Diophantine equations

The well known Fibonacci sequence is 1 ,1, 2, 3, 5, 8, 13, 21.... How many Fibonacci sequences can you find containing the number 196 as one of the terms?

All CD Heaven stores were given the same number of a popular CD to sell for £24. In their two week sale each store reduces the price of the CD by 25% ... How many CDs did the store sell at each price?

If: A + C = A; F x D = F; B - G = G; A + H = E; B / H = G; E - G = F and A-H represent the numbers from 0 to 7 Find the values of A, B, C, D, E, F and H.

The sum of the cubes of two numbers is 7163. What are these numbers?

Helen buys some cakes and some buns for her party. Can you work out how many of each she buys?

Find the positive integer solutions of the equation (1+1/a)(1+1/b)(1+1/c) = 2

Why are there only a few lattice points on a hyperbola and infinitely many on a parabola?

Find all 3 digit numbers such that by adding the first digit, the square of the second and the cube of the third you get the original number, for example 1 + 3^2 + 5^3 = 135.

I am exactly n times my daughter's age. In m years I shall be ... How old am I?

Try out this geometry problem involving trigonometry and number theory