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How many hexagons are required for the perimeter of the whole shape to have length 1002cm?

This group tasks allows you to search for arithmetic progressions in the prime numbers. How many of the challenges will you discover for yourself?

What can you discover about adding and subtracting sets of consecutive numbers?

Investigate the area of 'slices' cut off this cube of cheese. What would happen if you had different-sized block of cheese to start with?

Nine squares are fitted together to form a rectangle. Can you find its dimensions?

If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?

In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

Sort the houses in my street into different groups. Can you do it in any other ways?

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.