Triangles Within Pentagons
Show that all pentagonal numbers are one third of a triangular number.
Show that all pentagonal numbers are one third of a triangular number.
What 3D shapes occur in nature. How efficiently can you pack these shapes together?
Weekly Problem 52 - 2014
Four arcs are drawn in a circle to create a shaded area. What fraction of the area of the circle is shaded?
Some treasure has been hidden in a three-dimensional grid! Can you work out a strategy to find it as efficiently as possible?
If I tell you two sides of a right-angled triangle, you can easily work out the third. But what if the angle between the two sides is not a right angle?