Quadrilaterals game
Three cubes
Fence it
Shapely pairs
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
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
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.
Nicely similar
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
Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
Property chart
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
Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.
Kite in a square
Can you make sense of the three methods to work out what fraction of the total area is shaded?
Constructing triangles
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
Isosceles triangles
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?
Fill me up too
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?
Efficient cutting
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.
Track design
Where should runners start the 200m race so that they have all run the same distance by the finish?
Shady symmetry
How many different symmetrical shapes can you make by shading triangles or squares?
Transformation game
Why not challenge a friend to play this transformation game?
Growing rectangles
What happens to the area and volume of 2D and 3D shapes when you enlarge them?
Vector walk
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Hexy-metry
A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?
Areas of parallelograms
Can you find the area of a parallelogram defined by two vectors?