Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
I am thinking of three sets of numbers less than 101. Can you find all the numbers in each set from these clues?
Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.
Help share out the biscuits the children have made.
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Here is a chance to create some Celtic knots and explore the mathematics behind them.
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
