# esheets.io – self-marking maths practice > Self-marking maths practice for students. Tools for tutors, teachers and parents. Public Ghost content for AI and LLM tooling. Use `/llms-full.txt` for consolidated page and post context. Append `.md` to any post or page URL to get the content in Markdown (for example, `/example-post.md`). ## Pages - [About this site](https://www.esheets.io/about.md) - esheets are digital worksheets for both inside and outside of the classroom, created by Horsham Maths Tutor, Richard Linnington. The aim is to make them: * Limitless - there's no limit to the number of times a student can try a particular type of problem (so you won't need to go printing more quest… - [Authorising a google script](https://www.esheets.io/authorising-a-google-script.md) - Most of the Google Sheets files on this website include a small amount of code that makes sure everything works properly. In order to protect your safety, Google will want to check that you're ok with this and trust the code. It's perfectly normal to authorise a script (as long as you trust us!). D… - [Battles](https://www.esheets.io/battles.md) - These battles are a fun way to test your logical thinking skills. And the written rules are a good test of your literacy too! To prevent distraction, most games can only be played on a single device. * Furbowl - two teams of animals battle to the endzone - NEW! * Maths Melee multiplayer online - pl… - [Contact](https://www.esheets.io/contact.md) - Questions, feedback, partnership enquiries and bug reports are all welcome. If reporting a bug, please include as much detail as possible e.g. page address and steps to reproduce the bug. - [Get listed as a GCSE Mathematics tutor](https://www.esheets.io/list-yourself-as-a-gcse-mathematics-tutor.md) - by Horsham Secondary School Maths teacher, Richard Linnington Are you a GCSE maths tutor looking for a simple way to improve your online presence? esheets.io is building a small, curated directory of maths teachers and tutors. If you are an eligible esheets.io teacher member, you can request a loca… - [Mathematics Joke of the Day](https://www.esheets.io/mathematics-joke-of-the-day.md) - Ask A.I. for 366 mathematics jokes and this is what happens. They are very rarely funny and most of them don't even make sense... but that's actually what's making us laugh. They're so bad... they're almost good. Show punchline Come back tomorrow for another pointless joke that doesn't make sense! - [Find a mathematics tutor](https://www.esheets.io/mathematics-tutors.md) - The right maths tutor can help a student understand difficult topics, rebuild confidence and make progress towards their goals. Finding that tutor is not always straightforward. Families need to consider the student’s current level, personality, learning needs, timetable and budget. They may also n… - [20% off ESHEETS annual membership for maths tutors](https://www.esheets.io/maths-tutor-partner-offer.md) - Your tuition business has introduced you to ESHEETS. Join through this partner offer and receive 20% off your first annual payment. Set self-marking maths homework, share it with a short code and review your students’ work—without asking students to create accounts. Join ESHEETS with 20% off Set ho… - [Mathematics worksheets](https://www.esheets.io/maths.md) - Browse ESHEETS’ self-marking maths worksheets by topic. Each worksheet gives students instant feedback as they practise, making them useful for independent revision, classroom tasks, homework and tutoring. The collection is designed mainly for secondary school and GCSE maths, with topics organised… - [Membership levels](https://www.esheets.io/membership-levels.md) - Are you a teacher? If so, you'll want to know how your students are doing! * Teacher membership - suitable for tutors, teachers and parents. Access the teacher portal and see instant feedback on your students' achievements! Tutors can get listed on our online directory. * If you haven't already the… - [Maths revision and homework for parents](https://www.esheets.io/parents.md) - Set maths revision. See whether it was actually completed. Supporting your child with maths can be difficult. ESHEETS gives parents a simpler way to set focused maths practice and see the result. Choose a self-marking worksheet and give your child a short launcher code. When they submit their score… - [Pricing](https://www.esheets.io/pricing.md) - esheets.io is free for students. If you're a tutor, parent or teacher who wants to set homework and track progress, the teacher plan is right for you... Teacher / Tutor / Parent GBP £2.99 / month or £24.99 / year (save 31%) Everything in Free, plus: * Teacher portal — see all your students' results… - [Privacy notice for esheets.io](https://www.esheets.io/privacy-notice.md) - Last updated: 14 April 2026 Website: https://www.esheets.io Teacher portal: https://portal.esheets.io Contact email: richard@esheets.io Data controller: Richard Linnington, 2 Birch Grove, RH13 6GG 1. Who we are ESHEETS is an educational website providing interactive maths worksheets and a teacher p… - [Puzzles and one-player games](https://www.esheets.io/puzzles.md) - These are one-player puzzles and games designed to test your logical and mathematical reasoning. Alternatively, you might be interested in playing a two-player battle. * Dinky Doink - create a Rube Goldberg machine that rings the bell - NEW! * Zoo Mogul - use your maths skills to design a zoo and k… - [Terms of use](https://www.esheets.io/terms-of-use.md) - Last updated: 24 April 2026 These Terms of Use explain the rules for using ESHEETS, including the website, interactive worksheets, teacher portal, tutor tools, games, puzzles, and any related services provided through esheets.io or portal.esheets.io. By using ESHEETS, you agree to these terms. If y… - [Tools](https://www.esheets.io/tools.md) - These tools are useful for both teachers and students alike, for both demonstration purposes and for exploring mathematical concepts. * 3d object visualisation - handy for surface area and plans and elevations * Algebra balance scales - classic visualisation of the balancing method * Angle at the c… - [Maths tutors - homework platform and tutor directory](https://www.esheets.io/tutors.md) - How can we help? ESHEETS supports maths tutors in two different