Counting, Comparing and Ordering: Age 5-7

This is part of our collection of favourite rich tasks arranged by topic.

If you are a teacher, you can find the whole collection on our Primary Curriculum teacher page.
Alternatively, if you are a student, you'll find the same problems on our Primary Curriculum student page.


  • Snail One Hundred
    game
    Favourite

    Snail One Hundred

    Age
    5 to 7
    Challenge level
    1 out of 3

    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.

  • Next Domino
    problem
    Favourite

    Next Domino

    Age
    5 to 7
    Challenge level
    1 out of 3

    Which comes next in each pattern of dominoes?

  • problem
    Favourite

    Buzzy Bee

    Age
    5 to 7
    Challenge level
    1 out of 3

    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?

  • Ladybird Count
    problem
    Favourite

    Ladybird Count

    Age
    5 to 7
    Challenge level
    1 out of 3

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

  • 100 Square Jigsaw
    problem
    Favourite

    100 Square Jigsaw

    Age
    5 to 7
    Challenge level
    1 out of 3

    Can you complete this jigsaw of the 100 square?

  • Tug of War
    problem
    Favourite

    Tug of War

    Age
    5 to 7
    Challenge level
    1 out of 3

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

  • Even and odd
    problem
    Favourite

    Even and Odd

    Age
    5 to 7
    Challenge level
    1 out of 3

    This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?

  • I Like ...
    problem
    Favourite

    I Like ...

    Age
    5 to 7
    Challenge level
    1 out of 3

    Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

  • problem
    Favourite

    Cube Bricks and Daisy Chains

    Age
    5 to 7
    Challenge level
    1 out of 3

    Daisy and Akram have made some number patterns. Can you find out which pattern is longer?

  • Round the Two Dice
    problem
    Favourite

    Round the Two Dice

    Age
    5 to 7
    Challenge level
    1 out of 3

    This activity focuses on rounding to the nearest 10.

  • Five Steps to 50
    problem
    Favourite

    Five Steps to 50

    Age
    5 to 7
    Challenge level
    1 out of 3

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

  • Count the Crayons
    problem
    Favourite

    Count the Crayons

    Age
    5 to 7
    Challenge level
    1 out of 3

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

  • Writing Digits
    problem
    Favourite

    Writing Digits

    Age
    5 to 7
    Challenge level
    1 out of 3

    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?

  • problem
    Favourite

    Robot Monsters

    Age
    5 to 7
    Challenge level
    1 out of 3

    Use these head, body and leg pieces to make Robot Monsters which are different heights.

  • Number Balance
    problem
    Favourite

    Number Balance

    Age
    5 to 7
    Challenge level
    1 out of 3

    Can you hang weights in the right place to make the the number balance balanced?

  • Lots of Biscuits!
    problem
    Favourite

    Lots of Biscuits!

    Age
    5 to 7
    Challenge level
    1 out of 3

    Help share out the biscuits the children have made.

  • Sort them out (1)
    problem
    Favourite

    Sort Them Out (1)

    Age
    5 to 7
    Challenge level
    1 out of 3

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

  • Number match
    problem
    Favourite

    Number Match

    Age
    5 to 7
    Challenge level
    1 out of 3

    Can you work as a group to match these numbers?

  • problem
    Favourite

    Pairs of Numbers

    Age
    5 to 7
    Challenge level
    1 out of 3

    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?

  • All Change
    problem
    Favourite

    All Change

    Age
    5 to 7
    Challenge level
    1 out of 3

    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?

  • Can you do \it too?
    problem
    Favourite

    Can You Do It Too?

    Age
    5 to 7
    Challenge level
    1 out of 3

    Try some throwing activities and see whether you can throw something as far as the Olympic hammer or discus throwers.

  • Eightness of Eight
    problem
    Favourite

    Eightness of Eight

    Age
    5 to 7
    Challenge level
    1 out of 3

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

  • problem
    Favourite

    Noah

    Age
    5 to 7
    Challenge level
    2 out of 3

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

  • Missing Middles
    problem
    Favourite

    Missing Middles

    Age
    5 to 7
    Challenge level
    2 out of 3

    Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of three dominoes?

  • problem
    Favourite

    Birthday Cakes

    Age
    5 to 7
    Challenge level
    2 out of 3

    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?

  • problem
    Favourite

    Caterpillars

    Age
    5 to 7
    Challenge level
    2 out of 3

    These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?

  • Light the Lights
    problem
    Favourite

    Light the Lights

    Age
    5 to 7
    Challenge level
    2 out of 3

    Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

  • Pairs of legs
    problem
    Favourite

    Pairs of Legs

    Age
    5 to 7
    Challenge level
    2 out of 3

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

  • Jumping squares
    problem
    Favourite

    Jumping Squares

    Age
    5 to 7
    Challenge level
    2 out of 3

    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.

  • Five sticks of linked cubes of decreasing length, with the colours in rainbow order.
    problem
    Favourite

    Making Sticks

    Age
    5 to 7
    Challenge level
    2 out of 3

    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?

  • The Tall Tower
    problem
    Favourite

    The Tall Tower

    Age
    5 to 7
    Challenge level
    3 out of 3

    As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

  • Ip Dip
    problem
    Favourite

    Ip Dip

    Age
    5 to 11
    Challenge level
    1 out of 3

    "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 ...?

  • Sitting round the party tables
    problem
    Favourite

    Sitting Round the Party Tables

    Age
    5 to 11
    Challenge level
    1 out of 3

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

  • Largest Even
    problem
    Favourite

    Largest Even

    Age
    5 to 11
    Challenge level
    1 out of 3

    How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

  • Take three numbers
    problem
    Favourite

    Take Three Numbers

    Age
    5 to 11
    Challenge level
    1 out of 3

    What happens when you add three numbers together? Will your answer be odd or even? How do you know?

  • How would we count?
    problem
    Favourite

    How Would We Count?

    Age
    5 to 11
    Challenge level
    1 out of 3

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

  • That number square
    problem
    Favourite

    That Number Square

    Age
    5 to 11
    Challenge level
    1 out of 3

    Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

  • Carroll Diagrams
    problem
    Favourite

    Carroll Diagrams

    Age
    5 to 11
    Challenge level
    1 out of 3

    Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

  • How Many?
    problem
    Favourite

    How Many?

    Age
    5 to 11
    Challenge level
    1 out of 3

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

  • Dotty Six
    problem
    Favourite

    Dotty Six

    Age
    5 to 11
    Challenge level
    1 out of 3

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

  • problem
    Favourite

    How Odd

    Age
    5 to 11
    Challenge level
    2 out of 3

    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?