Quiz

42 questions across 6 decks. Every answer is explained and linked back to the glossary entry it comes from, so a wrong guess is worth as much as a right one.

Answers are hidden behind a control on each question, not by scripting. Nothing here needs JavaScript.

• Foundations and logic · 7 questions

  What proof, independence and undecidability actually mean, and why three of those words get used for two different things.

• Number theory · 10 questions

  Primes, perfect numbers, and the exact statements of Collatz, Goldbach and abc — including the conditions that are usually dropped.

• Geometry and topology · 6 questions

  Deformation, dimension, holes and knots, and what "the same shape" is allowed to mean.

• Graph theory and combinatorics · 6 questions

  Colouring, planarity, paths, and the difference between adjacent and connected.

• Computation and complexity · 6 questions

  P, NP, completeness, and the two different things "undecidable" is used to mean.

• Millennium Prize Problems · 7 questions

  The seven problems named by the Clay Mathematics Institute in 2000, and the one that has been settled.