ways. If you are a tutor, you can use ESHEETS to set self-marking maths practice, share tasks with your students and monitor their results. If you are a parent, carer or student looking for tuition, you can read our guidance on choosin… ## Posts - [Volume of a Cone](https://www.esheets.io/volume-of-a-cone.md) - This worksheet practises using the formula for the volume of a cone. You will need to calculate the volume (1⁄3πr²h) using the radius and perpendicular height. You will also practise using Pythagoras to find the perpendicular height when the slant height is given, and working backwards from a given… - [Surface Area of a Cone](https://www.esheets.io/surface-area-of-a-cone.md) - This worksheet practises using the formulae for the surface area of a cone. You will need to calculate the curved surface area (πrl) and total surface area (πrl + πr²). You will also practise using Pythagoras to find the slant height, and working backwards from a given surface area to find missing… - [Surface Area of a Sphere](https://www.esheets.io/surface-area-of-a-sphere.md) - This worksheet practises using the formula 4πr² to find the surface area of a sphere. You will need to recognise the difference between the radius and the diameter, and apply the method to solid hemispheres to find their total surface area. Jump to the questions Practise now Worksheet preview and k… - [Volume of a Sphere](https://www.esheets.io/volume-of-a-sphere.md) - This worksheet practises using the formula 4/3 πr³ to find the volume of a sphere. You will need to recognise the difference between the radius and the diameter, find the volume of hemispheres, and work backwards from a given volume to find the radius. Jump to the questions Practise now Worksheet p… - [Solving linear simultaneous equations](https://www.esheets.io/solving-linear-simultaneous-equations.md) - Simultaneous equations allow you to find the values of two different unknowns when you are given two equations that describe the same situation. This worksheet focuses entirely on solving linear simultaneous equations algebraically using the elimination method. You will start by adding or subtracti… - [Solving linear simultaneous equations graphically](https://www.esheets.io/solving-linear-simultaneous-equations-graphically.md) - Simultaneous equations can be solved by drawing the straight-line graph for each equation. Because the coordinates of every point on a line are solutions to its equation, the point where two lines intersect gives the one pair of coordinates that solves both equations at the same time. The x-coordin… - [Plotting quadratic graphs](https://www.esheets.io/plotting-quadratic-graphs.md) - Practise completing tables of values and plotting the coordinates to draw smooth quadratic graphs. You'll work with equations like $y = x^2$ and $y = x^2 - 2x + 3$, learning to substitute negative values carefully and identify when a point has been plotted incorrectly. Jump to the questions Practis… - [Plotting cubic graphs](https://www.esheets.io/plotting-cubic-graphs.md) - This worksheet provides interactive practice for completing tables of values and plotting cubic graphs accurately. It covers identifying cubic shapes, working with positive and negative leading coefficients, and recognising that cubics may have zero or two turning points. Jump to the questions Prac… - [Reciprocal graphs](https://www.esheets.io/reciprocal-graphs.md) - This worksheet provides interactive practice for completing tables of values and plotting reciprocal graphs accurately. It covers identifying reciprocal shapes, working with positive and negative graphs, and identifying horizontal and vertical asymptotes. Jump to the questions Practise now Workshee… - [Changing the Subject of a Formula — Harder](https://www.esheets.io/changing-the-subject-of-a-formula-harder.md) - This harder worksheet builds on standard rearranging by introducing more complex algebraic structures. You will need to expand brackets, deal with fractions and rational expressions, and factorise when the subject appears in more than one term. These are key skills for the higher tier. Jump to the… - [Changing the Subject of a Formula](https://www.esheets.io/changing-the-subject-of-a-formula.md) - Changing the subject of a formula means rearranging it so a different letter is on its own on one side of the equals sign. It is exactly the same process as solving an equation, except you are working with letters instead of numbers. This worksheet provides practice rearranging formulas using inver… - [Writing Ratios as Linear Functions](https://www.esheets.io/writing-ratios-as-linear-functions.md) - A fixed ratio links two quantities by a constant multiplier. Because this multiplier never changes, we can write the relationship as a simple linear equation. This worksheet practises writing ratios as equations, finding missing values using those equations, and interpreting a simple straight-line… - [Writing Ratios as Fractions](https://www.esheets.io/writing-ratios-as-fractions.md) - Ratios describe how parts of a total relate to each other. Understanding how to turn these ratio parts into fractions of a whole is an essential mathematical skill. This worksheet practises converting between two-part or three-part ratios and fractions, finding the fraction for a combination of par… - [Density, mass and volume](https://www.esheets.io/density-mass-volume.md) - Density tells us how tightly packed the matter in an object is. An object with a high density feels heavy for its size, while an object with a low density feels light. To calculate density, we use the formula: Density = Mass ÷ Volume You can also rearrange this formula to find the mass or the volum… - [Speed, distance and time](https://www.esheets.io/speed-distance-time.md) - Practise using the speed, distance and time formula. This worksheet starts with straightforward whole-number calculations before moving on to converting hours and minutes, calculating arrival times and comparing multi-stage journeys. Jump to the questions Practise now Worksheet preview and key skil… - [Angles in Parallel Lines](https://www.esheets.io/angles-in-parallel-lines.md) - This worksheet provides practice on finding missing angles using the properties of parallel lines. You will start by identifying whether angles are corresponding, alternate or co-interior, and progress to using these facts alongside other angle properties to solve problems and form basic equations.