with answers. Students should solve them yourself and then compare with the solutions provided by us.
• Class 5 Students studying in per CBSE, NCERT and KVS schools will be able to free download all Mathematics chapter wise worksheets and assignments for free in Pdf
• Class 5 Mathematics question bank will help to improve subject understanding which will help to get better rank in exams

Frequently Asked Questions by Class 5 Mathematics students

At https://www.cbsencertsolutions.com, we have provided the biggest database of free assignments for Mathematics Class 5 which you can download in Pdf

We provide here Standard 5 Mathematics chapter-wise assignments which can be easily downloaded in Pdf format for free.

You can click on the links above and get assignments for Mathematics in Grade 5, all topic-wise question banks with solutions have been provided here. You can click on the links to download in Pdf.

We have provided here topic-wise Mathematics Grade 5 question banks, revision notes and questions for all difficult topics, and other study material.

We have provided the best collection of question bank and practice tests for Class 5 for all subjects. You can download them all and use them offline without the internet.

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Fifth Grade Math Worksheets

Free & printable grade 5 math worksheets.

Our grade 5 math worksheets cover the 4 operations, fractions and decimals at a greater level of difficulty than previous grades. We also introduce variables and expressions into our word problem worksheets .  

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• NCERT Solutions
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• NCERT 5 Maths

NCERT Solutions For Class 5 Maths

Download chapter-wise pdf ncert solutions for class 5.

NCERT Solutions for Class 5 Maths have been developed for students to help them find the right solutions for difficult Maths problems. These solutions of NCERT have been comprehensively and carefully constructed by our subject experts, who have years of experience.

Some of the complex problems have been solved in a step-by-step manner, allowing students to grasp concepts easily and understand them quickly. These solutions have been designed keeping in mind the latest syllabus (2023-2024) and CBSE board guidelines. Class 5 Maths NCERT Solutions contain detailed answers to questions provided in textbooks prescribed by the board.

Class 5 Maths NCERT Solutions

Maths NCERT Solutions for Class 5 explain all the basic concepts like Large Numbers, Factors, H.C.F And L.C.M., Tests Of Divisibility, Fractions, Decimals, Averages, Percentages, Simple Interest, Profit and Loss, Time, Unitary Method, Metric Measures, Bills, Temperature, Geometry and more. Here, we have provided students with chapter-wise Maths to encourage an in-depth understanding of concepts. The students can also download PDFs for each chapter from the given below links.

NCERT Solutions Class 5 Maths Chapters

Students are recommended to solve Maths NCERT Class 5 Solutions  for the preparation of examinations. The students can refer to these solved questions to boost their scores while getting clarity on all Maths-related topics.

Students will get access to lots of study materials for easy and smooth learning. Along with the solutions, NCERT books, notes, exemplars, etc., are also provided here, along with important questions from the exam point of view. Solving more questions from these materials helps students to gain confidence and, at the same time, be well-prepared for the exam.

Features of NCERT Solutions Class 5 Maths

• All the questions and chapters are included in the Class 5 Maths NCERT book.
• Steps-wise solutions are given to help students understand the concepts better.
• The easiest method has been followed to solve the questions.
• Solutions for Class 5 Maths can be downloaded and referred to offline.
• CBSE 5th Class Maths Solution is available for free, and any student can access them.

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NCERT Solutions For Class 5 Maths Free PDF Download 2024-25

• NCERT Solutions

NCERT Solutions for Class 5 Maths - Free PDF Download

NCERT Class 5th Maths is one of the most important subjects for class 5 students. Through this subject, students are introduced to the concepts of counting, patterns, mapping, boxes, charts, multiplication, division, and a lot more. These complex concepts are explained in an easy and understandable manner in the NCERT Solutions Class 5 Maths. Students can download the solutions and increase their chances of scoring high marks in the exams. The experts from Vedantu have formulated the NCERT Class 5 Maths Solutions for the development of the students. By practising these solutions, they can delve deeper into mathematical concepts and understand the meaning of different terms and formulas very easily.

Chapter-Specific NCERT Solutions for Class 5 Maths

Given below are the chapter-wise NCERT Solutions for Class 5 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.

Glance on NCERT Solutions Class 5 Maths

NCERT Solutions for Class 5 Maths for all the chapters from Chapters 1 to 14 are provided.

Practising the textbook questions using these solutions can help students good foundation of concepts.

Covering chapters like The Fish Tale, Shapes And Angles, How Many Squares, Parts and Wholes, Does It Look the Same, and more.

This page provides tips to Prepare for Your Class 5 Exams

This article also provides resources such as NCERT notes, important questions, and sample papers PDF for further reference.

NCERT Solutions for Class 5 Maths Chapter Details, Formulas and Exercises PDF

Chapter 1 - the fish tale.

The Fish Tale chapter deals with simple questions that involve using multiplication rules. You must practice all the questions given in this chapter in order to be better prepared for your exam.

Here's a breakdown of the topics covered in this chapter:

Shapes: The chapter guides you on drawing a fish using basic shapes like squares and triangles.

Estimation: It introduces estimation by asking you to guess the weight of a fish and a group of children.

Measurement: Concepts of size comparison come up when discussing the biggest fish you can imagine.

Simple Operations: While not explicitly mentioned, addition might be used when considering the weight of multiple children.

Speed and Distance: Later sections might introduce speed and distance concepts through word problems about boats and fishermen.

Other Related Links for Class 5 Maths Chapter 1

Chapter 2 - Shapes and Angles

This chapter covers the different shapes and angles in an interactive manner. In this, the students will be learning to use interesting pictures and videos, and 3D models. It also covers calculating the angle between the hands in the clock. Other questions will include the angle formed between a thigh and an abdomen, the angle the clock’s hands make at a specific time. The student should be able to solve these types of questions after getting an in-depth understanding of the chapter.

Introduction to Shapes: Recognizing basic 2D shapes like squares, rectangles, circles, and triangles. Identifying closed and open shapes. Counting sides and corners of shapes.

Understanding Angles: What is an angle? - Introduction to the concept of angles as corners formed by two lines meeting at a point. Identifying different types of angles. Observing angles in everyday objects and their names.

