GCSE Maths 2026: Paper 3 - challenging questions

1)  Simplify: ∛(27x⁶y³) Solve: 2³ˣ⁻¹ = 1 / √128 Which one of the following is the bigger? Show your working with all necessary steps: 3⁵² or 4³⁹ 2)  ABC is a right-angled triangle. AB = BC = 1 cm. The side, BC, is extended in such a way that AC = CD. Find the value of CD and leave the answer in surd f…

Read more »

Physics of Bungee Jumper for A Level Physics

The Energy Transition Phases Assume the jumper of mass m starts from rest at height h. The bungee cord has a natural length L and a stiffness (spring constant) k. Phase A: The Freefall (0 < y  < L) Before the cord tightens, the jumper is in freefall. Forces: Only weight (mg) acts on the jumper (i…

Read more »