Live Problems - Stage 3, 4 & 5

Secondary Toughnutslive

Age 11 to 18 Challenge Level:

These secondary problems have not yet been solved. Can you be the first?

Quad in Quadlive

Age 14 to 16 Challenge Level:

Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?

Semi-regular Tessellationslive

Age 11 to 16 Challenge Level:

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

Shifting Times Tableslive

Age 11 to 14 Challenge Level:

Can you find a way to identify times tables after they have been shifted up or down?

Polygon Ringslive

Age 11 to 14 Challenge Level:

Join pentagons together edge to edge. Will they form a ring?

Surprising Equalitieslive

Age 14 to 18 Challenge Level:

Take any triangle, and construct squares on each sides. What do you notice about the areas of the new triangles formed?

Pentagon Constructionlive

Age 16 to 18 Challenge Level:

Follow the instructions to create a regular pentagon. Can you prove it is indeed regular?