Activities and Applications: Creating shapes using materials like matchsticks. Identifying and comparing angles in shapes. Relating angles to real-world examples like clock hands, bird beaks, and branches of trees. Using everyday objects like books to create slides and understanding the concept of angles through their steepness.

Introduction to Geometry Tools: Briefly mentioned might be basic geometry tools like a divider and protractor, used for drawing and measuring angles (explained in more detail in later chapters).

Other Related Links for Class 5 Maths Chapter 2

Chapter 3 - How Many Squares

In this chapter, you will have references about rectangles including which rectangle has the longest perimeter, how many rectangles can be created with the given dots, etc. There are several exercise problems and solutions given in the chapter.

Squares and Their Properties: This section revisits the basic properties of squares, such as all four sides being equal and all four angles being right angles.

Counting Squares: Students engage in activities where they count the number of smaller squares that can fit into a larger rectangle or shape made up of squares.

Introduction to Area: The concept of area is introduced through activities involving squares. Students might solve problems where they find the total area of a shape by counting the number of smaller squares it covers.

Relationship Between Squares and Rectangles: The chapter might explore how squares can be used as building blocks to form rectangles, and how this relationship can be used to solve problems.

Other Related Links for Class 5 Maths Chapter 3

Chapter 4 - Parts and Whole

Parts and Wholes introduces fractions as parts of a whole. It uses visuals and real-life examples to help you understand how to represent these parts with fractions. You will have to solve different questions based on parts and whole and using different shapes for area models.

Introduction to the Concept of Parts and Wholes: The chapter starts by introducing the idea of a whole being divided into equal parts. It uses relatable examples like a flag divided into horizontal sections or a chocolate bar broken into pieces.

Fractions as Parts of a Whole: The concept of fractions is introduced as a way to represent a part of a whole. Students learn that the fraction notation (e.g., 1/2, 1/4) indicates the number of pieces taken (numerator) out of the total number of pieces the whole is divided into (denominator).

Visualizing Fractions Through Shapes and Drawings: The chapter uses shapes like rectangles and circles divided into equal parts to help students visualize fractions. They might be asked to colour a specific fraction of a shape or identify the fraction represented by a shaded part.

Relating Fractions to Real-life Scenarios: Word problems are presented where students have to apply their understanding of fractions. Examples include sharing a chocolate bar among friends or identifying the fraction of a flag represented by a particular colour.

Other Related Links for Class 5 Maths Chapter 4

Chapter 5 - Does it Look the Same?

This chapter has been designed in a way that students are able to understand the different shapes and patterns. The solutions provided by Vedantu will provide them with a step-by-step guide as well as tricks and tips that make it easier for them to learn. There are several concepts covered in this chapter including the different types of patterns and how you can identify them, changing the position of the alphabet figures, comparing them, learning shapes of different patterns, etc.

Mirror Symmetry: The concept is introduced using the idea of objects looking the same after a flip, like looking at a reflection in a mirror.

Identifying Symmetry: Students practice identifying shapes that look the same after a half turn or a quarter turn.

Activities: The chapter includes activities that involve folding shapes, tracing outlines, and drawing shapes after a turn to solidify the understanding of symmetry.

Overall, this chapter lays the foundation for understanding geometrical concepts like rotations and lays the groundwork for more advanced topics in higher grades.

Other Related Links for Class 5 Maths Chapter 5

Chapter 6 - Be My Multiple, I’ll be Your Factor

This chapter involves students learning about skipping and jumping 2 or 3 numbers and creating a series using it. This includes figuring out numbers that can be divided by 2, 3, and 4. They will learn about the multiples of a number in the sequence, along with the smallest common factors and other such concepts.

Multiples: You'll learn what multiples are. The chapter explains that a multiple of a number is obtained by multiplying that number by 1, 2, 3, and so on. Activities like finding multiples by skipping numbers or jumping a certain number of positions on a number line might be used.

Factors: The chapter then introduces factors. A factor of a number is a number that divides exactly into that number. Finding factors might involve dividing the number by different numbers and checking for remainders.

Relationship Between Factors and Multiples: The chapter establishes the connection between factors and multiples. The catchy phrase "Be My Multiple, I'll be Your Factor" helps students remember this relationship.

Finding Common Multiples: The chapter introduces common multiples. These are multiples that are common to two or more numbers. Activities like finding multiples of different numbers and then comparing them might be used to understand common multiples.

Smallest Common Multiple: You'll also be introduced to the concept of the least common multiple, which is the smallest number that is a common multiple of two or more numbers.

Other Related Links for Class 5 Maths Chapter 6

Chapter 7 - Can you See the Pattern

This chapter will test the student’s ability to see the pattern and understand the different types of shapes and patterns. All the solutions provided in Vedantu’s NCERT Solutions for Class 5 Maths come with examples like fill the square using numbers from 47 to 55 while ensuring that each line’s total is not more than 120.

Identifying Patterns: The chapter introduces the concept of patterns in designs and sequences. Students learn to recognize repeating elements and how they change or transform.

Following Rules: Patterns often follow specific rules. The chapter guides students in recognizing these rules, such as moving a shape up, down, or rotating it in a particular direction.

Clockwise and Anticlockwise Turns: The concept of rotating shapes in clockwise and anticlockwise directions is introduced. Students practice identifying patterns that involve these rotations.

Completing Patterns: Students are given incomplete patterns and asked to identify the missing element based on the established rule.

Magic Squares: This section introduces magic squares, which are grids filled with numbers where the sum of each row, column, and diagonal is the same. Students might be asked to identify errors in a magic square or complete a partially filled one.

Other Related Links for Class 5 Maths Chapter 7

Chapter 8 - Mapping Your Way

Vedantu’s NCERT Solutions for Class 5 maths for this chapter will cover questions on distance, area, shapes, etc. in the context of maps. This will include questions based on landmarks, rivers, buildings, etc.

Understanding Maps: Introduction to maps and their purpose. Learning different map symbols for representing roads, buildings, and other features.

Using a Map: Following directions on a map. Identifying locations on a map using reference points.

Map Scale: Understanding the concept of map scale and how it relates to actual distances. Using the scale to calculate distances between places shown on the map.

