Maths blog posts | TeachTutti

GCSE students in a classroom learning factorising expressions, with a teacher pointing to a quadratic equation on the whiteboard.

5 min read

Factorising expressions - GCSE Maths

Learn how to factorise algebraic expressions with this GCSE Maths guide. Covering single brackets, quadratics, and the difference of two squares. Step-by-step examples and quiz questions are provided to test your understanding.

Liam Hindson

04 Aug, 2025

$Abstract artwork featuring minimalist geometric shapes and the fraction 1/2, using bold cream and orange forms on a teal background to symbolise fractional concepts.$

Student

10 min read

Fractions | GCSE Maths Revision

Fractions are used to represent a part of the whole. They appear throughout GCSE Maths as a foundation topic. This guide covers key fraction skills, including simplifying, comparing, converting and calculating. Step-by-step examples and practice questions are included.

Liam Hindson

12 Jul, 2025

Cover illustration showing 3D shapes including a cube, sphere, cylinder, and pyramids, with the title

Student

5 min read

3d shapes - GCSE Maths

Explore the essential 3D shapes for GCSE Maths, including cubes, cylinders and pyramids. This guide explains key terms like faces, edges and vertices. It shows you how to calculate surface area and volume with easy formulas, visual aids and quiz questions.

Liam Hindson

22 Jun, 2025

Illustration showing two inequalities on a graph. A dashed line labelled y < x and a solid line labelled y ≥ −x form a shaded region between them, clearly indicating the solution area.

Student

4 min read

Graphs of inequalities - GCSE Maths Higher

Learn how to plot inequalities on graphs, interpret shaded regions and understand intersections of inequalities. This article includes step-by-step methods, practical examples and visual illustrations to reinforce learning. Quiz questions are included to test your understanding of graphing inequalities and applying them to real-life scenarios.

Liam Hindson

01 Jun, 2025

Educational graphic titled 'Factors and Multiples for GCSE Maths' with the number 12 in a large circle, representing a target number. Below it, numbers 1, 2, 3, 4, 5, and 8 are shown in a dark blue box, representing potential factors or multiples, with a green asterisk adding abstract visual interest.

Student

7 min read

Multiples and Factors - GCSE Maths

Factors divide exactly into numbers without remainders, while multiples are produced by multiplying numbers together. This guide explains factors, multiples, prime numbers and prime factorisation for GCSE Maths. Detailed examples, including the use of factor trees, demonstrate methods essential for solving problems involving the Highest Common Factor and Lowest Common Multiple.

Liam Hindson

11 May, 2025

Student

8 min read

How To Use iteration - GCSE Maths Revision

Iteration is when we approximate solutions to challenging equations. It involves repeatedly applying a formula with an initial starting value, progressively moving towards the correct solution. Understanding this method graphically and numerically helps students confidently tackle related exam questions.

Liam Hindson

22 Apr, 2025

Student

8 min read

Two dimensional shapes - GCSE Maths

A GCSE Maths guide to two-dimensional shapes, which are drawn on a flat plane and can only be measured by length and width. The article covers key properties, area and perimeter formulas, angles, symmetry, and compound shapes. Includes worked examples and interactive quiz questions to test your understanding.

Liam Hindson

31 Mar, 2025

A visually engaging cover image for a GCSE Maths blog post about histograms. The image features a clean, modern histogram graph with bars in shades of blue, set against a subtle mathematical grid background. A calculator and pencil are placed beside the histogram, symbolizing problem-solving and study.

Student

10 min read

Representing data using Histograms for GCSE Maths

Learn about histograms for GCSE Maths - what they are, how to draw them and how to interpret them. We cover key concepts like frequency density, class width and distribution shapes. Step-by-step examples and practice questions included.

Liam Hindson

10 Mar, 2025

Student

12 min read

How to proof maths, including geometric and algebraic proof | GCSE Math Revision

Mathematical proof is a statement that is always true, regardless of the numbers used. This article covers algebraic and geometric proof methods. It explains key proof techniques, including direct proof, proof by exhaustion and proof by contradiction. Examples and quiz questions are included to test your knowledge.

Liam Hindson

15 Feb, 2025

$A visually dynamic and abstract image illustrating GCSE Maths concepts of negative and fractional indices. The design features colourful geometric shapes like cubes and spheres intertwined with mathematical symbols, such as x^-2 and cube roots, on a gradient background of soft blues and purples. The flowing lines and visuals represent the complexity and beauty of mathematics.$

Student

6 min read

Negative and fractional Indices | GCSE Maths

Learn about negative and fractional indices for GCSE Maths. Negative indices represent reciprocals, while fractional indices combine roots and powers. The laws of indices are covered and clear examples are provided. Test your knowledge with plenty of practice questions.

