Can you fill in the empty boxes in the grid with the right shape and colour?

I am less than 25. My ones digit is twice my tens digit. My digits add up to an even number.

Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?

On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

When intergalactic Wag Worms are born they look just like a cube. Each year they grow another cube in any direction. Find all the shapes that five-year-old Wag Worms can be.

During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?

Nicholas, Emily, Sam and children from Ysgol Aberdyfi all worked very systematically to solve this problem.