Challenge Level

Time for a little mathemagic! Choose any five cards from a pack and show four of them to your partner. How can they work out the fifth?

Challenge Level

Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

Challenge Level

Here is a version of the game 'Happy Families' for you to make and play.

Challenge Level

Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

Challenge Level

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

Challenge Level

A game to make and play based on the number line.

Challenge Level

Kate has eight multilink cubes. She has two red ones, two yellow, two green and two blue. She wants to fit them together to make a cube so that each colour shows on each face just once.

Challenge Level

How many models can you find which obey these rules?

Challenge Level

Use the tangram pieces to make our pictures, or to design some of your own!

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?

Challenge Level

Surprise your friends with this magic square trick.

Challenge Level

The class were playing a maths game using interlocking cubes. Can you help them record what happened?

Challenge Level

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

Challenge Level

Take 5 cubes of one colour and 2 of another colour. How many different ways can you join them if the 5 must touch the table and the 2 must not touch the table?

Challenge Level

Here is a chance to create some Celtic knots and explore the mathematics behind them.

Challenge Level

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

Challenge Level

Arrange 9 red cubes, 9 blue cubes and 9 yellow cubes into a large 3 by 3 cube. No row or column of cubes must contain two cubes of the same colour.

Challenge Level

Using different numbers of sticks, how many different triangles are you able to make? Can you make any rules about the numbers of sticks that make the most triangles?

Challenge Level

Take a rectangle of paper and fold it in half, and half again, to make four smaller rectangles. How many different ways can you fold it up?

Challenge Level

Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

Challenge Level

Can you make the birds from the egg tangram?

Challenge Level

Take a counter and surround it by a ring of other counters that MUST touch two others. How many are needed?

Challenge Level

Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?

Challenge Level

An activity making various patterns with 2 x 1 rectangular tiles.

Challenge Level

Ideas for practical ways of representing data such as Venn and Carroll diagrams.

Challenge Level

The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.

Challenge Level

Can you each work out the number on your card? What do you notice? How could you sort the cards?

Challenge Level

Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?

Challenge Level

Make your own double-sided magic square. But can you complete both sides once you've made the pieces?

Challenge Level

How can you put five cereal packets together to make different shapes if you must put them face-to-face?

Challenge Level

Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?

Challenge Level

These squares have been made from Cuisenaire rods. Can you describe the pattern? What would the next square look like?

Challenge Level

Delight your friends with this cunning trick! Can you explain how it works?

Challenge Level

Factors and Multiples game for an adult and child. How can you make sure you win this game?

Challenge Level

A game in which players take it in turns to choose a number. Can you block your opponent?

Challenge Level

Here are some ideas to try in the classroom for using counters to investigate number patterns.

Challenge Level

These practical challenges are all about making a 'tray' and covering it with paper.

Challenge Level

In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?

Challenge Level

Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?

Challenge Level

This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.

Challenge Level

The triangle ABC is equilateral. The arc AB has centre C, the arc BC has centre A and the arc CA has centre B. Explain how and why this shape can roll along between two parallel tracks.

Challenge Level

I start with a red, a green and a blue marble. I can trade any of my marbles for two others, one of each colour. Can I end up with five more blue marbles than red after a number of such trades?

Challenge Level

How can you make a curve from straight strips of paper?

Challenge Level

In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.

Challenge Level

You could use just coloured pencils and paper to create this design, but it will be more eye-catching if you can get hold of hammer, nails and string.

Challenge Level

We went to the cinema and decided to buy some bags of popcorn so we asked about the prices. Investigate how much popcorn each bag holds so find out which we might have bought.

Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.