Liam Hindson

26 Jan, 2025

Abstract educational-themed image featuring overlapping circles, geometric shapes, and numerical patterns, symbolising mathematical concepts like Highest Common Factor (HCF) and Lowest Common Multiple (LCM).

Student

6 min read

Highest Common Factor (HCF) and Lowest Common Multiple (LCM)

Learn about the Highest Common Factor (HCF) and Lowest Common Multiple (LCM) for GCSE Maths. This article covers techniques like listing factors and multiples, using prime factorisation and creating Venn diagrams. Common mistakes and tips to avoid them are provided, ensuring students approach HCF and LCM problems with confidence. Examples and quiz questions are included to test your knowledge.

Liam Hindson

05 Jan, 2025

A minimalist graph showing a straight line on a coordinate grid, highlighting the relationship between the x-axis and y-axis. The graph visually represents the concept of straight line equations for educational purposes.

Student

12 min read

Straight line graphs | GCSE Maths

Learning about straight line graphs, a topic in GCSE Maths. We cover the general equation y = mx + c, covering the gradient (m) and y-intercept (c) and how to plot and interpret these graphs. Examples and quiz questions are included to test your knowledge, as well as common mistakes to avoid.

Liam Hindson

15 Dec, 2024

An abstract and colourful illustration showcasing a ruler with accurate centimetre and inch markings, surrounded by vibrant geometric shapes and patterns, representing the concept of units of measurement.

Student

4 min read

Standard units of measure - GCSE Maths

Explore the fundamentals of units of measure, including metric and imperial systems, conversions, and their practical applications. Examples and tips help GCSE Maths students revise this topic. Quiz questions are given to test understanding and reinforce learning.

Liam Hindson

24 Nov, 2024

Educational image of geometric constructions in progress, featuring a ruler, compass, and protractor on graph paper. The setup includes a drawn circle, perpendicular bisectors, and angle arcs, illustrating key concepts of loci and constructions in GCSE Maths.

Student

7 min read

Loci and constructions

Learn about Loci and Constructions for GCSE Maths. Includes perpendicular bisectors, angle bisectors and bearings. Practical examples and explanations guide readers on how to use essential tools like the compass and protractor to draw geometric constructions. Quiz questions are included to test your knowledge and tips for avoiding common mistakes.

Liam Hindson

27 Oct, 2024

Cover image for a GCSE Maths blog on percentages, featuring percentage symbols, calculators, and mathematical graphs in a clean, modern design.

Student

5 min read

Find the percentage of an amount: GCSE Maths

Learn to solve percentage problems for GCSE Maths, including calculating a percentage of an amount, understanding percentage increase and decrease, and converting between percentages, decimals, and fractions. Each concept is broken down with clear examples, step-by-step methods, and a quiz to test your understanding.

Liam Hindson

06 Oct, 2024

Student

4 min read

Statistics - Revision guide for Maths GCSE

Explore key concepts in GCSE Maths Statistics, including measures of central tendency, data representation and sampling methods. This guide delves into understanding different data types, common mistakes to avoid, and how to interpret data effectively. Quiz questions are included to support your exam preparations.

Liam Hindson

15 Sep, 2024

Teenager studying at a desk with a notepad and calculator in a quiet home environment, focused on their work, with a clean and minimalistic background.

Student

9 min read

Standard form - GCSE Maths

Learn about standard form for GCSE Maths. This article covers everything from basic concepts to real-world applications, common mistakes to avoid and practical exam tips. Whether you're preparing for exams or looking to strengthen your maths skills, this post provides clear explanations, examples, and quizzes to help you succeed. Ideal for revision and GCSE exam preparation.

Liam Hindson

27 Aug, 2024

Student

11 min read

Conditional Probability for GCSE Higher Maths

Discover the ins and outs of conditional probability for GCSE Maths. From basic concepts to exam tips, we provide examples and quiz questions to cement and test your understanding of this topic.

Liam Hindson

22 Jul, 2024

Diagram illustrating the concepts of direct and inverse proportion with a teacher explaining the concept by pointing to a whiteboard in a secondary-school classroom.

Student

9 min read

Direct and inverse proportion: GCSE Maths

A guide on direct and inverse proportion tailored for GCSE Maths students, featuring definitions, examples, problem-solving steps, and practice questions.

Liam Hindson

01 Jul, 2024

Student

15 min read

Simplifying Surds: A GCSE Maths guide

Discover the essential guide to mastering surds in GCSE Maths. Simplify, understand, and solve surds with ease. Plus, find expert tutors for personalized learning.

