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CBSE Worksheets for Class 1 Maths

CBSE Worksheets for Class 1 Maths: One of the best teaching strategies employed in most classrooms today is Worksheets. Maths Worksheets For Class 1 CBSE Pdf for students has been used by teachers & students to develop logical, lingual, analytical, and problem-solving capabilities. So in order to help you with that, we at WorksheetsBuddy have come up with Kendriya Vidyalaya Class 1 Maths Worksheets for the students of Class 1. All our CBSE NCERT Maths Worksheets For Class 1 CBSE are designed for helping students to understand various topics, practice skills and improve their subject knowledge which in turn helps students to improve their academic performance. These chapter wise test papers for Class 1 Maths will be useful to test your conceptual understanding.

CBSE Class 1 Maths Worksheets PDF

All the Class 1 CBSE Maths Worksheets provided in this page are provided for free which can be downloaded by students, teachers as well as by parents. We have covered all the Class 1 Maths important questions and answers in the worksheets which are included in CBSE NCERT Syllabus. Just click on the following link and download the Class 1 CBSE Maths Worksheets Free Download. CBSE Worksheets for Class 1 Math Magic can also use like assignments for Class 1 Maths students.

• Worksheet for Class 1 Maths Chapter 1 Assignment
• Worksheet for Class 1 Maths Chapter 2 Assignment 1
• Worksheet for Class 1 Maths Chapter 2 Assignment 2
• Worksheet for Class 1 Maths Chapter 3 Assignment
• Worksheet for Class 1 Maths Chapter 4 Assignment
• Worksheet for Class 1 Maths Chapter 5 Assignment
• Worksheet for Class 1 Maths Chapter 6 Assignment
• Worksheet for Class 1 Maths Chapter 7 Assignment
• Worksheet for Class 1 Maths Chapter 8 Assignment
• Worksheet for Class 1 Maths Chapter 9 Assignment
• Worksheet for Class 1 Maths Chapter 10 Assignment
• Worksheet for Class 1 Maths Chapter 11 Assignment
• Worksheet for Class 1 Maths Chapter 12 Assignment
• Worksheet for Class 1 Maths Chapter 13 Assignment
• Worksheet for Class 1 Maths Numbers upto 100 Assignment
• Worksheet for Class 1 Maths Addition and Subraction Assignment
• Worksheet for Class 1 Maths Shapes Assignment
• Worksheet for Class 1 Maths Shapes and Space Assigment 1
• Worksheet for Class 1 Maths Shapes and Space Assigment 2
• Worksheet for Class 1 Maths Shapes and Space Assigment 3
• Worksheet for Class 1 Maths Shapes and Space Assigment 4
• Worksheet for Class 1 Maths Numbers 1 to 9 Assignment 1
• Worksheet for Class 1 Maths Numbers 1 to 9 Assignment 2
• Worksheet for Class 1 Maths Numbers 1 to 9 Assignment 3
• Worksheet for Class 1 Maths Numbers 1 to 9 Assignment 4
• Worksheet for Class 1 Maths Addition Assigment 1
• Worksheet for Class 1 Maths Addition Assigment 2
• Worksheet for Class 1 Maths Addition Assigment 3
• Worksheet for Class 1 Maths Addition Assigment 4
• Worksheet for Class 1 Maths Subtraction Assigment 1
• Worksheet for Class 1 Maths Subtraction Assigment 2
• Worksheet for Class 1 Maths Subtraction Assigment 3
• Worksheet for Class 1 Maths Numbers 10 to 20 Assignment 1
• Worksheet for Class 1 Maths Numbers 10 to 20 Assignment 2
• Worksheet for Class 1 Maths Numbers 10 to 20 Assignment 3
• Worksheet for Class 1 Maths Numbers 10 to 20 Assignment 4
• Worksheet for Class 1 Maths Time Assignment 1
• Worksheet for Class 1 Maths Time Assignment 2
• Worksheet for Class 1 Maths Time Assignment 3
• Worksheet for Class 1 Maths Time Assignment 4
• Worksheet for Class 1 Maths Measurement Assignment 1
• Worksheet for Class 1 Maths Measurement Assignment 2
• Worksheet for Class 1 Maths Measurement Assignment 3
• Worksheet for Class 1 Maths Measurement Assignment 4
• Worksheet for Class 1 Maths Numbers 21 to 50 Assignment 1
• Worksheet for Class 1 Maths Numbers 21 to 50 Assignment 2
• Worksheet for Class 1 Maths Numbers 21 to 50 Assignment 3
• Worksheet for Class 1 Maths Data Handling Assignment 1
• Worksheet for Class 1 Maths Data Handling Assignment 2
• Worksheet for Class 1 Maths Data Handling Assignment 3
• Worksheet for Class 1 Maths Data Handling Assignment 4
• Worksheet for Class 1 Maths Patterns Assignment 1
• Worksheet for Class 1 Maths Patterns Assignment 2
• Worksheet for Class 1 Maths Patterns Assignment 3
• Worksheet for Class 1 Maths Patterns Assignment 4
• Worksheet for Class 1 Maths Numbers 51 to 100 Assignment 1
• Worksheet for Class 1 Maths Numbers 51 to 100 Assignment 2
• Worksheet for Class 1 Maths Numbers 51 to 100 Assignment 3
• Worksheet for Class 1 Maths Numbers 51 to 100 Assignment 4
• Worksheet for Grade 1 Maths Numbers 51 to 100 Assignment 1
• Worksheet for Grade 1 Maths Numbers 51 to 100 Assignment 2
• Worksheet for Grade 1 Maths Numbers 51 to 100 Assignment 3
• Worksheet for Grade 1 Maths Numbers 51 to 100 Assignment 4
• Worksheet for Grade 1 Maths How Many Assignment 1
• Worksheet for Grade 1 Maths How Many Assignment 2
• Worksheet for Grade 1 Maths How Many Assignment 3
• Worksheet for Grade 1 Maths How Many Assignment 4
• Worksheet for Grade 1 Maths How Many Assignment 5
• Worksheet for Class 1 Maths Practice Assignment 1
• Worksheet for Class 1 Maths Practice Assignment 2
• Worksheet for Class 1 Maths Practice Assignment 3
• Worksheet for Class 1 Maths Practice Assignment 4
• Worksheet for Class 1 Maths Addition and Subtraction Assignment 1
• Worksheet for Class 1 Maths Addition and Subtraction Assignment 2
• Worksheet for Class 1 Maths Story Sums Assignment
• Worksheet for Class 1 Maths Expanded form Assignment
• Worksheet for Class 1 Maths Ascending Assignment
• Worksheet for Class 1 Maths Measurement Assignment
• Worksheet for Class 1 Maths Practice Workhsheet
• Worksheet for Class 1 Maths Expanded Form
• Worksheets for Grade 1 Maths Numbers 0 to 100 Assignment
• Worksheets for Grade 1 Maths Counting 5S Assignment
• Worksheets for Grade 1 Maths Addition Assignment 1
• Worksheets for Grade 1 Maths Addition Assignment 2
• Worksheets for Grade 1 Maths Missing Numbers Assignment
• Worksheets for Grade 1 Sequence of Numbers Assignment
• Class 1 Maths Practice Worksheet
• Worksheets for Grade 1 After Before Assignment
• Worksheets for Grade 1 Subtraction Assignment
• Worksheets for Grade 1 Counting Together Assignment
• Worksheets for Grade 1 Maths Practice Assignment
• Worksheets for Grade 1 Expanded Notation Assignment
• Worksheets for Grade 1 Tens and Ones Assignment
• Worksheet for Class 1 Expanded Notation Assignment
• Worksheets for Grade 1 Missing Numbers Assignment
• Worksheets for Grade 1 Increasing Order Assignment
• Worksheets for Grade 1 Count Assignment 1
• Worksheets for Grade 1 Count Assignment 2
• Class 1 Worksheet for Maths Assignment 1
• Class 1 Worksheet for Maths Assignment 2
• Worksheets for Grade 1 Babys Day Out Assignment
• Worksheet for Class 1 Maths Assignment 1
• Worksheet for Class 1 Maths Assignment 2
• Worksheet for Class 1 Maths Assignment 3
• Worksheet for Class 1 Maths Assignment 4
• Worksheet for Class 1 Maths Assignment 5
• Worksheet for Class 1 Maths Assignment 6
• Worksheet for Class 1 Maths Assignment 7
• Worksheet for Class 1 Maths Assignment 8
• Worksheet for Class 1 Maths Assignment 9
• Worksheet for Class 1 Maths Assignment 10
• Worksheet for Class 1 Maths Assignment 11
• Worksheet for Class 1 Maths Assignment 12
• Worksheet for Class 1 Maths Assignment 13
• Worksheet for Class 1 Maths Assignment 14
• Worksheet for Class 1 Maths Assignment 15
• Worksheet for Class 1 Maths Assignment 16
• Worksheet for Class 1 Maths Assignment 17
• Worksheet for Class 1 Maths Assignment 18

