Polynomials

System Speak

Stage: 5 Challenge Level: Challenge Level:1

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

Power Quady

Stage: 5 Challenge Level: Challenge Level:1

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

Direct Logic

Stage: 5 Challenge Level: Challenge Level:1

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

Implicitly

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

Quad Solve

Stage: 5 Short Challenge Level: Challenge Level:2 Challenge Level:2

Can you solve this problem involving powers and quadratics?

Weekly Challenge 31: Common Divisor

Stage: 5 Short Challenge Level: Challenge Level:1

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

Unit Interval

Stage: 5 Short Challenge Level: Challenge Level:1

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

Inner Equality

Stage: 5 Short Challenge Level: Challenge Level:1

Can you solve this inequalities challenge?