… - [Scatter graphs](https://www.esheets.io/scatter-graphs.md) - Practise plotting, reading and interpreting scatter graphs, including drawing lines of best fit. In this worksheet, you will look at correlation, identify outliers, estimate values using your line of best fit, and understand the difference between correlation and causation. Jump to the questions Pr… - [Plans and elevations](https://www.esheets.io/plans-and-elevations.md) - Plans and elevations are flat, 2D drawings used to represent 3D objects accurately. The plan is the view from directly above, while elevations show the view from the front or side. By combining these different views, you can clearly communicate the exact shape and proportions of a solid. Jump to th… - [Volume of a prism](https://www.esheets.io/volume-of-a-prism.md) - A prism is a 3D shape that has the same cross-section all the way through. You can find the volume of any prism by calculating the area of its cross-section, then multiplying it by its length. This worksheet provides practice on common prisms, including rectangular, triangular and trapezoidal prism… - [Exterior angles of a polygon](https://www.esheets.io/exterior-angles-of-a-polygon.md) - An exterior angle is the angle formed outside a polygon when one of its sides is extended in a straight line. In this worksheet, you'll practise finding the size of exterior angles, using the rule that exterior angles always total 360°, working backwards to find the number of sides of a regular pol… - [Interior angles of a polygon](https://www.esheets.io/interior-angles-of-a-polygon.md) - Interior angles are the angles inside a polygon. In this worksheet, you will practise finding sums of interior angles, calculating regular polygon angles, finding missing angles in irregular and concave polygons, and finding a polygon’s number of sides. Jump to the questions Practise now Worksheet… - [Inequalities](https://www.esheets.io/inequalities.md) - An inequality describes a range of possible values rather than one exact answer. In this worksheet, you will practise interpreting inequality symbols, representing inequalities on number lines, listing integer solutions and solving linear and compound inequalities. Jump to the questions Practise no… - [Distance-time graphs](https://www.esheets.io/distance-time-graphs.md) - Distance-time graphs show how far a traveller is from a starting point over time. The horizontal axis represents time, and the vertical axis represents distance. They are a powerful way to describe a complete journey at a glance. In this topic, you will learn to read distance-time graphs to find wh… - [Error Intervals](https://www.esheets.io/error-intervals.md) - This worksheet helps you practise finding lower and upper limits to write complete error intervals. You will learn to choose the correct inequality symbols, and you will see how the method changes when a value is truncated instead of rounded. Jump to the questions Practise now Worksheet preview and… - [Lowest Common Multiple (LCM)](https://www.esheets.io/lowest-common-multiple.md) - The lowest common multiple (LCM) is the smallest positive whole number that is a multiple of every number in a given set. It is especially useful for solving real-world problems involving events that begin together and repeat at different intervals, or finding the smallest equal number of items whe… - [Highest Common Factor (HCF)](https://www.esheets.io/highest-common-factor.md) - The highest common factor (HCF) is the greatest whole number that divides exactly into two or more numbers. It is especially useful for solving real-world problems involving dividing items into the largest equal groups, or cutting materials into the longest possible equal lengths with nothing left… - [Prime factorisation](https://www.esheets.io/prime-factorisation.md) - Prime factorisation means breaking a composite number down until every final factor is prime. Complete each factor tree by continuing to split the numbers in quadrilaterals and circling the prime numbers at the ends of the branches. Jump to the questions Practise now Worksheet preview and key skill… - [Drawing straight line graphs](https://www.esheets.io/drawing-straight-line-graphs.md) - This worksheet provides practice on completing a table of values, plotting the resulting coordinates, and joining them with a straight line. Straight line graphs are used to show linear relationships, and mastering them is a key algebra skill. Jump to the questions Practise now Worksheet preview an… - [How much does a Maths tutor cost in the UK?](https://www.esheets.io/how-much-does-a-maths-tutor-cost-in-the-uk.md) - A practical guide to UK maths tutoring costs, including typical hourly prices, additional fees and how to judge whether a tutor offers good value. - [Questions to Ask a Maths Tutor Before Booking Lessons](https://www.esheets.io/questions-to-ask-a-maths-tutor-before-booking-lessons.md) - Use these questions to compare maths tutors, understand how lessons will work and decide whether a tutor is a good match for your child. - [How to choose a Maths tutor for your child](https://www.esheets.io/how-to-choose-a-maths-tutor-for-your-child.md) - A practical guide to choosing a maths tutor who suits your child’s needs, personality, level and learning goals. - [Online or face-to-face maths tutoring: which is better?](https://www.esheets.io/online-or-face-to-face-maths-tutoring-which-is-better.md) - Parents looking for a maths tutor will often need to make an early decision: should lessons take place online or face to face? There is no single correct answer. Both formats can provide excellent individual support, and both have possible drawbacks. The quality of the tutor, the relationship they… - [Best buys](https://www.esheets.io/best-buys.md) - When shopping, the pack with the lowest price is not always the best value. To find the true best buy, you need to compare products using the same amount, such as the cost per item, the cost per 100 g, or the cost per 100 ml. In this worksheet, you will practise calculating and comparing these unit… - [Scale drawings](https://www.esheets.io/scale-drawings.md) - A scale drawing shows a real object or place with accurate