Advantages of CBSE Class 1 Maths Worksheets

• By practising NCERT CBSE Class 1 Maths Worksheet , students can improve their problem solving skills.
• Helps to develop the subject knowledge in a simple, fun and interactive way.
• No need for tuition or attend extra classes if students practise on worksheets daily.
• Working on CBSE worksheets are time-saving.
• Helps students to promote hands-on learning.
• One of the helpful resources used in classroom revision.
• CBSE Class 1 Maths Workbook Helps to improve subject-knowledge.
• CBSE Class 1 Math Magic Worksheets encourages classroom activities.

Worksheets of CBSE Class 1 Maths are devised by experts of WorksheetsBuddy experts who have great experience and expertise in teaching Maths. So practising these worksheets will promote students problem-solving skills and subject knowledge in an interactive method. Students can also download CBSE Class 1 Maths Chapter wise question bank pdf and access it anytime, anywhere for free. Browse further to download free CBSE Class 1 Maths Worksheets PDF . Now that you are provided all the necessary information regarding CBSE Class 1 Maths Worksheet and we hope this detailed article is helpful. So Students who are preparing for the exams must need to have great solving skills. And in order to have these skills, one must practice enough of Class 1 Math Magic revision worksheets . And more importantly, students should need to follow through the worksheets after completing their syllabus.  Working on CBSE Class 1 Maths Worksheets will be a great help to secure good marks in the examination. So start working on Class 1 Math Magic Worksheets to secure good score.

CBSE Worksheets for Class 1

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First Grade Math Worksheets

Free grade 1 math worksheets.

These printable 1st grade math worksheets help students master basic math skills .  The initial focus is on numbers and counting followed by arithmetic and concepts related to fractions, time, money, measurement and geometry.  Simple word problems review all these concepts.

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Number Charts & Counting

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Base 10 Blocks

Counting Money

Telling Time

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Assignments For Class 1 Mathematics

Assignments for Class 1 Mathematics have been developed for Standard 1 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 1 Mathematics 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 1 Mathematics. 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 Mathematics book and get good marks in class 1 exams.

Assignments for Class 1 Mathematics as per CBSE NCERT pattern

All students studying in Grade 1 Mathematics should download the assignments provided here and use them for their daily routine practice. This will help them to get better grades in Mathematics exam for standard 1. We have made sure that all topics given in your textbook for Mathematics which is suggested in Class 1 have been covered ad we have made assignments and test papers for all topics which your teacher has been teaching in your class. All chapter wise assignments have been made by our teachers after full research of each important topic in the textbooks so that you have enough questions and their solutions to help them practice so that they are able to get full practice and understanding of all important topics. Our teachers at https://www.assignmentsbag.com have made sure that all test papers have been designed as per CBSE, NCERT and KVS syllabus and examination pattern. These question banks have been recommended in various schools and have supported many students to practice and further enhance their scores in school and have also assisted them to appear in other school level tests and examinations. Its easy to take print of thee assignments as all are available in PDF format.

Some advantages of Free Assignments for Class 1 Mathematics

• Solving Assignments for Mathematics Class 1 helps to further enhance understanding of the topics given in your text book which will help you to get better marks
• By solving one assignments given in your class by Mathematics teacher for class 1 will help you to keep in touch with the topic thus reducing dependence on last minute studies
• You will be able to understand the type of questions which are expected in your Mathematics class test
• You will be able to revise all topics given in the ebook for Class 1 Mathematics as all questions have been provided in the question banks
• NCERT Class 1 Mathematics 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 1 Mathematics 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 1 Mathematics Assignments PDF.

You can download free assignments for class 1 Mathematics from https://www.assignmentsbag.com

You can get free PDF downloadable assignments for Grade 1 Mathematics from our website which has been developed by teachers after doing extensive research in each topic.

On our website we have provided assignments for all subjects in Grade 1, all topic wise test sheets have been provided in a logical manner so that you can scroll through the topics and download the worksheet that you want.

