Which comes next in each pattern of dominoes?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
How could you estimate the number of pencils/pens in these pictures?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
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?
Some children were playing a game. Make a graph or picture to show how many ladybirds each child had.
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?
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?
This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Can you hang weights in the right place to make the equaliser balance?
Complete the squares - but be warned some are trickier than they look!
This investigates one particular property of number by looking closely at an example of adding two odd numbers together.
Try this matching game which will help you recognise different ways of saying the same time interval.
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
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?
How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?
Are these statements relating to odd and even numbers always true, sometimes true or never true?
This problem looks at how one example of your choice can show something about the general structure of multiplication.
Who said that adding couldn't be fun?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
This is a game in which your counters move in a spiral round the snail's shell. It is about understanding tens and units.
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 is a game for two players. Can you find out how to be the first to get to 12 o'clock?
This problem is designed to help children to learn, and to use, the two and three times tables.
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?
There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. Can you use the information given to find out how many eggs are in each basket?
Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?
This challenge is about finding the difference between numbers which have the same tens digit.
An activity centred around observations of dots and how we visualise number arrangement patterns.
Choose a symbol to put into the number sentence.
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Can you fill in the empty boxes in the grid with the right shape and colour?
How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
My coat has three buttons. How many ways can you find to do up all the buttons?
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?
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?
Can you cover the camel with these pieces?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
This activity focuses on rounding to the nearest 10.
My cube has inky marks on each face. Can you find the route it has taken? What does each face look like?
Can you sort these triangles into three different families and explain how you did it?
How many possible necklaces can you find? And how do you know you've found them all?