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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.

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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.

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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.

Math WorksheetsKhan Academy
Math worksheets take forever to hunt down across the internetKhan Academy is your one-stop-shop for practice from arithmetic to calculus
Math worksheets can vary in quality from site to siteEvery Khan Academy question was written by a math expert with a strong education background
Math worksheets can have ads or cost moneyKhan Academy is a nonprofit whose resources are always free to teachers and learners – no ads, no subscriptions
Printing math worksheets use up a significant amount of paper and are hard to distribute during virtual learningKhan Academy practice requires no paper and can be distributed whether your students are in-person or online
Math worksheets can lead to cheating or a lack of differentiation since every student works on the same questionsKhan Academy has a full question bank to draw from, ensuring that each student works on different questions – and at their perfect skill level
Math worksheets can slow down student learning since they need to wait for feedbackKhan Academy gives instant feedback after every answer – including hints and video support if students are stuck
Math worksheets take up time to collect and take up valuable planning time to gradeKhan Academy questions are graded instantly and automatically for you

What do Khan Academy’s interactive math worksheets look like?

Here’s an example:

What are teachers saying about Khan Academy’s interactive math worksheets?

“My students love Khan Academy because they can immediately learn from their mistakes, unlike traditional worksheets.”

Is Khan Academy free?

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

What do Khan Academy’s interactive math worksheets cover?

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

Is Khan Academy a company?

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

Want to get even more out of Khan Academy?

Then be sure to check out our teacher tools . They’ll help you assign the perfect practice for each student from our full math curriculum and track your students’ progress across the year. Plus, they’re also 100% free — with no subscriptions and no ads.

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Math Solver

Geogebra math solver.

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What can QuickMath do?

QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students.

  • The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and cancelling common factors within a fraction.
  • The equations section lets you solve an equation or system of equations. You can usually find the exact answer or, if necessary, a numerical answer to almost any accuracy you require.
  • The inequalities section lets you solve an inequality or a system of inequalities for a single variable. You can also plot inequalities in two variables.
  • The calculus section will carry out differentiation as well as definite and indefinite integration.
  • The matrices section contains commands for the arithmetic manipulation of matrices.
  • The graphs section contains commands for plotting equations and inequalities.
  • The numbers section has a percentages command for explaining the most common types of percentage problems and a section for dealing with scientific notation.

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Discover Frequently Asked Math Questions and Their Answers