Other Related Links for Class 5 Maths Chapter 8

Chapter 9 - Boxes and Sketches

The NCERT 5th Class Maths Solutions explain this chapter using animated videos, models, and 3D images. This way, it ensures that students will be able to easily understand the concepts. Also, the book contains assignments as well as worksheets for practice. There are several examples in this chapter that students can solve for practice. The main concepts discussed in this chapter include using an open box’s figure to find the boxes’ shape. Students will have to figure out which figure they can use for forming a box.

Shapes that Fold into a Cube: This section introduces the idea of visualizing 3D shapes (cubes) from flat shapes. It presents different shapes cut from paper that can be folded into a cube.

Shapes for an Open Box: Similar to the previous section, this topic focuses on identifying flat shapes that can be folded to create an open box (like a gift box).

Floor Maps: This section introduces floor maps, which are top-down representations of a room or house layout. You'll learn how to visualize a 3D space from a 2D drawing.

Deep Drawings: This concept explores how a 3D object, like a cube or cuboid, would appear when viewed from a specific angle. It helps develop spatial reasoning skills.

Other Related Links for Class 5 Maths Chapter 9

Chapter 10 - Tenths and Hundredths

In this chapter, students will be learning about how to compare two figures using the given examples. They will find questions on how to measure the length of an animals’ tail. The chapter covers examples like what is the length of a 100 rupee note, which is the longest line among the given to, etc. It will help them get a better understanding of this chapter.

Introduction to Tenths and Hundredths: The chapter starts by introducing the concept of tenths and hundredths as a way to represent smaller parts of a whole compared to centimetres.

Decimals and Their Notation: It explains how decimals are written using a decimal point and digits after the point to represent tenths and hundredths.

Reading and Writing Decimals: Students will learn how to read and write decimal numbers correctly, understanding the place value of each digit.

Converting Between Fractions and Decimals: The chapter explores how to convert fractions like half (1/2) or quarter (1/4) into decimals like 0.5 and 0.25 respectively.

Measurement Using a Scale: Students will practice using a ruler with millimetre markings to measure lengths in centimetres and tenths of a centimetre (centimetres and millimetres can be written together as a decimal, like 2.9 cm).

Estimating Lengths: The chapter encourages students to estimate the length of objects before measuring them with a ruler, improving their understanding of scale.

Representing Decimals on a Number Line: It introduces the concept of placing decimals on a number line, which helps visualize the relative positions of decimal values.

Other Related Links for Class 5 Maths Chapter 10

Chapter 11 - Area and its Boundary

This chapter from Class 5 Maths deals with area and boundary where students have to calculate the areas of rectangles and squares, the difference between length and area, and how they can measure these. Students will be using the basic formulas for finding the problems as well as their solutions. The chapter also discusses some other techniques, such as multiplying and counting tiles. Other examples that are discussed in this chapter include perimeter, finding the area of rectangles, etc.

Understanding Area: The chapter starts with real-life examples to introduce the concept of area. It explains that area refers to the amount of space occupied by a flat shape, like the floor of a room or the top of a table.

Comparing Areas: Simple activities help students understand how to compare the areas of two shapes. They will learn different methods like covering both shapes with identical squares or by rearranging pieces of one shape to cover the other.

Units of Area: The concept of square centimetres (sq cm) as a unit to measure area is introduced. Students will practice finding the area of squares and rectangles by counting the number of square centimetres needed to cover their entire surface.

Boundary: The chapter explains how the path traced around a closed figure forms its boundary. Students will see the connection between the size of the boundary and the overall area of the shape.

Other Related Links for Class 5 Maths Chapter 11

Chapter 12 -  Smart Charts

When data is expressed visually through diagrams and charts, it will help you understand it better. In this chapter, you will learn how to represent data through tables, deduce conclusions, and solve different problems.

Tally Marks: This section teaches students how to use tally marks for quick counting. It explains how to make groups of four vertical lines and a diagonal line across every fifth mark to represent larger quantities.

Tabular Forms: The chapter introduces tables as a way to organize data in rows and columns. Students learn how to record information and make it easier to read and compare.

Bar Graphs: This section explains how to represent data visually using bar graphs. Students learn how the height or length of each bar corresponds to the quantity being represented.

Pie Charts: The chapter introduces pie charts as another way to represent data visually. Students see how a circle is divided into slices, where the size of each slice represents the proportion of the whole.

Family Trees: This section briefly introduces family trees as a way to represent family relationships and lineage.

Other Related Links for Class 5 Maths Chapter 12

Chapter 13 - Ways to Divide and Multiply

This chapter mainly deals with the different concepts of multiplications and division. From the perspective of academics and non-academics, these are very important concepts. Also, the questions provided in this chapter are related to real-life scenarios.

Multiplication Concepts: This section likely revisits the basics of multiplication, explaining what it means and how it relates to addition. It might introduce multiplication tables for better memorization of basic facts.

Multiplication Methods: This section dives into different methods for solving multiplication problems. It could cover approaches like repeated addition and grid method to make multiplication easier to grasp.

Long Multiplication: The chapter progresses to introducing long multiplication, a step-by-step process for multiplying larger numbers.

Division Concepts: Similar to multiplication, this section might explain the concept of division and its connection to multiplication.

Division Methods: Different methods for solving division problems are likely covered here. This could include repeated subtraction and short division, which is a formal approach to dividing numbers.

Word Problems: The chapter likely includes real-life scenarios (word problems) that involve multiplication and division. This helps students apply these concepts to practical situations.

Other Related Links for Class 5 Maths Chapter 13

Chapter 14 - How Big How Heavy

This chapter covers the different units and methods that can be used for measurements and weighing. It includes different questions related to areas and volumes. The questions are more related to concepts depicting real-life situations.

Measurement of Size and Weight: The chapter differentiates between size and weight, introducing students to the concept of volume as a measure of how much space an object occupies.

Using Measuring Tools: It introduces students to simple measuring tools like measuring glasses and helps them understand how to estimate the volume of objects using these tools.

Volume of Cubes: The chapter explains how to calculate the volume of cuboids (boxes) by introducing the concept of length, breadth and height.

Mass and Weight: It touches upon the difference between mass and weight, introducing weight as a measure of the force exerted by gravity on an object.

