Secondary Live Problems

Each time you visit the NRICH site there will be some activities which are 'live'. That means we are inviting you to send us your solutions and we will publish a selection of them, along with your name and school. If you'd like to read more about what we're looking for, read this short article.

This set of tasks will stop being live on Friday 7 December. 

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 of its 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?

Secondary Toughnutslive

Age 11 to 18 Challenge Level:

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