List

Being Collaborative - Primary All Resources

How do you see it?
problem
Favourite

How do you see it?

Age
5 to 11
Challenge level
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Here are some short problems for you to try. Talk to your friends about how you work them out.

Matching Triangles
problem
Favourite

Matching Triangles

Age
5 to 7
Challenge level
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Can you sort these triangles into three different families and explain how you did it?

Two flowers with the numbers 15 and 16 on them
problem
Favourite

Butterfly Flowers

Age
5 to 7
Challenge level
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Can you find two butterflies to go on each flower so that the numbers on each pair of butterflies adds to the number on their flower?

Subtraction Slip
problem
Favourite

Subtraction Slip

Age
5 to 7
Challenge level
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Can you spot the mistake in this video? How would you work out the answer to this calculation?
En-counters
problem
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En-counters

Age
5 to 7
Challenge level
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This task requires learners to explain and help others, asking and answering questions.

Can you do \it too?
problem
Favourite

Can you do it too?

Age
5 to 7
Challenge level
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Try some throwing activities and see whether you can throw something as far as the Olympic hammer or discus throwers.

Equivalent Pairs
problem
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Equivalent Pairs

Age
5 to 7
Challenge level
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Can you match pairs of cards which show the same amount?
Shapely Lines
problem
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Shapely Lines

Age
5 to 7
Challenge level
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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?

Domino Sequences
problem
Favourite

Domino Sequences

Age
5 to 7
Challenge level
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Find the next two dominoes in these sequences.
Break it up!
problem
Favourite

Break it up!

Age
5 to 11
Challenge level
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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?

Matching Time
problem
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Matching Time

Age
5 to 7
Challenge level
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Try this matching game which will help you recognise different ways of saying the same time interval.

Ip Dip
problem
Favourite

Ip Dip

Age
5 to 11
Challenge level
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"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 ...?

Snap
problem
Favourite

Snap

Age
5 to 7
Challenge level
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Try this version of Snap with a friend - do you know the order of the days of the week?
Double or Halve?
problem
Favourite

Double or Halve?

Age
5 to 7
Challenge level
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Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?
What's in a Name?
problem
Favourite

What's in a Name?

Age
5 to 7
Challenge level
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What do you notice about these squares of numbers? What is the same? What is different?
The add and take-away path
problem
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The add and take-away path

Age
5 to 7
Challenge level
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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?
Dicey Addition
problem
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Dicey Addition

Age
5 to 11
Challenge level
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Who said that adding couldn't be fun?
Venn diagrams
problem
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Venn diagrams

Age
5 to 11
Challenge level
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How will you complete these interactive Venn diagrams?

Paper Partners
problem
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Paper Partners

Age
5 to 7
Challenge level
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Can you describe a piece of paper clearly enough for your partner to know which piece it is?

Robot Monsters
problem
Favourite

Robot Monsters

Age
5 to 7
Challenge level
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Use these head, body and leg pieces to make Robot Monsters which are different heights.
Dicey Array
game
Favourite

Dicey Array

Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?

Order, Order!
problem
Favourite

Order, Order!

Age
5 to 11
Challenge level
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Can you place these quantities in order from smallest to largest?

Always, Sometimes or Never?
problem
Favourite

Always, Sometimes or Never?

Age
5 to 11
Challenge level
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Are these statements relating to odd and even numbers always true, sometimes true or never true?

Strike it out
problem
Favourite

Strike it Out

Age
5 to 11
Challenge level
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Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Placeholder: several colourful numbers
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?

What is the time?
problem
Favourite

What is the time?

Age
5 to 11
Challenge level
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Can you put these times on the clocks in order? You might like to arrange them in a circle.
Always, Sometimes or Never? KS1
problem
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Always, Sometimes or Never? KS1

Age
5 to 7
Challenge level
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Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?

Cuisenaire Counting
problem
Favourite

Cuisenaire Counting

Age
5 to 7
Challenge level
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Here are some rods that are different colours. How could I make a yellow rod using white and red rods?
I'm Eight
problem
Favourite

I'm Eight

Age
5 to 11
Challenge level
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Find a great variety of ways of asking questions which make 8.
Half Time
problem
Favourite

Half Time

Age
5 to 11
Challenge level
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What could the half time scores have been in these Olympic hockey matches?
Seeing Squares
problem
Favourite

Seeing Squares

Age
5 to 11
Challenge level
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Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Sort them out (1)
problem
Favourite

Sort them out (1)

Age
5 to 7
Challenge level
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Can you each work out the number on your card? What do you notice? How could you sort the cards?
Discuss and Choose
problem
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Discuss and Choose

Age
5 to 11
Challenge level
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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.