You can easily get question banks, topic wise notes and questions and other useful study material from https://www.assignmentsbag.com without any charge

Yes all test papers for Mathematics Class 1 are available for free, no charge has been put so that the students can benefit from it. And offcourse all is available for download in PDF format and with a single click you can download all assignments.

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Assignments Class 1 Mathematics Pdf Download

Students can refer to Assignments for Class 1 Mathematics available for download in Pdf. We have given below links to subject-wise free printable Assignments for Mathematics Class 1 which you can download easily. All assignments have a collection of questions and answers designed for all topics given in your latest NCERT Books for Class 1 Mathematics for the current academic session. All Assignments for Mathematics Grade 1 have been designed by expert faculty members and have been designed based on the type of questions asked in standard 1 class tests and exams. All Free printable Assignments for NCERT CBSE Class 1, practice worksheets, and question banks have been designed to help you understand all concepts properly. Practicing questions given in CBSE NCERT printable assignments for Class 1 with solutions and answers will help you to further improve your understanding. Our faculty have used the latest syllabus for Class 1. You can click on the links below to download all Pdf assignments for class 1 for free. You can get the best collection of Kendriya Vidyalaya Class 1 Mathematics assignments and questions workbooks below.

Class 1 Mathematics Assignments Pdf Download

CBSE NCERT KVS Assignments for Mathematics Class 1 have been provided below covering all chapters given in your CBSE NCERT books. We have provided below a good collection of assignments in Pdf for Mathematics standard 1th covering Class 1 questions and answers for Mathematics. These practice test papers and workbooks with question banks for Class 1 Mathematics Pdf Download and free CBSE Assignments for Class 1 are really beneficial for you and will support in preparing for class tests and exams. Standard 1th students can download in Pdf by clicking on the links below.

Subjectwise Assignments for Class 1 Mathematics

Benefits of Solving Class 1 Mathematics Assignments

• The best collection of Grade 1 assignments for Mathematics have been provided below which will help you in getting better marks in class tests and exams.
• The solved question for Class 1 Mathematics will help you to gain more confidence to attempt all types of problems in exams
• Latest NCERT Books for Class 1 Mathematics have been referred to for designing these assignments
• We have provided step by step solutions for all questions in the Class 1 assignments so that you can understand the solutions in detail.
• We have provided single click download links to all chapterwise worksheets and assignments in Pdf.
• Class 1 practice question banks will support to enhance subject knowledge and therefore help to get better marks in exam

FAQs by Mathematics Students in Class 1

At https://www.ncertbooksolutions.com is the best website that has the biggest collection of free printable assignments for Class 1 Mathematics.

We provide here Standard 1 subject-wise assignments which can be easily downloaded in Pdf format for free. Our teachers have provided these Grade 1 Mathematics test sheets for Mathematics given in your books.

You can click on the links above and get assignments for Mathematics in Grade 1, all chapters and topic-wise question banks with solutions have been provided here. You can click on the links to download in Pdf.

We have provided here subject-wise Grade 1 Mathematics question banks, revision notes and questions for all difficult topics, and other study material. You can download it all without any charge by clicking on the links provided above.

We have provided the best quality question bank for Class 1 for Mathematics available for Pdf Download. You can download them all and use them offline without the internet.

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• CBSE Class 1 Maths

CBSE Class 1 Maths Worksheets, Sample Papers, and Syllabus

All the necessary details and information that a student needs to know about Class 1 Maths have been provided in this article by Vedantu. Keeping students’ best interests in mind, we offer various Maths worksheets for Class 1 . We are certain that these worksheets will prove to be some of the highest-quality resources for kids. 

Resources for CBSE Class 1 Maths

Students pick up lessons better when they keep repeating the ideas and concepts again and again in some way or the other. Our experts have put keen attention to creating the most engaging and informative study resources for CBSE Class 1 Maths in accordance with the latest CBSE syllabus . 

Following are the resources that will help students in Class 1 get the best out of their time studying Maths:  

CBSE Class 1 Maths Worksheets 

The best way to immediately put the gathered knowledge into practice is by going through and solving worksheets on the subject. This is applicable in the case of Maths too. We have provided various Worksheets for Class 1 Maths CBSE so that students can apply the knowledge they have gathered from reading the chapters into actual problems. Doing this will ensure they don’t have difficulty answering the questions in their Maths exams. 

CBSE Class 1 Maths Worksheets Chapter-wise List 

Cbse class 1 maths sample papers.

Along with CBSE Class 1 Maths worksheets, we have also provided CBSE Class 1 Maths sample papers for students to go through and practise. These sample papers will help kids build confidence in Maths and the topics it covers in Class 1. Download the CBSE Class 1 Maths Sample Papers by Vedantu along with the worksheets provided and get the best results from the combination of these two time-tested practice materials. 

CBSE Class 1 Maths Syllabus

Chapter 1: Shapes and Space

Introduction 

Bigger and Smaller

Biggest and Smallest

Inside and Outside

Nearer and Farther

Nearest and Farthest

On, Under, Above, and Below

Top and Bottom

Shapes around Us

Sorting According to Shapes

Rolling and Sliding

Shapes of Similar Size

Review of Shapes and Space

Chapter 2: Numbers from One to Nine

Learn about Numbers - 1, 2, 3, 4, 5, 6, 7, 8, 9

Chapter 3: Addition

Addition using pictures

Addition with carry forward

Counting objects and writing in numbers

Counting numbers from different groups

Chapter 4: Subtraction

Introduction to basic subtraction problems

Subtraction with/ without borrowing

Review of Subtraction

Chapter 5: Numbers from Ten to Twenty

Learn about numbers 11, 12, 13, 14, 15, 16, 17, 18, 19

Chapter 6: Time

Morning, evening, afternoon, Day and night

Understanding which activity takes longer

Reading the clock (Analog and Digital)

Sequencing activities according to the occurrence

Chapter 7: Measurement

Height: Tall/Short

Weight: Heavy/Light

Size: Thin/Thick

Chapter 8: Numbers from Twenty-one to Fifty

Learning and writing numbers from Twenty-one to fifty

Chapter 9: Data Handling

Recognizing and counting shapes

Grouping names with same number of letters

Counting letters in a name

Chapter 10: Patterns

Studying and understanding patterns

Learning about sequences

Understanding what should come next

Chapter 11: Numbers

Largest and smallest

Ascending and descending order

Understanding number values one, tens, and hundred

Chapter 12: Money

Introduction to money

Coins/ Notes currently in use in India

Usage of coins

Simple addition questions based on money

Chapter 13: How Many?

