Multiplication and Division: 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.


  • problem
    Favourite

    Biscuit Decorations

    Age
    5 to 7
    Challenge level
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    Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?

  • Catrina's Cards
    problem
    Favourite

    Catrina's Cards

    Age
    5 to 7
    Challenge level
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    How would you find out how many football cards Catrina has collected?

  • Share Bears
    problem
    Favourite

    Share Bears

    Age
    5 to 7
    Challenge level
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    Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?

  • Same Length Trains
    problem
    Favourite

    Same Length Trains

    Age
    5 to 7
    Challenge level
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    How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?

  • Are you well Balanced?
    problem
    Favourite

    Are You Well Balanced?

    Age
    5 to 7
    Challenge level
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    Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.

  • Domino Sorting
    problem
    Favourite

    Domino Sorting

    Age
    5 to 7
    Challenge level
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    Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?

  • Clapping Times
    problem
    Favourite

    Clapping Times

    Age
    5 to 7
    Challenge level
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    If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?

  • Shut the box
    problem
    Favourite

    Shut the Box

    Age
    5 to 7
    Challenge level
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    An old game with lots of arithmetic!

  • Lots of Biscuits!
    problem
    Favourite

    Lots of Biscuits!

    Age
    5 to 7
    Challenge level
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    Help share out the biscuits the children have made.

  • Even and odd
    problem
    Favourite

    Even and Odd

    Age
    5 to 7
    Challenge level
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    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
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    Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

  • Our Numbers
    problem
    Favourite

    Our Numbers

    Age
    5 to 7
    Challenge level
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    These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

  • problem
    Favourite

    Cube Bricks and Daisy Chains

    Age
    5 to 7
    Challenge level
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    Daisy and Akram have made some number patterns. Can you find out which pattern is longer?

  • problem
    Favourite

    Pairs of Numbers

    Age
    5 to 7
    Challenge level
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    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?

  • problem
    Favourite

    Two Numbers Under the Microscope

    Age
    5 to 7
    Challenge level
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    This investigates one particular property of number by looking closely at an example of adding two odd numbers together.

  • What Could \It Be?
    problem
    Favourite

    What Could It Be?

    Age
    5 to 7
    Challenge level
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    In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?

  • Two dice, each showing five.
    problem
    Favourite

    Doubling Fives

    Age
    5 to 7
    Challenge level
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    This activity focuses on doubling multiples of five.

  • Double or Halve?
    problem
    Favourite

    Double or Halve?

    Age
    5 to 7
    Challenge level
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    Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?

  • Eightness of Eight
    problem
    Favourite

    Eightness of Eight

    Age
    5 to 7
    Challenge level
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    What do you see as you watch this video? Can you create a similar video for the number 12?

  • Birthday Sharing
    problem
    Favourite

    Birthday Sharing

    Age
    5 to 7
    Challenge level
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    It's Sahila's birthday and she is having a party. How could you answer these questions using a picture, with things, with numbers or symbols?

  • Tables Teaser
    problem
    Favourite

    Tables Teaser

    Age
    5 to 7
    Challenge level
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    How will you work out which numbers have been used to create this multiplication square?

  • Magic Plant
    problem
    Favourite

    Magic Plant

    Age
    5 to 7
    Challenge level
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    On Friday the magic plant was only 2 centimetres tall. Every day it doubled its height. How tall was it on Monday?

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

    Making Sticks

    Age
    5 to 7
    Challenge level
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    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?

  • Heads and Feet
    problem
    Favourite

    Heads and Feet

    Age
    5 to 7
    Challenge level
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    On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?

  • Ring a Ring of Numbers
    problem
    Favourite

    Ring a Ring of Numbers

    Age
    5 to 7
    Challenge level
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    Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

  • Little Man
    problem
    Favourite

    Little Man

    Age
    5 to 7
    Challenge level
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    The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?

  • Making Longer, Making Shorter
    problem
    Favourite

    Making Longer, Making Shorter

    Age
    5 to 7
    Challenge level
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    Ahmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?

  • Secret Number
    problem
    Favourite

    Secret Number

    Age
    5 to 7
    Challenge level
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    Annie and Ben are playing a game with a calculator. What was Annie's secret number?

  • Light the Lights
    problem
    Favourite

    Light the Lights

    Age
    5 to 7
    Challenge level
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    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
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    How many legs do each of these creatures have? How many pairs is that?

  • problem
    Favourite

    The Amazing Splitting Plant

    Age
    5 to 7
    Challenge level
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    Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?

  • Number Round Up
    problem
    Favourite

    Number Round Up

    Age
    5 to 7
    Challenge level
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    Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.

  • problem
    Favourite

    Grouping Goodies

    Age
    5 to 7
    Challenge level
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    Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

  • The tomato and the bean
    problem
    Favourite

    The Tomato and the Bean

    Age
    5 to 7
    Challenge level
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    At the beginning of May, Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height?

  • problem
    Favourite

    The Brown Family

    Age
    5 to 7
    Challenge level
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    Use the information about Sally and her brother to find out how many children there are in the Brown family.

  • Lots of Lollies
    problem
    Favourite

    Lots of Lollies

    Age
    5 to 7
    Challenge level
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    Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

  • More Numbers in the Ring
    problem
    Favourite

    More Numbers in the Ring

    Age
    5 to 7
    Challenge level
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    If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?

  • I'm Eight
    problem
    Favourite

    I'm Eight

    Age
    5 to 11
    Challenge level
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    Find a great variety of ways of asking questions which make 8.

  • Magnifying glass
    problem
    Favourite

    Number Detective

    Age
    5 to 11
    Challenge level
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    Follow the clues to find the mystery number.

  • Break it up!
    problem
    Favourite

    Break It Up!

    Age
    5 to 11
    Challenge level
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    In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

  • Fair Feast
    problem
    Favourite

    Fair Feast

    Age
    5 to 11
    Challenge level
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    Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?

  • Growing Garlic
    problem
    Favourite

    Growing Garlic

    Age
    5 to 11
    Challenge level
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    Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

  • Ip Dip
    problem
    Favourite

    Ip Dip

    Age
    5 to 11
    Challenge level
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    "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 ...?

  • Largest Even
    problem
    Favourite

    Largest Even

    Age
    5 to 11
    Challenge level
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    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
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    What happens when you add three numbers together? Will your answer be odd or even? How do you know?

  • Doing and undoing
    problem
    Favourite

    Doing and Undoing

    Age
    5 to 11
    Challenge level
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    An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting.

  • Always, Sometimes or Never?
    problem
    Favourite

    Always, Sometimes or Never?

    Age
    5 to 11
    Challenge level
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    Are these statements relating to odd and even numbers always true, sometimes true or never true?

  • Carroll Diagrams
    problem
    Favourite

    Carroll Diagrams

    Age
    5 to 11
    Challenge level
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    Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

  • problem
    Favourite

    The Puzzling Sweet Shop

    Age
    5 to 11
    Challenge level
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    There were cola bottles for 2p, mini eggs for 3p, marshmallow twists for 5p and lollipops for 7p in the sweet shop. What could each of the children buy with their money?

  • Make 37 Poster
    problem
    Favourite

    Make 37

    Age
    5 to 11
    Challenge level
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    Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick ten numbers from the bags so that their total is 37?