Carroll Diagrams
problem
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Carroll Diagrams

Age
5 to 11
Challenge level
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Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

Jig Shapes
problem
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Jig Shapes

Age
5 to 11
Challenge level
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Can you each work out what shape you have part of on your card? What will the rest of it look like?

Even and odd
problem
Favourite

Even and odd

Age
5 to 7
Challenge level
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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?
All Change
problem
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All Change

Age
5 to 7
Challenge level
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There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
Same Length Trains
problem
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Same Length Trains

Age
5 to 7
Challenge level
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How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?
Let's Investigate Triangles
problem
Favourite

Let's Investigate Triangles

Age
5 to 7
Challenge level
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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?

Poly Plug Pattern
problem
Favourite

Poly Plug Pattern

Age
5 to 7
Challenge level
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Create a pattern on the small grid. How could you extend your pattern on the larger grid?

Are you well Balanced?
problem
Favourite

Are you well Balanced?

Age
5 to 7
Challenge level
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Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.
Four Triangles Puzzle
problem
Favourite

Four Triangles Puzzle

Age
5 to 11
Challenge level
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Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

Data shapes
problem
Favourite

Data shapes

Age
5 to 7
Challenge level
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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?

Eightness of Eight
problem
Favourite

Eightness of Eight

Age
5 to 7
Challenge level
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What do you see as you watch this video? Can you create a similar video for the number 12?
Cover the Camel
problem
Favourite

Cover the Camel

Age
5 to 7
Challenge level
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Can you cover the camel with these pieces?
Number match
problem
Favourite

Number match

Age
5 to 11
Challenge level
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A task which depends on members of the group noticing the needs of others and responding.

How Tall?
problem
Favourite

How Tall?

Age
5 to 11
Challenge level
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A group of children are discussing the height of a tall tree. How would you go about finding out its height?

Fraction Match
problem
Favourite

Fraction Match

Age
5 to 11
Challenge level
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A task which depends on members of the group noticing the needs of others and responding.

Birthday Sharing
problem
Favourite

Birthday Sharing

Age
5 to 7
Challenge level
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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?
Sticky Data
problem
Favourite

Sticky Data

Age
5 to 7
Challenge level
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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?'.
Tables Teaser
problem
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Tables Teaser

Age
5 to 7
Challenge level
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How will you work out which numbers have been used to create this multiplication square?
Biscuit Decorations
problem
Favourite

Biscuit Decorations

Age
5 to 7
Challenge level
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Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?
If the World Were a Village
problem
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If the World Were a Village

Age
5 to 11
Challenge level
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This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?

Digit Addition
problem
Favourite

Digit Addition

Age
5 to 11
Challenge level
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Try out this number trick. What happens with different starting numbers? What do you notice?

Domino Sorting
problem
Favourite

Domino Sorting

Age
5 to 7
Challenge level
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Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?
I Like ...
problem
Favourite

I Like ...

Age
5 to 7
Challenge level
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Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
Next Domino
problem
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Next Domino

Age
5 to 7
Challenge level
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Which comes next in each pattern of dominoes?
Ordering cards
problem
Favourite

Ordering cards

Age
5 to 11
Challenge level
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This problem is designed to help children to learn, and to use, the two and three times tables.
How Many?
problem
Favourite

How Many?

Age
5 to 11
Challenge level
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Have a look at these photos of different fruit. How many do you see? How did you count?
Thirsty?
problem
Favourite

Thirsty?

Age
5 to 7
Challenge level
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Can you lay out the pictures of the drinks in the way described by the clue cards?

One Big Triangle
problem
Favourite

One Big Triangle

Age
5 to 7
Challenge level
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Make one big triangle so the numbers that touch on the small triangles add to 10.

That number square
problem
Favourite

That number square

Age
5 to 11
Challenge level
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Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?
Fruity Pairs
problem
Favourite

Fruity Pairs

Age
5 to 7
Challenge level
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Which two items of fruit could Kate and Sam choose? Can you order the prices from lowest to highest?

