Trace Tell
Worked problems & study guides.
The reasoning behind the answer, written down. Physics, Chemistry and Maths, worked the way we teach them.
PhysicsWorked problem
Why a projectile travels furthest at 45°
A clean derivation of the range equation, and the one reasoning step that shows 45 degrees gives maximum range on level ground.
18 June 2026 · 2 min readRead
MathsWorked problem
Mathematical induction, without the leap of faith
Induction feels like cheating until you see what the inductive step is really doing. A worked Extension 1 proof, reasoned from the idea up.
12 June 2026 · 2 min readRead
ChemistryStudy guide
Le Chatelier's principle, as a way of thinking
Stop memorising shift directions. Le Chatelier's principle is one idea you can reason from every time, across concentration, pressure and temperature.
6 June 2026 · 2 min readRead