GCSE Maths Tutorials — Ratio & Proportion

Simplifying Ratios

Simplifying ratios is a fundamental skill in GCSE Maths, helping students express relationships between quantities in their simplest form. This subcategory teaches learners to reduce ratios using c...

Sharing in a Ratio

Sharing in a ratio involves dividing quantities proportionally according to a given ratio. This subcategory covers dividing amounts into parts, mixing ratios, and applying reasoning to practical sc...

Direct Proportion

Direct proportion explores relationships where one quantity increases or decreases in exact correspondence with another. This subcategory teaches students to identify directly proportional quantiti...

Inverse Proportion

Inverse proportion examines situations where one quantity increases as another decreases, maintaining a constant product. This subcategory teaches students to recognise inverse relationships, calcu...

Best Value

Best value focuses on comparing options to determine the most efficient or cost-effective choice. This subcategory teaches learners to calculate unit prices, ratios, and percentages to make informe...

Currency Conversion

Currency conversion teaches students to work with exchange rates to calculate equivalent values between currencies. This subcategory covers multiplying and dividing by rates, converting in both dir...

Recipes and Scaling

Recipes and scaling involve adjusting quantities proportionally to make different amounts of a mixture or meal. This subcategory teaches students to scale ingredients up or down using ratios, fract...

Speed Distance Time

Speed, distance, and time problems explore how quantities relate through the formula Speed = Distance ÷ Time, Distance = Speed × Time, and Time = Distance ÷ Speed. This subcategory covers calculati...

Density Mass Volume

Density, mass, and volume problems connect physical measurements through the formula Density = Mass ÷ Volume. This subcategory teaches students to calculate unknown quantities, convert units, and a...

Compound Measures

Compound measures combine multiple quantities, such as speed, density, or pressure, to solve real-world problems. This subcategory teaches students to calculate, convert, and apply compound units s...

Growth and Decay

Growth and decay problems explore proportional changes over time, including percentages, interest, and population or substance changes. This subcategory teaches students to apply formulas for expon...

Percentage Change

Percentage change is a key skill in GCSE Maths for analysing increases or decreases in quantities. This subcategory teaches learners to calculate percentage increases, decreases, and overall change...

Direct Proportion — Scaling with a Constant Rate

Master unitary methods, constants of proportionality, and straight-line graphs through the origin

Inverse Proportion — When More Means Less

Master the constant product rule, reciprocal scaling, and real-life applications

Recipes and Scaling — Proportion in Everyday Cooking

Learn to scale ingredients up or down, handle unit conversions, and apply ratio reasoning to real-life recipe problems