Simple problems on counting, addition and subtraction

Vedantu’s CBSE Class 1 Maths worksheets and sample papers are here to help students reach their academic goals quickly, without wasting precious time on scattered sources. Our study materials will guide you into learning well, internalising, and retaining the information gathered from studying the topics in the CBSE Class 1 Maths syllabus . Download our worksheets and sample papers for Class 1 Maths CBSE to be confident about your exam preparation and performance!

FAQs on CBSE Class 1 Maths

1. Why should I download the CBSE Class 1 Maths worksheets?

Ans. Downloading and practising the CBSE Class 1 Maths worksheets will help students revise and test their knowledge of the topics and chapters covered in the CBSE Class 1 Maths syllabus , and they will gain further clarity on the same. Students can retain the information better and reproduce the solutions seamlessly, securing high marks in their exams. 

2. Why should I download the CBSE Class 1 Maths sample papers?

Ans. Downloading the CBSE Class 1 Maths sample papers will ensure that students know the question pattern, format, and time allotment for each question in the exam. They will have all the confidence and preparation they need to sit for and ace the tests. 

3. Where can I find the best study materials or resources for CBSE Class 1 Maths?

Ans. Vedantu provides the best quality study materials to students, which are also engaging and supremely effective, keeping in line with the latest CBSE syllabus . Students will find Vedantu’s study materials or resources for CBSE Class 1 Maths extremely easy to read and memorise. The worksheets and sample papers are the major practice materials to help students revise and test their knowledge in the subject. Vedantu creates them in a manner that nobody else can, that is, by upholding the ideas of children first and students first!

4. In which order should I use Vedantu’s CBSE Class 1 Maths sample papers and worksheets?

Ans. Firstly, you should study the chapters from the textbooks and clear your doubts about the subject with your teachers. Then, you can get down with the CBSE Class 1 Maths worksheets , which will help you understand how to use the learnings in solving actual problems. After you are done with solving the worksheets, you can move on to practising the CBSE Class 1 Maths sample papers . Practising the sample papers will give you an idea of the question paper format, the pattern of questions, and the way you should manage your time solving each question.    

• Kids Learning
• Class 1 Maths

Class 1 Maths - A Comprehensive Guide to Mathematics for 1st Graders

In this article, we are providing every bit of information that you should know regarding Class 1 Maths. We are also offering several Maths Worksheet for Class 1 kids in this article which are proven best learning resources for children. 

Maths is a very interesting subject. It may be fun for some, whereas some may consider it a nightmare. Simply put, Maths is not just all about addition, subtraction, multiplication or division. There is more to it. Kids begin learning Maths from a very early age than we might think. 1st standard Maths acquaints children to learn basic functions of Arithmetic.

Class 1 Maths is a very alluring subject for young minds. The chapters in the CBSE 1st Standard Maths are designed in a simple and plain manner. In 1st Class Maths, kids learn about counting numbers, simple addition and subtraction, multiplication, division, word problems and time knowledge, number patterns, shapes and spaces, etc.

Mathematics for Class 1: Resource

Here we bring you useful resources of 1st Class Maths for young children. You can download the Class 1 Maths Worksheets for free by checking the link given below:

Let’s have a look at the details of these worksheets on Grade 1 Maths:

Maths Worksheets For Class 1:

Maths Worksheet for Class 1 is a fun way to help young students master basic mathematical skills. These worksheets comprise interesting and intriguing Maths questions for Class 1 children. 

In Maths Worksheets GR 1, the main focus is on counting numbers followed by place value concepts. Various pictures, numbers, puzzles are used in Mathematics for Class 1 to tackle the addition and subtraction problems, identify numbers through various shapes and sizes, etc.  Maths worksheet for Class 1 kids is structured in a format that entices them and strengthens their mathematical concepts.

Mathematics for Class 1 is usually simple and even the youngest minds can understand the concepts easily. Kids can learn and practice basic Maths anywhere. 

For instance, while you’re parenting your child at home, you might teach your child the stacking of rings by size in a particular sequence during play-time. This is the first lesson of Class 1 Maths for your child. Besides, as he/she grows up, you teach your child some basic Maths skills like counting the total number of toys and placing them in the basket, counting the steps and hops in the playground, etc. 

It is between the ages 3 to 6 that children become more familiar with the numbers in their environment. They begin recognising different numbers while writing on the paper or counting them with their little fingers. 

Mathematics for Class 1 teaches such young minds to get acquainted with counting numbers from 1 to 20 and learn basic mathematical problems like subtraction and addition. They also begin recognising various shapes and sizes of objects, basic fractions, etc. The 1st Class Maths is structured in a very lucid manner so that the little minds can absorb arithmetical knowledge easily.

It is during the early years of childhood, you can mould your child to learn new concepts in a simple and fun way. This lets your Grade 1 kid grasp and retain the knowledge for a longer duration. 1st Standard Maths is the first step students take towards extensive learning of Mathematics.  

Try to pursue playful mathematical games anywhere you can and incorporate family game nights with other kids so that your child gets an opportunity to not just interact with others but also learn some simple tips and tricks from them.

Other Resources for Kids

In addition to Class 1 Maths and Maths worksheet for Class 1, you can also explore other subjects’ resources for your kids. Just click on the links given below to know more about each topic:

Why should students study 1st Standard Maths from BYJU’S?

Every parent wants the best education for his/her child. BYJU’S provides you just that! At BYJU’S, we give basic Maths games and lessons on CBSE 1st Standard Maths that will help kids to grasp several mathematical problems in a fun way. 

We have loads of fascinating puzzles, quizzes and basic Maths games for Class 1 which make it easier for children to grasp knowledge. So quickly enroll your Class 1 child for the best learning program and watch him/her get ready for higher challenges of life. 

Are you looking out for more such engrossing learning resources for your child? You can explore our Kids Learning section and discover a plethora of topics such as poems, stories, essays, GK questions, English and EVS pages and worksheets, NCERT Solutions, etc. and make learning an enjoyable journey for your little one!

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Class 1 Maths

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Exploring Math Project Ideas for Class 1: A Comprehensive Guide

• Author: Noreen Niazi
• Last Updated on: February 18, 2024

Math Project ideas for class 1

Counting with Everyday Objects:

• Description: Use objects that children play with on a daily basis, such as toys, and so on, to teach counting .
• Example: The task of estimating the number in a basket of apples.
• Solved Exercise: If there are 5 apples and you eat-2 of them, how many do you have left?

