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Free Math Worksheets — Over 100k free practice problems on Khan Academy

Looking for free math worksheets.

You’ve found something even better!

That’s because Khan Academy has over 100,000 free practice questions. And they’re even better than traditional math worksheets – more instantaneous, more interactive, and more fun!

Just choose your grade level or topic to get access to 100% free practice questions:

Kindergarten, basic geometry, pre-algebra, algebra basics, high school geometry.

• Trigonometry

Statistics and probability

High school statistics, ap®︎/college statistics, precalculus, differential calculus, integral calculus, ap®︎/college calculus ab, ap®︎/college calculus bc, multivariable calculus, differential equations, linear algebra.

• Addition and subtraction
• Place value (tens and hundreds)
• Addition and subtraction within 20
• Addition and subtraction within 100
• Addition and subtraction within 1000
• Measurement and data
• Counting and place value
• Measurement and geometry
• Place value
• Measurement, data, and geometry
• Add and subtract within 20
• Add and subtract within 100
• Add and subtract within 1,000
• Money and time
• Measurement
• Intro to multiplication
• 1-digit multiplication
• Addition, subtraction, and estimation
• Intro to division
• Understand fractions
• Equivalent fractions and comparing fractions
• More with multiplication and division
• Arithmetic patterns and problem solving
• Quadrilaterals
• Represent and interpret data
• Multiply by 1-digit numbers
• Multiply by 2-digit numbers
• Factors, multiples and patterns
• Add and subtract fractions
• Multiply fractions
• Understand decimals
• Plane figures
• Measuring angles
• Area and perimeter
• Units of measurement
• Decimal place value
• Add decimals
• Subtract decimals
• Multi-digit multiplication and division
• Divide fractions
• Multiply decimals
• Divide decimals
• Powers of ten
• Coordinate plane
• Algebraic thinking
• Converting units of measure
• Properties of shapes
• Ratios, rates, & percentages
• Arithmetic operations
• Negative numbers
• Properties of numbers
• Variables & expressions
• Equations & inequalities introduction
• Data and statistics
• Negative numbers: addition and subtraction
• Negative numbers: multiplication and division
• Fractions, decimals, & percentages
• Rates & proportional relationships
• Expressions, equations, & inequalities
• Numbers and operations
• Solving equations with one unknown
• Linear equations and functions
• Systems of equations
• Geometric transformations
• Data and modeling
• Volume and surface area
• Pythagorean theorem
• Transformations, congruence, and similarity
• Arithmetic properties
• Factors and multiples
• Reading and interpreting data
• Negative numbers and coordinate plane
• Ratios, rates, proportions
• Equations, expressions, and inequalities
• Exponents, radicals, and scientific notation
• Foundations
• Algebraic expressions
• Linear equations and inequalities
• Graphing lines and slope
• Expressions with exponents
• Quadratics and polynomials
• Equations and geometry
• Algebra foundations
• Solving equations & inequalities
• Working with units
• Linear equations & graphs
• Forms of linear equations
• Inequalities (systems & graphs)
• Absolute value & piecewise functions
• Exponents & radicals
• Exponential growth & decay
• Quadratics: Multiplying & factoring
• Quadratic functions & equations
• Irrational numbers
• Performing transformations
• Transformation properties and proofs
• Right triangles & trigonometry
• Non-right triangles & trigonometry (Advanced)
• Analytic geometry
• Conic sections
• Solid geometry
• Polynomial arithmetic
• Complex numbers
• Polynomial factorization
• Polynomial division
• Polynomial graphs
• Rational exponents and radicals
• Exponential models
• Transformations of functions
• Rational functions
• Trigonometric functions
• Non-right triangles & trigonometry
• Trigonometric equations and identities
• Analyzing categorical data
• Displaying and comparing quantitative data
• Summarizing quantitative data
• Modeling data distributions
• Exploring bivariate numerical data
• Study design
• Probability
• Counting, permutations, and combinations
• Random variables
• Sampling distributions
• Confidence intervals
• Significance tests (hypothesis testing)
• Two-sample inference for the difference between groups
• Inference for categorical data (chi-square tests)
• Advanced regression (inference and transforming)
• Analysis of variance (ANOVA)
• Scatterplots
• Data distributions
• Two-way tables
• Binomial probability
• Normal distributions
• Displaying and describing quantitative data
• Inference comparing two groups or populations
• Chi-square tests for categorical data
• More on regression
• Prepare for the 2020 AP®︎ Statistics Exam
• AP®︎ Statistics Standards mappings
• Polynomials
• Composite functions
• Probability and combinatorics
• Limits and continuity
• Derivatives: definition and basic rules
• Derivatives: chain rule and other advanced topics
• Applications of derivatives
• Analyzing functions
• Parametric equations, polar coordinates, and vector-valued functions
• Applications of integrals
• Differentiation: definition and basic derivative rules
• Differentiation: composite, implicit, and inverse functions
• Contextual applications of differentiation
• Applying derivatives to analyze functions
• Integration and accumulation of change
• Applications of integration
• AP Calculus AB solved free response questions from past exams
• AP®︎ Calculus AB Standards mappings
• Infinite sequences and series
• AP Calculus BC solved exams
• AP®︎ Calculus BC Standards mappings
• Integrals review
• Integration techniques
• Thinking about multivariable functions
• Derivatives of multivariable functions
• Applications of multivariable derivatives
• Integrating multivariable functions
• Green’s, Stokes’, and the divergence theorems
• First order differential equations
• Second order linear equations
• Laplace transform
• Vectors and spaces
• Matrix transformations
• Alternate coordinate systems (bases)

Frequently Asked Questions about Khan Academy and Math Worksheets

Why is khan academy even better than traditional math worksheets.

