Resources tagged with: Counting

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Broad Topics > The Number System and Place Value > Counting

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?

Numbers and Notation - Ambiguities and Confusions

Age 5 to 7

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. . . .

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?

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?

Lucky Numbers

Age 5 to 11

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

Queue

Age 5 to 7 Challenge Level:

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

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.

100 Square Jigsaw

Age 5 to 7 Challenge Level:

Can you complete this jigsaw of the 100 square?

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.

Pairs of Legs

Age 5 to 7 Challenge Level:

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

Up and Down Donkey

Age 5 to 11 Challenge Level:

A number card game for 2-6 players.

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?

Stone Age Counting

Age 5 to 7 Challenge Level:

What could these drawings, found in a cave in Spain, represent?

The Value of Two

Age 3 to 7

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.

Unexpected Ordering

Age 5 to 7 Challenge Level:

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

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?

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.

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.

Next Domino

Age 5 to 7 Challenge Level:

Which comes next in each pattern of dominoes?

Lots of Biscuits!

Age 5 to 7 Challenge Level:

Help share out the biscuits the children have made.

Dotty Six

Age 5 to 11 Challenge Level:

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

Pairs of Numbers

Age 5 to 7 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?

Fingers and Hands

Age 7 to 11 Challenge Level:

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

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?

Making Sticks

Age 5 to 7 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?

Sumo

Age 7 to 11 Challenge Level:

A number game requiring a strategy.

Count the Crayons

Age 5 to 7 Challenge Level:

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

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?

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?

Alien Counting

Age 7 to 11 Challenge Level:

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.

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?

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.

Some Secret Codes

Age 7 to 11 Challenge Level:

Can you follow the rule to decode the messages?

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.

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?

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?

Ip Dip

Age 5 to 11 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 ...?

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?

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?

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?

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?

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?

Poker Bingo

Age 5 to 11 Challenge Level:

A game played with a standard pack of cards.

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.

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.

KS2 Teacher Playing with Dice Collection

Age 7 to 11 Challenge Level:

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?

Month Mania

Age 5 to 11 Challenge Level:

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

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?

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.