This course starts on the 8thNovember 2025
1. Numbers & Percentages
01
Fractions, Decimals, Percentages
Ever wondered how gaming scores, social media follower counts, and test results connect? Fractions, decimals, and percentages are three ways to express the same mathematical relationships that appear everywhere in your world.
Converting fluently between these formats builds confidence whether you're calculating your improvement in a favourite game, understanding data from TikTok analytics, or interpreting survey results.
This numerical fluency forms the foundation for advanced probability work and statistical analysis, while developing essential skills for making informed decisions about money, data, and everyday comparisons.
02
Percentage Increase & Decrease
From tracking follower growth to understanding sale prices, percentage change calculations help you see how quantities grow or shrink around you.
Learning both quick mental methods and systematic approaches means you can tell at a glance when “50% extra free” really is better value than “30% off.”
These skills prove invaluable for compound interest problems and exponential modelling, while building practical numeracy for smart shopping, gaming-progress tracking and interpreting news statistics.
03
HCF, LCM, Prime Factorisation
Think of prime factorisation as breaking numbers down to their mathematical DNA – discovering the building blocks behind every integer.
Using factor trees, you’ll solve puzzles like finding when different gaming events coincide or organising groups fairly.
These number-theory skills boost your algebraic manipulation abilities and prepare you for factorising expressions, while developing the logical thinking that makes complex relationships clearer and more manageable.
04
Standard Form
How do scientists express the distance to nearby stars or the size of atoms without endless zeros?
Standard form provides an elegant solution for handling extremely large or small numbers, from space exploration to medical research.
Mastering calculations without always relying on calculators deepens your understanding of number magnitude and prepares you for advanced indices work, giving you the tools to interpret scientific data with confidence and precision.
05
Introduction to Ratio
Whether you’re mixing the perfect gaming team, scaling up a recipe for friends or working out map distances, ratios offer systematic methods for expressing relationships and sharing fairly.
Building confidence with equivalent ratios and proportional reasoning helps you tackle everything from splitting costs on group outings to analysing sports and social-media statistics.
These foundational skills link directly to similarity in geometry and algebraic problem-solving, developing the proportional thinking that appears throughout advanced mathematics and real-world applications.
Telephone: +44 07466 980 795
E-mail: info@focusmathstutors.co.uk