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Age 14 to 18

Challenge Level

Five equations and five unknowns. Is there an easy way to find the unknown values?

Age 16 to 18

Challenge Level

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

Age 16 to 18

Challenge Level

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

Age 16 to 18

Challenge Level

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

Age 16 to 18

ShortChallenge Level

Can you solve this problem involving powers and quadratics?

Age 14 to 18

Challenge Level

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

Age 16 to 18

ShortChallenge Level

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