Shape Hunt:

• Description: Seek the shapes by running shape hunt in your house or surrounding to identify shapes.
• Example: Discover squares, circles, and triangles in the living room. Solved
• Exercise: What are the number of sides of a triangle?

Measurement Madness:

• Description: Use non-standard scales such as blocks or hands for more familiar measurement.
• Example: Take a table and measure its length using building blocks. Solved Exercise: How many of the table are there on the street?.
• Description: Use the colors, shapes, and objects to generate and discover the patterns.
• Example: Red white blue, right? This great. What do I need to say now? Solved
• Exercise: Follow a pattern which would be made up of three different colors.

Number Line Fun:

• Description: Explain the number line and let have a try by counting forwards and backwards. Example: Mark your answers on a straight line from 1 to 10. Solved Exercise: In what place is 7 in the number line?

Singapore math curriculum for kindergarten: A comprehensive Guide

Comparison of top 5 math project ideas for class 1:, more math project ideas for class 1, 6. money matters:.

• Description: Educate them first on the basic concept of money using play money.
• Example: Buy, sell or sign a contract using play money.

7. Graphing Goodies:

• Description: Compile data and build basic graphs like bar graphs and pictographs.
• Example: Classroom favorite colors graph per a poll.
• Solved Exercise: How many students did blue appeared to be their favorite color?

8. Time Telling:

• Description: Enfolk time telling with analog clocks and digital clocks.
• Example: Try reading time on a clock in order to practice it.
• Solved Exercise: At this time, the large hand is on 6 o’clock, and the small hand is on 2 o’clock.

9.Addition Adventures:

• Description: Apply addition through manipulatives or visual aids.
• Example: In tallying the blocks to get a total sum.
• Solved Exercise : 2.3 = ?

10.Subtraction Stories:

• Description: Incorporate storytelling techniques and real life experiences for subtraction introduction.
• Example: If you were have 5 cookies and you just eat 2, how many are left?
• Solved Exercise: 7 minus 4 equals?

Explore Grade 6 Math Curriculum: A Comprehensive Guide

Comparison between other math project ideas for class 1, best math projects for homeschooling:.

• Counting with Everyday Objects: In this initiative pupils can try out their counting using household items they can use as examples.  It does not require any prior preparation and may be tailored to meet students’ requirements.
• Shape Hunt: Learning geometry at home let students notice and realize the shapes in their space and operate with spatial orientation.
• Measurement Madness: Re-introducing geometry with non-standard units like blocks or hands helps institute the tactile experiments and measurements.
• Number Line Fun: Counting and understanding numbers as they appear on the number line is the bedrock of math done in the classroom. This basic concept can be reinforced through simple activities at home.
• Money Matters: Applying playful money concept using play currency brings students actual knowledge of the value of bill and coins.
• Math Storytime: The act of using math phrase-ology in storylines stimulates students’ imagination and builds math knowledge which is meaningful to them.
• Math Art Masterpieces: Art taught using principles of mathematics provides a platform through which students express their creativity and in turn explore the classical aspects of mathematics such as symmetry and patterns.
• Math Cooking Adventures: Integrating math and cooking gives an approach that combines learning the concept of measurement and fractions and makes an ideal practical experience.
• Math Music Makers: Through music and rhythm, you engage multiple areas of the brain satisfying both the right and left hemispheres while providing a different kind of creative learning experience.
• Math Puzzles Galore: Solving the puzzles and riddle games trains your critical thinking abilities and at the same time you enjoy math and it becomes more interactive. Meetings can be utilized as an effective approach to updating students on the progress of their chosen course and the steps they should take to achieve success.

Solved Exercise Examples:

• Counting with Everyday Objects: 8 toy cars and 3 dolls means there are a total of 11 toys. (Answer: 11 toys)
• Shape Hunt: Can you find how many rectangles is contained in the common area? (Answer: 3 rectangles)
• Measurement Madness: Calculate the number of inches in a book of 8 blocks, where each block is 2 inches long. (Answer: 16 inches)
• Number Line Fun: Which number is the next number after in the number line? (Answer: 16)
• Money Matters: If a toy costs 4 pc`s (play coins) and you have 7, how much change will you get? (Answer: 3 coins)

Explore Grade 1 Math Curriculum: A Comprehensive Guide

A: Make math lessons interactive by including hands-on activities, games and common examples from the real world.  Employ manipulatives, toys, and objects in order to demonstrate relevant mathematical concepts.

Q: What are the techniques I can apply at home to encourage my child to build strong math skills? A: Provide the students with regular assignments and homework, support and guide them when they need to, and foster a good learning atmosphere.  Look for diverse learning resources, like books, online games, and interactive apps, to make learning fun and meaningful.

A: Put the idea into smaller, more controllable steps, give the student more practice in learning, praise his effort and achievements and do not forget about correction if something is wrong.  Think about getting a help either from online sources or tutors or founding homeschooling support groups.

A: Look for chances to engage your child in cooking, shopping, budgeting, and measurement in the house chores.  There are patterns that can be seen in leaves as well as in architecture, and you can mention these and ask about observation and exploration.

Conclusion:

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Class 1 Maths Lesson Plan

Dear teachers ,we are presenting NCERT,KVS,CBSE based lesson plans for Class 1 Maths Lesson Plan.Our lesson plans are according to syllabus and TLO’s of NEP-2020 .These are printable lesson plans.Teachers can download lesson plans in PDF and word format.

Download Class 1 Maths Lesson Plan in Word and PDF format

Dear teachers, you can download Class 1 Maths Lesson Plan in word & PDF format for your use. We are also providing other resources like worksheets, PPT, and  NCERT  solutions for all chapters.

How to use Class 1 Maths Lesson Plan

You can print the PDF of the Lesson Plan given below & use in your class.

You can edit the word file given below and can edit accordingly. This lesson will be delivered on the first day of school. So you make the lesson plan interesting and deliver in a better way.

Why our lesson plans are best for Teachers

Our lesson plans are best for Teachers to use in their classes as our lesson plans are prepared according to NEP 2020 and NIPUN Bharat. These lesson plans promote activity-based learning.

