![Next Domino](/sites/default/files/styles/medium/public/thumbnails/content-00-03-letme1-icon.png?itok=gx2ASzuK)
![Data shapes](/sites/default/files/styles/medium/public/thumbnails/content-id-7523-icon.png?itok=I09cNPkK)
problem
Data shapes
Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?
![Sticky Data](/sites/default/files/styles/medium/public/thumbnails/content-id-7687-icon.jpg?itok=N-uIyXGU)
problem
Sticky Data
You'll need to work in a group on this problem. Use your sticky notes to show the answer to questions such as 'how many girls are there in your group?'.
![That number square](/sites/default/files/styles/medium/public/thumbnails/content-id-8169-icon.jpg?itok=RXd521Qj)
problem
That number square
Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?
![Matching Time](/sites/default/files/styles/medium/public/thumbnails/content-id-10332-icon.png?itok=YDxOS7by)
problem
Matching Time
Try this matching game which will help you recognise different ways of saying the same time interval.
![Double or Halve?](/sites/default/files/styles/medium/public/thumbnails/content-id-10654-icon.png?itok=Uz7E73ZF)
problem
Double or Halve?
Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?
![Domino Sequences](/sites/default/files/styles/medium/public/thumbnails/content-03-03-letme1-icon.gif?itok=6U1wpha0)
![Dicey Addition](/sites/default/files/styles/medium/public/thumbnails/content-id-11863-icon.png?itok=JxXPSevO)
![Paper Partners](/sites/default/files/styles/medium/public/thumbnails/content-id-12234-icon.jpg?itok=1NPyJ2RQ)
problem
Paper Partners
Can you describe a piece of paper clearly enough for your partner to know which piece it is?
![What's in a Name?](/sites/default/files/styles/medium/public/thumbnails/content-99-11-penta1-icon.gif?itok=81VflGfg)
problem
What's in a Name?
What do you notice about these squares of numbers? What is the same? What is different?
![Always, Sometimes or Never?](/sites/default/files/styles/medium/public/thumbnails/content-id-12670-icon.png?itok=UGVEdfeW)
problem
Always, Sometimes or Never?
Are these statements relating to odd and even numbers always true, sometimes true or never true?
![Carroll Diagrams](/sites/default/files/styles/medium/public/thumbnails/content-id-13212-icon.png?itok=6pM2e6Rm)
problem
Carroll Diagrams
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
![Break it up!](/sites/default/files/styles/medium/public/thumbnails/content-id-2284-icon.png?itok=W-LLpaGb)
problem
Break it up!
In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?
![Birthday Sharing](/sites/default/files/styles/medium/public/thumbnails/content-id-14052-icon.png?itok=uHtu7Neb)
problem
Birthday Sharing
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](/sites/default/files/styles/medium/public/thumbnails/content-id-14242-icon.png?itok=4Li13yQB)
problem
Tables Teaser
How will you work out which numbers have been used to create this multiplication square?
![Cuisenaire Counting](/sites/default/files/styles/medium/public/thumbnails/content-id-2724-icon.png?itok=Wuz6psIg)
problem
Cuisenaire Counting
Here are some rods that are different colours. How could I make a yellow rod using white and red rods?
![Digit Addition](/sites/default/files/styles/medium/public/thumbnails/content-id-14312-icon.png?itok=5rMz7AQJ)
problem
Digit Addition
Try out this number trick. What happens with different starting numbers? What do you notice?
![How Many?](/sites/default/files/styles/medium/public/thumbnails/content-id-14404-icon.jpg?itok=z7bV1aR8)
problem
How Many?
Have a look at these photos of different fruit. How many do you see? How did you count?
![Are you well Balanced?](/sites/default/files/styles/medium/public/thumbnails/content-id-4734-icon.png?itok=LtGVHatm)
problem
Are you well Balanced?
Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.
![Arranging Additions and Sorting Subtractions](/sites/default/files/styles/medium/public/thumbnails/content-id-14726-icon.png?itok=JpyCE6wp)
problem
Arranging Additions and Sorting Subtractions
Order these four calculations from easiest to hardest. How did you decide?
![Cover the Camel](/sites/default/files/styles/medium/public/thumbnails/content-id-4866-icon.png?itok=erRasJeZ)
![Fruity Pairs](/sites/default/files/styles/medium/public/thumbnails/content-id-14727-icon.jpg?itok=4ujb6NzW)
problem
Fruity Pairs
Which two items of fruit could Kate and Sam choose? Can you order the prices from lowest to highest?
![Growing Garlic](/sites/default/files/styles/medium/public/thumbnails/content-id-5579-icon.png?itok=3gT7Jloo)
problem
Growing Garlic
Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?
![Subtraction Slip](/sites/default/files/styles/medium/public/thumbnails/content-id-14740-icon.jpg?itok=M2VCKxJ5)
problem
Subtraction Slip
Can you spot the mistake in this video? How would you work out the answer to this calculation?
![Matching Triangles](/sites/default/files/styles/medium/public/thumbnails/content-id-5638-icon.png?itok=2JXmQ0c4)
problem
Matching Triangles
Can you sort these triangles into three different families and explain how you did it?
