A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?
How many different symmetrical shapes can you make by shading triangles or squares?
My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?
Are these games fair? How can you tell?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.
Find the frequency distribution for ordinary English, and use it to help you crack the code.
Explore the effect of reflecting in two parallel mirror lines.
