Fractions

What fractions of the largest circle are the two shaded regions?

In a race the odds are: 2 to 1 against the rhinoceros winning and 3 to 2 against the hippopotamus winning. What are the odds against the elephant winning if the race is fair?

There are some water lilies in a lake. The area that they cover doubles in size every day. After 17 days the whole lake is covered. How long did it take them to cover half the lake?

Mike and Monisha meet at the race track, which is 400m round. Just to make a point, Mike runs anticlockwise whilst Monisha runs clockwise. Where will they meet on their way around and will they ever meet at the start again? If so, after how many circuits?

Which of these fractions is the largest?

Which of the areas shown in the hexagons are equal to each other?

In a certain community two thirds of the adult men are married to three quarters of the adult women. How many adults would there be in the smallest community of this type?

The Pythagoreans noticed that nice simple ratios of string length made nice sounds together.

The information display on a train shows letters by illuminating dots in a rectangular array. What fraction of the dots in this array is illuminated?