Class 1 Class 1 Maths Lesson Plans includes all the components of a good lesson plan –

An hour of planning can save you 10 hours of doing. ”

1)Gist of the lesson 2)Skill focused/Competencies 3)Targeted Learning Outcomes (TLO) 4)Teacher’s activity 5)Student’s activity 6)Integration with other subject 7)Resources 8)Assignments

MATHS-MAGIC LESSON PLAN LINKS

• CLASS 1 MATHS-MAGIC LESSON PLAN
• CLASS 2 MATHS-MAGIC LESSON PLAN
• CLASS 3 MATHS-MAGIC LESSON PLAN
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HINDI-RIMJHM LESSON PLAN LINKS

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• CLASS 4 HINDI RIMJHIM LESSON PLAN
• CLASS 5 HINDI RIMJHIM LESSON PLAN

ENGLISH-MARIGOLD LESSON PLAN LINKS

• CLASS 1 MARIGOLD LESSON PLAN
• CLASS 2 MARIGOLD LESSON PLAN
• CLASS 3 MARIGOLD LESSON PLAN
• CLASS 4 MARIGOLD LESSON PLAN
• CLASS 5 MARIGOLD LESSON PLAN

EVS-LOOKING AROUND LESSON PLAN LINKS

• CLASS 1 RVS LESSON PLAN
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• CLASS 3 LOOKING AROUND LESSON PLAN
• CLASS 4 LOOKING AROUND LESSON PLAN
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CBSE NCERT Solutions

NCERT and CBSE Solutions for free

MCQ Questions for Class 1 Mathematics with Answers

Students can refer to the following MCQ Questions for Class 1 Maths with Answers provided below based on the latest curriculum and examination pattern issued by CBSE and NCERT. Our teachers have provided here collection of multiple choice questions for Mathematics Class 1 covering all topics in your textbook so that students can assess themselves on all important topics and thoroughly prepare for their exams

MCQ Questions for Class 1 Maths with Answers

We have provided below chapter wise MCQ Questions for Class 1 Maths with answers which will help the students to go through the entire syllabus and and practice multiple choice questions provided here with solutions. As Mathematics MCQs in Class 1 pdf download can be really scoring for students, you should go thorough all problems provided below so that you are able to get more marks in your exams.

MCQ Questions for Class 1 Maths

Our teachers have developed really good  Multiple Choice Questions  covering all important topics in each chapter which are expected to come in upcoming tests and exams, as MCQs are coming in all exams now therefore practice them carefully to get full understanding of topics and get good marks. Download the latest questions with multiple choice answers for Class 1 Mathematics in pdf or read online for free.

The above  NCERT based MCQs for Class 1 Mathematics have been designed by our teachers in such a way that it will help you a lot to gain an understanding of each topic. These CBSE NCERT Class 1 Mathematics Multiple Choice Questions have been developed and are available free for benefit of Class 1 students.

Advantages of  MCQ Questions for Class 1 Maths with Answers

a) MCQs will help the kids to strengthen concepts and improve marks in tests and exams.

b) MCQ Questions for Class 1 Maths have proven to further enhance the understanding and question solving skills.

c) Regular reading topic wise questions with choices will for sure develop very good hold over each chapter which will help in exam preparations.

d) It will be easy to revise all English chapters and faster revisions prior to class tests and exams.

Free Printable  MCQs in PDF of CBSE Class 1 Mathematics are designed by our school teachers and provide best study material as per CBSE NCERT standards.

You can easily get MCQs for Mathematics from https://www.cbsencertsolutions.com

The MCQs for Class 1 Mathematics with Answers have been developed based on current  NCERT textbook  issued by CBSE.

Yes – These Multiple Choice Questions for Class 1 Mathematics with Answers are free to print and use them later.

MCQs cover the topics of all chapters given in NCERT Book for Class 1 Mathematics .

No – All MCQs for Mathematics are free to read for all students.

Just scroll and read the free MCQs.

Yes – you can download free MCQs in PDF for Mathematics in standard MCQs format with Answers.

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Class 10 Maths Chapter 1 Assignments

Class 10 Maths Chapter 1 Real Numbers Assignments and Worksheets with solutions and answers updated for academic session 2024-25. All the chapter is divided into 4 assignments taking easy, average, and difficult questions. These set of questions provide a complete revision for the preparation of CBSE and State board exams 2024-25.

CBSE NCERT Class 10 Maths Chapter 1 Real Numbers Assignments

• Class 10 Maths Chapter 1 Real Numbers Assignments 1
• Class 10 Maths Chapter 1 Real Numbers Assignments 1 Solutions
• Class 10 Maths Chapter 1 Real Numbers Assignments 2
• Class 10 Maths Chapter 1 Real Numbers Assignments 2 Solutions
• Class 10 Maths Chapter 1 Real Numbers Assignments 3
• Class 10 Maths Chapter 1 Real Numbers Assignments 3 Solutions
• Class 10 Maths Chapter 1 Real Numbers Assignments 4
• Class 10 Maths Chapter 1 Real Numbers Assignments 4 Solutions
• Class 10 Maths Chapter 1 Real Numbers Solution Page

Download App for Class 10 all Subjects

There are 4 assignments and worksheets. Assignments contains MCQ, Fill in the Blanks, and True false questions. We have covered every topic in the chapter 1 of class 10 Maths. Answers and solutions of each assignment is also given free to use. Students can download these assignments and solve themselves. After solving they can check the answers given on website.

There are some easy questions based on understanding only. Some questions contains tricky methods and 17 percent questions are little bit difficult one. Students need to put effort to explore these questions. These assignments are guarantee to get good marks in exams. The questions based on Case Study will also be included in later chapters.

Download links are given for each assignments. Download and print it and solve it. Match the answers and solutions given on website to know the accuracy. Assignments are deign level wise, so do the first assignment first and the fourth assignment in the last.

Please suggest us, if any, about these assignments, so that we can improve the quality of the contents. We are preparing assignments for all the chapters. Gradually it will be uploaded before the final exams. Students are advised to solve these assignments to prepare the chapter and get confidence in topics.

Are assignments helpful in final exams?

Assignments are helpful in the revision of chapter as well as preparation for exams.

How many assignment should do to prepare the chapter?

At least 3 or 4 assignments which cover the entire chapter will be sufficient to know the chapter well.

How do solve the assignment?

Do yourself each assignment. If a part of assignment is not cleared or creating confusion, discuss with your classmate or teachers and solve it again.

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MATHEMATICS ASSIGNMENT CLASS IX  NUMBER SYSTEM

 (a) 1⁸ × 3⁰ × 5³ × 2²           Ans; 500,                

(b)  4 -3 × 4⁸ ÷ 4²                Ans; 64

(d) 3 -4 × 3 -5 ÷ 3¹⁰             Ans; 3 -19

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Grading New York Giants' 2024 NFL Draft

How good of a haul did the New York Giants walk away with in the 2024 NFL Draft?

