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Pebbles

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?

Bracelets

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?

Tug Harder!

Age 7 to 11 Challenge Level:

How many do you need to get to your end of the number line?
What do you get if you add the two dice numbers?
What do you get if you take away one of the dice numbers from the other one?
What do you get if you multiply the two dice numbers?
What do you get if you divide one of the dice numbers by the other one?
Do any of these answers give you the right number? If not, which is closest?