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

Use these four dominoes to make a square that has the same number of dots on each side.

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.

Can you go from A to Z right through the alphabet in the hexagonal maze?

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.

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

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

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?

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

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

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?

Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill?

Rocco ran in a 200 m race for his class. Use the information to find out how many runners there were in the race and what Rocco's finishing position was.

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?

Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?

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

Can you find a path from a number at the top of this network to the bottom which goes through each number from 1 to 9 once and once only?

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

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

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.

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

Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

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

Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?

A dog is looking for a good place to bury his bone. Can you work out where he started and ended in each case? What possible routes could he have taken?

Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?

Using the statements, can you work out how many of each type of rabbit there are in these pens?

A shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.

I was looking at the number plate of a car parked outside. Using my special code S208VBJ adds to 65. Can you crack my code and use it to find out what both of these number plates add up to?

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

There are 44 people coming to a dinner party. There are 15 square tables that seat 4 people. Find a way to seat the 44 people using all 15 tables, with no empty places.

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

Skippy and Anna are locked in a room in a large castle. The key to that room, and all the other rooms, is a number. The numbers are locked away in a problem. Can you help them to get out?

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

Can you use the information to find out which cards I have used?

If these balls are put on a line with each ball touching the one in front and the one behind, which arrangement makes the shortest line of balls?

Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?

Can you make the green spot travel through the tube by moving the yellow spot? Could you draw a tube that both spots would follow?

Is it possible to draw a 5-pointed star without taking your pencil off the paper? Is it possible to draw a 6-pointed star in the same way without taking your pen off?

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?

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

The discs for this game are kept in a flat square box with a square hole for each disc. Use the information to find out how many discs of each colour there are in the box.

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?

You have two sets of the digits 0 – 9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?

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

Find at least one way to put in some operation signs (+ - x ÷) to make these digits come to 100.

On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

Using only six straight cuts, find a way to make as many pieces of pizza as possible. (The pieces can be different sizes and shapes).

Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.