List

Polynomials

Symmetricality
problem

Symmetricality

Age
14 to 18
Challenge level
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Five equations and five unknowns. Is there an easy way to find the unknown values?
Power Quady
problem
Favourite

Power Quady

Age
16 to 18
Challenge level
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Find all real solutions of the equation (x^2-7x+11)^(x^2-11x+30) = 1.
Direct logic
problem
Favourite

Direct logic

Age
16 to 18
Challenge level
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Can you work through these direct proofs, using our interactive proof sorters?
Implicitly
problem

Implicitly

Age
16 to 18
Challenge level
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Can you find the maximum value of the curve defined by this expression?
Quad solve
problem

Quad solve

Age
16 to 18
Challenge level
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Can you solve this problem involving powers and quadratics?
Unit interval
problem

Unit interval

Age
16 to 18
Challenge level
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Can you prove our inequality holds for all values of x and y between 0 and 1?
Inner equality
problem

Inner equality

Age
16 to 18
Challenge level
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Can you solve this inequalities challenge?
Common Divisor
problem

Common Divisor

Age
14 to 18
Challenge level
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Can you find out what numbers divide these expressions? Can you prove that they are always divisors?