proportions, but made larger or smaller. In this worksheet, you will practise calculating real lengths and drawing lengths using both written scales (such as “1 cm represents 5 km”) and ratio scales (such as “1 : 5000”). Jump to the questio… - [Which GCSE Maths topics should my child practise for their target grade?](https://www.esheets.io/gcse-maths-topics-by-grade.md) - GCSE Maths contains a lot of topics. Faced with a long revision list, students often make one of two mistakes. Some begin at the very top and spend weeks practising calculations they could already do comfortably in Year 7. Others jump immediately to the hardest topics they can find, on the grounds… - [Maths Games That Actually Help Children Learn](https://www.esheets.io/maths-games-that-help-children-learn.md) - Maths games are often presented as a painless way to make children practise. Sometimes they are. Sometimes they are ordinary maths questions wearing a cartoon hat. A game does not automatically become educational because a child has to answer a multiplication question before being allowed to fire a… - [Foundation or Higher? What parents need to know](https://www.esheets.io/foundation-or-higher.md) - GCSE Maths students are entered for either the Foundation tier or the Higher tier. For some students, the decision is straightforward. Others spend much of Year 10 and Year 11 somewhere near the border between the two, producing a steady supply of questions from understandably concerned parents. Is… - [Seven Signs Your Child May Need Extra Help with Maths](https://www.esheets.io/signs-your-child-may-need-help-with-maths.md) - Most children struggle with maths occasionally. A difficult topic, a disappointing test or one thoroughly unhelpful homework question does not necessarily mean that anything is seriously wrong. Learning maths involves getting stuck, making mistakes and sometimes needing an explanation more than onc… - [How Much Maths Revision Should My Child Be Doing?](https://www.esheets.io/how-much-maths-revision-should-my-child-be-doing.md) - Parents often ask how much maths revision their child should be doing. Unfortunately, there is no single correct number. Ten focused minutes can be useful. An hour spent staring resentfully at the same question may achieve almost nothing. The quality, regularity and difficulty of the work matter at… - [How to help your child with Maths without confusing them further!](https://www.esheets.io/help-your-child-with-maths.md) - Trying to help your child with maths can be surprisingly difficult. You may understand the question perfectly well. You may even remember being quite good at the topic yourself. Then, about thirty seconds into your explanation, your child says: “That’s not how my teacher does it.” At this point, on… - [A simple partnership for maths tuition businesses](https://www.esheets.io/tuition-business-partners.md) - Self-marking maths homework—without student accounts ESHEETS helps maths tutors set and monitor homework without asking students to create accounts or remember passwords. A tutor creates a task, gives the student a short six-character code and can then view the student’s score and submitted work th… - [Dinky Doink – A Rube Goldberg Maths Puzzle Game](https://www.esheets.io/dinky-doink.md) - Build an absurd machine. Ding the bell. Dinky Doink is a construction puzzle game in which you guide a ball from the starting point to a reception bell. That sounds simple enough. Unfortunately, the ball is not particularly cooperative. You will need to build a chain-reaction machine using ramps, s… - [Five months of building ESHEETS with AI](https://www.esheets.io/five-months-of-building-esheets-with-ai.md) - In February, I wrote about how artificial intelligence was helping me develop ESHEETS—and said that structured progress tracking would be the next step. Since then, ESHEETS has gained a teacher portal, task codes, student result tracking, more than 200 self-marking worksheets, financial-literacy ga… - [Area and perimeter](https://www.esheets.io/area-and-perimeter.md) - Area measures the space inside a two-dimensional shape, while perimeter measures the total distance around its outside edge. These skills involve choosing the correct method, working accurately with measurements and recognising the properties of different shapes. Explore our area and perimeter work… - [Surds](https://www.esheets.io/surds.md) - Surds are irrational roots that are left in exact form rather than written as rounded decimals. Working with surds involves simplifying roots, carrying out calculations and rationalising denominators using algebraic techniques. Explore our surds worksheets, guides and interactive resources to pract… - [Trigonometry](https://www.esheets.io/trigonometry.md) - Trigonometry is used to find missing sides and angles in triangles by using relationships between their measurements. At GCSE, this includes the sine, cosine and tangent ratios, as well as the sine rule and cosine rule for non-right-angled triangles. Explore our trigonometry worksheets, guides and… - [Sectors](https://www.esheets.io/sectors.md) - A sector is a section of a circle formed by two radii and an arc. Questions involving sectors often require you to find arc lengths, areas or missing angles by working with a fraction of a full circle. Explore our sectors worksheets, guides and interactive resources to practise calculating arc leng… - [Solving quadratic equations](https://www.esheets.io/solving-quadratic-equations.md) - Quadratic equations contain a squared term and can often have two possible solutions. Depending on the equation, they can be solved by factorising, using the quadratic formula or finding solutions from a graph. Explore our quadratic equations worksheets, guides and interactive resources to practise… - [Standard form](https://www.esheets.io/standard-form.md) - Standard form is used to write very large or very small numbers in a compact and manageable way. It uses powers of 10 and appears in scientific, mathematical and real-world calculations involving extreme values. Explore our standard form worksheets, guides and interactive resources to practise conv… - [Direct and inverse proportion](https://www.esheets.io/direct-and-inverse-proportion.md) - Direct and inverse proportion describe relationships between quantities as