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?
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?
Buzzy Bee was building a honeycomb. She decided to decorate the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?
Which comes next in each pattern of dominoes?
How could you estimate the number of pencils/pens in these pictures?
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?
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.
Are these statements relating to odd and even numbers always true, sometimes true or never true?
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.
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
Who said that adding couldn't be fun?
How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?
Try this matching game which will help you recognise different ways of saying the same time interval.
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
This investigates one particular property of number by looking closely at an example of adding two odd numbers together.
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?
This problem looks at how one example of your choice can show something about the general structure of multiplication.
What two-digit numbers can you make with these two dice? What can't you make?
Some children were playing a game. Make a graph or picture to show how many ladybirds each child had.
Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
In how many different ways can you break up a stick of 7 interlocking cubes? Now try with a stick of 8 cubes and a stick of 6 cubes.
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
This activity focuses on rounding to the nearest 10.
Complete the squares - but be warned some are trickier than they look!
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
This challenge is about finding the difference between numbers which have the same tens digit.
Can you hang weights in the right place to make the equaliser balance?
Can you fill in the empty boxes in the grid with the right shape and colour?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
An activity centred around observations of dots and how we visualise number arrangement patterns.
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
This big box adds something to any number that goes into it. If you know the numbers that come out, what addition might be going on in the box?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
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 3 dominoes?
Noah saw 12 legs walk by into the Ark. How many creatures did he see?
Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?
How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?
My coat has three buttons. How many ways can you find to do up all the buttons?
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
Can you cover the camel with these pieces?
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 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 ...?
Can you sort these triangles into three different families and explain how you did it?
What patterns can you make with a set of dominoes?
How many possible necklaces can you find? And how do you know you've found them all?