Summing to One
Well done to Tiffany from Cardiff Sixth Form College, Jack from Gatesehead, Raj, Leon from Hitchin Boys School, Deepak from KV Dogra Lines, Niharika from Rugy School, Emily, Christian from Thoren Business School, and Julian from the British School Manila who all submitted correct solutions to this problem.
Here is Deepak's solution.
You may also like
Powerful Quadratics
This comes in two parts, with the first being less fiendish than the second. It’s great for practising both quadratics and laws of indices, and you can get a lot from making sure that you find all the solutions. For a real challenge (requiring a bit more knowledge), you could consider finding the complex solutions.
Discriminating
You're invited to decide whether statements about the number of solutions of a quadratic equation are always, sometimes or never true.
Factorisable Quadratics
This will encourage you to think about whether all quadratics can be factorised and to develop a better understanding of the effect that changing the coefficients has on the factorised form.