Being collaborative

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?

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.

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

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

This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

Each clue in this Sudoku is the product of the two numbers in adjacent cells.

Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

Can all unit fractions be written as the sum of two unit fractions?