This is part of our Secondary Curriculum collection of favourite rich tasks arranged by topic.
Scroll down to see the complete collection, or explore our subcollections on Perimeter and Area in two dimensions, and Surface Area and Volume in three dimensions.
problem
Favourite
Marbles in a box
Age
11 to 16
Challenge level
How many winning lines can you make in a three-dimensional version of noughts and crosses?
problem
Favourite
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
Favourite
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
Favourite
Tet-trouble
Age
14 to 16
Challenge level
Is it possible to have a tetrahedron whose six edges have lengths 10, 20, 30, 40, 50 and 60 units?
Image
You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.