Course Structure

So how are we going to get this done?


Every module contains a series of lessons and exercises.  All the lessons are in video format, and the solutions to the exercises are videos as well - so you can follow along with me if you're stuck, or need to make a correction.

Don't worry - every topic and skill that we cover will be taught right from the beginning.  If you're already confident, check out these beginner lessons anyway - you might learn a faster, easier way of doing something, or deepen your understanding of an important idea.

A big part of this journey is learning how to become a mathematical problem solver.  We're going to spend loads of time breaking down this thinking process and this is what will help you to bridge the gap from the basics to the exam questions.

Remember all those times you saw an test question and thought "I've got no idea how to start!  I've never seen anything like this before!" - well, most of the time that's because a basic skill has been wrapped up in a problem solving question.  One of our biggest goals is to learn how to deal with these questions. 

Now, this next bit is really important:


Even with the best of intentions, we all lose sight of our goals from time to time.  That's why it is really important to have someone to help keep you on track.  This is going to be your accountability partner while you're working through the modules.  Here's how it works:

At the end of each of the main modules, you'll get a short test to do.  Your accountability partner (probably a parent), will have the solutions.  Set a sensible schedule with realistic deadlines for getting to these "milestone tests", and when you get there they will mark the work for you - that way you know you're making steady progress, and you have someone watching your back.

If you have some tuition bolted on, you'll be getting help with this aspect in these lessons as well.

So right now:


You need to click on THIS LINK, and get your partner (not you!) to sign up for the accountability pack, then once you've completed your first module, they'll be ready to do their bit!

So now you know what to expect, let's dive right in to our first lesson!

I/GCSE Essential Skills Course

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Getting Started

  • Getting Started
  • Course Structure
  • Your Revision Library

Module 1 - The "Universal Table" and Intro to Solving Equations

  • Introduction to Exchange Rates
  • The Universal Table
  • Flexible Fractions
  • Exchange Rates with the Universal Table
  • Exchange Rates Exercise
  • Exchange Rates Solutions
  • Universal Table Basics
  • Percentages - Lesson 1
  • Percentages - Lesson 2
  • Percentages Exercise
  • Percentages Solutions
  • Percentages Quiz
  • Solving Equations - Part 1
  • Solving Equations: Exercise 1
  • Solving Equations: Solutions 1
  • Multiplying with the BUBBLE GRID!
  • Module 1 Milestone Test
  • Module One - DONE!

End of Module Consolidation

  • Summary worksheet 1
  • Summary worksheet 1 Solutions

Module 2 - More equations, More Percentages, Problem Solving and Pythagoras

  • Equations Involving Brackets
  • Equations Involving Brackets - Exercise
  • Equations with Brackets - Solutions
  • Compound Interest, Depreciation and Simple Interest
  • Reverse Percentage Problems
  • Interest and Reverse Percentages Quiz
  • Percentages Exercise 2
  • Percentages Exercise 2 Solutions
  • Equations Involving Fractions
  • Equations with Fractions Exercise
  • Equations with Fractions - Solutions
  • Equation Solving Quiz
  • Intro to Pythagoras' Theorem
  • Pythagoras' Theorem
  • Pythagoras Problem Solving Example Question
  • Pythagoras Solution (FSNS in action)
  • Pythagoras and Problem Solving Exercise
  • Pythagoras and Problem Solving - Solutions
  • Problem Solving Quiz
  • Module 2 Milestone Test
  • End of module 2

End of Module Consolidation

  • Summary worksheet 2
  • Summary worksheet 2 Solutions
  • Percentages, Compound Interest and Problem Solving
  • Problem Solving factsheet
  • Problem Solving 1
  • Problem Solving 1 Solutions

Module 3 - More Universal Table and Problem Solving (SOH CAH TOA)

  • Pie Charts Lesson
  • Pie Charts Exercise
  • Pie Charts Solutions
  • Unit Conversions Lesson
  • Unit Conversions Exercise
  • Unit Conversions Solutions
  • Intro to Trigonometry (SOH CAH TOA)
  • Intro to Trigonometry (SOH CAH TOA) -Written Version
  • Trigonometry Questions
  • Trigonometry Solutions
  • Module 3 Quiz
  • Module 3 Milestone Test
  • End of Module 3

End of Module Consolidation

  • Summary worksheet 3
  • Summary worksheet 3 Solutions
  • Equation Solving, Brackets "Deep Dive", Problem Solving
  • Problem Solving factsheet
  • Problem Solving 2
  • Problem Solving 2 Solutions

Module 4 - Equations, Similar Shapes and Problem Solving Practise

  • Solving Equations with Multiple Fractions
  • Equation Solving Exercise
  • Equation Solving Solutions
  • Similar Shapes Lesson 1
  • Similar Shapes Exercise 1
  • Similar Shapes Exercise 1 Solutions
  • Similar Shapes Quiz
  • Problem Solving Formula Sheet
  • Problem Solving Exercise
  • Problem Solving Solutions
  • Similar Shapes Lesson 2
  • Similar Shapes Exercise 2
  • Similar Shapes Exercise 2 Solutions
  • Multiplying DECIMALS with the BUBBLE GRID!
  • Module 4 Milestone Test
  • Module Four - Conquered.

