If you put three beads onto a tens/ones abacus you could make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?

My cube has inky marks on each face. Can you find the route it has taken? What does each face look like?

What two-digit numbers can you make with these two dice? What can't you make?

Can you work out how to balance this equaliser? You can put more than one weight on a hook.

This challenge is about finding the difference between numbers which have the same tens digit.

Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

Try this matching game which will help you recognise different ways of saying the same time interval.

If you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced?

Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?

Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?

My coat has three buttons. How many ways can you find to do up all the buttons?

Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?

What could the half time scores have been in these Olympic hockey matches?

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?

Can you use the numbers on the dice to reach your end of the number line before your partner beats you?

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.

How many possible necklaces can you find? And how do you know you've found them all?

There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?

Can you fill in the empty boxes in the grid with the right shape and colour?

How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?

You have a set of the digits from 0 – 9. Can you arrange these in the 5 boxes to make two-digit numbers as close to the targets as possible?

Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

Investigate the number of faces you can see when you arrange three cubes in different ways.

Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?

"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?

On Friday the magic plant was only 2 centimetres tall. Every day it doubled its height. How tall was it on Monday?

An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting.

Can you describe a piece of paper clearly enough for your partner to know which piece it is?

How could you estimate the number of pencils/pens in these pictures?

Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?

An environment which simulates working with Cuisenaire rods.

Use the information about Sally and her brother to find out how many children there are in the Brown family.

Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.

Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

An activity centred around observations of dots and how we visualise number arrangement patterns.