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Addition & subtraction. Interactivities. PrimaryGames-Number. Visualising. Games. PrimaryGames-Strategy. Pack of cards. Working systematically. Counting. Generalising.There are 61 results
Broad Topics > Numbers and the Number System > Counting
Nim-7 for Two
Age 5 to 14 Challenge Level:
Nim-7 game for an adult and child. Who will be the one to take the last counter?
Incey Wincey Spider
Age 5 to 7 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?
Tug of War
Age 5 to 7 Challenge Level:
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Queue
Age 5 to 7 Challenge Level:
25 students are queuing in a straight line. How many are there between Julia and Jenny?
Nim-7
Age 5 to 14 Challenge Level:
Can you work out how to win this game of Nim? Does it matter if you go first or second?
Incey Wincey Spider for Two
Age 5 to 7 Challenge Level:
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
Making Maths: Happy Families
Age 5 to 11 Challenge Level:
Here is a version of the game 'Happy Families' for you to make and play.
A Bowl of Fruit
Age 5 to 7 Challenge Level:
Can you work out how many apples there are in this fruit bowl if you know what fraction there are?
Count the Crayons
Age 5 to 7 Challenge Level:
How could you estimate the number of pencils/pens in these pictures?
Stone Age Counting
Age 5 to 7 Challenge Level:
What could these drawings, found in a cave in Spain, represent?
Sort Them Out (1)
Age 5 to 7 Challenge Level:
Can you each work out the number on your card? What do you notice? How could you sort the cards?
Find a Path
Age 5 to 7 Challenge Level:
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?
Jumping Squares
Age 5 to 7 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.
Snail One Hundred
Age 5 to 7 Challenge Level:
This is a game in which your counters move in a spiral round the snail's shell. It is about understanding tens and units.
How Would We Count?
Age 5 to 11 Challenge Level:
An activity centred around observations of dots and how we visualise number arrangement patterns.
All Change
Age 5 to 7 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?
Noah
Age 5 to 7 Challenge Level:
Noah saw 12 legs walk by into the Ark. How many creatures did he see?
Sitting Round the Party Tables
Age 5 to 11 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.
Pairs of Legs
Age 5 to 7 Challenge Level:
How many legs do each of these creatures have? How many pairs is that?
How Odd
Age 5 to 7 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?
Counting Cards
Age 7 to 11 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?
Birthday Cake Candles
Age 7 to 11 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.
Slippery Snail
Age 7 to 16 Challenge Level:
A game for two people, who take turns to move the counters. The player to remove the last counter from the board wins.
Diagonal Sums Sudoku
Age 7 to 16 Challenge Level:
Solve this Sudoku puzzle whose clues are in the form of sums of the numbers which should appear in diagonal opposite cells.
Mrs Beeswax
Age 5 to 7 Challenge Level:
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?
Ladybird Count
Age 5 to 7 Challenge Level:
Some children were playing a game. Make a graph or picture to show how many ladybirds each child had.
1 to 8
Age 7 to 11 Challenge Level:
Place the numbers 1 to 8 in the circles so that no consecutive numbers are joined by a line.
Tug Harder!
Age 7 to 11 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?
Dotty Six for Two
Age 5 to 11 Challenge Level:
Dotty Six game for an adult and child. Will you be the first to have three sixes in a straight line?
Birthday Cakes
Age 5 to 7 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?
Cube Bricks and Daisy Chains
Age 5 to 7 Challenge Level:
Daisy and Akram were making number patterns. Daisy was using beads that looked like flowers and Akram was using cube bricks. First they were counting in twos.
Neighbours
Age 7 to 11 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?
Buzzy Bee
Age 5 to 7 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?
Page Numbers
Age 7 to 11 Short Challenge Level:
Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?
Dramatic Mathematics
Age 5 to 11
This article for teachers describes a project which explores the power of storytelling to convey concepts and ideas to children.
Picture a Pyramid ...
Age 7 to 11 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?
Swimming Pool
Age 5 to 11 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?
Which Is Quicker?
Age 7 to 11 Challenge Level:
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
Writing Digits
Age 5 to 7 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?
Natural Born Mathematicians
Age 5 to 7
Helen Joyce interviews the neuropsychologist Brian Butterworth whose research has shown that we are all born with a "built-in" sense of cardinal number.
Eightness of Eight
Age 5 to 7 Challenge Level:
What do you see as you watch this video? Can you create a similar video for the number 12?
Spelling Circle
Age 7 to 11 Challenge Level:
Find the words hidden inside each of the circles by counting around a certain number of spaces to find each letter in turn.
Fingers and Hands
Age 7 to 11 Challenge Level:
How would you count the number of fingers in these pictures?
NRICH is part of the family of activities in the Millennium Mathematics Project.