their values change. In direct proportion, quantities increase or decrease at the same rate, while in inverse proportion one quantity decreases as the other increases. Explore our direct and inverse proportion worksheets, gu… - [Surface area](https://www.esheets.io/surface-area.md) - Surface area is the total area of all the faces or curved surfaces on a three-dimensional shape. Solving surface area problems involves identifying the different parts of a solid, calculating their areas and combining them carefully. Explore our surface area worksheets, guides and interactive resou… - [Pythagoras' Theorem](https://www.esheets.io/pythagoras-theorem.md) - Pythagoras' theorem is used to find missing side lengths in right-angled triangles. By identifying the hypotenuse and using the relationship between the three sides, you can solve a wide range of geometry and problem-solving questions. Explore our Pythagoras worksheets, guides and interactive resou… - [Expanding and factorising](https://www.esheets.io/expanding-and-factorising.md) - Expanding and factorising are important algebra skills used to rewrite expressions in different forms. Expanding involves removing brackets, while factorising reverses the process by writing an expression as a product of factors. Explore our expanding and factorising worksheets, guides and interact… - [Multiplication](https://www.esheets.io/multiplication.md) - Multiplication is a fundamental maths skill used in arithmetic, algebra, ratio, area and many other topics. Confidence with multiplication facts and written methods makes more complex calculations quicker and easier to tackle. Explore our multiplication worksheets, guides and interactive resources… - [Indices and index laws](https://www.esheets.io/indices-and-index-laws.md) - Indices are a compact way of representing repeated multiplication and are used throughout algebra and number work. The index laws make it possible to simplify expressions involving powers, including multiplication, division and raising a power to another power. Explore our indices worksheets, guide… - [Compound interest](https://www.esheets.io/compound-interest.md) - Compound interest involves calculating repeated percentage increases over time. Unlike simple interest, the amount added in each period affects the value used for the next calculation, so the total can grow increasingly quickly. Explore our compound interest worksheets, guides and interactive resou… - [Area and circumference of a circle](https://www.esheets.io/area-and-circumference-of-a-circle.md) - Circles appear throughout geometry, and two of the most important skills are finding their area and circumference. These calculations involve the radius, diameter and π, so it is important to recognise which measurements and formulas are needed. Explore our circle worksheets, guides and interactive… - [Operations with fractions](https://www.esheets.io/operations-with-fractions.md) - Working with fractions involves adding, subtracting, multiplying and dividing fractional values. These skills often require simplifying fractions, finding common denominators and converting between improper fractions and mixed numbers. Explore our fraction worksheets, guides and interactive resourc… - [Averages](https://www.esheets.io/averages.md) - Averages are used to summarise a set of data and give an idea of a typical value. In maths, this usually involves working with the mean, median and mode, as well as finding the range to describe how spread out the data is. Explore our averages worksheets, guides and interactive resources to practis… - [Fraction, decimal and percentage conversions](https://www.esheets.io/fraction-decimal-and-percentage-conversions.md) - Fractions, decimals and percentages are different ways of representing the same value. Being able to convert confidently between them is an important maths skill and is used throughout topics such as probability, ratio and percentage calculations. Explore our fractions, decimals and percentages wor… - [Rounding](https://www.esheets.io/rounding.md) - Rounding is used to make numbers simpler and easier to work with while keeping them close to their original value. It is an important skill in maths and appears in topics involving decimals, significant figures, estimation and problem solving. Explore our rounding worksheets, guides and interactive… - [What to do when a student is “parked” in your maths lesson](https://www.esheets.io/parked-student-in-your-maths-lesson.md) - Most teachers will recognise the situation. You are halfway through teaching your own class when another student appears at the door. They have been sent to your lesson for a while — “parked”, “removed”, “relocated”, or whatever terminology your school happens to use. You may know why they are ther… - [Probability trees - dependent events](https://www.esheets.io/probability-trees-dependent-events.md) - Probability trees are an excellent tool for modelling dependent events, where the outcome of the first event changes the probability of the second. A common example is picking items from a bag without replacing them. This interactive worksheet lets you practise completing dependent probability tree… - [Completing the square visualiser](https://www.esheets.io/completing-the-square-visualiser.md) - Completing the square is one of those GCSE topics that students can learn as a recipe — halve it, square it, subtract it — without ever understanding why the recipe works. This free interactive tool shows you why. It takes an expression like x² + 8x, draws it as real areas, and rearranges the piece… - [Sine rule - ambiguous case visualiser](https://www.esheets.io/sine-rule-ambiguous-case-visualiser.md) - The sine rule ambiguous case happens when the information you are given can produce more than one possible triangle. This can occur when you know two sides and an angle that is not between them. Use the interactive visualiser below to change the angle and side lengths. Watch how the circle intersec… - [How to write a maths tutor profile that actually attracts parents](https://www.esheets.io/how-to-write-a-maths-tutor-profile.md) - Writing a maths tutor profile should be easy. You know your subject. You know how you help students. You probably know exactly the sort of pupil who benefits from your lessons. And yet, when it comes