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Draw some isosceles triangles with an area of $9cm^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

Have a go at creating these images based on circles. What do you notice about the areas of the different sections?

Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?

Here are two games you can play. Which offers the better chance of winning?

Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?

Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?

Imagine you had to plan the tour for the Olympic Torch. Is there an efficient way of choosing the shortest possible route?

How would you count the number of fingers in these pictures?