A paradox is a statement that seems to be both untrue and true at the same time. This article looks at a few examples and challenges you to investigate them for yourself.
How far have these students walked by the time the teacher's car
reaches them after their bus broke down?
Alice's mum needs to go to each child's house just once and then
back home again. How many different routes are there? Use the
information to find out how long each road is on the route she
During the third hour after midnight the hands on a clock point in
the same direction (so one hand is over the top of the other). At
what time, to the nearest second, does this happen?
Can you rank these quantities in order? You may need to find out
extra information or perform some experiments to justify your
In this version of the story of the hare and the tortoise, the race
is 10 kilometres long. Can you work out how long the hare sleeps
for using the information given?
Nirmala and Riki live 9 kilometres away from the nearest market.
They both want to arrive at the market at exactly noon. What time
should each of them start riding their bikes?