Being curious

problem
Bryony's triangle

Age

7 to 11

Challenge level

Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?
problem
Fit for photocopying

Age

14 to 16

Challenge level

Explore the relationships between different paper sizes.
problem
Opposite vertices

Age

11 to 14

Challenge level

Can you recreate squares and rhombuses if you are only given a side or a diagonal?
problem
Dotty six

Age

5 to 11

Challenge level

Dotty Six is a simple dice game that you can adapt in many ways.
problem
Which solids can we make?

Age

11 to 14

Challenge level

Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?
problem
Count the digits

Age

5 to 11

Challenge level

In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?
problem
Shaping it

Age

5 to 11

Challenge level

These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.
problem
Mathsland national lottery

Age

14 to 16

Challenge level

Can you work out the probability of winning the Mathsland National Lottery?
problem
Same number!

Age

14 to 16

Challenge level

If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?
problem
Last one standing

Age

14 to 16

Challenge level

Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?