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How can you arrange these 10 matches in four piles so that when you move one match from three of the piles into the fourth, you end up with the same arrangement?

Move four sticks so there are exactly four triangles.

This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.

Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?

Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?

Which of these dice are right-handed and which are left-handed?

Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?

How could you estimate the number of pencils/pens in these pictures?

Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.

Can you match these equations to these graphs?