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?
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.