2 out of 3
Can you find the value of this function involving algebraic fractions for x=2000?
2 out of 3
Explore the properties of some groups such as: The set of all real numbers excluding -1 together with the operation x*y = xy + x + y. Find the identity and the inverse of the element x.
2 out of 3
Find a connection between the shape of a special ellipse and an infinite string of nested square roots.
2 out of 3
What have Fibonacci numbers to do with solutions of the quadratic equation x^2 - x - 1 = 0 ?
2 out of 3
What have Fibonacci numbers got to do with Pythagorean triples?
2 out of 3
Generalise this inequality involving integrals.
2 out of 3
Can you make a square from these triangles?
2 out of 3
Which of these triangular jigsaws are impossible to finish?
2 out of 3
Sort these mathematical propositions into a series of 8 correct statements.
2 out of 3
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?
