Find all real solutions of the equation (x^2-7x+11)^(x^2-11x+30) = 1.

Can you work through these direct proofs, using our interactive proof sorters?

Can you find the maximum value of the curve defined by this expression?

Can you solve this problem involving powers and quadratics?

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

Can you prove our inequality holds for all values of x and y between 0 and 1?