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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Multiplication and Division

### Even and Odd

### Double or Halve?

### Catrina's Cards

### Our Numbers

### Are You Well Balanced?

### Clapping Times

### Birthday Sharing

### Tables Teaser

### Share Bears

### Two Numbers Under the Microscope

### Always, Sometimes or Never?

### Ip Dip

### Growing Garlic

### Magic Plant

### Ring a Ring of Numbers

### How Odd

### Lots of Lollies

### Odd Times Even

### The Amazing Splitting Plant

### More Numbers in the Ring

### The Tomato and the Bean

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These activities are part of our Primary collections, which are problems grouped by topic.

Age 5 to 7

Challenge Level

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?

Age 5 to 7

Challenge Level

Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?

Age 5 to 7

Challenge Level

How would you find out how many football cards Catrina has collected?

Age 5 to 7

Challenge Level

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?

Age 5 to 7

Challenge Level

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

Age 5 to 7

Challenge Level

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?

Age 5 to 7

Challenge Level

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?

Age 5 to 7

Challenge Level

How will you work out which numbers have been used to create this multiplication square?

Age 5 to 7

Challenge Level

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

Age 5 to 7

Challenge Level

This investigates one particular property of number by looking closely at an example of adding two odd numbers together.

Age 5 to 11

Challenge Level

Are these statements relating to odd and even numbers always true, sometimes true or never true?

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 ...?

Age 5 to 11

Challenge Level

Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

Age 5 to 7

Challenge Level

On Friday the magic plant was only 2 centimetres tall. Every day it doubled its height. How tall was it on Monday?

Age 5 to 7

Challenge Level

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are 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?

Age 5 to 7

Challenge Level

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?

Age 5 to 7

Challenge Level

This problem looks at how one example of your choice can show something about the general structure of multiplication.

Age 5 to 7

Challenge Level

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

Age 5 to 7

Challenge Level

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?

Age 5 to 7

Challenge Level

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?