There are **94** NRICH Mathematical resources connected to **Counting**, you may find related items under The Number System and Place Value.

Challenge Level

What do you see as you watch this video? Can you create a similar video for the number 12?

Challenge Level

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

Challenge Level

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

Challenge Level

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?

Challenge Level

In this game, you throw a dice and move counters along the snail's body and in a spiral around the snail's shell. It is about understanding tens and ones.

Challenge Level

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

Challenge Level

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?

Challenge Level

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.

Challenge Level

Dotty Six is a simple dice game that you can adapt in many ways.

Challenge Level

In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?

Challenge Level

If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?

Challenge Level

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

Challenge Level

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?

Challenge Level

"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?

Challenge Level

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

Challenge Level

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?

Challenge Level

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

Challenge Level

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?

Challenge Level

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?

Challenge Level

Delight your friends with this cunning trick! Can you explain how it works?

Challenge Level

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

Challenge Level

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

Challenge Level

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?

Challenge Level

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

Challenge Level

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

Challenge Level

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?

Challenge Level

Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?

Challenge Level

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?

Challenge Level

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

Challenge Level

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?

Challenge Level

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?

In this article for practitioners, Cath Gripton and Deliah Pawluch explore the 'counting collections' approach, which encourages children to spend time playing and experimenting with counting.

Here are some examples of children's thinking prompted by drawings of numbered sunflowers on an outside wall.

Children use everyday language to talk about size, to compare quantities and objects and to solve problems

Children use everyday language to talk about time, to compare quantities and to solve problems

Challenge Level

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

Challenge Level

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

Challenge Level

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

In this 'hide and reveal' game, children are encouraged to say the number of gems without counting them.

This task encourages children to count and compare numbers when using 'voting bricks' to vote for a book at story time.

Challenge Level

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

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.

Challenge Level

Dotty Six game for an adult and child. Will you be the first to have three sixes in a straight line?

Challenge Level

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