Khan Academy’s 100,000+ free practice questions give instant feedback, don’t need to be graded, and don’t require a printer.

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Khan Academy’s practice questions are 100% free—with no ads or subscriptions.

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Our 100,000+ practice questions cover every math topic from arithmetic to calculus, as well as ELA, Science, Social Studies, and more.

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Khan Academy is a nonprofit with a mission to provide a free, world-class education to anyone, anywhere.

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Free Math Printable Worksheets with Answer Keys and Activities

Other free resources.

Feel free to download and enjoy these free worksheets on functions and relations. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.

• Long Division with Remainders
• Long Division with Remainders #2 (Zeros in the Quotient)
• Long Division with 2 Digit Divisors
• Whole Number by Unit Fraction
• Equation of Circle
• Simplify Imaginary Numbers
• Adding and Subtracting Complex Numbers
• Multiplying Complex Numbers
• Dividing Complex Numbers
• Dividing Complex Number (Advanced)
• End of Unit, Review Sheet
• Distance Formula
• Simplify Rational Exponents (Algebra 2)
• Solve Equations with Rational Exponents (Algebra 2)
• Solve Equations with variables in Exponents (Algebra 2)
• Exponential Growth (no answer key on this one, sorry)
• Compound Interest Worksheet #1 (No logs)
• Compound Interest Worksheet (Logarithms required)
• Factor Trinomials Worksheet
• Factor by Grouping
• Domain and Range (Algebra 1)
• Functions vs Relations (Distinguish function from relation, state domain etc..) (Algebra 2)
• Evaluating Functions (Algebra 2)
• 1 to 1 Functions (Algebra 2)
• Composition of Functions (Algebra 2)
• Inverse Functions Worksheet (Algebra 2)
• Operations with Functions (Algebra 2)
• Functions Review Worksheet (Algebra 2)
• Logarithmic Equations
• Properties of Logarithms Worksheet
• Product Rule of Logarithms
• Power Rule of Logarithms
• Quotient Rule of Logarithms
• Solve Quadratic Equations by Factoring
• Quadratic Formula Worksheets (3 different sheets)
• Quadratic Formula Worksheet (Real solutions)
• Quadratic Formula (Complex solutions)
• Quadratic Formula (Both real and complex solutions)
• Discriminant and Nature of the Roots
• Solve Quadratic Equations by Completing the Square
• Sum and Product of Roots
• Radical Equations
• Mixed Problems on Writing Equations of Lines
• Slope Intercept Form Worksheet
• Standard Form Worksheet
• Point Slope Worksheet
• Write Equation of Line from the Slope and 1 Point
• Write Equation of Line From Two Points
• Equation of Line Parallel to Another Line and Through a Point
• Equation of Line Perpendicular to Another Line and Through a Point
• Slope of a Line
• Perpendicular Bisector of Segment
• Write Equation of Line Mixed Review
• Word Problems
• Multiplying Monomials Worksheet
• Multiplying and Dividing Monomials Sheet
• Adding and Subtracting Polynomials worksheet
• Multiplying Monomials with Polynomials Worksheet
• Multiplying Binomials Worksheet
• Multiplying Polynomials
• Simplifying Polynomials
• Factoring Trinomials
• Operations with Polynomials Worksheet
• Dividing Radicals
• Simplify Radicals Worksheet
• Adding Radicals
• Multiplying Radicals Worksheet
• Radicals Review (Mixed review worksheet on radicals and square roots)
• Rationalizing the Denominator (Algebra 2)
• Radical Equations (Algebra 2)
• Solve Systems of Equations Graphically
• Solve Systems of Equations by Elimination
• Solve by Substitution
• Solve Systems of Equations (Mixed Review)
• Activity on Systems of Equations (Create an advertisement for your favorite method to Solve Systems of Equations )
• Real World Connections (Compare cell phone plans)
• Identifying Fractions

