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problem

Presents

7 to 11

We need to wrap up this cube-shaped present, remembering that we can have no overlaps. What shapes can you find to use?

problem

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Nine-pin triangles

7 to 11

How many different triangles can you make on a circular pegboard that has nine pegs?

problem

More and more buckets

7 to 11

In this challenge, buckets come in five different sizes. If you choose some buckets, can you investigate the different ways in which they can be filled?

problem

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Area and perimeter

7 to 11

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

problem

The Koch snowflake

16 to 18

Explore the strange geometrical properties of the Koch Snowflake.

article

The cyclic quadrilateral

11 to 16

This gives a short summary of the properties and theorems of cyclic quadrilaterals and links to some practical examples to be found elsewhere on the site.

page

Complex instruction - raising achievement through group-worthy tasks

Many NRICH tasks have been designed with group work in mind. Read about Jo Boaler's research on the benefits of collaborative work and watch a clip of a teacher working in this way.