Being collaborative

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?

The clues for this Sudoku are the product of the numbers in adjacent squares.

Can you make sense of these three proofs of Pythagoras' Theorem?

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

Which of these games would you play to give yourself the best possible chance of winning a prize?

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

Why does this fold create an angle of sixty degrees?

Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.