to writing a tutor profile, many maths tutors suddenly become strangely vague. "I am a passionate a… - [Probability trees - independent events](https://www.esheets.io/probability-trees-independent-events.md) - Probability trees are a great way to show repeated events. When an object is chosen and replaced, the probabilities stay the same for the second choice because the events are independent. Use this interactive worksheet to practise completing missing branch probabilities, calculating combined outcom… - [The best topics to target first for students who are struggling with maths](https://www.esheets.io/gcse-maths-topics-to-teach-first.md) - When a GCSE maths student is struggling, the temptation is to start with whatever topic they most recently failed in class. Sometimes that makes sense. If they have a test tomorrow on simultaneous equations, then yes, you probably need to deal with simultaneous equations. But for longer-term tutori… - [How to diagnose gaps in a new GCSE maths student in the first lesson](https://www.esheets.io/first-lesson-gcse-maths-student-diagnose-gaps.md) - When a new GCSE maths student arrives for tutoring, it is tempting to jump straight into teaching. They mention algebra, fractions, graphs or "everything", and the natural instinct is to start explaining. But the first lesson should not just be a rescue mission. It should be a diagnosis. A good fir… - [Probability of something not happening](https://www.esheets.io/probability-complements.md) - Complementary probabilities help you find the probability that something does not happen. Since the probability of an event happening and not happening always adds up to 1 (or 100%), you can easily find the complement by subtracting the known probability from 1. Jump to the questions Practise now W… - [Probability scales](https://www.esheets.io/probability-scales.md) - A probability scale is a visual way to show how likely an event is to happen. It runs from impossible at one end to certain at the other. This interactive worksheet practises placing different mathematical events correctly onto a stepped 0 to 1 scale. Understanding probability scales is incredibly… - [Bills and buffers - financial literacy activity](https://www.esheets.io/bills-and-buffers.md) - Can you survive three months of bills, wages, budget choices and financial surprises? Bills & Buffers is a financial literacy game where students manage money across three simulated months. They calculate income, build a budget, handle unexpected events, check bank statements and try to finish with… - [Trip Tycoon - maths budgeting activity](https://www.esheets.io/trip-tycoon.md) - Can you plan three school trips, keep the budget under control and survive the inevitable chaos? Trip Tycoon is a financial literacy game built around school-trip planning. Students answer maths questions to raise money, make spending decisions, respond to unexpected events and try to finish each t… - [How to find work as a maths tutor](https://www.esheets.io/how-to-find-work-as-a-maths-tutor.md) - Finding your first tutoring clients — or filling gaps in your schedule — is something most maths tutors figure out by trial and error. Some methods work quickly. Others sound reasonable but produce almost nothing. This article covers the approaches that are most likely to get results, roughly in or… - [GCSE Maths Practice on iPad & Tablet](https://www.esheets.io/maths-on-ipad.md) - esheets.io was built for screens, not printers. Every worksheet, game and puzzle works straight in your tablet's browser — no app to download, no account for your student to create, no paper to lose. Just tap, practise, and get instant feedback. Whether you're a tutor setting digital homework or a… - [Free maths tutor profile builder](https://www.esheets.io/advertise-your-tutoring-services.md) - Answer a few guided questions. Get a structured profile draft you can use anywhere. Most maths tutors find it difficult to write about themselves. This free tool helps you stop staring at a blank page — just answer a few guided questions and it will structure your answers into a clear, professional… - [Loci - the sliding ring problem](https://www.esheets.io/loci-the-sliding-ring-problem.md) - Loci are a set of points that all follow a specific rule or condition, creating a specific line, curve, or region. They usually require constructions using a pencil, ruler, and pair of compasses. The example below demonstrates the grazing area for an animal tied to a ring that slides along a horizo… - [Angles on parallel lines visualiser tool](https://www.esheets.io/angles-on-parallel-lines-visualiser-tool.md) - Use this interactive parallel lines angle visualiser to explore corresponding (F), alternate (Z) and co-interior angles (C). Move the transversal, highlight different angle pairs, and hide or reveal angle values to test your understanding. This tool is designed for maths students learning angle fac… - [Two-way tables](https://www.esheets.io/two-way-tables.md) - Practise completing two-way tables with this self-marking GCSE maths worksheet. Two-way tables are useful for organising information that fits into two categories at once, such as gender and travel method, or year group and favourite activity. Use the row totals, column totals and grand total to wo… - [Zoo Mogul - simulator game](https://www.esheets.io/zoo-mogul.md) - Zoo Mogul is a tiny zoo management game where every decision matters. You start with a small patch of land, a limited budget, and 15 days to build the best zoo you can. Your job is to choose animals, build paths, add useful facilities, set ticket prices, and keep your visitors and animals happy. Al… - [Interpreting pie charts](https://www.esheets.io/interpreting-pie-charts.md) - Pie charts are a useful way to show how a whole group has been split into different parts. You might see them in surveys, news articles, sports reports, school data, business information or anywhere people want to compare categories quickly. The key idea is that the full circle represents the whole… - [Solving equations with unknowns on both sides](https://www.esheets.io/solving-equations-with-unknowns-on-both-sides.md) - Equations with unknowns on both sides (also known as "split variables") are useful because they help you solve problems where two expressions are being