Growing Garlic
problem
Favourite

Growing Garlic

Age
5 to 11
Challenge level
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Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

Secret Number
problem
Favourite

Secret Number

Age
5 to 7
Challenge level
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Annie and Ben are playing a game with a calculator. What was Annie's secret number?
Making Sticks
problem
Favourite

Making Sticks

Age
5 to 7
Challenge level
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Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?
Overlaps
problem
Favourite

Overlaps

Age
5 to 7
Challenge level
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What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.

Birthday Cakes
problem
Favourite

Birthday Cakes

Age
5 to 7
Challenge level
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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?
Hundred Square
problem
Favourite

Hundred Square

Age
5 to 11
Challenge level
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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
problem
Favourite

Ring a Ring of Numbers

Age
5 to 7
Challenge level
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Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Jumping squares
problem
Favourite

Jumping squares

Age
5 to 7
Challenge level
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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.
Five Coins
problem
Favourite

Five Coins

Age
5 to 11
Challenge level
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Ben has five coins in his pocket. How much money might he have?
6 Beads
problem
Favourite

6 Beads

Age
5 to 7
Challenge level
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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?

Skeleton Shapes
problem
Favourite

Skeleton Shapes

Age
5 to 7
Challenge level
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How many balls of modelling clay and how many straws does it take to make these skeleton shapes?

Wallpaper
problem
Favourite

Wallpaper

Age
5 to 7
Challenge level
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These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?

Colouring Triangles
problem
Favourite

Colouring Triangles

Age
5 to 7
Challenge level
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Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

Chain of Changes
problem
Favourite

Chain of Changes

Age
5 to 7
Challenge level
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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
problem
Favourite

The Puzzling Sweet Shop

Age
5 to 11
Challenge level
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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?
Grouping Goodies
problem
Favourite

Grouping Goodies

Age
5 to 7
Challenge level
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Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

Cubes Cut into Four Pieces
problem
Favourite

Cubes Cut into Four Pieces

Age
5 to 7
Challenge level
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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
problem
Favourite

Stop the Clock

Age
5 to 7
Challenge level
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This is a game for two players. Can you find out how to be the first to get to 12 o'clock?

The Tall Tower
problem
Favourite

The Tall Tower

Age
5 to 7
Challenge level
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As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?
4 Dom
problem
Favourite

4 Dom

Age
5 to 11
Challenge level
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Use these four dominoes to make a square that has the same number of dots on each side.
Compare the Calculations
problem
Favourite

Compare the Calculations

Age
7 to 11
Challenge level
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Can you put these four calculations into order of difficulty? How did you decide?
Stick images
problem
Favourite

Stick images

Age
7 to 14
Challenge level
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This task requires learners to explain and help others, asking and answering questions.

Let us divide!
problem
Favourite

Let us divide!

Age
7 to 11
Challenge level
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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?
Trebling
problem
Favourite

Trebling

Age
7 to 11
Challenge level
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Can you replace the letters with numbers? Is there only one solution in each case?
Guess What?
problem
Favourite

Guess What?

Age
7 to 11
Challenge level
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Can you find out which 3D shape your partner has chosen before they work out your shape?
Shape Times Shape
problem
Favourite

Shape Times Shape

Age
7 to 11
Challenge level
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These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?
What shape?
problem
Favourite

What shape?

Age
7 to 14
Challenge level
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This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.
The Deca Tree
problem
Favourite

The Deca Tree

Age
7 to 11
Challenge level
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Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.
Fractional Triangles
problem
Favourite

Fractional Triangles

Age
7 to 11
Challenge level
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Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

Seeing Parallelograms
problem
Favourite

Seeing Parallelograms

Age
7 to 11
Challenge level
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Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

First Connect Three
problem
Favourite

First Connect Three

Age
7 to 11
Challenge level
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Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?
Highest and Lowest
problem
Favourite

Highest and Lowest

Age
7 to 11
Challenge level
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Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
Shape Draw
problem
Favourite

Shape Draw

Age
7 to 11
Challenge level
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Use the information on these cards to draw the shape that is being described.

Magic Vs
problem
Favourite

Magic Vs

Age
7 to 11
Challenge level
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Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Factors and Multiples Game
game
Favourite

Factors and Multiples Game

A game in which players take it in turns to choose a number. Can you block your opponent?

How Big Are Classes 5, 6 and 7?
problem
Favourite

How Big Are Classes 5, 6 and 7?

Age
7 to 11
Challenge level
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Use the two sets of data to find out how many children there are in Classes 5, 6 and 7.