Other Related Links for Class 5 Maths Chapter 14

Important Topics

Every chapter and topic are important for your examination, as each chapter contains marks, but the following chapters are the most important ones.

Chapter 6 - Multiple, I’ll be Your Factor

Chapter 12 - Smart Charts

Never skip the NCERT solved examples given in the CBSE book of Class 5.

We suggest you bookmark this web page so that you can quickly reach our page and download our NCERT 5th Class Maths Solutions files very easily.

Vedantu’s NCERT Class 5 Maths Solutions Features

All the chapters and the questions are covered in the NCERT 5th Standard Maths Solutions book.

The solutions are provided in a step-by-step format so that students can better understand the concepts.

The questions are solved using the easiest method available.

Students can download the solutions in pdf format and refer to them offline.

All the solutions for Class 5 Maths are available for free and anyone can access them.

With Vedantu's NCERT 5th Class Maths Solutions, learning will become fun and easy. Students can download the solutions from our website and benefit from a fun learning experience. 

Benefits of Studying From NCERT Class 5 Maths Solutions

Studying from NCERT 5th Class Maths Solutions offers a wide range of benefits. It includes solutions to conceptual questions, MCQs, etc. Here are a few of the benefits that you will be able to enjoy by studying from Vedantu’s NCERT 5th Standard Maths Solutions:

Strengthen Your Base - NCERT 5th Class Maths Solutions have been developed and designed by experienced subject matter experts. You will get comprehensive solutions to questions from all the chapters given in the NCERT textbooks. Since you can use these to clear your fundamentals, they plan an important role in your exam preparation.

Get Accurate and Reliable Solutions - All the solutions provided by Vedantu have been created by subject matter experts. These are authentic and well-described solutions that can be used by students who have been misguided by wrong answers. 

Develop Your Skills - NCERT 5th Standard Maths Solutions includes well-explained solutions with exams that will help you clear your queries or doubts. By practising these solutions, you will get an idea of how you should write your answers in the exam. You will not only be able to solve the problems easily but save your preparation time as well.

Tips to Prepare for Your Class 5 Exams

Start at the Right Time So That You Have Enough Time to Prepare for Your Exam

Every student has a different learning capability. So, there is no fixed time before which all the students should start preparing for their exam. However, this doesn’t mean that there is not a common approach for exam preparation that you can follow. As per your capabilities, you need to start your preparation early enough so that you have enough time for revision.

Make a Timetable That Will Help You Prepare for Your Exam Better

If you don’t plan properly, you won’t be able to reach your target. So, if you want to prepare for your exam effectively, you must have a proper study timetable and make sure that you stick to it.

Dedicate Enough Time for Self-studying

Once you are done with school, you have to take some time out and devote yourself to studying. This way, you will be able to analyse the topics and practise the concepts that you have learned in school. You must have enough time to reach your study targets.

Adopt Best Study Habits 

In order to perform well in your exam, you need to have some study habits that will help you stand apart from your peers. This includes creating a timetable and sticking to it, being disciplined and punctual, balancing your academic and personal life. By adopting these good qualities, you will not only be prepared for your exam but any upcoming goals in your life as well.

Create a Strategy for More Complicated Concepts

It is common to start panicking while learning complicated topics. You will have to stay engulfed in your textbooks, which is never easy. So, in order to overcome this terror, you must have a different strategy. For example, you can use the NCERT 5th Class Maths Solutions to get a better understanding of the concept. You can use it as a reference guide for checking your answers and clearing your doubts.

Practice Questions From Previous Years

It is recommended that you solve as many question papers from previous years as you can find, as it helps you be prepared for the upcoming challenge. You should start doing this after you have finished revising the whole syllabus. It will help you track your preparation level and know your strong and weak points.

Solve Sample Papers Available Online

Apart from previous year’s question papers, you should also solve sample papers. Solving this will be a perfect way to start and end your exam preparation. At the start, it will help you understand your preparation level and what topics you should focus on more. In the end, it will help you practice writing the exam.

Take Regular Breaks

Do not study for long hours continuously. Every 50 to 60 minutes, you should take regular intervals. During this time, you should retrieve your energy and relax your brain so that you are prepared for your study session. It will keep your brain alert and focused.

Relax 

Stress, anxiety, and fear will not only hamper your preparation but affect your performance in the exam as well. So, instead of putting yourself through unnecessary stress, start your preparation with a relaxed mind. Remember that when you put in your best efforts, your result will be the best.

Write Appropriately in the Exam

It is important that your answer sheet reflects the hard work that you have been doing. Just getting the right answer is not enough. You also have to use the proper strategies and techniques for writing the exam. It will not only ensure that you are able to finish the exam on time but also get you full marks. In most cases, you will be allotted a reading time of 15 minutes before you can start writing the exam. Make the best use of this time.

CBSE Class 5 Maths Study Materials

The NCERT Maths Class 5 Solutions designed by Vedantu provide an invaluable resource for young learners to solidify their maths basics. These solutions are crafted to align with the NCERT syllabus , ensuring that students are well-prepared to meet their academic goals. The solutions cover all chapters and topics in the Class 5 Maths syllabus. Each topic is addressed with thorough explanations to reinforce understanding.

FAQs on NCERT Solutions For Class 5 Maths Free PDF Download 2024-25

1. I am an Average Student and get Very Low Marks in Maths. Can Vedantu’s CBSE Maths Class 5 Solutions Help me Anyhow?

To get good marks in your exam NCERT solutions are very essential for you. Through these solutions, you will not only be able to gain an in-depth knowledge of the subject, but also have a guide to cross-check your answers. Make sure that you prepare notes while studying as it will help you with revision before the exam.

2. How much I have to Pay for the Solutions of NCERT Class 5 Maths File Provided by Vedantu?

Dear student, You have to pay nothing for this. The team of Vedantu had made it available free of cost for all the students. You can download the chapter-wise NCERT 5th Standard Maths Solutions for free in pdf format. You can either visit the official website of Vedantu or download the app from playstore. You will have to create an account and after that, you will be able to download all the solutions in pdf format and study anywhere and at any time.