  • How do you write the quadratic function #y=x^2+14x+11# in vertex form?
  • How many points does #y=-2x^2+x-3# have in common with the vertex and where is the vertex in relation to the x axis?
  • How do you solve #4x^4 - 16x^2 + 15 = 0#?
  • How do you solve #2x^2+3x-2=0#?
  • How do you solve #7(x-4)^2-2=54# using any method?
  • How do you solve #x^2 + 5x + 6 = 0# algebraically?
  • How do you use factoring to solve this equation #3x^2/4=27#?
  • What is the vertex of # y = (1/8)(x – 5)^2 - 3#?
  • How do you solve #| x^2+3x-2 | =2#?
  • How do you solve #2x²+3x=5 # using the quadratic formula?
  • How do you find the derivative of #y=tan(3x)# ?
  • How do you differentiate #f(x)= 1/ (lnx)# using the quotient rule?
  • How do you differentiate #(3+sin(x))/(3x+cos(x))#?
  • What is the derivative of this function #sin^-1(x/4)#?
  • What is the derivative of this function #y=sin^-1(2x)#?
  • What is the derivative of this function #arcsec(x^3)#?
  • What is the derivative of #y=sin(tan2x)#?
  • How do you differentiate #cos(pi*x^2)#?
  • What is the derivative of #f(x)=(x^2-4)ln(x^3/3-4x)#?
  • What is the derivative of #y=3sin(x) - sin(3x)#?
  • A triangle has corners at #(5 ,1 )#, #(2 ,9 )#, and #(4 ,3 )#. What is the area of the triangle's circumscribed circle?
  • How can we find the area of irregular shapes?
  • A triangle has vertices A, B, and C. Vertex A has an angle of #pi/2 #, vertex B has an angle of #( pi)/3 #, and the triangle's area is #24 #. What is the area of the triangle's incircle?
  • An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,1 )# to #(8 ,5 )# and the triangle's area is #27 #, what are the possible coordinates of the triangle's third corner?
  • A triangle has corners at #(7 , 9 )#, #(3 ,7 )#, and #(4 ,8 )#. What is the radius of the triangle's inscribed circle?
  • Circle A has a center at #(2 ,3 )# and a radius of #1 #. Circle B has a center at #(0 ,-2 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them?
  • A parallelogram has sides A, B, C, and D. Sides A and B have a length of #2 # and sides C and D have a length of # 7 #. If the angle between sides A and C is #pi/4 #, what is the area of the parallelogram?
  • What is a quadrilateral that is not a parallelogram and not a trapezoid?
  • Your teacher made 8 triangles he need help to identify what type triangles they are. Help him?: 1) #12, 16, 20# 2) #15, 17, 22# 3) #6, 16, 26# 4) #12, 12, 15# 5) #5,12,13# 6) #7,24,25# 7) #8,15,17# 8) #9,40,41#
  • A triangle has corners A, B, and C located at #(3 ,5 )#, #(2 ,9 )#, and #(4 , 8 )#, respectively. What are the endpoints and length of the altitude going through corner C?
  • What is the GCF of the set #64, 16n^2, 32n#?
  • How do you write the reciprocal number of 5?
  • Jeanie has a 3/4 yard piece of ribbon. She needs one 3/8 yard piece and one 1/2 yard piece. Can she cut the piece of ribbon into the two smaller pieces? Why?
  • How do you find the GCF of #25k, 35j#?
  • How do you write 132/100 in a mixed number?
  • How do you evaluate the power #2^3#?
  • How do you simplify #(4^6)^2 #?
  • How do you convert 3.2 tons to pounds?
  • How do you solve #\frac { 5} { 8} + \frac { 3} { 2} ( 4- \frac { 1} { 4} ) - \frac { 1} { 8}#?
  • What are some acronyms for PEMDAS?
  • How do you find all the asymptotes for function #y=(3x^2+2x-1)/(x^2-4 )#?
  • How do you determine whether the graph of #y^2+3x=0# is symmetric with respect to the x axis, y axis or neither?
  • How do you determine whether the graph of #y^2=(4x^2)/9-4# is symmetric with respect to the x axis, y axis, the line y=x or y=-x, or none of these?
  • How do you find the end behavior of #-x^3+3x^2+x-3#?
  • How do you find the asymptotes for #(2x^2 - x - 38) / (x^2 - 4)#?
  • How do you find the asymptotes for #f(x) = (x^2) / (x^2 + 1)#?
  • How do you find the vertical, horizontal and slant asymptotes of: #(3x-2) / (x+1)#?
  • How do you find the Vertical, Horizontal, and Oblique Asymptote given #s(t)=(8t)/sin(t)#?
  • How do you find vertical, horizontal and oblique asymptotes for #(x^3+1)/(x^2+3x)#?
  • How do you find vertical, horizontal and oblique asymptotes for #y = (4x^3 + x^2 + x + 5 )/( x^2 + 3x)#?
  • What is a pooled variance?
  • What is the mean, mode median and range of 11, 12, 13, 12, 14, 11, 12?
  • What is the z-score of sample X, if #n = 81, mu= 43, St. Dev. =90, and E[X] =57#?
  • The camera club has five members, and the mathematics club has eight. There is only one member common to both clubs. In how many ways could a committee of four people be formed with at least one member from each club?
  • How many permutations are there of the letter in the word baseball?
  • How do you evaluate 6p4?
  • What is the probability of #X= 6# successes, using the binomial formula?
  • A lottery has a $100 000 first prize, a $25 000 second prize, and five $500 third prizes. A total of 50000 tickets are sold. What is the probability of winning a prize in this lottery?
  • When a event is reported, the probability that is a negative event is 30%. What is the probability that 3 out of 5 reported events are negative?
  • What is the median of 5, 19, 2, 28, 25?
  • How do you solve this trigonometric equation?
  • What is the frequency of #f(theta)= sin 3 t - cos2 t #?
  • How do you evaluate #Sin(pi/2) + 6 cos(pi/3) #?
  • How do you find the values of all six trigonometric functions of a right triangle ABC where C is the right angle, given a=9, b=40, c=41?
  • How do you express (5*pi)/4 into degree?
  • Solve for θ on the interval [90°,180°]:2tanθ +19 = 0?
  • Prove that #((cos(33^@))^2-(cos(57^@))^2)/((sin(10.5^@))^2-(sin(34.5^@))^2)= -sqrt2# ?
  • A triangle has sides A, B, and C. The angle between sides A and B is #(pi)/3# and the angle between sides B and C is #pi/6#. If side B has a length of 26, what is the area of the triangle?
  • How do you write the following in trigonometric form and perform the operation given #(sqrt3+i)(1+i)#?
  • A triangle has sides A, B, and C. The angle between sides A and B is #(2pi)/3#. If side C has a length of #32 # and the angle between sides B and C is #pi/12#, what is the length of side A?

