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.

Got It game for an adult and child. How can you play so that you know you will always win?

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.

Benâ€™s class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?

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

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

How would you count the number of fingers in these pictures?

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

If the numbers 5, 7 and 4 go into this function machine, what numbers will come out?

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

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

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.

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?

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

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?

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

Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?

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

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?

Here is a chance to play a version of the classic Countdown Game.

Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?

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

First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.

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

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

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?

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

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.

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!

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

In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?

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

This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.

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. . . .

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

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?

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

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

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

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

Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?

Investigate what happens when you add house numbers along a street in different ways.

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?

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?

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?

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.