In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?

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.

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.

As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

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?

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

The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?

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?

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

Explore Alex's number plumber. What questions would you like to ask? What do you think is happening to the numbers?

This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?

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

On Planet Plex, there are only 6 hours in the day. Can you answer these questions about how Arog the Alien spends his day?

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

Fill in the numbers to make the sum of each row, column and diagonal equal to 34. For an extra challenge try the huge American Flag magic square.

Fill in the numbers to make the sum of each row, column and diagonal equal to 15.

Fill in the missing numbers so that adding each pair of corner numbers gives you the number between them (in the box).

At the beginning of May Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height?

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?

Annie and Ben are playing a game with a calculator. What was Annie's secret number?

Twizzle, a female giraffe, needs transporting to another zoo. Which route will give the fastest journey?

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

Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. Can you use the information given to find out how many eggs are in each basket?

Move from the START to the FINISH by moving across or down to the next square. Can you find a route to make these totals?

In this problem you have to place four by four magic squares on the faces of a cube so that along each edge of the cube the numbers match.

This challenge focuses on finding the sum and difference of pairs of two-digit numbers.

Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?

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

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?

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?

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

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

Sam got into an elevator. He went down five floors, up six floors, down seven floors, then got out on the second floor. On what floor did he get on?

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?

Can you find all the ways to get 15 at the top of this triangle of numbers?

This task follows on from Build it Up and takes the ideas into three dimensions!

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?

Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?

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

Cassandra, David and Lachlan are brothers and sisters. They range in age between 1 year and 14 years. Can you figure out their exact ages from the clues?

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

Claire thinks she has the most sports cards in her album. "I have 12 pages with 2 cards on each page", says Claire. Ross counts his cards. "No! I have 3 cards on each of my pages and there are. . . .

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?

On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?

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

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