Trigonomnetry

• Law of Sines and Cosines Worksheet (This sheet is a summative worksheet that focuses on deciding when to use the law of sines or cosines as well as on using both formulas to solve for a single triangle's side or angle)
• Law of Sines
• Ambiguous Case of the Law of Sines
• Law of Cosines
• Vector Worksheet
• Sine, Cosine, Tangent, to Find Side Length
• Sine, Cosine, Tangent Chart
• Inverse Trig Functions
• Real World Applications of SOHCATOA
• Mixed Review
• Unit Circle Worksheet
• Graphing Sine and Cosine Worksheet
• Sine Cosine Graphs with Vertical Translations
• Sine, Cosine, Tangent Graphs with Phase Shifts
• Sine, Cosine, Tangent Graphs with Change in Period, Amplitude and Phase Shifts (All Translations)
• Tangent Equation, Graph Worksheet
• Graphing Sine, Cosine, Tangent with Change in Period
• Cumulative, Summative Worksheet on Periodic Trig Functions - period, amplitude, phase shift, radians, degrees,unit circle
• Ratio and Proportion
• Similar Polygons
• Area of Triangle
• Interior Angles of Polygons
• Exterior Angles of Polygons

• Identifying Fractions Worksheet
• Associated Powerpoint
• Simplify Fractions Worksheet (Regular Difficulty)
• Associated PowerPoint
• Simplify Fractions Worksheet (Challenging Difficulty level for advanced learners)
• System of Linear Equations Worksheet
• System of Linear Equations - Real World Application
• Compositions of Reflections. Reflections Over Intersecting Lines as Rotations

All of these worksheets and activities are available for free so long as they are used solely for educational, noncommercial purposes and are not distributed outside of a specific teacher's classroom.

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CBSE Worksheets for Class 7 Maths | MCQ Questions for Class 7 Maths

CBSE Worksheets for Class 7 Maths: One of the best teaching strategies employed in most classrooms today is Worksheets. CBSE Class 7 Maths Worksheet 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 7 Maths Worksheets for the students of Class 7. All our CBSE NCERT Class 7 Maths practice worksheets 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 7 Maths will be useful to test your conceptual understanding.

Board: Central Board of Secondary Education(www.cbse.nic.in) Subject: Class 7 Maths Number of Worksheets: 85

CBSE Class 7 Maths Worksheets PDF

All the CBSE Worksheets for Class 7 Maths 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 7 Maths important questions and answers in the worksheets which are included in CBSE NCERT Syllabus. Just click on the following link and download the CBSE Class 7 Maths Worksheet. CBSE Worksheets for Class 7 Math can also use like assignments for Class 7 Maths students.

• MCQ Questions for Class 7 Maths
• Grade 7 Integers Worksheets
• Grade 7 Fractions and Decimals Worksheets
• Grade 7 Data Handling Worksheets
• Grade 7 Simple Equations Worksheets
• Grade 7 Lines and Angles Worksheets
• Grade 7 The Triangles and its Properties Worksheets
• Grade 7 Congruence of Triangles Worksheets
• Grade 7 Comparing Quantities Worksheets
• Grade 7 Rational Numbers Worksheets
• Grade 7 Practical Geometry Worksheets
• Grade 7 Perimeter And Area Worksheets
• Grade 7 Algebraic Expressions Worksheets
• Grade 7 Exponents and Powers Worksheets
• Grade 7 Symmetry Worksheets
• Grade 7 Visualising Solid Shapes Worksheets

CBSE Worksheets for Class 7 Maths Algebraic

• CBSE Worksheets for Class 7 Maths Algebraic Expression Assignment 1
• CBSE Worksheets for Class 7 Maths Algebraic Expression Assignment 2
• CBSE Worksheets for Class 7 Maths Algebraic Expression Assignment 3
• CBSE Worksheets for Class 7 Maths Algebraic Expression Assignment 4

CBSE Worksheets for Class 7 Maths Comparing Quantities

• CBSE Worksheets for Class 7 Maths Comparing Quantities Assignment

CBSE Worksheets for Class 7 Maths Congruence of Triangles

• CBSE Worksheets for Class 7 Maths Congruence of Triangles Assignment 1
• CBSE Worksheets for Class 7 Maths Congruence of Triangles Assignment 2
• CBSE Worksheets for Class 7 Maths Congruence of Triangles Assignment 3
• CBSE Worksheets for Class 7 Maths Congruence of Triangles Assignment 4
• CBSE Worksheets for Class 7 Maths Congruence of Triangles Assignment 5

CBSE Worksheets for Class 7 Maths Data Handling

• CBSE Worksheets for Class 7 Maths Data Handling Assignment 1
• CBSE Worksheets for Class 7 Maths Data Handling Assignment 2
• CBSE Worksheets for Class 7 Maths Data Handling Assignment 3
• CBSE Worksheets for Class 7 Maths Data Handling Assignment 4
• CBSE Worksheets for Class 7 Maths Data Handling Assignment 5
• CBSE Worksheets for Class 7 Maths Data Handling Assignment 6
• CBSE Worksheets for Class 7 Maths Data Handling Assignment 7

CBSE Worksheets for Class 7 Maths Exponents & Powers

• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 1
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 2
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 3
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 4
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 5
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 6
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 7
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 8
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 9

CBSE Worksheets for Class 7 Maths Fractions and Decimals

• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 1
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 2
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 3
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 4
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 5
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 6
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 7
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 8
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 9