• Author: Brandon Olsen
• Publish date: Apr 28, 2024

In this story:

The New York Giants entered the 2024 NFL Draft with six picks and were one of the only teams to not make a trade throughout the draft. With those picks, they addressed premium positions of need and added depth to the back end of their roster.

Round 1, Pick 6: LSU WR Malik Nabers

At the beginning of the draft, three quarterbacks, one receiver, and one offensive lineman were drafted with the first five picks. 

That left the Giants with a decision to be the next team to reach for a quarterback or to take the best player available—they chose the latter.

Malik Nabers  was the fourth best player on our  Giants Country big board , as well as the second-ranked wide receiver in the draft behind the previously selected Marvin Harrison Jr. Nabers is immediately the most talented wide receiver on the Giants roster and should find himself as the top option for the duration of his rookie contract.

The Giants addressed a position of need while also grabbing the best player available: a massive win. Once again, Joe Schoen used his first draft pick on a premium position player. Grade: A+

Round 2, Pick 47: Minnesota S Tyler Nubin

The top safety in the draft is a New York Giant.  Tyler Nubin  has done it all at the college level and has the physical traits that should reasonably translate to the next level. This is one of the few times Schoen’s early pick was used on a non-premium position, but with the need on the roster and the importance in Shane Bowen’s defense, it was a necessity. Grade: A+

Round 3, Pick 70: Kentucky CB Andru Phillips

I wasn’t a big fan of the selection of  Andru Phillips  in the third round. I understand that he played a lot of Cover 3 and quarters at Kentucky, similar to what Giants defensive coordinator Shane Bowen called with the Tennessee Titans. What was missing from Kentucky was Cover 1, but just because someone hasn’t done something doesn’t mean they  can’t  do something.

My issue with the Phillips selection is that it feels redundant with Cor’Dale Flott on the roster and a more immediate need on the boundary. Unless the Giants feel that Flott or Phillips can play on the outside full-time, this is a depth pick in the third round. Grade: C-

Round 4, Pick 107: Penn State TE Theo Johnson

The  Giants Country  big board was very high on  Theo Johnson  despite his lack of production by college tight-end standards. The Penn State offense wasn’t favorable for any pass-catcher, especially for tight ends forced into pass protection. 

Given the question marks surrounding Darren Waller’s future with the organization, the Giants were bound to make a selection at tight end. They walked away with someone who should be able to contribute early as an athletic pass-catcher while he gets more accustomed to the NFL game, which is something to be happy about. Grade: B+

Round 5, Pick 166: Purdue RB Tyrone Tracy

My main hesitation with the selection of Tyron Tracy is that he’s already 24 years old and has just started playing running back after spending most of his career as a wide receiver. I think he has the skillset to contribute as a pass-catcher, but I wish the Giants brought in a more natural runner who is a proven contributor between the tackles here.

Tracy may become a great asset at this pick, but as it currently stands, I think the Giants need significant development in the running back room to have a good room. Grade: C+

Round 6, Pick 183: UCLA LB Darius Muasau

Darius Muasau is the kind of linebacker I envision as someone who won’t be a significant impact player on a down-to-down basis but could find his way onto the field rotationally and should play on special teams. Muasau played in a defensive system that was fairly similar at the linebacker spot to Bowen’s scheme, which immediately raises his floor.  Grade: C

Overall Grade

The Giants hit home runs with their first two picks and got great value with the Johnson pick in the fourth round, but they also made some uninspiring picks. Nailing the early picks matters more than a few average picks, so Giants fans should be happy with the draft's overall results. Grade: B+

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ISC Class 11th Maths Syllabus 2024-25: Download Revised PDF for ISC Class 11 Maths

Isc class 11 maths syllabus 2024–25: download the revised isc class 11 maths syllabus for the academic session 2024–25 here. check out the complete revised syllabus to know the list of topics and exam pattern prescribed by cicse for isc class 11 maths..

ISC Class 11 Maths Syllabus 2024-25: The ISC Board has released the 2024–25 ISC Class 11 Maths syllabus. This article provides students with direct access to the revised Maths syllabus for class 11. The curriculum and syllabus for ISC Class 11 Maths are available for students to see and download here. 860, is the subject code for the same. The syllabus is divided into three sections A, B and C. Section A carries the highest weightage followed by section B and C. Students can make choice between section B OR C, for attempting questions. The syllabus is thoughtfully created, with appropriate topic elaboration. There are two components to the ISC class 11 Maths paper for 2024–2025: theory and project work. To know the entire syllabus, read the entire article: 

ISC Class 11 Maths Syllabus Key Highlights

Isc class 11 maths syllabus 2024-25, paper i: theory - 80 marks .

The syllabus is divided into three sections A, B and C. Section A is compulsory for all candidates. Candidates will have a choice of attempting questions from EITHER Section B OR Section C.

PAPER II: PROJECT WORK - 20 Marks  

List of suggested assignments for project work: .

• Using a Venn diagram, find the number of subsets of a given set and verify that if a set has ‘n’ number of elements, the total number of subsets is 2n
• Verify that for two sets A and B, n(A × B) = pq, where n(A) = p and n(B)= q, the total number of relations from A to B is 2pq.
• Using Venn diagram, verify the distributive law for three given non-empty sets A, B and C. 
• Identify distinction between a relation and a function with suitable examples and illustrate graphically.
• Establish the relationship between the measure of an angle in degrees and in radians with suitable examples by drawing a rough sketch. 
• Illustrate with the help of a model, the values of sine and cosine functions for different angles which are multiples of π/2 and π.
• Draw the graphs of sin x, sin 2x, 2 sin x, and sin x/2 on the same graph using same coordinate axes and interpret the same.
• Draw the graph of cos x, cos 2x, 2 cos x, and cos x/2 on the same graph using same coordinate axes and interpret the same.
• Using argand plane, interpret geometrically, the meaning of and its integral powers.
• Draw the graph of quadratic function. From the graph find maximum/minimum value of the function. Also determine the sign of the expression.
• Construct a Pascal’s triangle to write a binomial expansion for a given positive integral exponent. 
• Obtain a formula for the sum of the squares/sum of cubes of ’n’ natural numbers.
• Obtain the equation of the straight line in the normal form, for (the angle between the perpendicular to the line from the origin and the x-axis) for each of the following, on the same graph: α < 90°, 90° < α < 180°, 180° < α < 270°,  270° < α < 360°
• Identify the variability and consistency of two sets of statistical data using the concept of coefficient     of variation.
• Construct the tree structure of the outcomes of a random experiment, when elementary events are  not equally likely. Also construct a sample space by taking a suitable example.
• Construct different types of conics by PowerPoint Presentation, or by making a model, using the concept of double cone and a plane.
• Use focal property of ellipse to construct ellipse.
• Use focal property of hyperbola to construct hyperbola.
• Write geometrical significance of X coordinate, Y coordinate, and Z coordinate in space. Using the above, find the distance of the point in space from x-axis/y-axis/z-axis. Explain the above using a three-dimensional model/ power point presentation.
• Obtain truth values of compound statements of the type by using switch connection in series.
• Obtain truth values of compound statements of the type by using switch connection in parallel.
• Explain the statistical significance of percentile and draw inferences of percentile for a given data.
• Find median from the point of intersection of cumulative frequency curves (less than and more than cumulative frequency curves).
• Describe the limitations of Spearman’s rank correlation coefficient and illustrate with suitable examples.
• Identify the purchasing power using the concept of cost of living index number.
• Identify the purchasing power using the concept of weighted aggregate price index number. 
• Calculate moving averages with the given even Periodicity. Plot them and as well as the original data on the same graph.

