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Advanced mathematics

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For younger learners

  • Early Years Foundation Stage

Polynomials

System Speak

Age 16 to 18
Challenge Level Yellow star

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

Power Quady

Age 16 to 18
Challenge Level Yellow star

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

Direct Logic

Age 16 to 18
Challenge Level Yellow star

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

Implicitly

Age 16 to 18
Challenge Level Yellow starYellow star

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

Quad Solve

Age 16 to 18
ShortChallenge Level Yellow starYellow star

Can you solve this problem involving powers and quadratics?

Common Divisor

Age 14 to 18
Challenge Level Yellow star

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

Unit Interval

Age 16 to 18
ShortChallenge Level Yellow star

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

Inner Equality

Age 16 to 18
ShortChallenge Level Yellow star

Can you solve this inequalities challenge?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

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

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