Hello Year 11 and welcome to your pages.
There will be more to come, but for now, think about this.....
Wheat on a Chess Board
There is a well-known story of the man who invented chess. The local ruler was so pleased with the invention that he offered the inventor a great reward in gold. The inventor suggested an alternative reward: he would get one grain of wheat on the first square of the chess board, two grains on the second square, four on the third, eight on the fourth, etc., doubling the number of grains each time. The ruler saw that this must be a much better deal for him, and accepted. The board has 64 squares. How many total grains of wheat did the ruler have to pay the inventor?