List

Being curious - Primary number

Domino Sorting
problem

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?

Strike it out
problem

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.

Count The Digits
problem

Count the digits

Age
5 to 11
Challenge level
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In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?

Dotty Six
problem

Dotty six

Age
5 to 11
Challenge level
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Dotty Six is a simple dice game that you can adapt in many ways.

Dicey Array
game
Favourite

Dicey array

Age
5 to 11
Challenge level
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Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?

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?

All Change
problem

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?

problem

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?

Magnifying glass
problem

Number detective

Age
5 to 11
Challenge level
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Follow the clues to find the mystery number.

Eightness of Eight
problem

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?
Digit Addition
problem

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?

Subtraction Slip
problem

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?

Halving
problem

Halving

Age
5 to 7
Challenge level
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These pictures show squares split into halves. Can you find other ways?

problem

Ladybirds in the garden

Age
5 to 7
Challenge level
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In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?

Make 37 Poster
problem

Make 37

Age
5 to 11
Challenge level
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Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?

Ring a Ring of Numbers
problem

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.

Light the Lights
problem

Light the lights

Age
5 to 7
Challenge level
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Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

What's in a name?
problem

What's in a name?

Age
5 to 7
Challenge level
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Here's a very elementary code that requires young children to read a table, and look for similarities and differences.

The Brown Family
problem

The Brown family

Age
5 to 7
Challenge level
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Use the information about Sally and her brother to find out how many children there are in the Brown family.

Lots of Lollies
problem

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?

More Numbers in the Ring
problem

More numbers in the ring

Age
5 to 7
Challenge level
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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?
4 by 4 Mathdokus
problem

4 by 4 Mathdokus

Age
7 to 14
Challenge level
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Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

Xavi's T-shirt
problem

Xavi's T-shirt

Age
7 to 16
Challenge level
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How much can you read into a T-shirt?

Dicey Operations
game
Favourite

More Dicey operations

Age
7 to 14
Challenge level
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In these multiplication and division games, you'll need to think strategically to get closest to the target.

Number Differences
problem

Number differences

Age
7 to 11
Challenge level
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Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
Coded hundred square
problem

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

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...

Three Dice
problem

Three dice

Age
7 to 11
Challenge level
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Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?

Follow the numbers
problem

Follow the numbers

Age
7 to 11
Challenge level
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What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

Dicey Operations
game
Favourite

Dicey operations

Age
7 to 14
Challenge level
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In these addition and subtraction games, you'll need to think strategically to get closest to the target.

Bryony's Triangle
problem

Bryony's triangle

Age
7 to 11
Challenge level
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Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

Consecutive Numbers
problem

Consecutive numbers

Age
7 to 14
Challenge level
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An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Subtraction Surprise
problem

Subtraction surprise

Age
7 to 14
Challenge level
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Try out some calculations. Are you surprised by the results?
Statement Snap
problem

Statement snap

Age
7 to 14
Challenge level
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You'll need to know your number properties to win a game of Statement Snap...

Which Scripts?
problem

Which scripts?

Age
7 to 11
Challenge level
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There are six numbers written in five different scripts. Can you sort out which is which?

Tumbling Down
problem

Tumbling down

Age
7 to 11
Challenge level
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Watch this animation. What do you see? Can you explain why this happens?

problem

Abundant numbers

Age
7 to 11
Challenge level
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48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?

Twenty Divided into Six
problem

Twenty divided into six

Age
7 to 11
Challenge level
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Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

Table patterns go wild!
problem

Table patterns go wild!

Age
7 to 11
Challenge level
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Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

problem

Counting cogs

Age
7 to 14
Challenge level
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Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

Light the Lights Again
problem

Light the lights again

Age
7 to 11
Challenge level
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Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you work out the rule for each light?

Pebbles
problem

Pebbles

Age
7 to 11
Challenge level
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Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

Three neighbours
problem

Three neighbours

Age
7 to 14
Challenge level
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Take three consecutive numbers and add them together. What do you notice?

problem

Round and round the circle

Age
7 to 11
Challenge level
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What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

Amy's Dominoes
problem

Amy's dominoes

Age
7 to 11
Challenge level
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Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

Curious number
problem

Curious number

Age
7 to 11
Challenge level
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Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?