List

Being collaborative - geometry

Quadrilaterals game
game
Favourite

Quadrilaterals game

Age
11 to 14
Challenge level
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A game for 2 or more people, based on the traditional card game Rummy.
Transformation Game
game
Favourite

Transformation game

Age
11 to 14
Challenge level
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Why not challenge a friend to play this transformation game?
Three cubes
problem

Three cubes

Age
14 to 16
Challenge level
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Can you work out the dimensions of the three cubes?
Shady Symmetry
problem

Shady symmetry

Age
11 to 14
Challenge level
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How many different symmetrical shapes can you make by shading triangles or squares?
Hexy-Metry
problem

Hexy-metry

Age
14 to 16
Challenge level
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A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?
Fence it
problem

Fence it

Age
11 to 14
Challenge level
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If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
Efficient cutting
problem

Efficient cutting

Age
11 to 14
Challenge level
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Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.
Areas of parallelograms
problem

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?
Vector walk
problem

Vector walk

Age
14 to 18
Challenge level
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Starting with two basic vector steps, which destinations can you reach on a vector walk?
Growing Rectangles
problem

Growing rectangles

Age
11 to 14
Challenge level
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What happens to the area and volume of 2D and 3D shapes when you enlarge them?
Fill Me Up Too
problem

Fill me up too

Age
14 to 16
Challenge level
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In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?
Shapely pairs
problem

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...

Square It
problem

Square it

Age
11 to 16
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.

Rhombus It
problem

Rhombus it

Age
11 to 16
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.

Track design
problem

Track design

Age
14 to 16
Challenge level
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Where should runners start the 200m race so that they have all run the same distance by the finish?

Nicely Similar
problem

Nicely similar

Age
14 to 16
Challenge level
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If the hypotenuse (base) length is 100cm and if an extra line splits the base into 36cm and 64cm parts, what were the side lengths for the original right-angled triangle?

Same length
problem

Same length

Age
11 to 16
Challenge level
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Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?

Property chart
problem

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?

circles in quadrilaterals
problem

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.

Kite in a Square
problem

Kite in a square

Age
14 to 18
Challenge level
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Can you make sense of the three methods to work out what fraction of the total area is shaded?

Constructing Triangles
problem

Constructing triangles

Age
11 to 14
Challenge level
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Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

Isosceles Triangles
problem

Isosceles triangles

Age
11 to 14
Challenge level
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Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?