Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.

Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.

Can you arrange fifteen dominoes so that all the touching domino pieces add to 6 and the ends join up? Can you make all the joins add to 7?

Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?

This problem is based on a code using two different prime numbers less than 10. You'll need to multiply them together and shift the alphabet forwards by the result. Can you decipher the code?

In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?

In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?

Find your way through the grid starting at 2 and following these operations. What number do you end on?

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?

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

Use these head, body and leg pieces to make Robot Monsters which are different heights.

A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.

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

Leah and Tom each have a number line. Can you work out where their counters will land? What are the secret jumps they make with their counters?

This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes. . . .

Can you find 2 butterflies to go on each flower so that the numbers on each pair of butterflies adds to the same number as the one on the flower?

Can you make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?

These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?

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?

A game for 2 players. Practises subtraction or other maths operations knowledge.

Find all the numbers that can be made by adding the dots on two dice.

In this game for two players, the aim is to make a row of four coins which total one dollar.

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.

Can you hang weights in the right place to make the equaliser balance?

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?

There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?

Place the digits 1 to 9 into the circles so that each side of the triangle adds to the same total.

How could you put eight beanbags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?

Strike it Out game for an adult and child. Can you stop your partner from being able to go?

Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.

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

A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!

This challenge extends the Plants investigation so now four or more children are involved.

This challenging activity involves finding different ways to distribute fifteen items among four sets, when the sets must include three, four, five and six items.

In how many ways could Mrs Beeswax put ten coins into her three puddings so that each pudding ended up with at least two coins?

Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

These two group activities use mathematical reasoning - one is numerical, one geometric.

There were 22 legs creeping across the web. How many flies? How many spiders?

Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.

Can you draw a continuous line through 16 numbers on this grid so that the total of the numbers you pass through is as high as possible?

Woof is a big dog. Yap is a little dog. Emma has 16 dog biscuits to give to the two dogs. She gave Woof 4 more biscuits than Yap. How many biscuits did each dog get?

Write the numbers up to 64 in an interesting way so that the shape they make at the end is interesting, different, more exciting ... than just a square.

Using the cards 2, 4, 6, 8, +, - and =, what number statements can you make?

A game for 2 people using a pack of cards Turn over 2 cards and try to make an odd number or a multiple of 3.

Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?