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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?

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:
A group of children from Brampton Primary School in Suffolk sent the following suggestions for how to change the game:

Using all four operations but extending the number line to +40 and -40 and using a dice from 1-10
Playing the game with one dice but always multiplying the number on the dice by 2
Playing the game with  two 1-6 dice and all four operations but having to decide on the operation you are going to use before you roll.

Thank you!  I wonder whether you tried out your suggestions to check that they worked well?