List

Being Resourceful - Geometry

Quadrilaterals game
game
Favourite

Quadrilaterals game

A game for 2 or more people, based on the traditional card game Rummy.
Transformation Game
game
Favourite

Transformation Game

Why not challenge a friend to play this transformation game?
Marbles in a box
problem
Favourite

Marbles in a box

Age
11 to 16
Challenge level
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How many winning lines can you make in a three-dimensional version of noughts and crosses?
Triangles to Tetrahedra
problem
Favourite

Triangles to Tetrahedra

Age
11 to 14
Challenge level
filled star filled star filled star
Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?
Shady Symmetry
problem
Favourite

Shady Symmetry

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

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?
The Spider and the Fly
problem
Favourite

The Spider and the Fly

Age
14 to 16
Challenge level
filled star filled star empty star
A spider is sitting in the middle of one of the smallest walls in a room and a fly is resting beside the window. What is the shortest distance the spider would have to crawl to catch the fly?
Cuboids
problem
Favourite

Cuboids

Age
11 to 14
Challenge level
filled star filled star filled star
Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
On the Edge
problem
Favourite

On the Edge

Age
11 to 14
Challenge level
filled star filled star empty star
If you move the tiles around, can you make squares with different coloured edges?
Isosceles Triangles
problem
Favourite

Isosceles Triangles

Age
11 to 14
Challenge level
filled star empty star empty star
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?
Constructing Triangles
problem
Favourite

Constructing Triangles

Age
11 to 14
Challenge level
filled star empty star empty star
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
Shapely pairs
problem
Favourite

Shapely pairs

Age
11 to 14
Challenge level
filled star filled star empty star

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
Favourite

Square It

Age
11 to 16
Challenge level
filled star empty star empty star

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.

Semi-regular Tessellations
problem
Favourite

Semi-regular Tessellations

Age
11 to 16
Challenge level
filled star empty star empty star

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

Property chart
problem
Favourite

Property chart

Age
11 to 14
Challenge level
filled star filled star empty star

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?

Which solids can we make?
problem
Favourite

Which solids can we make?

Age
11 to 14
Challenge level
filled star filled star filled star

Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?