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Rationals Between...

What fractions can you find between the square roots of 65 and 67?


At the corner of the cube circular arcs are drawn and the area enclosed shaded. What fraction of the surface area of the cube is shaded? Try working out the answer without recourse to pencil and paper.

Tiny Nines

What do you notice about these families of recurring decimals?

The Genes of Gilgamesh

Age 14 to 16 Challenge Level:


If three of my grandparents were French and one Russian then I would be said to be one quarter Russian and three quarters French (RFFF). If half of my great-grandparents were English and half other nationalities then I would be said to be half English (EX)

The king of Sumeria around 2600 BC was a great warrior called Gilgamesh . The tale of Gilgamesh the hero stated that Gilgamesh was "Two Thirds God and One Third Man".

Assuming normal reproductive behaviour between a set of ancestors of type pure G and a set of anscestors of type pure M, could you create an offspring of type two-thirds G and one-third M?

How many generations would it take to create a genetic stock to within 1% of (GGM)?