An extension on Pythagoras’ theorem, including multi-step problems. Answers provided.

An extension task that guides students through sketching quadratic graphs using completing the square, ending with the case for general a, b and c where “a” can be positive or negative. Answers provided.

Worksheet that guides students through the (now standard A level maths) proof that root 2 is irrational. Also included is a generalisation to root c, where c is non-square.

Starter and main worksheet on pressure, force and surface area. Answers provided.

Worksheet that gets students to derive the process of finding the nth term of linear sequences. Answers provided.