Most students are confident about being able to recognise the most common quadrilaterals, in particular squares, parallelograms and rhombuses. The problems and games in this feature will challenge your students to visualise quadrilaterials and may help them gain a better understanding of their properties.

The last day for sending in solutions to the live problems is Monday 15 May.

You can watch a recording of the webinar in which we discussed the mathematical thinking that can be prompted by these activities.

Challenge Level

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 square.

Challenge Level

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.

Challenge Level

It's easy to work out the areas of most squares that we meet, but what if they were tilted?

Challenge Level

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.

Challenge Level

A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?

Challenge Level

Can you recreate squares and rhombuses if you are only given a side or a diagonal?