problem
Favourite
Even and odd
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?
problem
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I Like ...
Age
5 to 7
Challenge level
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
problem
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En-counters
Age
5 to 7
Challenge level
This task requires learners to explain and help others, asking and answering questions.
problem
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Shapely Lines
Age
5 to 7
Challenge level
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?
problem
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Ip Dip
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 ...?
problem
Favourite
The add and take-away path
Age
5 to 7
Challenge level
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?
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?
problem
Favourite
Order, Order!
Age
5 to 11
Challenge level
Can you place these quantities in order from smallest to largest?
problem
Favourite
I'm Eight
Age
5 to 11
Challenge level
Find a great variety of ways of asking questions which make 8.
problem
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What is the time?
Age
5 to 11
Challenge level
Can you put these times on the clocks in order? You might like to arrange them in a circle.
problem
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Let's Investigate Triangles
Age
5 to 7
Challenge level
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?
problem
Favourite
Half Time
Age
5 to 11
Challenge level
What could the half time scores have been in these Olympic hockey matches?
problem
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Poly Plug Pattern
Age
5 to 7
Challenge level
Create a pattern on the small grid. How could you extend your pattern on the larger grid?
problem
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Next Domino
Age
5 to 7
Challenge level
Which comes next in each pattern of dominoes?
problem
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Data shapes
Age
5 to 7
Challenge level
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?
problem
Favourite
Sticky Data
Age
5 to 7
Challenge level
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?'.
problem
Favourite
That number square
Age
5 to 11
Challenge level
Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?
problem
Favourite
Matching Time
Age
5 to 7
Challenge level
Try this matching game which will help you recognise different ways of saying the same time interval.
problem
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Double or Halve?
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?
problem
Favourite
Domino Sequences
Age
5 to 7
Challenge level
Find the next two dominoes in these sequences.
problem
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Paper Partners
Age
5 to 7
Challenge level
Can you describe a piece of paper clearly enough for your partner to know which piece it is?
problem
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What's in a Name?
Age
5 to 7
Challenge level
What do you notice about these squares of numbers? What is the same? What is different?
problem
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Always, Sometimes or Never?
Age
5 to 11
Challenge level
Are these statements relating to odd and even numbers always true, sometimes true or never true?
problem
Favourite
Carroll Diagrams
Age
5 to 11
Challenge level
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
problem
Favourite
Break it up!
Age
5 to 11
Challenge level
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?
problem
Favourite
Birthday Sharing
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?
problem
Favourite
Tables Teaser
Age
5 to 7
Challenge level
How will you work out which numbers have been used to create this multiplication square?
problem
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Cuisenaire Counting
Age
5 to 7
Challenge level
Here are some rods that are different colours. How could I make a yellow rod using white and red rods?
problem
Favourite
Digit Addition
Age
5 to 11
Challenge level
Try out this number trick. What happens with different starting numbers? What do you notice?
problem
Favourite
How Many?
Age
5 to 11
Challenge level
Have a look at these photos of different fruit. How many do you see? How did you count?
problem
Favourite
Are you well Balanced?
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.
problem
Favourite
Arranging Additions and Sorting Subtractions
Age
5 to 7
Challenge level
Order these four calculations from easiest to hardest. How did you decide?
problem
Favourite
Cover the Camel
Age
5 to 7
Challenge level
Can you cover the camel with these pieces?
problem
Favourite
Fruity Pairs
Age
5 to 7
Challenge level
Which two items of fruit could Kate and Sam choose? Can you order the prices from lowest to highest?
problem
Favourite
Growing Garlic
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?
problem
Favourite
Subtraction Slip
Age
5 to 7
Challenge level
Can you spot the mistake in this video? How would you work out the answer to this calculation?
problem
Favourite
Matching Triangles
Age
5 to 7
Challenge level
Can you sort these triangles into three different families and explain how you did it?
problem
Favourite
Strike it Out
Age
5 to 11
Challenge level
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
problem
Favourite
Five Coins
Age
5 to 11
Challenge level
Ben has five coins in his pocket. How much money might he have?
problem
Favourite
Jumping squares
Age
5 to 7
Challenge level
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.
problem
Favourite
6 Beads
Age
5 to 7
Challenge level
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?
problem
Favourite
Colouring Triangles
Age
5 to 7
Challenge level
Explore ways of colouring this set of triangles. Can you make symmetrical patterns?
problem
Favourite
Chain of Changes
Age
5 to 7
Challenge level
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?
problem
Favourite
The Puzzling Sweet Shop
Age
5 to 11
Challenge level
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?
problem
Favourite
Birthday Cakes
Age
5 to 7
Challenge level
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?
problem
Favourite
Skeleton Shapes
Age
5 to 7
Challenge level
How many balls of modelling clay and how many straws does it take to make these skeleton shapes?
problem
Favourite
Hundred Square
Age
5 to 11
Challenge level
A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?
problem
Favourite
Ring a Ring of Numbers
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.
problem
Favourite
Secret Number
Age
5 to 7
Challenge level
Annie and Ben are playing a game with a calculator. What was Annie's secret number?
problem
Favourite
Cubes Cut into Four Pieces
Age
5 to 7
Challenge level
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?
problem
Favourite
Stop the Clock
Age
5 to 7
Challenge level
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
problem
Favourite
Which symbol?
Age
7 to 11
Challenge level
Choose a symbol to put into the number sentence.