3. How do I prepare Maths for Class 5?

Maths can be difficult at times, but learning under experts can make it easier for the students. Vedantu with the help of the experts teaches all the basic concepts in a simplified manner. These solutions are created by highly experienced staff. Download the PDF Solutions of NCERT Class 5 Maths for free of cost to revise and practice on NCERT Solutions provided by Vedantu to ace the exams.

4. What is the syllabus of Maths Class 5?

Maths Class 5 consists of 14 chapters. Visit the Vedantu website to register for live online classes to learn the concepts from the comfort of the home. They strictly follow the CBSE curriculum so students need not worry about questions being out of the syllabus. You can also download the NCERT Solutions PDF provided for each chapter by the experts for free of cost. These solutions are written in simple language and are based on the latest CBSE guidelines. 

5. How do you simplify Maths Class 5?

The concepts can be understood when it is simplified. Vedantu experts help the students to grasp the concepts with live online classes and NCERT Solutions for them to practice. By practicing, the student will be able to apply the concepts in their exams. To make use of the PDF for free of cost, click here. Students can download the solutions and save them on their computers. They can refer to them anytime while preparing for the exams. 

6. How can NCERT Solutions help in exams?

NCERT Solutions are the best guide when it comes to all the subjects, especially maths. It can be used for the students to practice and revise the concepts. Vedantu ‘s NCERT Solutions are the best because experts hand-picked all the important problems and provided the answers so that the students can understand the concepts well. To get free access to the important questions, students need to download the PDF for free either on the official website of Vedantu or use the Vedantu app on their phones. 

7. Is standard 5 Maths easy?

Every subject is easy when you understand the concepts well. That is why Vedantu provides live online classes and NCERT Solutions for free to help the students from the comfort of the home. Visit the page NCERT Solutions for Class 5 Maths to get help from the experts to excel in Maths Class 5. These solutions are based on the latest syllabus and marking schemes, so they are 100% accurate. 

8. How can you help your child through Vedantu’s NCERT Class 5 Maths Solutions?

Here is how you, as a parent, can use the Vedantu’s NCERT 5th Standard Maths Solutions for supporting your child’s academic growth:

Vedantu’s NCERT 5th Standard Maths Solutions are a knowledge source for your child as well as you. For example, if you are evaluating your child’s work and are not sure about the answer, you can refer to these solutions.

You can download these solutions, print them, and give them to your child. You have to make sure that your child doesn’t use it as a cheat sheet. Instead, you should make them use the solutions as a knowledge resource that they can turn to when they have confusion.

9. Can I download NCERT Class 5 Maths solutions?

Yes, all the chapter-wise solutions for NCERT Class 5 Maths are available for download in PDF format.

10. Can Vedantu’s NCERT 5th Class Maths Solutions offer step-by-step explanations?

Almost all the boards and schools have a step-by-step marking system which means that you are given marks for each correct step that you attempt in a math problem. By using these solutions, you will be able to learn the best way in which you should answer a question in order to score good marks. With the help of these solutions, you will be able to understand the perfect method for solving any question in a step-by-step manner.

11. How many chapters are there in Class 5 Maths?

There are a total of 14 chapters in the Class 5 Maths textbook.

12. Where can I find chapter-wise NCERT 5th Standard Maths Solutions and why should I use them?

You will be able to find the chapter wise solution for Class 5 Maths on Vedantu’s website. Having chapter-wise solutions will ensure that you have an easy way of organizing them and have a clear understanding of all the concepts.

13. These NCERT  Class 5 Maths Solutions are useful for which board?

Here are the different boards for which you can use the class 5 solutions:

BIEAP – Andhra Pradesh Board of Intermediate Education

BSEAP – Andhra Pradesh Board of Secondary Education

BSEB – Bihar School Examination Board

BSEH – Haryana Board of School Education (HBSE)

CBSE – Central Board of Secondary Education

CGBSE – Chhattisgarh Board of Secondary Education

GSEB – Gujarat Secondary and Higher Secondary Education Board

HPBOSE – Himachal Pradesh Board of School Education

ICSE – Indian School Certificate Examinations

ISC – Indian School Certificate

JKBOSE – Jammu and Kashmir State Board of School Education

MPBSE – Madhya Pradesh Board of Secondary Education

MSBSHSE – Maharashtra State Board Of Secondary and Higher Secondary Education

NIOS – National Institute of Open Schooling

PSEB – Punjab School Education Board

RBSE – Board of Secondary Education Rajasthan

UP Board – Board of High School and Intermediate Education Uttar Pradesh

WBBSE – West Bengal Board of Secondary Education

WBCHSE – West Bengal Council of Higher Secondary Education.

14. Is it important to solve all the NCERT questions that are given in the chapter?

Yes, if you want to score well in your exam, you need to go through the NCERT textbook thoroughly. You need to solve each question and the example given in the book. Every question in your exam will be directly or indirectly from the NCERT textbooks. You can use Vedantu's NCERT 5th Class Maths Solutions as they contain answers to all the questions. It contains step-by-step solutions for all the questions given in the NCERT book of Class 5 Maths.

15. What is the hardest math question in 5th grade?

The hardest maths question in 5th grade can vary depending on the student's strengths and weaknesses. Generally, problems involving multistep operations, complex word problems, or advanced concepts like fractions, decimals, and volume calculations can be challenging. For instance, a word problem requiring the application of several arithmetic operations to find a solution could be considered one of the more difficult questions.

16. What is knowledge of math class 5?

Knowledge of maths in Class 5 includes a solid understanding of basic arithmetic operations (addition, subtraction, multiplication, division), fractions, decimals, measurement (length, weight, volume), geometry (shapes, symmetry). Students also learn to solve word problems and apply mathematical concepts to real-life situations.

17. What math is used in 5th grade?

In 5th grade, students use maths that include:

Basic arithmetic (addition, subtraction, multiplication, division)

Fractions and decimals

Measurement (converting units, understanding volume and area)

Geometry (properties of shapes, symmetry, basic constructions)

Problem-solving with multistep word problems

18. What are number concepts in grade 5?

Number concepts in grade 5 involve:

Understanding and working with large numbers

Place value and number operations

Prime and composite numbers

Factors and multiples

19. Is Grade 5 in Maths good?

Grade 5 in Maths is considered crucial as it builds a strong foundation for higher-level maths concepts. A good grasp of 5th-grade maths helps students develop critical thinking and problem-solving skills. Mastery of these topics ensures readiness for more advanced topics in middle school and beyond.

NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12

NCERT Solutions for Class 5 Maths Math Magic

NCERT Solutions for Class 5 Maths Math Magic : Class 5 in many is considered as the base for many subjects. This is the standard in which many topics are introduced for the first time. These topics will be useful in advanced classes later on. One of this subject that requires a student to have a strong base is maths. Thus, we are bringing CBSE 5th class maths textbook solutions of math magic, that can help students find the solutions to the exercises and thereby have a better understanding of the subject.

NCERT Solutions for Class 5 Maths Math Magic Workbook Pdf, Worksheets, Notes, Questions and Answers.

• 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 Area and Its Boundary
• Chapter 12 Smart Charts
• Chapter 13 Ways To Multiply And Divide
• Chapter 14 How Big? How Heavy?

NCERT Solutions for Class 5

In CBSE class 5 maths textbook, students will basic maths topics like factors, large numbers, HCF and LCM, fractions, divisibility tests, decimals, averages, profit and loss, and many more. Thus, NCERT 5th class maths book solutions becomes a very important article for the students who are seeking help on these topics. In this article, we are helping you with the overview of each chapter given in the NCERT textbook.

Class 5 Maths Chapter 1 The Fish Tale

Some of the major topics that students are going to study in this chapter are calculating the distance traveled by boat with the help of distance and calculating the money boats that are made by selling prawns and fish. Furthermore, students will learn about the multiplication rule of calculating the overall fishes that are caught.

Class 5 Maths Chapter 2 Shapes and Angles

In this chapter, various angles and shapes are explained in a very interactive manner. This will be explained to students using 3D models, interesting pictures, videos, and images. Along with students will be taught how to calculate the angle between the hand and the arm in the clock? What is the angle formed between the abdomen and a thigh? What will be the angle made by the hands of a clock when the time at 1040 pm? These are the types of questions that students will be able to solve after understanding this chapter.

Class 5 Maths Chapter 3 How Many Squares

This chapter will give you a reference about the rectangles. There are various types of examples and solutions given in this chapter. Which of the given rectangle has the longest perimeter? When dots are given, how many rectangles can be formed? These are some of the questions that will be answered in this chapter.

Class 5 Maths Chapter 4 Parts and Whole

There are different types of examples related to parts and whole are given in this chapter. Some of the examples are as follows, Raj had chocolate. Of which he gave 1/3 rd to Soham, 1/4th to Raju, and 1/6th to Shrey. Raj ate the remaining chocolate. Find the number of pieces that each person got. The other example is the various shapes that are used for the area models. Furthermore, you will be asked to mark some squares in a grid. Then you will be asked about the part that you have marked. Also, the final part that remains marked needs to be answered.

Class 5 Maths Chapter 5 Does it Look the Same?

NCERT solutions for class 5 maths is designed in such a way that patterns and shapes are discussed in a way which students can understand. The solutions given here are step by step guide along with the tips and tricks that make the learning process easier. There are many different concepts that are covered in this chapter. Some of them are preparing various types of patterns and then identifying them. Changing the way and position of alphabet figures and also comparing them. Learning different shapes of various patterns given in the chapter.

Class 5 Maths Chapter 6 Multiple, I’ll be Your Factor

In this chapter, students will learn about jumping and skipping 2 or 3 numbers and thus forming a series using it. Figuring out the numbers that are divided by 2, 3, or 4. Also, you will be explained various multiples of a number given in the sequence. Furthermore, you will be asked to find out the smallest common factors and much more.

Class 5 Maths Chapter 7 Can You See The Pattern

Chapter 7 of the NCERT textbook comprises of can you see the pattern. This chapter helps students in understanding various shapes and patterns. The solutions given in the chapter 7 of class 5 maths contains examples like filling the square using only the numbers from 46 to 54. Also, the rule is that the total for each line should not be more than 120.

Class 5 Maths Chapter 8 Mapping Your Way

NCERT solutions for class 5 maths has different types of many problems and examples that show various types of questions that can be asked in the exam. In this chapter, some of the major questions that can be asked find the distance of the landmark that is more closer to river or building, in comparison with other find out the area of an object when it’s size is reduced, identify the shape given in the figure and picture and how many sides are there, etc. These are some of the examples that you will get to solve in this chapter.

Class 5 Maths Chapter 9 Boxes and Sketches

This chapter in the NCERT textbook is explained using 3D images, animated videos, and models. Thus, it makes sure that kids can understand the concepts very easily. Also, there are assignments in chapter 9 along with the worksheets for practice. In this chapter, there are many different examples which can be solved by students for practice. The topics discussed in this topic includes finding the shape of boxes using the figure of an open box. You need to figure out which figure can be used to form a box.

Class 5 Maths Chapter 10 Tenths and Hundredths

This chapter 10 of NCERT textbook helps students in understanding and comparing the two figures with given examples. In this chapter, students will find questions related to measuring the length of the tail in the animals. There are examples in questions such as the line that is longest among the given two and length of a 100 rupee note that can help students in understanding this chapter better.

Class 5 Maths Chapter 11 Area and its Boundary

This chapter deals area and boundary, calculating the various areas of squares and rectangles, then the difference between area and length and how to measure these. In this chapter, students are often encouraged to use the basic formulas to find the problems and their solutions. There are also other techniques like multiplying and counting tiles which are also discussed in this chapter. Some of the examples in this chapter that are discussed are what is perimeter, find the area of different rectangles, why does other person have different sizes of belts, etc.

Class 5 Maths Chapter 12 Smart Charts

Diagrams and charts are generally used to express the data visually. These are very easy to represent and also has a lasting impression on students. The information here also is processed faster and quicker. In this chapter, the students are exposed to the information that can easily represent in the form of tables. These are also used to represent the tables and solve problems using that and thus deduce various conclusions.

