This website is what it says on the tin - a compilation of maths challenges curated by students.
Challenges Are Castles
Taking down a castle is incredibly difficult, and takes a lot of concerted effort. Planning your attack on each castle requires a unique, customised strategy which takes advantage of the castle's weak points.
Challenges are exactly this! This website is a castle of castles - each challenge presents a unique situation of some really interesting mathematical ideas.
Challenges are rated on a scale from α to ζ. The further along the Greek Alphabet you go, the harder the challenges get!
Have a Stab...
Darkness Lingers.pdfDarkness Lingers
What's the fewest number of walls in a room so that an infinitely-reaching light cannot light up the whole room?
Hauhet's Curse
Can you always split up a fraction into the sum of unit fractions (a recriprocal of a whole number)?
Hauhet's Curse.pdfMr Dobby Has Some Triangles.pdfMr Dobby Has Some Triangles
What are all the possible right-angled triangles whose perimeter and area are numerically equal, if all the side-lengths are positive integers?
New on the Block
Fibonacci's Odds.pdfAn Exact Tangent.pdfInvestigation It's Möbius Time 1.pdfInto the Ground.pdfAscending Artefacts.pdfCity Grids.pdfQuaestio Abaci.pdf