List

Multiplication and Division

Double or Halve?
problem
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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?
Always, Sometimes or Never?
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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?

Birthday Sharing
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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
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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?
I'm Eight
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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.
Catrina's Cards
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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?
Magnifying glass
problem
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Number Detective

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

Share Bears
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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?
Are you well Balanced?
problem
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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.
Clapping Times
problem
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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?
Growing Garlic
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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?

Lots of Biscuits!
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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
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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?
Our Numbers
problem
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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?

Ip Dip
problem
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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 ...?

Two numbers under the microscope
problem
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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.
Doubling Fives
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Doubling Fives

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

Which symbol?
problem
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Which symbol?

Age
7 to 11
Challenge level
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Choose a symbol to put into the number sentence.
Magic Plant
problem
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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?

Make 37 Poster
problem
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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 any ten numbers from the bags so that their total is 37?

Ring a Ring of Numbers
problem
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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.
How Odd
problem
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How Odd

Age
5 to 7
Challenge level
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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?
The Amazing Splitting Plant
problem
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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?

The tomato and the bean
problem
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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?

Lots of Lollies
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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
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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?
Odd times Even
problem
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Odd times Even

Age
5 to 7
Challenge level
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This problem looks at how one example of your choice can show something about the general structure of multiplication.