Class 5 Maths Chapter 13 Ways to Divide and Multiply

This chapter specifically deals with various concepts of division and multiplication. These are two very important concepts from the perspectives of academic as well as non-academic. Furthermore, the questions given in this chapter are moreover related to real-life scenarios.

Class 5 Maths Chapter 14 How Big How Heavy

In this chapter, students will be taught different methods and units for weighing and measurements. There are different questions related volumes and areas in this chapter. The questions will be moreover related to different concepts that depict real-life situations.

NCERT solutions for class 5 maths Math Magic textbook can be a handy tool for students. They can go through the article or download the PDF and solve each chapter one by one.

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5th Grade Math Learning

Here are the standards for the end of the year for 5th Grade.

• Use parentheses, or brackets, in numerical expressions and equations.
• Evaluate expressions with parentheses.
• Use and understand place value to thousandths (3 decimal places)
• Read, write and compare numbers with up to 3dp.
• Use place value to round decimals to any place.
• Multiply multi-digit whole numbers using the standard algorithm.
• Divide whole numbers with up to 4 digits by divisors up to 2 digits.
• Add, subtract, multiply, and divide decimals to hundredths
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• Understand that (a/b) is the same as (a ÷ b).
• Solve word problems involving division of whole numbers with fraction (or mixed number) answers.
• Multiply a fraction, or a whole number, by a fraction.
• Find the area of rectangles with fraction side-lengths.
• Divide a whole number by a unit fraction and a unit fraction by a (non-zero) whole number.
• Convert like measurement units within a given measurement system.
• Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8).
• Use operations on fractions for this grade to solve problems involving information presented in line plots
• Understand volume and how it can be measured using cubes.
• Measure volume by counting unit cubes.
• Apply the formula V = l x w x h to calculate volumes of right rectangular prisms.
• Understand and use coordinates.
• Graph points in the first quadrant of the coordinate plane
• Classify two-dimensional figures in a hierarchy based on properties

5th Grade Math Worksheets

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Here you will find a range of Free Printable 5th Grade Number Worksheets.

Using these 5th grade math worksheets will help your child to:

• use place value with numbers up to 10 million;
• use place value with up to 3 decimal places;
• understand how to use exponents (powers) of a number;
• understand and use parentheses (brackets);
• understand and use multiples and factors;
• extend their knowledge of prime and composite (non-prime) numbers up to 100;
• know and be able to use the PEMDAS (or PEDMAS) rule.
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The sheets in this section involve negative numbers and lists of decimals to 3 decimal places.

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5th Grade Mental Math Zone

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Addition Worksheets 5th Grade

• add decimals including tenths and hundredths mentally;
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• Subtracting Decimals Worksheets (mental)
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Multiplication Worksheets 5th Grade

• extend their knowlege of multiplication to decimals;
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• multiply a range of decimals with up to 2 decimal places (2dp) by a whole number;
• multiply different money amounts by a whole number.
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Multiplication Word Problems

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Division Worksheets 5th Grade

Using these 5th grade math worksheets will help your child learn to:

• divide any whole number up to 10000 by a two digit number;
• express any division with a remainder in the form of a mixed number (a number with a fraction part).
• Long Division Worksheets (whole numbers)
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All 4 Operations Worksheets

Often we want to give students a whole range of worksheets on a range of operations to see which ones they still need to practice.

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• compare and order fractions;
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• know how to find missing angles in a range of situations;
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• write and plot coordinates in the first quadrant.
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Class 5 Mathematics Assignment Answer 2021 pdf download (Home Work)

Primary School Class 5 Mathematics Assignment Answer 2021 pdf download (Home Work) has been published today on my educations in bd com website. Here we are regularly given the solution of 2021 assignment questions from first class to fifth class. So you can download questions and answers pictures and PDF files of your assignment from our website. For your convenience, we have published the answer to your class five assignment here today.

Your educational institution has been closed for a long time due to coronavirus. As the situation in Corona is not normal yet, no decision has been made to open your educational institution yet. Therefore, considering the study of each student, this assignment has been organized by the Ministry of Education.

Students are not able to go to school for a long time and their studies are being disrupted. So considering each student, the assignment has been arranged and the weekly assignment is published on the official website of the Department of Secondary and Higher Education. You have to complete the assignment accordingly.

৫ম শ্রেণির পাঠ পরিকল্পনা ও বাড়ির কাজ ২০২১ class 5 assignment homework barir kaj PDF Download 2021

Assignment 2021 from first class to fifth class, This post is basically for those students who are looking for questions and answers of Assignment 2021 Assignment from 1st class to 5th class. Because from our website you can easily download the questions and answers of your assignment in the form of pictures and PDF files.

The first week’s fifth grade assignment was published on March 17, 2021. And since you have no chance of opening an educational institution yet. Therefore, in 2021, a total of 21 weeks of assignments were published. The questions and answers of each assignment will be published on our website.

Are you looking for weekly assignment questions and answers? However, I will say that our website is for you because our website regularly publishes questions and answers of weekly assignments.

9th week fifth class assignment 2021 The third week fifth grade assignment will be published on April 1, 2021. So you can download this assignment from our website or from the website of the Board of Education office. Matters, agricultural education and home science are the topics in this week’s assignment.

For your convenience, the questions and answers of each third week assignment have been given very nicely on our website today. So if you want you can download our assignment questions and answers on all the topics of the third week of fifth grade from here.

We would like to say that the assignment in the third week should be submitted to your educational institution by April 7, 2021. So to complete this assignment you must need the correct answer.

Answer to Bangla Assignment Question Answer to Bangla Assignment Question The answer to the science assignment question Answer the English assignment question Agricultural education assignment solution Home Science Assignment Answer Bangladesh and World Identity Assignment Solution Answer the math assignment question Islam religion and moral education assignment solution Hinduism and Moral Education Assignment Answer Arts and Crafts Assignment Solution If you are looking for the answer to the Bangla Assignment question, I would say that you are in the right place because we have published the answers of the first week’s Bangla Assignment here. So you can download the answer to this assignment from here now and submit it to your educational institution within the stipulated time.

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Welcome to Class 5 Math course

Unit 1: addition and subtraction, unit 2: multiplication and division, unit 3: fractions, unit 4: angles and circles, unit 5: multiples and factors, unit 6: decimal fractions, unit 7: perimeter and area, unit 8: pictographs.