Liam Hindson

11 Jun, 2024

A visual representation of a probability tree diagram illustrating outcomes of a coin toss.

Student

11 min read

Calculate Probability in maths

Discover the essentials of probability in mathematics for GCSE Maths. Learn about theoretical and experimental probability, understand the importance of conditional probability and Bayes' Theorem, and explore real-life applications of probability. This guide includes examples and quizzes to test your knowledge.

Liam Hindson

20 May, 2024

Student

9 min read

How to calculate ratios: GCSE Maths

Explore the essentials of understanding and applying ratios with our guide for GCSE Maths. From the basics of ratio calculation to practical applications in real-world scenarios, this article offers examples and quiz questions to enhance your mathematical skills.

Liam Hindson

29 Apr, 2024

Student

9 min read

Geometry circle theorems for GCSE Maths

Dive into the world of circle theorems with this guide featuring key concepts, examples and quizzes for GCSE Maths students.

Liam Hindson

22 Apr, 2024

An educational image depicting various types of transformations, including reflections, rotations, translations, and enlargements, designed for GCSE Maths students.

Student

11 min read

A Guide to Transformations for GCSE Maths

Learn about geometric transformations with our guide designed for GCSE Maths students. Explore reflections, rotations, translations and enlargements, complete with examples, quizzes and practical applications. Enhance your understanding of how these transformations apply in real-world scenarios and sharpen your mathematical skills.

Liam Hindson

15 Apr, 2024

Geometric diagrams illustrating circle theorems without text, focusing on circles, angles, tangents, chords, and sectors marked with letters and numbers.

Student

8 min read

Mastering Geometry Circle Theorems: GCSE Maths guide

This post simplifies geometry circle theorems for GCSE Maths students, offering clear explanations, a glossary and quizzes to test your understanding. Perfect for students looking to boost their geometry skills.

Liam Hindson

08 Apr, 2024

Visual representation of various types of polygons, highlighting different shapes, convex & concave forms & simple versus complex polygons.

Student

8 min read

Unlocking Polygons: A guide for GCSE Maths Students

Learn about polygons in our latest GCSE Maths guide. From angles to areas, learn everything with simple explanations and engaging examples.

Liam Hindson

02 Apr, 2024

Illustrative diagram of a right-angled triangle with sides labeled, showcasing trigonometric ratios: sine, cosine, and tangent.

Student

9 min read

A GCSE Maths guide to Trigonometric Ratios

Dive into trigonometric ratios with our GCSE Maths guide. Perfect for students looking to grasp the essentials of sine, cosine, and tangent through simple explanations and examples.

Liam Hindson

25 Mar, 2024

The image shows an A-Level Maths learning about trigonometric identities. A chalkboard filled with complex equations and identities serves as the backdrop for a thoughtful student. Surrounded by textbooks and a calculator, the scene reflects a dedicated study environment.

Student

10 min read

Trigonometric Identities in A-Level Maths

Learn about the world of trigonometric identities with our A-Level Maths student's guide. This guide covers the essentials and walks you through complex problems. Quiz questions are included to test your knowledge.

Liam Hindson

18 Mar, 2024

Student

8 min read

Roots of polynomials & core pure in quadratic equations - A Level Maths

Explore the world of polynomials in A Level Further Maths. This guide provides insights into solving polynomial equations, understanding their roots, and applying key concepts effectively.

Liam Hindson

11 Mar, 2024

Student

9 min read

Trigonometric Ratios: A trigonometry guide to right triangles

Learn about the essentials of trigonometric ratios for GCSE Maths. This article covers sine, cosine, and tangent functions, their applications in real-world scenarios and the mnemonic SOH-CAH-TOA.

Liam Hindson

04 Mar, 2024

$Educational split-view illustration showing rational vs. irrational numbers, highlighting fractions and non-repeating decimals, ideal for GCSE Maths students.$

Student

12 min read

Discover Irrational Numbers in GCSE Maths

Learn about irrational numbers for GCSE Maths. This guide explains the difference between irrational and rational numbers, integers, and real numbers. It clarifies complex concepts and includes quizzes to test your understanding.

Liam Hindson

26 Feb, 2024

Student

11 min read

How to solve Differential Equations

Learn about differential equations with our A Level Maths guide. From First Order to more complex types, learn the solving strategies that will elevate your mathematical skills.

Liam Hindson

19 Feb, 2024

Educational illustration showcasing methods of solving linear equations with algebraic equations on a blackboard, intersecting line graphs, and mathematical symbols, designed for GCSE Maths students.