CBSE Worksheets for Class 7 Maths Integers

• CBSE Worksheets for Class 7 Maths Integers Assignment 1
• CBSE Worksheets for Class 7 Maths Integers Assignment 2
• CBSE Worksheets for Class 7 Maths Integers Assignment 3
• CBSE Worksheets for Class 7 Maths Integers Assignment 4
• CBSE Worksheets for Class 7 Maths Integers Assignment 5
• CBSE Worksheets for Class 7 Maths Integers Assignment 6
• CBSE Worksheets for Class 7 Maths Integers Assignment 7

CBSE Worksheets for Class 7 Maths Lines and Angles

• CBSE Worksheets for Class 7 Maths Lines and Angles Assignment 1
• CBSE Worksheets for Class 7 Maths Lines and Angles Assignment 2
• CBSE Worksheets for Class 7 Maths Lines and Angles Assignment 3
• CBSE Worksheets for Class 7 Maths Lines and Angles Assignment 4
• CBSE Worksheets for Class 7 Maths Lines and Angles Assignment 5
• CBSE Worksheets for Class 7 Maths Lines and Angles Assignment 6

CBSE Worksheets for Class 7 Maths Perimeter and Area

• CBSE Worksheets for Class 7 Maths Perimeter and Area Assignment 1
• CBSE Worksheets for Class 7 Maths Perimeter and Area Assignment 2

CBSE Worksheets for Class 7 Maths Rational Numbers

• CBSE Worksheets for Class 7 Maths Rational Numbers Assignment 1
• CBSE Worksheets for Class 7 Maths Rational Numbers Assignment 2
• CBSE Worksheets for Class 7 Maths Rational Numbers Assignment 3
• CBSE Worksheets for Class 7 Maths Rational Numbers Assignment 4
• CBSE Worksheets for Class 7 Maths Rational Numbers Assignment 5
• CBSE Worksheets for Class 7 Maths Rational Numbers Assignment 6

CBSE Worksheets for Class 7 Maths Simple Equations

• CBSE Worksheets for Class 7 Maths Simple Equations Assignment 1
• CBSE Worksheets for Class 7 Maths Simple Equations Assignment 2
• CBSE Worksheets for Class 7 Maths Simple Equations Assignment 3
• CBSE Worksheets for Class 7 Maths Simple Equations Assignment 4

CBSE Worksheets for Class 7 Maths symmetry

• CBSE Worksheets for Class 7 Maths symmetry Assignment

CBSE Worksheets for Class 7 Maths Triangle and its Properties

• CBSE Worksheets for Class 7 Maths Triangle and its Properties Assignment 1
• CBSE Worksheets for Class 7 Maths Triangle and its Properties Assignment 2
• CBSE Worksheets for Class 7 Maths Triangle and its Properties Assignment 3
• CBSE Worksheets for Class 7 Maths Triangle and its Properties Assignment 4
• CBSE Worksheets for Class 7 Maths Triangle and its Properties Assignment 5
• CBSE Worksheets for Class 7 Maths Comparing Quantities Assignment 1
• CBSE Worksheets for Class 7 Maths Comparing Quantities Assignment 2
• CBSE Worksheets for Class 7 Maths Comparing Quantities Assignment 3

Class 7 Maths Worksheets

• CBSE Worksheets for Class 7 Mathematics Assignment 1
• CBSE Worksheets for Class 7 Mathematics Assignment 2
• CBSE Worksheets for Class 7 Mathematics Assignment 3
• CBSE Worksheets for Class 7 Mathematics Assignment 4
• CBSE Worksheets for Class 7 Mathematics Assignment 5
• CBSE Worksheets for Class 7 Mathematics Assignment 6
• CBSE Worksheets for Class 7 Mathematics Assignment 7
• CBSE Worksheets for Class 7 Mathematics Assignment 8
• CBSE Worksheets for Class 7 Mathematics Assignment 9
• CBSE Worksheets for Class 7 Mathematics Assignment 10
• CBSE Worksheets for Class 7 Mathematics Assignment 11
• CBSE Worksheets for Class 7 Mathematics Assignment 12
• CBSE Worksheets for Class 7 Mathematics Assignment 13
• CBSE Worksheets for Class 7 Mathematics Assignment 14
• CBSE Worksheets for Class 7 Mathematics Assignment 15
• CBSE Worksheets for Class 7 Mathematics Assignment 16

Advantages of CBSE Class 7 Maths Worksheets

• By practising NCERT CBSE Class 7 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 7 Maths Workbook Helps to improve subject-knowledge.
• CBSE Class 7 Math Worksheets encourages classroom activities.

Worksheets of CBSE Class 7 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 7 Maths Chapter wise question bank pdf and access it anytime, anywhere for free. Browse further to download free CBSE Class 7 Maths Worksheets PDF .

Now that you are provided all the necessary information regarding CBSE Class 7 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 7 Math revision worksheets . And more importantly, students should need to follow through the worksheets after completing their syllabus.  Working on CBSE Class 7 Maths Worksheets will be a great help to secure good marks in the examination. So start working on Class 7 Math Worksheets to secure good score.