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Assignments For Class 5

Assignments for Class 5 have been developed for Standard 5 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 5 from our website as we have provided all topic wise assignments free in PDF format which can be downloaded easily. Students are recommended to do these assignments daily by taking printouts and going through the questions and answers for Grade 5. You should try to do these test assignments on a daily basis so that you are able to understand the concepts and details of each chapter in your book and get good marks in class 5 exams.

Some advantages of Free Assignments for Class 5

• Solving Assignments for Class 5 helps to further enhance understanding of the topics given in your text book which will help you to get better marks
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• You will be able to understand the type of questions which are expected in your class test
• You will be able to revise all topics given in the ebook for Class 5 as all questions have been provided in the question banks
• NCERT Class 5 Workbooks will surely help you to make your concepts stronger and better than anyone else in your class.
• Parents will be able to take print out of the assignments and give to their child easily.

All free Printable practice assignments are in PDF single lick download format and have been prepared by Class 5 teachers after full study of all topics which have been given in each chapter so that the students are able to take complete benefit from the worksheets. The Chapter wise question bank and revision assignments can be accessed free and anywhere. Go ahead and click on the links above to download free CBSE Class 5 Assignments PDF.

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You can get free PDF downloadable assignments for Grade 5 from our website which has been developed by teachers after doing extensive research in each topic.

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Linear programming class xii chapter 12, math assignment class x ch-5 | arithmetic progression.

MATHEMATICS ASSIGNMENT   [CHAPTER 5]

Extra questions of chapter 5 class 10 Arithmetic Progression with answer and  hints to the difficult questions. Important and useful math assignment for the students of class 10

For better results

• Students should learn all the  basic points of  Arithmetic Progression  
• Student should revise N C E R T book thoroughly with examples.
• Now revise this assignment. This assignment integrate the knowledge of the students.

CLASS    10 TH  Arithmetic Progression (AP)

Ans [20 th  term]

Ans  [9 th  term]

Ans [10 terms]  

Ans  [8,6,4,2,0.........]

Ans [k = 15/2]  

Ans  [-4]   

Ans  [69]

Ans [23 rd  ]  

Ans [4,10,16,22...]  

Ans [74 th ]

Ans [ 71 st  term]

Ans  [53 rd  ]   

Ans [a = 9, d = - 3]  

Ans [2,7,12......]

  Question 16:  If Sn  = 5n 2 +3n. Find its nth term.                                                                               

 Ans [10n-2]

 Ans [8n-7]

  Ans  [4n + 3]

 Ans [130]

Question 20:  The 6 th  term of an AP is -10 and 10 th  term is -26. Find the 15 th  term of the AP.

Question 21: The sum of the first n terms of an AP. Is  3n 2  + 6n. Find the nth term of this A.P.    

Question 22: If tn = 4n-5. Then find the sum of first 25 terms.      

 Ans [1175]

Question 23: If tn = 2-3n. Then find the sum of first 25 terms. 

Question 24:  Find the sum of all two digit no. Which are divisible by 4. 

Question 25:  Find the no. Of terms of an AP: 54,51,48....... so that their sum is  513.          

Ans [18 or 19]

Question 26:  Find the sum of all natural no. Between 100 & 300 which are divisible by 6        

Question 27:  Find the sum of all natural no. Between 200 & 300 which are divisible by 4        

Question 28:  The 5 th  term of  an AP is zero. Show that its 33 rd  term is 4 times its 12 th  term.

Question 29:  If 8 th  term of an AP is zero. Prove that its 38 th  term is triple its 18 th  term.

Question 30:  If m times the m th  term of an AP is equal to the n times of the n th  term then show  that  its    (m + n) th  is zero.

Question 31:  If 7 time the 7 th  term of an Ap is equal to the 11 times  the 11 th  term. Show that the 18 th  term of the AP is zero.

Question 32:  Find the sum of 11 terms of an AP whose middle term is 30.                              

Question 33: Find the sum of all integers between 50 & 500 which are divisible by 7             

Ans [17696]

Question 34:  The sum of first 15 terms of an AP is 105 and the sum of next 15 terms is 780. Find first   three terms of an AP.                                                                                                           

Ans [-14,-11,-8]

Question 35:  Find the common difference of an AP whose 1 st  term is 100 and the sum of whose first 6 terms  is 5 times  the sum of next 6 terms                                                                                   

Question 36:  Find the no. Of  natural no. Which lie between 101 and 304 and are divisible by  3 or  5. Also find their sum.                                                                                                      

 Ans [94 terms , sum= 19035]

Question 37:  The ratio of the 7 th  to the 3 rd  term of an AP is 12 : 5 Find t 13   :  t 14                               

  Ans   [90 : 97]

Question 38:

Find the sum of all 3 digit no. Which leaves remainder 3 when divided by 5      

Ans [99090]

Question 39:

The sum of 4 terms in an AP is 42. If product of extreme terms is 90. Find no.  

Ans [6,9,12,15]

Question 40: Sum of 3 terms of an AP is  21 and their product is 231. Find the numbers.        

Ans [3,7,11]

Question The first term of an A.P. is 5, the last term is 45 and the sum of all the terms is 400. Find the number of terms and the common difference of the A.P. Answer: n=16, d=8/3 Question The ratio of the 10 th term to its 30 th term of an A.P. is 1:3 and the sum of its first 6 terms is 42. Find the first term and the common difference of A.P. Answer: a = 2 and d = 2 Question The sum of first and 8 th terms of an A.P. is 32 and their product is 60. Find the first term and common difference of the A.P. Hence also find the sum of its first 20 terms. Answer a = 2 or 30, d = 4 or -4, Sn = 800 or -160 Question An A.P. of 40 terms, the sum of first 9 terms is 153 and the sum of last 6 terms is 687. Determine the first term and common difference of A.P. Also, find the sum of all the terms of the A.P. Answer: a =5, d = 3, S 40 = 2540 Question In an A.P., the sum of three consecutive terms is 24 and the sum of their aquares is 194. Find the numbers. Answer: Numbers are 7, 8, 9 or 9, 8, 7

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