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5 Pointers and Techniques to Best Learn Mathematics Help with Math HomeworkFocus On Mastering The First Topic Before Moving To The Next One Although this may sound basic, it is absolutely essential. If you are learning algebra for example, and you are having a hard time understanding the concepts.... Read More

18 Power Packed Formula to Boost Your Math Exam Grades Every college student aspires to excel in mathematics, which demands adequate preparation. While studying before you sit for your exam is the first step to scoring highly, you must apply the right formulae when solving questions. We have differ... Read More

Exploring Different Approaches to Solving Math Problems: A Comprehensive Guide Both amateur and expert minds can benefit from the mental exercise that mathematics provides. Math issues can range from elementary arithmetic to advanced calculus. Some mathematical issues are easy to solve with just a ... Read More

Common Mistakes to Avoid in Math Problem Solving Although tackling mathematical problems might be difficult, knowing and avoiding common pitfalls can make all the difference in the world. In this piece, we'll go over 10 typical errors made by students while attempting to solve math problems, and of... Read More

How to Excel in Math Assignments: Effective Study Techniques and Strategies Many students find mathematics to be difficult, but with the correct study methods, you can feel confident in your math assignment. Furthermore, mathassignmenthelp.com offers reliable tools to help you solve your math assig... Read More

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The Art of Problem-Solving: Techniques for Approaching Challenging Math Assignments If you need help with your math assignment, go no further than mathassignmenthelp.com. Do you find that you have a hard time doing your math assignment? Do you panic when you have to solve difficult mathematical pro... Read More

Top 10 Tips for Successfully Completing Math Assignments Despite the difficulties, you can do your math assignment if you use the appropriate approach. The best ten strategies for doing your math assignment are discussed in this post. These suggestions will aid you in handling your workload and ach... Read More

Many students discover that they require help and support to get through the challenges they encounter during math exams. It is possible to feel overwhelmed and anxious due to the pressure to perform well and the intricacies of mathematical concepts. This is where math exam assistance comes in... Read More

For students, maths assignments frequently be a source of stress and anxiety. The process can be intimidating due to the challenging problems, intricate formulas, and worry about making mistakes. But with the right approach and a collection of useful techniques, completing maths assignments qu... Read More

Chaos theory and fractals are captivating fields within mathematics and science that often leave students both fascinated and perplexed. The intricate patterns and unpredictable behavior of chaotic systems, along with the self-similarity and complexity of fractals, can be both mesmerizing and... Read More

Representation theory is a branch of mathematics that plays a pivotal role in various areas, from physics to group theory. At its core, representation theory seeks to understand the structure of groups by studying how they can be realized as linear transformations on vector spaces. One of the centra... Read More

The Chinese Remainder Theorem (CRT) is a fundamental result in number theory with a rich history dating back over two millennia. It provides a powerful method for solving systems of congruences, and its applications extend far beyond the realm of mathematics into computer science, cryptograph... Read More

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The Traveling Salesman Problem (TSP) is a classic conundrum in the field of computer science and optimization. First defined in the 1800s, this problem continues to captivate researchers and practitioners alike due to its practical applications in logistics, transportation, and beyond. In this ... Read More

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Nonlinear programming (NLP) is a mathematical approach used to optimize complex, nonlinear objective functions subject to constraints. In real-world scenarios, many optimization problems are nonlinear and involve various constraints, making them challenging to solve. Fortunately, the Karush-Kuhn-Tuc... Read More

