Factors and multiples

problem
Guess the dominoes

Age

7 to 11

Challenge level

This task depends on learners sharing reasoning, listening to opinions, reflecting and pulling ideas together.
problem
Counting cogs

Age

7 to 14

Challenge level

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?
problem
I like ...

Age

5 to 7

Challenge level

Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
problem
Which numbers? (2)

Age

7 to 11

Challenge level

I am thinking of three sets of numbers less than 101. Can you find all the numbers in each set from these clues?
problem
Which numbers? (1)

Age

7 to 11

Challenge level

I am thinking of three sets of numbers less than 101. They are the red set, the green set and the blue set. Can you find all the numbers in the sets from these clues?
problem
Table patterns go wild!

Age

7 to 11

Challenge level

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.
problem
Lots of biscuits!

Age

5 to 7

Challenge level

Help share out the biscuits the children have made.
problem
Times tables shifts

Age

7 to 11

Challenge level

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
problem
Drawing Celtic knots

Age

11 to 14

Challenge level

Here is a chance to create some Celtic knots and explore the mathematics behind them.
problem
Three dice

Age

7 to 11

Challenge level

Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?