List

Number Stage 3

Doing and undoing
problem
Favourite

Doing and undoing

Age
5 to 11
Challenge level
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An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting.

Count the Crayons
problem
Favourite

Count the crayons

Age
5 to 7
Challenge level
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How could you estimate the number of pencils/pens in these pictures?

problem
Favourite

Buzzy bee

Age
5 to 7
Challenge level
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Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?

Fair Feast
problem
Favourite

Fair feast

Age
5 to 11
Challenge level
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Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?

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.

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.

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?

Our Numbers
problem
Favourite

Our numbers

Age
5 to 7
Challenge level
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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?

Beads and bags
problem
Favourite

Beads and bags

Age
5 to 11
Challenge level
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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?
Largest Even
problem
Favourite

Largest even

Age
5 to 11
Challenge level
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How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

Domino Pick
problem
Favourite

Domino pick

Age
5 to 7
Challenge level
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Are these domino games fair? Can you explain why or why not?
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.

The Amazing Splitting Plant
problem
Favourite

The amazing splitting plant

Age
5 to 7
Challenge level
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Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?

Lots of Lollies
problem
Favourite

Lots of lollies

Age
5 to 7
Challenge level
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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?

problem
Favourite

Fifteen cards

Age
7 to 11
Challenge level
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Can you use the information to find out which cards I have used?

Journeying in Numberland
problem

Journeying in Numberland

Age
7 to 11
Challenge level
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Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

problem
Favourite

Sweets in a box

Age
7 to 11
Challenge level
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How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

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.

Super Shapes
problem
Favourite

Super shapes

Age
7 to 11
Challenge level
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The value of the circle changes in each of the following problems. Can you discover its value in each problem?

Number Tracks
problem

Number tracks

Age
7 to 11
Challenge level
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Ben's class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?
What Do you Need?
problem
Favourite

What do you need?

Age
7 to 11
Challenge level
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Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?

Coded hundred square
problem
Favourite

Coded hundred square

Age
7 to 11
Challenge level
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This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

Nice or Nasty
problem
Favourite

Nice or nasty

Age
7 to 11
Challenge level
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There are nasty versions of this dice game but we'll start with the nice ones...

Worms
problem

Worms

Age
7 to 11
Challenge level
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Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?
A Numbered Route
problem

A numbered route

Age
7 to 11
Challenge level
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Can you draw a continuous line through 16 numbers on this grid so that the total of the numbers you pass through is as high as possible?