CBSE Worksheets For Class 7

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TDS Notes GitHub Repository

by Anand Iyer

Video Lectures Playlist

by IITM BSc

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by Kautuk Doshi

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Week 1 notes, week 1-8 notes january 2022 term, tds programming notes.

by Indranil Bhattacharya

Business Analytics

Github Repository Notes Weeks 1-7

All weeks lecture pdfs (by vinay ray).

by Chaitanya Kumaria

Machine Learning Practice

Scikit Learn Cheatsheet

Mlt lecture notes, notes github repository, github notes repository.

by Nagesh Mourya

Github Code Repository

by Viswajith Es

Machine Learning Cheatsheet

by Srinivasan

Machine Learning Techniques

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All weeks formulas and notes, numpy guide, github mlt repository, stanford ml cheatsheet (for end term).

System Commands

Week 1 notes

by Kashiful Haque

by Aarthi A

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Week 3 notes, week 4 notes, quiz 1 notes, week 5 notes, week 6 notes, regex consolidated notes, week 7 notes, command line editors, quiz 2 notes, week 8 notes, week 1-8 notes.

by Cherian George

Modern Application Development II

Week 9 Notes

Week 10 notes.

Programming Concepts Using Java

Java Quiz 1 Notes

Week 11 notes, week 12 notes.

Business Data Management

BDM-Week1-SummaryNotes

Week 1 to week 4 notes, bdm formulas, bdm week 1-4, bdm week 5 summary notes.

by S Shashank

Machine Learning Foundations

MLF Github Repository

Mlf quiz 1 - problems for practice, week 7 notes, mlf quiz 2 - problems for practice, week 8 notes, week 9 notes, mlf week 0,1.

by Hardik Sharma

MLF Week 10

Mlf week 11, mlf week 12, ml foundations week 1, ml foundations week 2.

by Visist Thallam

MLF Short Notes for Quiz-1

Quiz-2 (week 5 to 8) formula sheet, mlf week 1-12 formula list.

Modern Application Development I

AppDev-1 NOTES

Mad-1 week 1-4 (quiz1) notes.

by Sayan Ghosh

Programming, Data Structures and Algorithms using Python

Week 1 Notes (Colab Version)

Week 2 (colab version), pdsa week 1-2 notes (google colab notebooks), week 3 notes (colab version), week 4 notes (colab version), week 5 notes (colab version), python notes upto week-2, pdsa w5 shorts.

by Aditya Dwivedi

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Database Management Systems

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Week 3 notes (separate + merged), week 1-3 merged notes, week 4 merged notes, quiz 1 merged notes, week 5 notes, week 6 notes, week 7 notes, quiz 2 notes (merged), week 8 notes, week 9 notes, week 10 notes, quiz 3 notes, week 2 notes, dbms w11 notes.

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Python for Everybody Book (Python 3) (Reference) (Data Science Focused)

Python cheat sheet.

by Shashwat

Python Basics Blog

Basic principles on clean coding.

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Week 4 python notes, week 5 notes (functions), week 6 notes ( topic: python collections), week 8 python notes, python - full revision, week 10 notes (oop), week 11 notes (exception handling & functional programming), python book by iitm.

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Blog The Education Hub

https://educationhub.blog.gov.uk/2024/08/20/gcse-results-day-2024-number-grading-system/

GCSE results day 2024: Everything you need to know including the number grading system

Thousands of students across the country will soon be finding out their GCSE results and thinking about the next steps in their education.   

Here we explain everything you need to know about the big day, from when results day is, to the current 9-1 grading scale, to what your options are if your results aren’t what you’re expecting.  

When is GCSE results day 2024?  

GCSE results day will be taking place on Thursday the 22 August.     

The results will be made available to schools on Wednesday and available to pick up from your school by 8am on Thursday morning.  

Schools will issue their own instructions on how and when to collect your results.   

When did we change to a number grading scale?  

The shift to the numerical grading system was introduced in England in 2017 firstly in English language, English literature, and maths.  

By 2020 all subjects were shifted to number grades. This means anyone with GCSE results from 2017-2020 will have a combination of both letters and numbers.  

The numerical grading system was to signal more challenging GCSEs and to better differentiate between students’ abilities - particularly at higher grades between the A *-C grades. There only used to be 4 grades between A* and C, now with the numerical grading scale there are 6.  

What do the number grades mean?  

The grades are ranked from 1, the lowest, to 9, the highest.  

The grades don’t exactly translate, but the two grading scales meet at three points as illustrated below.  

The bottom of grade 7 is aligned with the bottom of grade A, while the bottom of grade 4 is aligned to the bottom of grade C.    

Meanwhile, the bottom of grade 1 is aligned to the bottom of grade G.  

What to do if your results weren’t what you were expecting?  

If your results weren’t what you were expecting, firstly don’t panic. You have options.  

First things first, speak to your school or college – they could be flexible on entry requirements if you’ve just missed your grades.   

They’ll also be able to give you the best tailored advice on whether re-sitting while studying for your next qualifications is a possibility.   

If you’re really unhappy with your results you can enter to resit all GCSE subjects in summer 2025. You can also take autumn exams in GCSE English language and maths.  

