Explaining, convincing and proving
-
-
problemMind Your Ps and Qs
Sort these mathematical propositions into a series of 8 correct statements.
-
problemFarey Neighbours
Farey sequences are lists of fractions in ascending order of magnitude. Can you prove that in every Farey sequence there is a special relationship between Farey neighbours?
-
problemThe Clue Is in the Question
Starting with one of the mini-challenges, how many of the other mini-challenges will you invent for yourself? -
problemMatrix Meaning
Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.
-
problemInverting Rational Functions
Consider these questions concerning inverting rational functions
-
-
problemParticularly General
By proving these particular identities, prove the existence of general cases. -
-
problemAmicable Arrangements
Three of Santa's elves and their best friends are sitting down to a festive feast. Can you find the probability that each elf sits next to their bestie?