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Bold bloom filters, learning objectives.

• Implement the bloom filter using C++ built-in data structures
• Understand bitvectors and fundamental bitvector operations
• Measure the accuracy of a bloom filter over its multi-dimensional parameter space

Assignment Description

In this lab we will be implementing bloom filters and building up our understanding of probabilistic data structures as well as fundamental bit operations.

Lab Insight

Bloom filters are a great example of a probablistic data structure – a data structure whose accuracy is not guaranteed but is usually bounded in some meaningful way (or one-sided in error). Additionally data structures in this class generally have great performance with speeds or overall efficiency that are hard to beat. Among the data structures in this classification, the bloom filter is the most straightforward as it directly extends from what we now know about hashing.

In addition to the basics of implementation (which you are coding up here), in class we also discussed that the optimally accurate bloom filter can be determined if you know any two of the following three properties: (1) Size of bloom filter (2) Number of hashes (3) Expected number of items. You will explore that relationship by implementing an integer-hash bloom filter with variable hashes, sizes, and input items and observing how the filter compares to the underlying ground truth.

Checking Out the Code

All assignments will be distributed via our release repo on github this semester. You will need to have set up your git directory to have our release as a remote repo as described in our git set up .

You can merge the assignments as they are released into your personal repo with

The first git command will fetch and merge changes from the main branch on your remote repository named release into your personal. The --no-edit flag automatically generates a commit message for you, and the --no-rebase flag will merge the upstream branch into the current branch. Generally, these two flags shouldn’t be used, but are included for ease of merging assignments into your repo.

The second command will push to origin (your personal), which will allow it to track the new changes from release .

You will need to run these commands for every assignment that is released.

All the files for this lab are in the lab_bloom directory.

Part 1: The Bloom Filter Class

As every provided hash function takes an integer as input (and returns an integer as output), unlike most the assignments in this class our bloom filter is not templated! For the first part of this assignment, your task is to finish implementing this integer-hash bloom filter. The specific functions you should fill in are:

• BF::BF() (Both constructor and copy constructor)
• BF::contains()
• BF::bit_union()
• BF::intersect()

To help you debug the assignment, the BF class has an override to print the content of a bloom filter when passed to cout as well as five ‘hash’ functions of varying performance so you can explore the space of possible implementations. While you should read the doxygen to understand the specific details of each function, some tips to help you out are below.

Remember that functions can be stored as variables and passed as function arguments! In this assignment we actually go one step further and pass a vector of hashFunctions , which we have type defined for you in bloom.h to be any function that takes in an integer as input and returns an integer as output.

Don’t overthink add () or contains() ! If you understand how a bloom filter handles collisions and the probabilistic errors possible in a BF, they should be very straightforward.

The lab slides briefly review what a bit vector is and the fundamentals of bitwise union and intersection. Depending on your background you may find it easier to consider them as logical gates or the basic connectives of predicate logic. As a simple truth table:

Part 2: False Positive Rate Experiment

Once you have a functional BF class, its time to evaluate how the accuracy in a BF is a function of its size, the number of hashes, and the number of items inserted. As the bloom filter has one-sided error, the only mistakes it can make are when it identifies an item as being ‘present’ when it was not actually inserted into the bloom filter. Accordingly, the only measure of accuracy we need to track is the False Positive Rate . For a refresher on what that means conceptually, see the following table:

As seen in class (and re-iterated in the slides), \(FPR=\frac{FP}{(FP+TN)}\). From a coding point of view, we can estimate this by keeping track of the raw number of false positives and the raw number of true negatives. Then it is a simple matter of querying every number and tracking how many numbers not in our set were identified as being part of our set (FP) as well as the number of items we correctly identify as not present (TN). However in order to do this correctly, we need one additional piece of information – the size of the universe! Given this information, you can query the full range and get the correct estimate.

Warning: You should always assume the universe starts from 0 and ends at (but not including) the universe max. In other words, the universe parameter defines the size of the universe, not the final item in the universe.

Ex: A universe of 100 is the items 0 through 99.

The specific functions you should fill in are:

• measureFPR()

Part 3: Bit Mask Tutorial

When using vector<bool> , you can use standard array indexing [] to look up the value of any bit. But when using actual bit vectors, it is much harder to access a single bit. Here you are tasked with looking up specific bits in a vector<char> . For the purposes of the lab, you will first implement this for a single character and then extend that logic to work for an array of characters:

• getBitFromByte()
• getBitFromArray()

Figuring out how to actually accomplish this is the point of the lab exercise, but as a hint you should be familiar with the fundamental bit-wise operators discussed in class. A brief summary of them can be found in the lecture slides.

Part 4: (Optional) Data Exploration

Given the completed functions in parts 1 and 2, you have the ability to get the FPR for any combination of hashes, bit vector sizes, and input items (as well as the size of the universe). You are encouraged to play around with different parameter sets to see if the empirically derived accuracy has an optimal accuracy that matches the equation we saw in class with k hashes, m bits, and n items inserted:

If the accuracy you are seeing doesnt match, why do you think this is? What might you change to restore the optimality?

Submitting Your Work

The following files are used in grading:

All other files including any testing files you have added will not be used for grading.