Speak to your sixth form or college to decide when it’s the best time for you to resit a GCSE exam.  

Look for other courses with different grade requirements     

Entry requirements vary depending on the college and course. Ask your school for advice, and call your college or another one in your area to see if there’s a space on a course you’re interested in.    

Consider an apprenticeship    

Apprenticeships combine a practical training job with study too. They’re open to you if you’re 16 or over, living in England, and not in full time education.  

As an apprentice you’ll be a paid employee, have the opportunity to work alongside experienced staff, gain job-specific skills, and get time set aside for training and study related to your role.   

You can find out more about how to apply here .  

Talk to a National Careers Service (NCS) adviser    

The National Career Service is a free resource that can help you with your career planning. Give them a call to discuss potential routes into higher education, further education, or the workplace.   

Whatever your results, if you want to find out more about all your education and training options, as well as get practical advice about your exam results, visit the  National Careers Service page  and Skills for Careers to explore your study and work choices.   

You may also be interested in:

• Results day 2024: What's next after picking up your A level, T level and VTQ results?
• When is results day 2024? GCSEs, A levels, T Levels and VTQs

Tags: GCSE grade equivalent , gcse number grades , GCSE results , gcse results day 2024 , gsce grades old and new , new gcse grades

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Procedure, Example Solved Problem | Operations Research - Solution of assignment problems (Hungarian Method) | 12th Business Maths and Statistics : Chapter 10 : Operations Research

Chapter: 12th business maths and statistics : chapter 10 : operations research.

Solution of assignment problems (Hungarian Method)

First check whether the number of rows is equal to the numbers of columns, if it is so, the assignment problem is said to be balanced.

Step :1 Choose the least element in each row and subtract it from all the elements of that row.

Step :2 Choose the least element in each column and subtract it from all the elements of that column. Step 2 has to be performed from the table obtained in step 1.

Step:3 Check whether there is atleast one zero in each row and each column and make an assignment as follows.

Step :4 If each row and each column contains exactly one assignment, then the solution is optimal.

Example 10.7

Solve the following assignment problem. Cell values represent cost of assigning job A, B, C and D to the machines I, II, III and IV.

Here the number of rows and columns are equal.

∴ The given assignment problem is balanced. Now let us find the solution.

Step 1: Select a smallest element in each row and subtract this from all the elements in its row.

Look for atleast one zero in each row and each column.Otherwise go to step 2.

Step 2: Select the smallest element in each column and subtract this from all the elements in its column.

Since each row and column contains atleast one zero, assignments can be made.

Step 3 (Assignment):

Thus all the four assignments have been made. The optimal assignment schedule and total cost is

The optimal assignment (minimum) cost

Example 10.8

Consider the problem of assigning five jobs to five persons. The assignment costs are given as follows. Determine the optimum assignment schedule.

∴ The given assignment problem is balanced.

Now let us find the solution.

The cost matrix of the given assignment problem is

Column 3 contains no zero. Go to Step 2.

Thus all the five assignments have been made. The Optimal assignment schedule and total cost is

The optimal assignment (minimum) cost = ` 9

Example 10.9

Solve the following assignment problem.

Since the number of columns is less than the number of rows, given assignment problem is unbalanced one. To balance it , introduce a dummy column with all the entries zero. The revised assignment problem is

Here only 3 tasks can be assigned to 3 men.

Step 1: is not necessary, since each row contains zero entry. Go to Step 2.

Step 3 (Assignment) :

Since each row and each columncontains exactly one assignment,all the three men have been assigned a task. But task S is not assigned to any Man. The optimal assignment schedule and total cost is

The optimal assignment (minimum) cost = ₹ 35

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CBSE Class 12 Physics Competency-Based Questions With Answer Key 2024-25: Chapter 1 Electrostatics FREE PDF Download

Cbse class 12 physics chapter 1 practice questions 2025: the 2024-25 competency-focused questions for cbse class 12 physics electrostatics are given here. check and download the mcqs and free response questions in pdf format..

CBSE Class 12 Physics Chapter 1 Competency-Based Questions

1. The capacitance of a capacitor is Co. It is connected to a battery of voltage V   which charges the capacitor. With the capacitor still connected to the battery,   a slab of dielectric material is introduced between the plates of the capacitor.   Which  of  the  following explains  the effect  of  the  dielectric  slab in  the above   situation? 

A. The electric field between the plates of the capacitor rises. 

B. The potential difference between the plates falls. 

C. The total charge on the capacitor increases. 

D. The ability of the capacitor to store charge decreases. 

2. The image below shows two examples of electric field lines. 

Which of the following statements is true? 

A. The electric fields in both I and II arise due to a single positive point charge  located somewhere on the left. 

B. The  electric  fields  in  both  I  and  II  can  be  created  by  negative  charges  located  somewhere on  the left and positive charges  somewhere on  the  right. 

C. The electric  field  in I  is  the  same everywhere  but  the electric  field  in II  becomes stronger as we move from left to right. 

D. As you move from left to right, the electric fields in both I and II become  stronger. 

3. In a given region, electric potential varies with position as V(x) = 3 + 2x 2 . Identify which of the following statements is correct. 