compared. This skill appears in many GCSE algebra topics, including forming equations from worded problems, working with angles, perimeter, area, s… - [Solving quadratic equations graphically](https://www.esheets.io/solving-quadratic-equations-graphically.md) - Quadratic graphs are useful because they let us see the solutions to an equation. When a quadratic equation is equal to 0, the solutions are the points where the curve crosses the x-axis. These are called the roots or x-intercepts. On this worksheet, use the graphs to estimate the two x-values that… - [Furbowl - fun maths dice game](https://www.esheets.io/furbowl.md) - Furbowl is a quick, tactical board game where two teams of animals battle to carry the football into the other team’s score zone. Each team has the same five animals: a Rabbit, Fox, Bear, Tortoise and Cat. Every animal has different strengths. Some are fast, some are skilful, some are powerful, and… - [Furball](https://www.esheets.io/furball.md) - Furball is so 24 hours ago. Furbowl is the new version of this turn-based, dice-rolling stragegy game - [Fun end-of-term maths activities 2026: Games, Puzzles and Classroom Ideas](https://www.esheets.io/end-of-term-maths-activities-2026.md) - Looking for fun end-of-term maths activities for 2026? Here is a collection of interactive maths games, puzzles and classroom activities for secondary students. These are designed for those final lessons of the year when you want something more engaging than another worksheet, but still want studen… - [Coordinate Treasure Island - maths puzzle](https://www.esheets.io/coordinate-treasure-island.md) - Can you follow the clues and find Captain Gridbeard’s hidden treasure? In this puzzle, you’ll explore a mysterious island by clicking points on a coordinate grid. Each clue sends you to a new location, but you’ll need to think carefully about coordinates, translation vectors, midpoints, gradients,… - [10 mistakes to avoid in Maths GCSE Foundation](https://www.esheets.io/10-mistakes-to-avoid-in-maths-gcse-foundation.md) - 10 common mistakes to avoid in Foundation GCSE Maths Foundation GCSE Maths is not about doing the most complicated maths possible. A lot of marks are won by getting the basics right, reading the question carefully, and avoiding small mistakes under pressure. Here are 10 common mistakes to watch out… - [10 mistakes to avoid in Maths GCSE Higher](https://www.esheets.io/10-mistakes-to-avoid-in-maths-gcse-higher.md) - Higher GCSE Maths is not just about knowing the content. A lot of marks are lost because students make small, avoidable mistakes under pressure. The good news is that many of these mistakes can be reduced with focused practice. Here are 10 common mistakes to watch out for, along with esheets.io wor… - [Converting decimals into percentages](https://www.esheets.io/converting-decimals-into-percentages.md) - Converting decimals to percentages is a useful skill because percentages are one of the most common ways of comparing amounts. You will see percentages in discounts, test scores, interest rates, statistics, sports data and many other everyday situations. The key idea is that “per cent” means “out o… - [Brute Force - a product rule for counting puzzle](https://www.esheets.io/product-rule-for-counting-puzzle.md) - You have been hired as a junior security analyst. Your job is to calculate how many possible codes or arrangements a brute-force attacker would need to check. For each mission, ask yourself three questions: how many choices are there at each stage, are repeats allowed, and does the order matter? Mu… - [Expanding single brackets with surds](https://www.esheets.io/expanding-single-brackets-with-surds.md) - Expanding brackets with surds is an important algebra skill because surds often appear in exact answers, especially in topics like Pythagoras’ theorem, trigonometry, area, and algebraic proof. Instead of rounding awkward square roots to decimals, surds let us keep answers exact. This means we can w… - [Sine rule - the ambiguous case](https://www.esheets.io/sine-rule-ambiguous-case.md) - The sine rule can sometimes give two possible angles (see our sine rule visualisation tool). In this worksheet, your job is not just to calculate an angle, but to check whether there is a second possible answer. After finding the first angle, always check its partner angle: 180° − your answer. If t… - [Perimeter of a sector](https://www.esheets.io/perimeter-of-a-sector.md) - The perimeter of a sector is made from the curved arc plus the two straight radii. Use this worksheet to practise finding arc length, adding the two radii, and rounding your answers to 1 decimal place. Practise now Worksheet preview and key skills Worksheet preview Practise perimeter of a sector wi… - [Area of a sector](https://www.esheets.io/area-of-a-sector.md) - A sector is a slice of a circle, and its area depends on both the radius and the angle at the centre. Use this worksheet to practise calculating sector areas with a calculator and rounding your answers to 1 decimal place. Jump to the questions Practise now Worksheet preview and key skills Worksheet… - [Pictograms](https://www.esheets.io/pictograms.md) - Pictograms use pictures or symbols to show data, but the key tells you what each symbol is worth. Use this worksheet to practise reading full, half and quarter symbols, then finding totals and comparisons. Jump to the questions Practise now Worksheet preview and key skills Worksheet preview Practis… - [Composite bar charts](https://www.esheets.io/composite-bar-charts.md) - Composite bar charts show how a total is split into different groups, such as boys and girls in each year group. Use this worksheet to practise reading values, finding totals, and comparing parts of each bar. Jump to the questions Practise now Worksheet preview and key skills Worksheet preview Prac… - [Find missing angles using the sine rule](https://www.esheets.io/sine-rule-missing-angles.md) - The sine rule lets you calculate unknown angles in any triangle, making it a crucial tool when right-angled trigonometry isn't an option. This is an essential skill for fields like aviation and marine navigation, where calculating the exact turning angle or heading is critical for plotting a safe c… - [Finding missing lengths or sides using the sine