problem
Nine colours
Age
11 to 16
Challenge level
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?
problem
Triangles to tetrahedra
Age
11 to 14
Challenge level
Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?
problem
Reflecting squarely
Age
11 to 14
Challenge level
In how many ways can you fit all three pieces together to make shapes with line symmetry?
problem
Cuboids
Age
11 to 14
Challenge level
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?
problem
Same length
Age
11 to 16
Challenge level
Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
problem
Isosceles triangles
Age
11 to 14
Challenge level
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?
problem
Kite in a square
Age
14 to 18
Challenge level
Can you make sense of the three methods to work out what fraction of the total area is shaded?