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Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?


Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

Sweets in a Box

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

Multiply Multiples 3

Age 7 to 11
Challenge Level
Remember the relationship between 'one times' and 'ten times' and 'one hundred times' a number. For example, 5 x 1 = 5 and 5 x 10 = 50 and 50 x 10 = 500.

You could begin by making both sides of the equation equal to 100, then 200, then 300 and so on.
Is there more than one way of completing the equation for each total? Can any of them be made in lots of different ways?