A. Potential difference between the two points x = 2 and x = ‐2 is 2 V. 

B. A charge of 1 C placed at x = 2 experiences a force of 6 N. 

C. The force experienced by the above charge is along +x ‐ axis. 

D. The electric field in the given region is non‐uniform along x ‐ axis. 

4. A parallel plate capacitor is charged to a potential difference V. Two protons P   and Q are placed at the two locations inside the capacitor as shown. 

Which one of the statements is correct? 

A. The forces on the two protons are identical. 

B. The  force on proton P near  the positive plate is more  than  the force on  proton Q. 

C. The force on proton Q near the negative plate is more than the force on  proton P. 

D. The forces on both the protons are zero. 

5. In a given region of an electric field, there is no charge present. A closed container  is placed in this region of the electric field.  What is  the  requirement  for  the  total  flux  through  the closed container  to be  zero? 

A. The field must be uniform. 

B. The container must be symmetric. 

C. The container must be oriented in a particular direction. 

D. There is no such requirement. The total flux through the container is zero  no matter what

6. A uniform electric field of 5000 V/m exists in a certain region. What volume of   this space will contain energy equal to 10‐6 J? (Take ∈o = 8.8 x10‐12  SI units) 

B. 9 x 10 ‐3 m 3

C. 9 x 10 ‐6 m 3

D. 9 x 10 3 m 3

7. Given are three different square arrangements of charges. 

(a) Draw relevant vector diagrams to represent the resultant electric field ER at  the center of the square in each case. 

(b) Identify the arrangement in which the resultant electric field is the smallest  at the center of the square. 

8. The figure below shows an arrangement of four charges along with some electric   field lines drawn between the charges. 

(a) Identify three things that are incorrect in this figure. 

(b) Draw a correct diagram representing the electric field lines for this system of  charges. 

9. In  the  case  of  a  spherical  charged  conductor  of  radius  R,  hollow  or  solid,  the   electric potential is constant and maximum inside and on the surface.  On the outside, the electric potential varies as,  where r is the distance from the center of the sphere. 

(a) Represent the variation of electric potential due to a charged sphere with   distance graphically. 

(b) How  does  the  electric  field  intensity  due  to  a  charged  sphere  vary  with   distance r from the center in the above case? 

(c) Represent the variation of electric field intensity due to a charged sphere   with distance graphically. 

10. For a given charge distribution, an equipotential surface is the locus of all points 

having the same potential. 

Draw two equipotential surfaces for each of the following: 

(a) a uniform electric field 

(b) a point charge 

(c) an infinite straight line of charge 

11. Study the graph between electric field intensity E versus the distance r. 

(a) Describe the nature of variation of electric field intensity between r = 0 and  r ≤ a. 

(b) Describe the nature of variation of electric field intensity for r > a. 

(c) Give an  example  of  the  body  of  charge  distribution  that  can  exhibit  the  above studied electric field distribution. 

12. Given is a pair of parallel charged metal plates in the arrangement as shown. 

(a) Sketch the electric field lines between the plates in I and II.

(b) Mention  whether  net electric  field  intensity  is  zero  or  non‐zero  in  each  case. 

13. The  dielectric  strength of a medium is  the minimum electric  field  required  to  cause ionization of the medium. For air, this value is taken as 3 million V/m.  With this information, find out if a metal sphere of radius 1 cm, surrounded by  air, can hold a charge of 1 coulomb. 

14. (a) If electric field strength at a point is zero at a given point, then what can you   say about the electric potential at that point? Explain. 

(b) In the two instances below, state whether electric field intensity and electric   potential are zero or non zero at the mid‐point joining the two‐point charges. 

15. A metal sphere A of radius a is charged to a potential V. It is enclosed inside a  hollow metal shell B of radius b.  

What will be the potential of A if it is connected to shell B by a conducting wire?  Show the working. 

• CBSE Class 12 Maths Competency-Based Questions With Answer Key 2024-25: Chapter 1 Relations and Functions
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Tips To Prepare For Board Exam 

• Create a Study Plan: Making study plan befor exam will beneficial for students. Break your syllabus into small sections as per your comfort level and allocate time for each subject based on its difficulty and your comfort level with it.
• Understand the Syllabus: Make sure you are familiarise your exam syllabus and ensure you cover all topics. Focus on important and high-weightage topics
• Use Quality Study Materials: Rely on NCERT or prescribed textbooks as they are usually the basis for board exams. Use additional reference books and guides for more in-depth understanding if necessary.
• Practice Past Papers: Practice last year board exam sample papers to get a feel for the types of questions asked and the exam format. Take timed mock tests to improve your speed and accuracy.
• Focus on Conceptual Understanding: Ensure you understand the concepts thoroughly rather than just memorising facts.
• Regular Revision: Regularly revise what you've studied to brushup your memory. Make concise notes for quick revision of key points.
• Manage Stress: Practice stress management techniques like deep breathing, meditation, or light exercise. Take regular breaks during study sessions to avoid burnout.
• Stay Positive and Motivated: Set achievable goals and reward yourself for meeting them. Keep a positive mindset and remind yourself of your goals and progress.
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How to Earn Money by Solving Math Problems

If you’re a talented mathematician and are looking for ways to make money solving math problems, then there are tons of platforms online where you can put your skills to work. Your expertise are invaluable to other students. By simply doing what you do best, you have a chance to help others build their math knowledge and make money in the process.