In today's dynamic educational landscape, TinkerCell stands as a revolutionary force, fundamentally changing the way university students approach and solve their maths assignment, helping them conquer complex math assignments. This powerful open-source software transcends its roots in synthet... Read More

In the realm of university-level mathematics, MuPAD stands as an invaluable ally for students navigating the often intricate landscapes of algebra, calculus, linear algebra, and statistics. Its multifaceted capabilities redefine the approach to mathematical assignments, making it an essential... Read More

When it comes to conquering the formidable challenges of university-level mathematics assignments, students often seek a secret weapon to simplify the complex and unlock their full potential. Enter the GNU Scientific Library (GSL), a versatile and powerful ally that has transformed the way st... Read More

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In the captivating realm of mathematics, university students often encounter formidable challenges—complex equations, intricate geometric proofs, and abstract theorems that seem as elusive as Cinderella's enchanted carriage at midnight. However, just as Cinderella's fairy godmother transforme... Read More

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Optimization, a foundational concept spanning mathematics, computer science, engineering, and economics, encapsulates the quest for the optimal solution within a set of feasible options. Within this broad landscape, linear and nonlinear programming emerge as pivotal branches, integral to navi... Read More

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Game theory, a branch of mathematics that models strategic interactions among rational decision-makers, has found applications in diverse fields, including economics, political science, biology, and more recently, education. In this blog, we delve into the realm of game theory in the context ... Read More

Linear algebra, a fundamental branch of mathematics, holds a pivotal role across diverse disciplines including physics, computer science, economics, and engineering, where its applications permeate through complex problem-solving endeavors. Its omnipresence renders it an indispensable tool, p... Read More

In the vast landscape of mathematics, discrete mathematics emerges as a crucial and foundational branch that extends its influence across diverse fields, ranging from the intricacies of computer science to the fortifications of cryptography. As we embark on this exploration, our journey will ... Read More

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Real Analysis, nestled in the expansive realm of mathematics, emerges as a pinnacle of intellectual challenge, beckoning students to embark on a profound exploration of the intricate facets of calculus at an advanced level. This journey, whether undertaken by a seasoned mathematics major or an ... Read More

Linear algebra, a fundamental branch of mathematics, serves as a cornerstone in numerous scientific and engineering disciplines, making it an essential knowledge base for individuals embarking on careers in computer science, physics, economics, and engineering alike. The intricate principles th... Read More

Complex analysis, a captivating realm within mathematics, intricately weaves together the study of complex numbers and functions, forming an expansive journey that transcends mere mathematical abstractions. Within this enigmatic world, profound intricacies unfold, inviting exploration and under... Read More

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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

mathematics assignment solving

  • 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.

Ultimate Math Solver (Free) Free Algebra Solver ... type anything in there!

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Choose a Main Topic to Create Custom Math Worksheets

If you have a specific math skill that you are interested in focusing in on, you can also choose the categories below to generate math worksheets that key in on that exact skill. Just click on the category below.

Addition – 345 + 3,586 Algebra – x 2 + 72 = 234 Decimals – 5.236 + 17.46 = 22.696 Division – 255 ÷ 5 = 51 Fractions – ½ + ¼ = ¾ Factors and Multiples – Factor List of 64 = 1, 2, 4, 8, 16, 32 and 64. Mixed Operations – 8 + 12 x (4 – 1) = 44 Multiplication – 128 x 6 = 768 Number Charts and Graphs – 2, 4, 6, 8, 10, 12, 14, 16…. Pre-Algebra – x + 2 = 14 Subtraction – 589,478 – 512,365 = 77,113 Time – 13 hours after 8:13 am is 9:13 pm. Word Problems – We have a lesson that shows you step-by-step how to solve word problems. We also have a ton of available word problems for you.

How to Use These Math Worksheet With Students

Identifying Learning Objectives and Clear Explanation: To effectively use math worksheets with students on a regular basis, it is crucial to begin by identifying specific learning objectives. Determine the particular math skills or concepts that you want your students to practice and master. Make sure that these objectives align with the curriculum and learning goals for their grade level. Once you’ve established your learning objectives, start each math lesson with a clear and concise explanation of the targeted concept or skill. Provide examples and step-by-step instructions to ensure that students have a solid understanding of the material before they begin working on the worksheets.

