Challenge Level

Can you make five differently sized squares from the interactive tangram pieces?

Challenge Level

What is the largest number of circles we can fit into the frame without them overlapping? How do you know? What will happen if you try the other shapes?

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

Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?

Challenge Level

What happens to the area of a square if you double the length of the sides? Try the same thing with rectangles, diamonds and other shapes. How do the four smaller ones fit into the larger one?

Challenge Level

Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?

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

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

Challenge Level

What do these two triangles have in common? How are they related?

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 work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?

Challenge Level

Make a cube with three strips of paper. Colour three faces or use the numbers 1 to 6 to make a die.

Challenge Level

How can you make an angle of 60 degrees by folding a sheet of paper twice?

Challenge Level

The challenge for you is to make a string of six (or more!) graded cubes.

Challenge Level

This activity investigates how you might make squares and pentominoes from Polydron.

Challenge Level

What is the smallest cuboid that you can put in this box so that you cannot fit another that's the same into it?

Challenge Level

Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?

Challenge Level

Cut a square of paper into three pieces as shown. Now,can you use the 3 pieces to make a large triangle, a parallelogram and the square again?

Challenge Level

A group of children are discussing the height of a tall tree. How would you go about finding out its height?

Challenge Level

Have a look at what happens when you pull a reef knot and a granny knot tight. Which do you think is best for securing things together? Why?

Challenge Level

Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.

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.

Challenge Level

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

Challenge Level

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

Challenge Level

These are pictures of the sea defences at New Brighton. Can you work out what a basic shape might be in both images of the sea wall and work out a way they might fit together?

Challenge Level

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

Challenge Level

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

Challenge Level

Exploring and predicting folding, cutting and punching holes and making spirals.

Challenge Level

Make a cube out of straws and have a go at this practical challenge.

Challenge Level

Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.

Challenge Level

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

Challenge Level

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

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

Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?

Challenge Level

This problem invites you to build 3D shapes using two different triangles. Can you make the shapes from the pictures?

Challenge Level

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

Challenge Level

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

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

Can you make the birds from the egg tangram?

Challenge Level

What shape is made when you fold using this crease pattern? Can you make a ring design?

Challenge Level

Can you deduce the pattern that has been used to lay out these bottle tops?

Challenge Level

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

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?

Challenge Level

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

Challenge Level

How many models can you find which obey these rules?

Challenge Level

This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.