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### Advanced mathematics

# Getting to Know Your Quadrilaterals

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Complete the Square

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Poly Plug Rectangles

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Seeing Squares

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Square Corners

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Seeing Parallelograms

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Stringy Quads

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Seeing Rhombuses

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Eight Hidden Squares

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The problems and games in this feature will challenge you to visualise quadrilaterials and may help you gain a better understanding of their properties.

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

Age 5 to 7

Challenge Level

Complete the squares - but be warned some are trickier than they look!

Age 5 to 11

Challenge Level

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

Age 5 to 11

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.

Age 7 to 11

Challenge Level

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

Age 7 to 11

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.

Age 7 to 11

Challenge Level

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

Age 7 to 11

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.

Age 7 to 14

Challenge Level

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?