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
Challenge Level

Can you find out what numbers divide these expressions? Can you prove that they are always divisors?

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?