Can you work out how to win this game of Nim? Does it matter if you go first or second?

Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?

Nim-7 game for an adult and child. Who will be the one to take the last counter?

Solve this Sudoku puzzle whose clues are in the form of sums of the numbers which should appear in diagonal opposite cells.

You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?

Here is a version of the game 'Happy Families' for you to make and play.

A game for two people, who take turns to move the counters. The player to remove the last counter from the board wins.

Take a look at the video of this trick. Can you perform it yourself? Why is this maths and not magic?

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

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?

Place the numbers 1 to 8 in the circles so that no consecutive numbers are joined by a line.

This is a game in which your counters move in a spiral round the snail's shell. It is about understanding tens and units.

Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?

How many legs do each of these creatures have? How many pairs is that?

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.

There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?

This article for pupils explores what makes numbers special or lucky, and looks at the numbers that are all around us every day.

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

Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?

In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?

This challenge involves calculating the number of candles needed on birthday cakes. It is an opportunity to explore numbers and discover new things.

In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?

Ruth Trundley outlines her doctoral research and concludes that development of an understanding of cardinality is a crucial element of counting that can be overlooked.

Have a look at these photos of different fruit. How many do you see? How did you count?

Watch the video of Fran re-ordering these number cards. What do you notice? Try it for yourself. What happens?

Find the words hidden inside each of the circles by counting around a certain number of spaces to find each letter in turn.

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

Can you deduce the pattern that has been used to lay out these bottle tops?

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?

Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?

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

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?

25 students are queuing in a straight line. How many are there between Julia and Jenny?

This article for teachers describes a project which explores the power of storytelling to convey concepts and ideas to children.

A magician took a suit of thirteen cards and held them in his hand face down. Every card he revealed had the same value as the one he had just finished spelling. How did this work?

Can you work out how many apples there are in this fruit bowl if you know what fraction there are?

While musing about the difficulties children face in comprehending number structure, notation, etc., it occured to the author that there is a vast array of occasions when numbers and signs are used. . . .

Investigate the different ways these aliens count in this challenge. You could start by thinking about how each of them would write our number 7.

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

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

Some children were playing a game. Make a graph or picture to show how many ladybirds each child had.

Lee was writing all the counting numbers from 1 to 20. She stopped for a rest after writing seventeen digits. What was the last number she wrote?

Noah saw 12 legs walk by into the Ark. How many creatures did he see?

Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?