It's Sahila's birthday and she is having a party. How could you answer these questions using a picture, with things, with numbers or symbols?

Can you find a way of counting the spheres in these arrangements?

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?

This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.

Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

Looking at the 2012 Olympic Medal table, can you see how the data is organised? Could the results be presented differently to give another nation the top place?

Make one big triangle so the numbers that touch on the small triangles add to 10.

What on earth are polar coordinates, and why would you want to use them?

Can you make sense of the charts and diagrams that are created and used by sports competitors, trainers and statisticians?

Can you make sense of the charts and diagrams that are created and used by sports competitors, trainers and statisticians?

Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

Can you find a way of representing these arrangements of balls?

Use functions to create minimalist versions of works of art.

Make a functional window display which will both satisfy the manager and make sense to the shoppers

In this article for teachers, Elizabeth Carruthers and Maulfry Worthington explore the differences between 'recording mathematics' and 'representing mathematical thinking'.

Can you find ways of joining cubes together so that 28 faces are visible?

This is the second article in a two part series on the history of Algebra from about 2000 BCE to about 1000 CE.

These pictures and answers leave the viewer with the problem "What is the Question". Can you give the question and how the answer follows?

Build gnomons that are related to the Fibonacci sequence and try to explain why this is possible.

Follow the journey taken by this bird and let us know for how long and in what direction it must fly to return to its starting point.

Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?

These gnomons appear to have more than a passing connection with the Fibonacci sequence. This problem ask you to investigate some of these connections.

How would you find out how many football cards Catrina has collected?