Gradual Progression and Differentiation

When incorporating math worksheets into your teaching strategy, consider the principle of gradual progression. Start with simpler worksheets that introduce foundational concepts and gradually increase the complexity of the worksheets as students become more proficient. It’s essential to ensure that each worksheet builds upon the knowledge and skills they’ve acquired from previous lessons. Moreover, differentiation is key to meeting the diverse needs of your students. Tailor the worksheets to match the individual requirements of your learners. Some students may benefit from more practice, while others may need more challenging problems to stay engaged and motivated. Utilize a variety of worksheets with different levels of difficulty to cater to various learning abilities within your classroom.

Consistent Practice and Monitoring Progress

Encourage students to engage in consistent practice with math worksheets. This practice should ideally be integrated into their daily or weekly homework assignments. Regular practice helps reinforce skills and builds students’ confidence in their mathematical abilities. As they work through the worksheets, it’s crucial to monitor their progress. Keep track of how they are performing, identify areas where they may need additional support, and provide feedback on their completed worksheets to help them learn from their mistakes and improve.

Variety and Interactive Learning

To keep math learning engaging and varied, incorporate a variety of worksheet formats into your teaching approach. These formats can include multiple-choice questions, fill-in-the-blank exercises, word problems, and even hands-on activities when appropriate. Encourage students to work on worksheets collaboratively or in pairs to promote discussion and enhance their problem-solving skills. Additionally, consider integrating technology and online resources to make math practice interactive and more engaging for your students.

Review, Support, and Assessment

Periodically use worksheets as a review tool to revisit previously learned concepts and ensure that students retain their knowledge. Offer additional support resources, such as explanations, videos, or one-on-one assistance, for students who may be struggling with specific concepts. To assess overall progress, use quizzes, tests, or informal assessments to gauge students’ understanding and mastery of math concepts. Finally, celebrate students’ achievements and improvements in math regularly. Positive reinforcement can motivate them to continue practicing and learning, fostering a positive learning environment.

Incorporating math worksheets as part of a comprehensive math education strategy can help students develop strong math skills and improve their overall mathematical fluency. It’s important to strike a balance between using worksheets and other teaching methods to create a well-rounded learning experience for your students.

Browse Course Material

Course info.

  • Prof. Yufei Zhao

Departments

  • Mathematics

As Taught In

Learning resource types, mathematical problem solving (putnam seminar), assignments.

Each week there is a lecture (usually by a guest lecturer) on a specific topic or technique, accompanied by a homework problem set. In the following class, students present solutions to problems from the homework. In addition, each week the class is assigned a list of “supplementary problems” ranging from all topics, not necessarily related to the lecture.

Each problem set contains a (sometimes long) list of problems. You are encouraged to work on as many as you like, but only hand in your six best solutions, at least four from the topics problem set based on the lecture. For multi-part problems, you may decide what counts as “one solution,” as long as it is reasonable (i.e., not too trivial).

SES # TOPICS ASSIGNMENTS
1–2 Hidden independence and uniformity

3–4 Sums and integrals

5–6 Analysis

7–8 Recurrences

9–10 Inequalities

11–12 Probability

13–14 Linear algebra

15–16 Abstract algebra

17–18 Congruences

19–20 Combinatorial configurations

21–22 Generating functions

Additional Topics from Previous Editions of the Course

TOPICS ASSIGNMENTS
The Pigeonhole principle

Integer part

Roots of polynomials

Limit problems

Acknowledgements

Other than those listed below, all problem sets were created by anonymous guest lecturers.

  • All supplementary problems, Hidden independence and uniformity problems , Probability problems , and additional topics assignments from previous editions are based on files created by Prof. Richard Stanley in earlier versions of the course.
  • Sums and integrals problems courtesy of Even Chen, a guest lecturer in the class.
  • Inequalities problems courtesy of Mehtaab Sawhney, a guest lecturer in the class.
  • Congruences problems courtesy of Junyao Peng, a guest lecturer in the class.

All files are used with permission.

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STEP Support - Assignment 1

mathematics assignment solving

Introduction

Welcome to the STEP Support programme. This is the first of 25 Assignments designed to develop your advanced problem-solving skills.

STEP is a challenging examination, and is different in style from A-level, although the mathematical content is the same. STEP questions are longer: they are designed to take around 30 minutes, rather than the typical 10 minutes required for an A-level question.

