Blue and White
Arclets
Marbles in a box
Hexy-Metry
Three by One
Triangles and petals
On the Edge
Sending a Parcel
Where to Land
Right angles
Trapezium Four
Can they be equal?
Curvy areas
Vector journeys
Perimeter Possibilities
Square coordinates
A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?
Circles in quadrilaterals
Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.
Triangle midpoints
You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?
Opposite vertices
Can you recreate squares and rhombuses if you are only given a side or a diagonal?
Semi-regular Tessellations
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Cuboid Challenge
What's the largest volume of box you can make from a square of paper?
Tilted Squares
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
Cola Can
An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?
Which solids can we make?
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?