Being collaborative

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?

What do you notice about the sum of two identical triangular numbers?

Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?

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 $9cm^2$ 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?

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.

Explore the effect of reflecting in two parallel mirror lines.

A jigsaw where pieces only go together if the fractions are equivalent.