### Rationals Between...

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

### Canny Fraction

Weekly Problem 4 - 2012
What fraction of the volume of this can is filled with lemonade?

### Circuit Training

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?

# Counting Fish

##### Stage: 4 Challenge Level:

I need a figure for the fish population in a lake.

I catch 40 fish and mark a scale on each fish so that they can be identified if caught again.

The fish are then released and one week later I once more catch 40 fish and look to see which of these I caught before.

How does this help me come up with a figure for the fish population in a lake?

What assumptions does this method of estimating the fish population rely on?
How do you think you could improve the accuracy of your estimate?