What fractions can you find between the square roots of 65 and 67?
Weekly Problem 4 - 2012
What fraction of the volume of this can is filled with lemonade?
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?
Simulation with counters or coloured cubes is the most useful
aid to visualisation. For example put 20 counters into a bag and
explain that the bag is the pond and the whole fish population in
this instance is 20. Remove 5 counters and replace them with
counters of a different colour, explaining that these five are the
first sample, and the different colour allows the counters 'caught'
for a second time to be identified. Now make the second sample of
A population of 100, with a sample size of 20, might give
estimates closer to the actual population, and this may perhaps
help students to see how to use the fraction re-caught.