We’ve scoured the web and put together a list of websites and apps where you can make money by either solving math problems posted by students around the world or by tutoring other children who are struggling with math.

Below is a list of our Top 7 websites where you can earn money by solving math problems:

1. Money Games

Money Games is a website that allows you to play games involving math with lucky winners standing a chance to win monthly prizes. The games on the website including counting, addition, subtraction, multiplication, division and factorisation.

2. Slitherio

Slitherio is a math game that let's you solve math problems in a the format of a math snake game and stand a chance of winning $100 by scoring points in the game. The aim of the game is to solve math questions correctly to improve you score and avoid crashing into yourself which will end your game. Getting a score gives you a chance of winning the $100 prize.

3. Study.com

Study.com is an online learning platform that uses video lessons to make education affordable, effective, and engaging. You can apply to be a freelancer for Study.com Expert Q&A where you will write clear, step-by-step answers to a database of thousands of user-submitted questions. While you become a pro in maths and start earning cash, you'll be helping other students understand challenging concepts and improve their skills too. All you need is a computer with reliable internet and away you go!

Preply is an online tutoring platform, where people around the world can offer their educational services in anything from mathematics, art, and humanities, to business and natural sciences. You can opt to become a tutor in maths in your home language and charge students hourly for your services. You can make anything from $3 to $100 an hour depending on your qualifications and experience. Because you can select your weekly availability, it’s a great way to earn some extra money teaching math in your free time.

Like Preply, Upwork is also a freelance tutoring network but on a bigger scale. This comes with its benefits, like a larger customer base and potential for work, but also its pitfalls, like having to compete with many other people for those customers. Upwork requires a more senior level of math expertise than some of the other platforms listed, and, therefore, isn’t a good option for high school or university students wanting to make money teaching maths.

To apply for a job on Upwork, all you need to do is create a profile and start applying for math tutoring jobs by sending through proposals about your offerings. If the customer likes your bid, then you’ve got the job!

There are plenty of freelance online tutoring platforms to choose from, but Yup.com is another one of our favourites and enormously popular. Their user-friendly interface allows you to dig straight into the teaching and avoid spending hours trying to figure out and navigate their interface. What’s more is that hours are accumulated and paid out monthly, creating a steady and consistent flow of income.

Getting started is slightly more tough as you will be required to complete a Math proficiency and Teaching exam - a task that should be easily accomplished if you’re wanting to teach other kids math! To get started, set up your tutoring profile and determine your availability. The rest will follow.

7. Math Cash App

The Math Cash App offers a plethora of ways to earn money, not just by doing math. For example, you can do crossword puzzles and Sudoku or participate in the mystery number challenge. The most popular way, however, is to challenge other players to a math duel. You get one minute to solve a set of 20 math questions and you have to be the first to complete the challenge before the time runs out. And the time runs out quick! Most of the questions involve addition, subtraction, division, and combination problems - a great way to improve your quick thinking arithmetic.

You earn approximately $1 for every 1000 points, so it might take a while to actually make some decent money. The minimum payout is $5.00 via PayPal, which they transfer to you pretty quickly.

Perhaps for the more advanced expert, Chegg may be one of the most well-known online tutoring websites. Chegg seeks mathematicians who are skilled in advanced or basic math concepts who can facilitate students with any or all of their math needs.

You can download the app and apply for a position where you will answer the problems submitted by students. You will receive monthly payments for your contributions, which range around $20 per hour. Download the app to ensure you’re constantly connected and earning money helping students with their math.

9. PhotoMath

Considered one of the Top 5 educational apps on both the Google Play Store and App Store, Photomath offers positions to those who have a passion for solving math problems. Apply for the position of Math Content Contributor and provide answers and solutions to high school and college-level math questions.

Each math question posted has a predefined rate based on its complexity, which you will receive for your contribution. Compensation is determined by the number of math problems you solve and review, and how long you spent solving the task. Math lovers can earn up to $100 a week helping solve student’s math queries.

10. Jump Math

Jump Math is a math game that let's you solve math problems by jumping on the correct answers. You get points if you hop on the correct answers. You can stand a chance of winning $100 by getting a minimum score which gets you a ticket into a $100 lotto draw.

Other Notable Mentions

• Tutor.com - A fully online tutoring service, for professionals.
• Eduboard - Expert tutoring for over 30 different subjects, including maths, physics, and chemistry.
• School Solver - A homework and assignment helping platform where students post homework questions.
• Growing Stars - A one-on-one tutoring platform for grades 3 to 12.
• OneClass - In addition to being paid for helping students with their homework, you can also be compensating when sharing your study notes with other university students taking the same courses as you.

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