Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?
Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
Take three consecutive numbers and add them together. What do you notice?
This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?
A game in which players take it in turns to choose a number. Can you block your opponent?
Choose some fractions and add them together. Can you get close to 1?
Draw some angles inside a rectangle. What do you notice? Can you prove it?
In the 2020 Olympic Games, sport climbing was introduced for the first time, and something very interesting happened with the scoring system. Can you find out what was interesting about it?
Investigate how you can work out what day of the week your birthday will be on next year, and the year after...