Student

12 min read

Learn how to solve linear equations

Learn how to solve linear equations with our comprehensive GCSE Maths guide. Explore different methods, practical applications and tips to master this fundamental algebraic concept.

Liam Hindson

15 Jan, 2024

Graphical representation of a quadratic equation showing a parabolic curve on a coordinate axis with the equation axÂ² + bx + c = 0.

Student

9 min read

How to solve Quadratic Equations for GCSE Maths

Dive into the essentials of quadratic equations for GCSE Maths with our detailed guide. Discover solving techniques, practical applications, and expert tips to excel.

Liam Hindson

15 Jan, 2024

Educational illustration of mathematical vectors in various colors showing magnitude and direction, set against a coordinate system with mathematical notations.

Student

6 min read

Learning Vectors in GCSE Maths

Uncover the essentials of magnitude and direction, explore vector operations and see how these crucial concepts apply in real-world scenarios. Interactive quizzes included. Perfect for students preparing for exams or anyone looking to refresh their maths skills.

Liam Hindson

09 Jan, 2024

Student

5 min read

Mastering Ratios in GCSE Maths: A detailed guide

This guide offers an in-depth exploration of ratios in GCSE Maths. It provides students with a blend of clear explanations, real-life examples, and engaging quizzes, ideal for those striving to master this crucial mathematical concept.

Liam Hindson

01 Dec, 2023

Student

6 min read

Succeed with Maths Foundation GCSE: Tips to help you achieve your GCSE Maths

Explore our comprehensive guide to mastering the GCSE Maths Foundation exam. This informative post offers in-depth insights into the curriculum, tailored strategies for success, and specific tips for different exam boards. Ideal for students looking to build confidence and achieve their best in GCSE Maths.

Liam Hindson

28 Nov, 2023

The photo shows the Pythagoras theorem. It showcases a right-angled triangle with mathematical symbols and abstract geometric shapes. The design is modern and engaging, using a professional color scheme that combines educational appeal with visual attractiveness. The image captures the essence of exploring mathematical concepts.

Student

9 min read

Decoding Pythagoras: Your guide to understanding the Pythagorean Theorem

Unlock the mysteries of the Pythagoras theorem with our comprehensive guide. Ideal for GCSE Maths students, this blog post delves into the theorem's fundamentals, applications, and historical significance. Explore engaging examples, quizzes, and a detailed look into how this timeless mathematical principle shapes our understanding of geometry and beyond. Perfect for learners and enthusiasts alike, this post turns complex concepts into an intriguing mathematical journey.

Liam Hindson

27 Nov, 2023

Photo of a classroom chalkboard with the title 'Mathematical Induction for A Level' written prominently. Below the title, there's a drawn sequence of a domino sequence and relevant formulas.

Student

8 min read

Principle of Mathematical Induction: Guide for Maths A Level

Unlock the power of mathematical induction with our comprehensive guide. Tailored for A-Level Maths students, this article demystifies induction through easy-to-follow examples, common pitfalls, and an insightful FAQ section. Whether you're a beginner or looking to master advanced concepts, this guide is your go-to resource.

Liam Hindson

21 Oct, 2023

Student

5 min read

Cracking the Code: Understanding and Solve Inequalities in Algebra

Unlock the mysteries to solve inequalities in algebra with our step-by-step guide. This article is perfect for Maths GCSE students and covers inequality types, solving methods and real-world applications. This inequalities GCSE Maths revision guide includes examples and quizzes.

Liam Hindson

18 Oct, 2023

A guide to algebra covering all topics in the KS3 curriculum

Student

10 min read

How to do algebra

A guide in the basics of how to do algebra. Topics covered include algebra equations and how to use algebraic operations. Examples & questions to solve are provided to test your knowledge.

Liam Hindson

06 May, 2023

A guide to multiplying decimals, including multiplying by a whole number, a decimal, and the powers of 10

Student

6 min read

Learn how to multiply decimals

A complete guide in how to multiply decimals for Key Stage 3 Maths. Examples & questions are included. Topics covered include decimal multiplication by a whole number, another decimal & the power of 10.

Liam Hindson

05 May, 2023

A beginner guide to prime numbers as taught in KS2 and KS3

Student

13 min read

What is a prime number in Maths?

A guide to prime numbers for KS2 and KS3 Maths, This includes listing prime numbers up to 1000, what a prime number is, the sieve of Eratosthenes and how to find a prime. Examples & quizzes are provided.

Liam Hindson

05 May, 2023

Student

9 min read

What is an arithmetic sequence?

Step by step guide to arithmetic sequence inc. jargon (e.g. common difference, consecutive terms), formulas, sum calculate. Examples & questions provided.

Liam Hindson

03 May, 2023