Quadrilaterals

There are 65 NRICH Mathematical resources connected to Quadrilaterals
circles in quadrilaterals
problem
Favourite

Circles in quadrilaterals

Age
14 to 16
Challenge level
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Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.

Square split into a triangle and trapezium
problem
Favourite

Tangram tangle

Age
5 to 7
Challenge level
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If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?

An Equilateral Triangular Problem
problem
Favourite

An equilateral triangular problem

Age
11 to 14
Challenge level
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Take an equilateral triangle and cut it into smaller pieces. What can you do with them?

Seeing Rhombuses
problem

Seeing rhombuses

Age
7 to 11
Challenge level
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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.

Triangle transformation
problem

Triangle transformation

Age
7 to 14
Challenge level
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Start with a triangle. Can you cut it up to make a rectangle?
What Am I?
problem

What am i?

Age
7 to 11
Challenge level
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Can you draw the shape that is being described by these cards?
Square Pair
problem

Square pair

Age
14 to 18
Challenge level
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Explore the shape of a square after it is transformed by the action of a matrix.
Dividing the Field
problem

Dividing the field

Age
14 to 16
Challenge level
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A farmer has a field which is the shape of a trapezium as illustrated below. To increase his profits he wishes to grow two different crops. To do this he would like to divide the field into two trapeziums each of equal area. How could he do this?
Fred the Class Robot
problem

Fred the class robot

Age
7 to 11
Challenge level
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Billy's class had a robot called Fred who could draw with chalk held underneath him. What shapes did the pupils make Fred draw?