Find a great variety of ways of asking questions which make 8.

Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.

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?

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

Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?

This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?

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

Have a go at balancing this equation. Can you find different ways of doing it?

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?

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

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?

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?

Can you work out some different ways to balance this equation?

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

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

Can you work out how to balance this equaliser? You can put more than one weight on a hook.

Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?

One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?

Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?

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?

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

Can you replace the letters with numbers? Is there only one solution in each case?

This problem is designed to help children to learn, and to use, the two and three times tables.

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?

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

"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 ...?

Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?

These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?

On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?

Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

Are these statements always true, sometimes true or never true?

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.

Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.

Use 4 four times with simple operations so that you get the answer 12. Can you make 15, 16 and 17 too?

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?

Think of a number, square it and subtract your starting number. Is the number youâ€™re left with odd or even? How do the images help to explain this?

Can you make square numbers by adding two prime numbers together?