![Nine Colours](/sites/default/files/styles/medium/public/thumbnails/content-01-04-six1-icon.png?itok=93zBgzQG)
problem
Nine Colours
Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?
![Triangles to Tetrahedra](/sites/default/files/styles/medium/public/thumbnails/content-03-02-penta4-icon.jpg?itok=mI3T5eVI)
problem
Triangles to Tetrahedra
Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?
![Reflecting Squarely](/sites/default/files/styles/medium/public/thumbnails/content-03-07-six1-icon.gif?itok=7H9OwLiZ)
problem
Reflecting Squarely
In how many ways can you fit all three pieces together to make
shapes with line symmetry?
![Cuboids](/sites/default/files/styles/medium/public/thumbnails/content-id-2383-icon.png?itok=7BaJVRbU)
problem
Cuboids
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?
![Same length](/sites/default/files/styles/medium/public/thumbnails/content-id-11134-icon.png?itok=0lXl0Dnd)
problem
Same length
Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
![Isosceles Triangles](/sites/default/files/styles/medium/public/thumbnails/content-id-2666-icon.png?itok=wmpakUQq)
problem
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?
![Kite in a Square](/sites/default/files/styles/medium/public/thumbnails/content-id-8301-icon.png?itok=k5PyV7gm)
problem
Kite in a Square
Can you make sense of the three methods to work out what fraction of the total area is shaded?