Sort these mathematical propositions into a series of 8 correct statements.
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?
Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.
Consider these questions concerning inverting rational functions
Can you make all of these statements about averages true at the same time?
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?
In a right-angled tetrahedron prove that the sum of the squares of the areas of the 3 faces in mutually perpendicular planes equals the square of the area of the sloping face. A generalisation of Pythagoras' Theorem.
