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A student writing mathematical proofs on a whiteboard in a classroom setting. The hand holding a marker is visible, but the writing is blurred to emphasize the process of problem-solving.

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.

15 Feb, 2025

A Victorian Christmas scene inspired by A Christmas Carol, featuring a snowy cobblestone street with warm glowing lanterns and festive decorations. In the foreground, an elderly man resembling a transformed Ebenezer Scrooge joyfully hands a small bag to a child, symbolizing generosity. Behind them, townspeople celebrate near a decorated Christmas tree, embodying the spirit of togetherness and joy.

9 min read

Christmas Carol Themes Overview | GCSE English Literature revision

The key themes in Charles Dickens' A Christmas Carol include Christmas spirit, redemption, social injustice, family and generosity. Learn how Dickens contrasts Scrooge’s isolation and greed with the warmth of the Cratchit family and the joy of Fred’s celebrations. Key quotes and plot examples are included and we explore how the novella critiques Victorian society while delivering a timeless moral message. Suitable for all exam boards, including AQA.

09 Feb, 2025

A visually engaging image of an electrolytic cell used in GCSE Chemistry. The setup features a beaker filled with a blue electrolyte solution, two labeled electrodes—'Anode' and 'Cathode'—with visible ion movement and gas bubbles forming at the electrodes. The background depicts a clean laboratory setting with test tubes and scientific equipment.

7 min read

Electrolysis - GCSE Chemistry revision

Electrolysis is when electricity is used to break down ionic compounds into their elements. It involves the movement of positive ions and negative ions, which causes reduction and oxidation. This article covers the electrolysis of molten salts and the electrolysis of aqueous solutions. Key industrial applications include metal extraction, electroplating and hydrogen fuel production. Quiz questions are included to test your knowledge.

02 Feb, 2025

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

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.

26 Jan, 2025

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A dramatic artistic depiction of the courtroom scene from The Merchant of Venice. Shylock stands in the foreground, facing the judge and demanding justice, while Portia, disguised as a male lawyer, stands beside him, pleading for mercy. The grand 16th-century Venetian courtroom features ornate arches, marble pillars, and dramatic lighting, reflecting the tension and moral conflict of the trial.

8 min read

Merchant of Venice by Shakespeare | Key themes

Explore the key themes of The Merchant of Venice, including prejudice, revenge, justice and mercy, love and wealth. We look at how these themes drive the play’s conflicts and shape its characters, from Shylock’s pursuit of justice to the tension between love and material wealth. Aimed at GCSE English Literature students.

20 Jan, 2025

A detailed 3D scientific illustration of a diamond structure, showcasing the tetrahedral arrangement of carbon atoms in a giant covalent lattice. The structure is transparent and crystalline, highlighting its geometric precision and strength.

6 min read

Giant Covalent Molecules - GCSE Chemistry

Learn about giant covalent molecules, including their structure, properties and applications. We look at the unique properties of diamonds, graphite, graphene, and silicon dioxide, such as hardness, electrical conductivity, and high melting points. Quiz questions are included to test your understanding.

13 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).

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.

05 Jan, 2025

Symbolic representation of social inequality inspired by the themes of Blood Brothers. Two contrasting homes, a luxurious house on the left and a run-down terraced house on the right, are split by a jagged crack running vertically. In the foreground, two boys stand facing each other, silhouetted against a dramatic stormy sky.

5 min read

Blood Brothers themes - GCSE English Literature

This article explores the key themes in Blood Brothers by Willy Russell: social class and inequality, superstition and fate, nature versus nurture and violence. It examines how these themes shape the narrative and characters, offering insights for GCSE English Literature students. Quotes are included from the play and links provided for further reading.

29 Dec, 2024

Illustration of a simple electric circuit featuring a battery, resistor, and bulb connected by wires in a clear loop, set against a white background.

8 min read

Electric Circuits | GCSE Physics revision

Learn about the key aspects of electric circuits, including series and parallel circuits, resistance and voltage. We discuss the main components in a circuit, common practical experiments and the formulas needed for GCSE Physics. Examples and quiz questions are included to support GCSE students revision for their exams.

24 Dec, 2024

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.

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.

15 Dec, 2024

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