Free Maths Resources
Over the past few years here at Gresty Academy we have produced around a thousand educational maths videos, all completely free to access on our YouTube Channel and Facebook page. They have been watched millions of times and they cover an abundance of maths topics and difficulty levels, conveniently sorted into playlists and podcasts for your viewing and revision pleasure. On this page can be found links to various groupings of our videos, according to your mathematical requirements.
College Entrance Exam Help
While our maths videos cover all core areas, a significant portion of them are structured specifically to help students prepare for College Entrance Exams, whether they be heavily maths-focused (TMUA, JEE Main, STEP etc) or general college admissions tests (UPCAT, GMAT, SAT etc).
Note: If you are studying for TMUA you are in luck, for we have an abundance of completely free resources specifically tailored to that exam, namely:
- A Crash Course in TMUA 'Must-Know' Maths playlist. Jam-packed with questions similar to those found on TMUA, all with video solutions; and
- TMUA Revision Help Page. Contains mock papers (with video solutions to each question) and questions split by topic, all with video solutions.
To indicate the difficulty and mathematical depth of each of our videos, we use the following classifications:
- FOUNDATION (F) — aimed at students taking GCSE Mathematics, IGCSE Mathematics and equivalent qualifications, focusing on core concepts and essential skills.
- STANDARD (S) — aimed at students studying Standard Level IB Mathematics, A Level Mathematics and equivalent qualifications, as well as general non-Maths specialised College Entrance Examinations such as UPCAT or GMAT.
- ADVANCED (A) — aimed at students studying Higher Level IB Mathematics, Further Mathematics and equivalent qualifications, as well as heavy Maths content College Entrance Examinations such as TMUA and JEE Main.
- CHALLENGE (C) — aimed at students studying for College Entrance Examinations with very demanding Maths content, such as JEE Advanced and STEP - as well as national and international Olympiad and Maths competitions.
Complete List of College Entrance Exam Videos
Here is our comprehensive list of College Entrance Exam videos, classified according to the above difficulty grades and then ordered alphabetically by topic:
FOUNDATION LEVEL (F)
- Frustum Height - How to Calculate
- Graphical Inequalities (Straight Lines) - How to Solve
- Mean From Grouped Frequency - How to Calculate
- Prime Factorisation for LCM and GCD - How to Use
- Statistics For Psychology Students - Part One
- Statistics For Psychology Students - Part Two
STANDARD LEVEL (S)
- Binomial Expansion - How to do with Pascal's Triangle
- Complex Numbers, The Three Forms - Introduction
- Continuous Random Variables - Introduction
- Double Summations - How to Evaluate
- Inverse of a Function - How to Find
- Polar Graphs and Cardioids - 7 Must Know Questions
- Polar Graphs and Circles - 7 Must Know Questions
- Proofs by Contradiction - Introduction
- Proofs by Mathematical Induction - Introduction
- Rational Inequalities - How to Solve
- Separation of Variables for Differential Equations - How to Apply
ADVANCED LEVEL (A)
- Diophantine Equations - How to Solve with Euclid's Algorithm
- Double Summations with Dependent Indices - How to Solve
- Euclid's Algorithm for LCM and GCD - How to Apply
- Integrating cos^n(x) for odd 'n' - How to Do
- Integrating Factors and Differential Equations - How to Solve
- L'Hopital's Rule for Limits of Indeterminate Forms - Introduction
- Multinomial Theorem - How to Use
- Non-Exact First Order Differential Equations - How to Solve
- Premises, Conclusions and Valid/ Invalid Arguments - Introduction
- Rotating a Parabola - How to find Equation
- Simultaneous Equations with Complex Variables - How to Solve
- Square Root under Square Root - How to Solve
- Volumes of Solids of Revolution - Introduction
CHALLENGE LEVEL (C)
- Cos(z)=3 - How to Solve (Complex Solutions)
- Diophantine Equations (Three Variables) - How to Solve
- Fundamental Theorem of Calculus - How to Answer Exam Questions
- Lagrange Multiplier - Minimum Distance of Plane from Point
- Lambert W Function - The Simple Guide
- Markov Chains and Coin Tosses - How to Use
- Modular Multiplicative Inverse - How to Find
- Nearly Homogenous Differential Equations - How to Solve
- Volumes Bounded by Surfaces - Introduction
- Volumes of Solids of Revolution about a Diagonal Axis - How to
- Volumes of Solids of Revolution using Double Integrals - How to
General Maths Video and Teaser Links
Links to our 'One Minute Teaser' Playlists
For links to our 'One Minute Teaser' podcasts ordered chronologically (ie starting with teaser #1), check out the following links:
- One Minute Teasers #1 - #100
- One Minute Teasers #101 - #200
- One Minute Teasers #201 - #300
- One Minute Teasers #301- #400
- One Minute Teasers #401 - #500
- One Minute Teasers #501 -
Some people prefer the teasers grouped by difficulty level ('mild', standard', 'medium', 'quite tough' and 'tough') per the below links. As well as being fun, these are great for revision - enjoy!
- Mild One Minute Teasers
- Standard One Minute Teasers
- Medium One Minute Teaser
- Quite Tough One Minute Teasers
- Tough One Minute Teasers
Links to our YouTube Podcasts:
Our most popular podcasts (apart from our 'Fun Maths Teasers') are our 'Explainer Video' and 'A Crash Course in...' series of podcasts, which aim to help anybody who needs to understand and excel in a topic quickly. Hence in these podcasts there is very little general introductory irrelevant 'waffle', instead we dive straight into discussing and answering exam-style questions, specifically designed to highlight and illustrate the main knowledge, skills, techniques and tricks needed in order to get up to speed very quickly in the topic or exam. Links to the various podcasts that we have produced appear below:
Explainer Video Podcasts
- 'Introduction to...' videos - this playlist contains dozens of videos introducing various maths topics
- 'How To...' videos - this playlist contains dozens of videos explaining how to answer various specific question types in maths
- 'Revision Guide and Reviewer' videos - this playlist contains dozens of videos containing revision guides and reviewers of various maths topics
'A Crash Course in...' Podcasts on Specific Exams and Interviews
- A Crash Course in TMUA 'Must-Know' Maths - we also offer exam coaching for TMUA
- A Crash Course in UPCAT 'Must-Know' Maths - we also offer exam coaching for UPCAT
- A Crash Course in IB Higher Level Analysis and Approaches (AA HL) - we also offer exam coaching for Higher Level IB Maths
- A Crash Course in Edexcel Further Pure Maths F1- we also offer exam coaching for all Further Maths courses
'A Crash Course in...' Podcasts by Maths Topic (ordered alphabetically)