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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.