Free Mathematics Worksheets & Resources
Comprehensive collection of GCSE and A-Level mathematics resources including algebra, geometry, number theory, statistics, and problem-solving materials
All resources available in Word and PDF formats with answer keys
📚 About These Resources
Slow Build (SB) Worksheets: Scaffolded questions that gradually increase in difficulty, helping students develop understanding step-by-step
UKMT+ Resources: Enhanced worksheets based on UK Mathematics Trust challenge questions with extended practice
Variation Theory (VT): Worksheets designed using variation theory principles to highlight key mathematical concepts
Authors: NJK (Nick Jackson-Keen), DTH (Dan Theobald-Hall)
Quick Navigation
Algebra Resources
| Resource Name | Download Links | Author | Description | Answers |
|---|---|---|---|---|
| Factorising by Grouping SB | Word PDF | A Slow Build Worksheet introducing factorising by grouping | Answers | |
| Equating Coefficients SB | Word PDF | A Slow Build worksheet introducing the ideas behind equating coefficients | Answers | |
| Algebraic Fractions SB | Word PDF | A Slow Build worksheet looking at adding harder and harder algebraic fractions | Answers | |
| Factorising Linear Expressions SB | Word PDF | A Slow Build Worksheet introducing factorising Linear Expressions | Answers | |
| Intro to Factoring SB | Word PDF | Slow Build Worksheet introducing the idea of writing things as the product of factors | Answers | |
| Changing the Subject VT | Word PDF | Intro to changing the subject worksheet with answers using variation theory | Answers | |
| Drawing Cubic Graphs | Word PDF | Differentiated worksheet introducing drawing cubic graphs using a table of values | — | |
| Expanding Brackets RT | Word PDF | Expanding brackets rich task | — | |
| Inequalities on a Number Line | Word PDF | Suitable for practicing writing and drawing inequalities on a number line | Answers | |
| Factorising Alternate Method SB | Word PDF | Slow Build Worksheet where students factorise quadratics where the coefficient of \(x^2\) is greater than 1 | Answers | |
| Intro to Simultaneous Equations SB | Word PDF | Slow Build worksheet designed to teach the beginnings of solving simultaneous equations by looking at real life money problems | Answers | |
| Solving Harder Quadratics | Word PDF | Worksheet designed to give some creative practice for factorising and solving quadratic equations | Answers | |
| UKMT+ Squaring and Square Roots | Word PDF | UKMT+ Worksheet that uses a UKMT question to practise forming and solving interesting quadratic equations | Answers |
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Geometry Resources
| Resource Name | Download Links | Author | Description | Answers |
|---|---|---|---|---|
| Vectors SB | Word PDF | A scaffolded worksheet that works through harder vector geometry questions | — | |
| 3D Shapes | Word PDF | A worksheet where students fill in the missing information for various 3D shapes | — | |
| Compound Shapes Area | Word PDF | A worksheet where students find the area of different compound shapes - intended as practice | — |
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Number Resources
| Resource Name | Download Links | Author | Description | Answers |
|---|---|---|---|---|
| Reverse Fractions of Amount SB | Word PDF | A slow build worksheet getting students to find what the original amount was when given a part of it using fractions | Answers | |
| HCF/LCM Worksheet | Word PDF | Introduction to finding HCF/LCM worksheet with answers | — | |
| Write Square Numbers Using Factors SB | Word PDF | A Slow Build Worksheet designed to practise writing integers as a product of their factors by writing products as square numbers | Answers | |
| Percentages Investigation | Word PDF | Investigation into whether a% of b equals b% of a that practices finding percentages of amounts | Answers | |
| Percentage Multipliers Practice VT | Word | Worksheet practising percentage multipliers using variation theory | Answers | |
| Adding Recurring Decimals UKMT+ | Word PDF | UKMT+ worksheet that uses an IMC question on recurring decimals to practise addition of decimals with carrying | Answers | |
| Adding Fractions UKMT+ | Word PDF | UKMT+ worksheet that uses a JMC question on adding fractions to practise addition of fractions with different denominators | Answers | |
| UKMT+ Factorising and Simplifying Fractions | Word PDF | UKMT+ worksheet building on a JMC question about simplifying fractions - builds on factorising to help simplify and eventually leads to questions on factorials | Answers |
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Statistics & Data Resources
| Resource Name | Download Links | Author | Description | Answers |
|---|---|---|---|---|
| Combined Mean Scaffolded Worksheet | Word PDF | Worksheet that introduces scaffolded table as a method for solving problems with a combined mean | Answers | |
| Venn Diagrams | Word PDF | A worksheet on filling in regions of Venn Diagrams | — |
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A-Level Resources
| Resource Name | Download Links | Author | Description | Answers |
|---|---|---|---|---|
| Alternating Series | Word PDF | Fun worksheet practising sum of series problems | — | |
| Trig Proof Challenge 1 | View Online | Worksheet focusing on interesting proof of Pythagoras using trig identities | — | |
| Trig Proof Challenge 2 | View Online | Worksheet looking at showing geometrically trigonometric identities | — | |
| Trig Ratios | PowerPoint | PowerPoint presentation on Trig Ratios in different angle ranges | — |
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Problem Solving Resources
| Resource Name | Download Links | Author | Description | Answers |
|---|---|---|---|---|
| ACT Questions | Word PDF | A selection of questions taken from the American College Tests - similar to challenging GCSE questions | Answers | |
| UKMT+ Squaring and Square Roots | Word PDF | UKMT+ Worksheet that uses a UKMT question to practise forming and solving interesting quadratic equations | Answers | |
| UKMT+ Percentages Investigation | Word PDF | UKMT+ Worksheet that uses a UKMT question to investigate interesting properties of percentages | Answers | |
| Adding Fractions UKMT+ | Word PDF | UKMT+ worksheet that uses a JMC question on adding fractions to practise addition of fractions with different denominators | Answers | |
| Adding Recurring Decimals UKMT+ | Word PDF | UKMT+ worksheet that uses an IMC question on recurring decimals to practise addition of decimals with carrying | Answers | |
| UKMT+ Factorising and Simplifying Fractions | Word PDF | UKMT+ worksheet building on a JMC question about simplifying fractions - builds on factorising to help simplify and eventually leads to questions on factorials | Answers |
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