We've received some suggested settings
for the sight and several of you told us that you did it by trial
and error. Callum from Sompting Abbotts described his
I find that the best way to adjust the sight is to aim at the arrow
that was fired last.
Several of you found settings that
worked extremely well, but Adam from Dartford Grammar School came
up with the most high-scoring solution:
For the key stage 3 archery maths challange I think that it's
solution is: $x = 24$ $y = 34$.
I did this by a course of trial and error.
Well done Adam, that's very close to the
solution we found of x = 25 and y = 33. Unfortunately nobody told
us how they knew that their solution was the best one. The trick
is, if you have hundreds of attempts with the correct settings you
should gain an average score close to 9. So one way of improving
your trial and error technique would be to fire about a hundred
arrows, record the average score, and then change the setting and
repeat the process. If the average goes up then you know you're
heading in the right direction, but if it goes down then you know
it's not right.
Why not try out the settings given here and
see how they compare to the settings you found? Thanks for all your
solutions, and we hope you enjoyed doing some maths Robin Hood