Polynomials

System Speak

Age 16 to 18 Challenge Level:

Five equations... five unknowns... can you solve the system?

Power Quady

Age 16 to 18 Challenge Level:

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

Direct Logic

Age 16 to 18 Challenge Level:

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

Implicitly

Age 16 to 18 Challenge Level:

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

Quad Solve

Age 16 to 18 Short Challenge Level:

Can you solve this problem involving powers and quadratics?

Common Divisor

Age 16 to 18 Short Challenge Level:

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

Unit Interval

Age 16 to 18 Short Challenge Level:

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

Inner Equality

Age 16 to 18 Short Challenge Level:

Can you solve this inequalities challenge?