List

Underground Mathematics on NRICH

To log or not to log?
problem

To Log or Not to Log?

Age
16 to 18
Challenge level
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Which of these logarithmic challenges can you solve?

Log lattice
problem

Log Lattice

Age
16 to 18
Challenge level
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Can you figure out how each log fits into the lattice?
Reach for the stars
problem

Reach for the Stars

Age
16 to 18
Challenge level
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Some graphs grow so quickly you can reach dizzy heights...
$t$ for \tan
problem

T for Tan

Age
16 to 18
Challenge level
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Can you find a geometric proof for some $\tan\theta$ trig identities?

Inspecting Identities
problem

Inspecting Identities

Age
16 to 18
Challenge level
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Using trig identities to help sketch graphs of functions
Trig countdown
problem

Trig Countdown

Age
16 to 18
Challenge level
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A game for one or more players in which you make a target value by building a trig expression
Paired parabolas
problem

Paired Parabolas

Age
16 to 18
Challenge level
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Some parabolas are related to others. How are their equations and graphs connected?

Which fraction is bigger?
problem

Which Fraction Is Bigger?

Age
16 to 18
Challenge level
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Given two algebraic fractions, how can you decide when each is bigger?