Quadrilaterals

There are 65 NRICH Mathematical resources connected to Quadrilaterals
Bracelets
problem
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Bracelets

Age
7 to 11
Challenge level
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Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

Shapely pairs
problem
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Shapely pairs

Age
11 to 14
Challenge level
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A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

Seeing Squares
problem
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Seeing squares

Age
5 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 square.

Property chart
problem
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Property chart

Age
11 to 14
Challenge level
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A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

Quadrilaterals
problem
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Quadrilaterals

Age
7 to 11
Challenge level
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How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

Areas of parallelograms
problem
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Areas of parallelograms

Age
14 to 16
Challenge level
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Can you find the area of a parallelogram defined by two vectors?
Numerically Equal
problem
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Numerically equal

Age
7 to 11
Challenge level
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Can you draw a square in which the perimeter is numerically equal to the area?

Trapezium Four
problem
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Trapezium four

Age
14 to 16
Challenge level
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The diagonals of a trapezium divide it into four parts. Can you create a trapezium where three of those parts are equal in area?
Rectangle Tangle
problem
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Rectangle tangle

Age
7 to 11
Challenge level
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The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?

Torn Shapes
problem
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Torn shapes

Age
7 to 11
Challenge level
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These rectangles have been torn. How many squares did each one have inside it before it was ripped?