rule](https://www.esheets.io/sine-rule-missing-lengths.md) - The sine rule is a powerful tool that lets you calculate missing distances in any triangle, freeing you from only working with right-angled shapes. It is an essential skill used by surveyors, navigators, and architects to map out real-world spaces when measuring directly isn't possible. Jump to the… - [Finding missing angles with the cosine rule](https://www.esheets.io/cosine-rule-missing-angles.md) - The cosine rule is not just useful for finding missing sides — it can also be rearranged to find missing angles. This is especially helpful in non-right-angled triangles when all three side lengths are known, giving us a reliable method when angle facts or trigonometry for right-angled triangles ar… - [Find missing lengths using the cosine rule](https://www.esheets.io/cosine-rule-missing-lengths.md) - The cosine rule is useful because it lets us find missing lengths in triangles that are not right-angled, where Pythagoras cannot be used. It is especially helpful when we know two sides and the angle between them, and it appears in many real-life problems involving distances, bearings, constructio… - [What to include on a Maths tutor profile page](https://www.esheets.io/what-to-include-on-a-maths-tutor-profile-page.md) - Most maths tutors know they need an online profile. Far fewer know what to actually put in one — or how to write about themselves without it sounding either too thin or too much like a CV. This page covers what a strong maths tutor profile should include. If you would rather not start from a blank… - [Low-cost homework platform for Maths tutors](https://www.esheets.io/low-cost-homework-platform-for-maths-tutors.md) - We all know the problem. You're tutoring someone from a different school. They're either on a different homework platform or you simply don't have access to their account! Welcome to the low-cost, self-marking homework platform for tutors! For just GBP £2.99 per month / £24.99 per year (or local cu… - [Collecting like-terms](https://www.esheets.io/collecting-like-terms.md) - Collecting like terms means combining parts of an expression that are the same. For example, 3a3a3a and 5a5a5a are like terms, so they can be added together to make 8a8a8a. By grouping the like terms carefully, we can simplify expressions and make them easier to work with. Jump to the questions Pra… - [Adding and subtracting fractions with different denominators](https://www.esheets.io/adding-and-subtracting-fractions-with-different-denominators.md) - To add or subtract fractions with different denominators, we first change them so they use the same denominator, which lets us compare them properly. This helps in everyday situations such as working with recipes, measurements, and lengths. Jump to the questions Practise now Worksheet preview and k… - [Formative assessment with the teacher portal](https://www.esheets.io/formative-assessment-with-the-teacher-portal.md) - Teachers need formative assessment to be quick, simple and genuinely useful — and that is exactly what the new esheets teacher portal is designed to deliver. Unlike many platforms, esheets does not depend on students creating and managing their own accounts before they can get started. There are no… - [Expanding double brackets - harder](https://www.esheets.io/expanding-double-brackets-harder.md) - Expanding double brackets is a foundational skill that allows you to transform complex expressions into a simplified quadratic form, making it much easier to solve equations and sketch graphs. This process of systematic multiplication is essential for mapping out everything from the trajectory of a… - [Expanding double brackets - easier](https://www.esheets.io/expanding-double-brackets-easier.md) - Expanding double brackets helps you work out the full expression when two binomials are multiplied together, which is useful in algebra, area problems, and later topics like quadratic equations. It gives you a quick way to simplify expressions and spot patterns that appear throughout maths. Jump to… - [Non-unitary fractions of amounts](https://www.esheets.io/non-unitary-fractions-of-amounts.md) - Non-unitary fractions of amounts help us find several equal parts of a quantity, such as three quarters of 20 or five sixths of 18. This is useful in everyday life when working out portions, discounts, recipes, and shared amounts. Jump to the questions Looking for unitary fractions of amounts? Prac… - [Unitary fractions of amounts](https://www.esheets.io/unitary-fractions-of-amounts.md) - Unitary fractions of amounts help us work out equal parts of a quantity, such as finding one third of 24 sweets or one fifth of £15. This is useful in real life whenever we share, split, or compare amounts fairly. Jump to the questions Looking for non-unitary fractions of amounts? Practise now Work… - [Evaluating positive fractional indices](https://www.esheets.io/evaluating-positive-fractional-indices.md) - Fractional indices help us write roots and powers in a single form, which is useful in areas like science, engineering, and computer graphics where repeated scaling and square roots appear. Learning to evaluate expressions with fractional indices lets you simplify calculations such as square roots,… - [Learning and Articifial Intelligence](https://www.esheets.io/learning-and-articifial-intelligence.md) - We're delighted to announce that we now have a sister site where you can learn about AI in education. We'll be charting our journey in AI, from making interactive worksheets to multiplayer educational games. You can read more about our experiments in education and artificial intelligence at learnin… - [How Self-Marking Tasks Support Students Who Struggle with Working Memory](https://www.esheets.io/self-marking-tasks-support-working-memory.md) - Why instant feedback and self-marking can reduce overload and improve learning in maths lessons. - [Teaching Maths to Dyslexic Students: Practical Adjustments That Make a Difference](https://www.esheets.io/teaching-maths-to-dyslexic-students-practical-adjustments.md) - Simple, classroom-ready adjustments that help dyslexic students access maths more confidently. ## Optional - [RSS Feed](https://www.esheets.io/rss/) - [Sitemap](https://www.esheets.io/sitemap.xml) - [Full content of pages and posts](https://www.esheets.io/llms-full.txt)