Do not worry if the STEP problems appear difficult: they are meant to be! However, you should not be daunted. These assignments are designed to help you to develop the skills you need, over time, so that by the time you sit the STEP exam in the summer of Y13 you will feel well-prepared.

About this assignment

The assignment is published as a pdf file below. Each STEP Support assignment module starts with a warm-up exercise, followed by preparatory work leading to a STEP question. Finally, there is a warm-down exercise.

The warm up for this assignment involves manipulating surds and simplifying them. The answers to the last part can be expressed surprisingly neatly!

The main STEP question (2005 STEP 1 Question 3) is all about the solutions (or roots) of quadratic equations, and whether an equation has 0, 1 or 2 real roots. As is often the case with STEP questions, the coefficients in the equation are not numerical (they are in terms of parameters such as a, b and c).

The final question gives a slightly surprising result. A clear diagram with all the given information shown on it is a good starting point.

PDF icon

Further reading

An introduction to problem solving can be found here .

For more on Holditch's theorem see these entries in Wolfram Mathworld and Wikipedia . A discussion on the accuracy of $\pi$ can be found here . This Plus article discusses a counter-intuitive problem with circles.

Hints, support and self evaluation

The “Hints and partial solutions for Assignment 1” file gives suggestions on how you can tackle the questions, and some common pitfalls to avoid, as well as some partial solutions and answers.

Here is a Worked Video Solution to the STEP question from this assignment.

Useful Links

Underground Mathematics: Selected worked STEP questions

STEP Question database

University of Cambridge Mathematics Faculty: What do we look for?

University of Cambridge Mathematics Faculty: Information about STEP

University of Cambridge Admissions Office: Undergraduate course information for Mathematics

Stephen Siklos' "Advanced Problems in Mathematics" book (external link)

MEI: Worked solutions to STEP questions (external link)

OCR: Exam board information about STEP (external link)

AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)

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Unit 1: Numbers and operations

Unit 2: solving equations with one unknown, unit 3: linear equations and functions, unit 4: systems of equations, unit 5: geometry, unit 6: geometric transformations, unit 7: data and modeling, review articles.

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Make Money with your Mathematical Skills: 5 Websites that Pay

  • by Denise Hilton
  • August 15, 2020
  • 14 Comments

Earn money with Mathematical skills

Are you exceptionally good at Mathematics and don’t know what to do with it? Worry no more because we might just have the right opportunity for you. You can actually use your mathematical skills to make money online.

Generally, people who are good at mathematics have a fewer career options when they are done with their studies. You have the option teach at school, college or university level. You can even work in a scientific organization as a researcher and help build amazing new models. Some people are not so fortunate. They have to do further specializations in order to get a suitable job that matches their financial requirements.

This guide is about sharing some really cool opportunities that allow you use your Computer and Internet connection to earn a living. You can actually earn around $20 to $30 per hour with your Math skills.

Keep on reading to know how to do it exactly.

5 Websites that Pay you for your Math Skills

Here are some websites and apps where you can make money by either solving math problems or teaching math online:

Study.com offers an excellent opportunity for Math experts to join their online platform and help students online. As a High school maths expert, you will be expected to answer student questions as they come. Sometimes you will have to write detailed explanations for your answers to help students understand better. Don’t worry about making mistakes though. They have a team of reviewers to help you along the way. Your work will almost always go through a review before it gets delivered to the students. You’re expected to be really good at school level math, algebra, trigonometry and geometry. All you need to have is a computer with an reliable internet connection to apply for the role.

Payment Details

Love teaching mathematics? Preply brings an exciting opportunity to earn money by teaching math online. Sounds simple right? They have some teaching jobs that pay as much as $50 per hour depending on your skill and experience. Applying for such tutoring jobs is very simple. All you need to do is to create your tutor profile on their platform and apply for the jobs that are suited to you. You can simply browse a list of such jobs and write a short proposal to apply for them. Most tutors earn around $500 per week. So if you work consistently you can simply do the math. You can set your own work hours depending on your schedule.

