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Where Can We Visit?

Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: x2 and -5. What do you think?

Arithmagons

Can you find the values at the vertices when you know the values on the edges?

Babylon Numbers

Can you make a hypothesis to explain these ancient numbers?

Four Coloured Lights

Age 11 to 14 Challenge Level:

There is no number less than 1000 which will switch on all four colours.

Use four coloured pieces of paper or post-it notes to record the information gathered about each light.