What you will learn
Break an unusual problem apart and look for a familiar pattern inside it
Choose a method that fits the problem instead of relying on one memorised recipe
Write a solution that someone else can follow step by step
Check the result and judge whether it makes sense at all
Who this course is for
Students who are bored
These problems go beyond textbook drills and ask for an idea rather than a procedure.
Competition candidates
Good training ground for contests, where the way you think matters more than arithmetic speed.
Teachers looking for material
Ready-made problems with solutions you can put on the board and take apart with a class.
How to use the materials
Download a lesson
Every lesson is a short PDF with theory and worked examples. No account required.
Work through the examples
Cover the solution, solve it your own way, and only then compare. That is the part that makes it stick.
Practise on the board
Open PhiBoard and redo the problem yourself, with formulas, graphs and room to work at hand.
Materials
Open the lesson materials and start learning.
Frequently asked questions
Do the problems come with solutions?
Yes. Every problem includes a full step-by-step solution in the same file.
How hard are they?
From strong secondary-school level up to problems that need a genuine idea, of the kind found at university and in competitions.
Are the materials free?
Yes, they are free to download and need no account.
Can I use them in class?
Yes, you may use them with students. We only ask that you keep the attribution.