![Strike it Out](/sites/default/files/styles/medium/public/thumbnails/content-id-6589-icon.gif?itok=PtQ_v8tW)
problem
Strike it Out
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
![Even and odd](/sites/default/files/styles/medium/public/thumbnails/content-id-6895-icon.png?itok=koeHIdLD)
problem
Even and odd
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?
![I Like ...](/sites/default/files/styles/medium/public/thumbnails/content-id-6962-icon.gif?itok=iN64Angn)
problem
I Like ...
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
![En-counters](/sites/default/files/styles/medium/public/thumbnails/content-id-6981-icon.jpg?itok=mrLghLox)
problem
En-counters
This task requires learners to explain and help others, asking and answering questions.
![Shapely Lines](/sites/default/files/styles/medium/public/thumbnails/content-id-7009-icon.gif?itok=3dcQ0-oh)
problem
Shapely Lines
This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?
![Ip Dip](/sites/default/files/styles/medium/public/thumbnails/content-id-7185-icon.gif?itok=t93ltWdE)
problem
Ip Dip
"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 ...?
![The add and take-away path](/sites/default/files/styles/medium/public/thumbnails/content-id-7281-icon.jpg?itok=BFClBmAp)
problem
The add and take-away path
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?
![Placeholder: several colourful numbers](/themes/nrich/images/nrich_small_placeholder.png)
project
How Many?
This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?
![Order, Order!](/sites/default/files/styles/medium/public/thumbnails/content-id-7340-icon.gif?itok=6q9jilcl)
![I'm Eight](/sites/default/files/styles/medium/public/thumbnails/content-98-11-bbprob2-icon.png?itok=y1X7RsxW)
![What is the time?](/sites/default/files/styles/medium/public/thumbnails/content-id-7377-icon.png?itok=rmVi8P0x)
problem
What is the time?
Can you put these times on the clocks in order? You might like to arrange them in a circle.
![Let's Investigate Triangles](/sites/default/files/styles/medium/public/thumbnails/content-01-09-bbprob2-icon.gif?itok=t7U4-AYC)
problem
Let's Investigate Triangles
Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?
![Half Time](/sites/default/files/styles/medium/public/thumbnails/content-id-7408-icon.jpg?itok=JF-ETQem)
![Poly Plug Pattern](/sites/default/files/styles/medium/public/thumbnails/content-id-7515-icon.png?itok=DUDUFygU)
problem
Poly Plug Pattern
Create a pattern on the small grid. How could you extend your pattern on the larger grid?
![Colouring Triangles](/sites/default/files/styles/medium/public/thumbnails/content-00-04-letme2-icon.jpg?itok=VxbtyN04)
problem
Colouring Triangles
Explore ways of colouring this set of triangles. Can you make symmetrical patterns?
![Chain of Changes](/sites/default/files/styles/medium/public/thumbnails/content-02-05-letme1-icon.jpg?itok=FijEpKc5)
problem
Chain of Changes
Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?
![The Puzzling Sweet Shop](/sites/default/files/styles/medium/public/thumbnails/content-02-06-letme1-icon.jpg?itok=8LrERn1t)
problem
The Puzzling Sweet Shop
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?
![Birthday Cakes](/sites/default/files/styles/medium/public/thumbnails/content-03-05-letme2-icon.gif?itok=9UlNs-ri)
problem
Birthday Cakes
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?
![Skeleton Shapes](/sites/default/files/styles/medium/public/thumbnails/content-03-02-penta3-icon.gif?itok=FFqXzeO6)
problem
Skeleton Shapes
How many balls of modelling clay and how many straws does it take to make these skeleton shapes?
![Hundred Square](/sites/default/files/styles/medium/public/thumbnails/content-id-2397-icon.gif?itok=CU5wPqS3)
problem
Hundred Square
A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?
![Ring a Ring of Numbers](/sites/default/files/styles/medium/public/thumbnails/content-id-2782-icon.png?itok=90NvaFQb)
problem
Ring a Ring of Numbers
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
![Secret Number](/sites/default/files/styles/medium/public/thumbnails/content-id-5651-icon.png?itok=JIKXpI6V)
problem
Secret Number
Annie and Ben are playing a game with a calculator. What was Annie's secret number?
![Five Coins](/sites/default/files/styles/medium/public/thumbnails/content-99-01-letme1-icon.png?itok=DVhsGHE1)
![Jumping squares](/sites/default/files/styles/medium/public/thumbnails/content-id-7471-icon.png?itok=zhe2tIx9)
problem
Jumping squares
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.
![6 Beads](/sites/default/files/styles/medium/public/thumbnails/content-99-06-letme1-icon.png?itok=YH8jRl8P)
problem
6 Beads
If you put three beads onto a tens/ones abacus you can make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?
![Cubes Cut into Four Pieces](/sites/default/files/styles/medium/public/thumbnails/content-02-11-letme1-icon.gif?itok=DyLcdCIX)
problem
Cubes Cut into Four Pieces
Eight children each had a cube made from modelling clay. They cut them into four pieces which were all exactly the same shape and size. Whose pieces are the same? Can you decide who made each set?
![Stop the Clock](/sites/default/files/styles/medium/public/thumbnails/content-id-6071-icon.jpg?itok=2KH6HDW2)
problem
Stop the Clock
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
![Which symbol?](/sites/default/files/styles/medium/public/thumbnails/content-id-6777-icon.png?itok=RZG-oytk)