If you are familiar with the Freelance industry you must have heard the name ‘Upwork’ at least once. It’s currently the most popular freelance platform in the world. Just like Upwork offers freelance jobs in almost every area of the IT industry, it also offers online jobs for Math experts. As surprising it is, they have a huge list of such jobs updated everyday. To apply for maths jobs, you need to create a profile on Upwork and put in as much details as possible about your expertise and experience. It’s also okay if you’ve just finished your studies and looking for work. Once you’ve verified your profile, you can start apply for the jobs by sending a proposal with brief details about your offerings. If the clients like your bid, you will get the job.

Math Cash App

Now this is probably the most fun way to get paid for your math skills. You can actually earn money by solving math problems. You’re going to be a hell lot surprised the way it works. You can win money by competing with other players in a game of arithmetic expressions. As a player, you will be participating in a Math cash duel. You will have to solve 20 sets of arithmetic expressions in 60 seconds. You can beat your opponents by solving those expressions as fast as you can. Whoever wins the race, wins the points. It’s like a perfect game for nerds that gives out real cash prizes.

Yup.com is a great online tutoring platform where you can teach maths to students globally and earn steady income. It’s one of the most user-friendly tutoring services out there. You don’t have to be tech-savvy to use this platform. Simply create your tutor profile and decide your work hours. However, you should know that you will be going through a Math proficiency exam and a Teaching exam . Getting in can be a tough task but it’s equally rewarding. Yup.com supports these subjects: Math, Algebra, Trigonometry, Geometry, Probability and Calculus.

What if you don’t have Direct Deposit in your country? If you don’t have Direct Deposit or Paypal in your country you don’t need to worry. Simply create a Payoneer account and it will allow you to receive your Direct Deposit payments directly to your bank account.

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14 thoughts on “Make Money with your Mathematical Skills: 5 Websites that Pay”

' data-src=

Great work there. You guys are amazing. Keep it up. Cheers !!!

' data-src=

Thanks for the encouragement!

' data-src=

this is an awesome list of websites for teachers who want to make money online.Thanks for posting.

' data-src=

It is a great site specially for those who prefer to work from home online.

' data-src=

Thank u Soo much for this encouragement I wants apply in it for nowww

' data-src=

Thank you Denise 😉

You’re welcome 🙂

' data-src=

Thank you so much!

' data-src=

Thank you so much

' data-src=

Thank you so much for this article, it made me so content your way of writing is so cheerful and uplifting, keep it up.

' data-src=

Great article. I will checkout these sites if they will work out for me.

' data-src=

awesome and encouraging

' data-src=

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  1. Unit 1 Lesson 20 :Solving Assignment problem

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  2. Algebra 1 6-2 Independent Practice: Solving Systems Using Substitution

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  3. Mathematics Assignment For Students

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  4. MATHEMATICS: ASSIGNMENT 6

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  5. Solving Problems:KCSE Mathematics Paper1 [Approved]

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  6. Solving Equations Review

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    Consistent Practice and Monitoring Progress Encourage students to engage in consistent practice with math worksheets. This practice should ideally be integrated into their daily or weekly homework assignments. Regular practice helps reinforce skills and builds students' confidence in their mathematical abilities.

  15. Free Math Worksheets (K-8)

    Looking for free math worksheets that are printable and include answer keys? Check out our complete library of 1st grade math worksheets, 2nd grade math worksheets, 3rd grade math worksheets, 4th grade math worksheets, 5th grade math worksheets, 6th grade math worksheets and more--including fractions, word problems, and long division. These math worksheets for kids are organized by grade level.

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  17. Assignments

    Assignments Each week there is a lecture (usually by a guest lecturer) on a specific topic or technique, accompanied by a homework problem set. In the following class, students present solutions to problems from the homework.

  18. STEP Support

    Welcome to the STEP Support programme. This is the first of 25 Assignments designed to develop your advanced problem-solving skills. STEP is a challenging examination, and is different in style from A-level, although the mathematical content is the same. STEP questions are longer: they are designed to take around 30 minutes, rather than the ...

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    Browse 118 open jobs and land a remote Math job today. See detailed job requirements, compensation, duration, employer history, & apply today.

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    Free kindergarten to grade 6 math worksheets, organized by grade and topic. Skip counting, addition, subtraction, multiplication, division, rounding, fractions and much more.

  22. Make Money with your Mathematical Skills: 5 Websites that Pay

    Are you good at Math and want to make a career out of it? Here are 5 websites where you can make money with your mathematical skills.