Problem solving 101 Never be stumped by a maths problem again, with this crash course from the ever-competent Stephen Muirhead

Hedy Lamarr: Hollywood star and secret inventor James Grime gets intimate with 'the most beautiful woman in the world' from the golden age of Hollywood

Prime jewellery Make your own treasures, guaranteed to be priceless on a future episode of Antiques Roadshow

Roots: Pythagoras of Samos Pythagoras gave us so much more than a² + b² = c²

Proof by storytelling Sit in your favourite chair and do away with those tedious algebraic proofs

The Buckingham π theorem and the atomic bomb Diego Carranza tells you to stop worrying and dimensionally analyse the bomb