How many right-angled triangles are there with sides that are all
integers less than 100 units?
Which is a better fit, a square peg in a round hole or a round peg
in a square hole?
A rectangular field has two posts with a ring on top of each post.
There are two quarrelsome goats and plenty of ropes which you can
tie to their collars. How can you secure them so they can't fight
each other but can reach every corner of the field?
On a given tennis court, the distance between the baseline and
the net is $10$ metres and the distance between the service line
and the net is $5$ metres. The net is $0.9$ metres high. A player
serves the ball directly above the baseline (assume the ball
travels in a straight line).