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?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Here is a version of the game 'Happy Families' for you to make and play.
Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?
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?
A game to make and play based on the number line.
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.
How many models can you find which obey these rules?
Use the tangram pieces to make our pictures, or to design some of your own!
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?
Surprise your friends with this magic square trick.
The class were playing a maths game using interlocking cubes. Can you help them record what happened?
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?
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?
Here is a chance to create some Celtic knots and explore the mathematics behind them.
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?
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.
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?
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?
Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?
Can you make the birds from the egg tangram?
Take a counter and surround it by a ring of other counters that MUST touch two others. How many are needed?
Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?
An activity making various patterns with 2 x 1 rectangular tiles.
Ideas for practical ways of representing data such as Venn and Carroll diagrams.
The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.
How is it possible to predict the card?
Can you each work out the number on your card? What do you notice? How could you sort the cards?
Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?
Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
How can you put five cereal packets together to make different shapes if you must put them face-to-face?
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?
How many triangles can you make on the 3 by 3 pegboard?
These squares have been made from Cuisenaire rods. Can you describe the pattern? What would the next square look like?
Delight your friends with this cunning trick! Can you explain how it works?
Factors and Multiples game for an adult and child. How can you make sure you win this game?
A game in which players take it in turns to choose a number. Can you block your opponent?
Here are some ideas to try in the classroom for using counters to investigate number patterns.
These practical challenges are all about making a 'tray' and covering it with paper.
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?
Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
How do you know if your set of dominoes is complete?
This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.
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.
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?
How can you make a curve from straight strips of paper?
In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.
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.
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.