End of Module Consolidation

  • Summary worksheet 4
  • Summary worksheet 4 Solutions
  • The Percentage Timeline Method, Trig and Pythagoras Questions
  • Problem Solving factsheet
  • Problem Solving 3
  • Problem Solving 3 Solutions
  • BONUS - Exchange Rates and MORE Universal Table topics

Module 5 - Probability and Problem Solving

  • Probability Basics
  • Probability Exercise 1
  • Probability Exercise 1 Solutions
  • Probability - The Art of Careful Reading
  • Probability Exercise 2
  • Probability Exercise 2 Solutions
  • Combined Probability
  • Probability Exercise 3
  • Probability Exercise 3 Solutions
  • Probability Quiz
  • Probability - Tree Diagrams
  • Probability - Tree Diagrams Exercise
  • Probability - Tree Diagrams Solutions
  • Problem Solving - Bigger Picture
  • Problem Solving - Hidden Question Training
  • Hidden Problems - Question 1
  • Hidden Problems - Question 2
  • Hidden Problems - Question 3
  • Module 5 Milestone Test
  • Module 5, eat my dust!

End of Module Consolidation

  • Summary worksheet 5
  • Summary worksheet 5 Solutions
  • Another Probability Question Example
  • Trig "deep dive", Revision Strategies, more Universal Table

Module 6 - Rearranging Formulae, Straight Line Graphs and Relative Frequency

  • Rearranging Formulae Lesson
  • Rearranging Formulae Exercise
  • Rearranging Formulae Exercise Solutions
  • Plotting Graphs - The Basics
  • Interpreting the Straight Line Graph Equation
  • Using Gradient and Y-Intercept
  • Creating Graph Equations
  • Straight Line Graphs Quiz
  • Parallel and Perpendicular Lines
  • Hidden Problems - Question 1
  • Hidden Problems - Question 2
  • Hidden Problems - Question 3
  • Relative Frequency (Lesson and Exercise)
  • Relative Frequency Solutions
  • Relative Frequency Quiz
  • Module 6 Milestone Test
  • Module 6, all wrapped up!

End of Module Consolidation

  • Summary worksheet 6
  • Summary worksheet 6 Solutions
  • An Unusual Probability Question
  • Exam Questions based on modules 1 to 5
  • Inequalities - shading regions on graphs

Module 7 - More FECS IT, Quadratic Algebra

  • HIGHER PAPER ONLY - rearranging formulae exercise
  • HIGHER PAPER ONLY - rearranging formulae solutions
  • Solving Inequalities
  • Solving Inequalities Exercise
  • Solving Inequalities Solutions
  • Factorising Two Term Expressions
  • Factorising Two Term Expressions - Exercise
  • Factorising Two Term Expressions - Solutions
  • Full Quadratic Factorisation
  • Quadratic Factorisation Exercise
  • Quadratic Factorisation Solutions
  • HIGHER PAPER ONLY - harder quadratic factorising
  • HIGHER PAPER ONLY - harder quadratic factorising questions
  • HIGHER PAPER ONLY - harder quadratic factorising solutions
  • Solving Quadratics Using Factorisation
  • Solving Quadratics Exercise
  • Solving Quadratics Solutions
  • Module 7 Milestone Test
  • Module 7 is DONE!

End of Module Consolidation

  • Summary worksheet 7
  • Summary worksheet 7 Solutions
  • All about Straight Line Graphs

Module 8 - Ratios, Indices, Venn Diagrams and the Quadratic Formula

  • Ratios with the Universal Table
  • Ratios Exercise
  • Ratios Exercise Solutions
  • Hidden Problems - Question 1
  • The Quadratic Formula
  • The Quadratic Formula - Exercise
  • The Quadratic Formula - Solutions
  • Hidden Problems - Question 2
  • Hidden Problems - Question 3
  • Filling in Venn Diagrams (Lesson and Exercise)
  • Filling in Venn Diagrams Solutions
  • Interpreting Venn Diagrams (Lesson and Exercise)
  • Interpreting Venn Diagrams Solutions
  • Probability and Venn Diagrams (Lesson and Exercise)
  • Probability and Venn Diagrams Solutions
  • Laws of Indices - Lesson 1
  • Laws of Indices - Lesson 2
  • Laws of Indices - Lesson 3
  • Module 8 Milestone Test
  • End of Module 8 - amazing work!

End of Module Consolidation

  • Summary worksheet 8
  • Summary worksheet 8 Solutions
  • Past Paper Questions

Your Revision Library

  • Extra lessons, exercises and past papers to boost your revision

Exam Questions, Extra Exercises and Course Consolidation

  • First and MOST importantly!
  • Focus on Foundation
  • WJEC Intermediate Question Selection based on modules 1 to 8.pdf
  • Solutions to Non-Calculator Section
  • Solutions to Calculator Section
  • WJEC Intermediate Selection
  • WJEC Intermediate Selection, Non Calc Solutions
  • WJEC Intermediate Selection, Calc Solutions
  • WJEC Higher Selection
  • WJEC Higher Selection Solutions
  • Probability Intermediate Exam Questions and Solutions
  • Probability Higher Exam Questions and Solutions