![Statement Snap](/sites/default/files/styles/medium/public/thumbnails/content-id-13349-icon.jpg?itok=7K9O6S51)
problem
Statement Snap
You'll need to know your number properties to win a game of Statement Snap...
![Xavi's T-shirt](/sites/default/files/styles/medium/public/thumbnails/content-id-15208-icon.png?itok=p09ReWyq)
![Dozens](/sites/default/files/styles/medium/public/thumbnails/content-98-03-six2-icon.png?itok=NzwxPabC)
![American Billions](/sites/default/files/styles/medium/public/thumbnails/content-01-09-six5-icon.png?itok=jytZpqxV)
problem
American Billions
Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...
![Factors and Multiples Puzzle](/sites/default/files/styles/medium/public/thumbnails/content-id-5448-icon.png?itok=OmzhsOJB)
problem
Factors and Multiples Puzzle
Using your knowledge of the properties of numbers, can you fill all the squares on the board?
![Multiples Sudoku](/sites/default/files/styles/medium/public/thumbnails/content-id-6434-icon.jpg?itok=vjNndu-o)
problem
Multiples Sudoku
Each clue in this Sudoku is the product of the two numbers in adjacent cells.
![How much can we spend?](/sites/default/files/styles/medium/public/thumbnails/content-id-6650-icon.png?itok=VYEcWe-l)
problem
How much can we spend?
A country has decided to have just two different coins, 3z and 5z
coins. Which totals can be made? Is there a largest total that
cannot be made? How do you know?
![Diminishing Returns](/sites/default/files/styles/medium/public/thumbnails/content-id-6700-icon.jpg?itok=z1TjlH_Y)
![Sieve of Eratosthenes](/sites/default/files/styles/medium/public/thumbnails/content-id-7520-icon.jpg?itok=Lg5WVm6M)
problem
Sieve of Eratosthenes
Follow this recipe for sieving numbers and see what interesting patterns emerge.
![Multiple Surprises](/sites/default/files/styles/medium/public/thumbnails/content-id-11173-icon.jpg?itok=djf7nIS-)
![Gabriel's Problem](/sites/default/files/styles/medium/public/thumbnails/content-id-11750-icon.jpg?itok=c8u3deFa)
problem
Gabriel's Problem
Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?
![Number Families](/sites/default/files/styles/medium/public/thumbnails/content-id-13123-icon.gif?itok=ed1FCHak)
![Counting Factors](/sites/default/files/styles/medium/public/thumbnails/content-97-01-six1-icon.jpg?itok=k7J5c7_5)
![Funny Factorisation](/sites/default/files/styles/medium/public/thumbnails/content-00-11-six3-icon.gif?itok=zt8Xv1W-)
problem
Funny Factorisation
Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?
![Take Three From Five](/sites/default/files/styles/medium/public/thumbnails/content-03-10-six3-icon.png?itok=W75fA1WM)
problem
Take Three From Five
Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?
![Stars](/sites/default/files/styles/medium/public/thumbnails/content-id-2669-icon.png?itok=Ez9pJPne)
problem
Stars
Can you work out what step size to take to ensure you visit all the dots on the circle?
![Product Sudoku](/sites/default/files/styles/medium/public/thumbnails/content-id-4903-icon.png?itok=VQGPrcYI)
problem
Product Sudoku
The clues for this Sudoku are the product of the numbers in adjacent squares.
![Route to infinity](/sites/default/files/styles/medium/public/thumbnails/content-id-5469-icon.png?itok=277vYUz4)
problem
Route to infinity
Can you describe this route to infinity? Where will the arrows take you next?
![Power mad!](/sites/default/files/styles/medium/public/thumbnails/content-id-6401-icon.png?itok=Ukk2Xjef)
problem
Power mad!
Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
![Alison's quilt](/sites/default/files/styles/medium/public/thumbnails/content-id-13124-icon.jpg?itok=xvW7A0Sr)
problem
Alison's quilt
Nine squares are fitted together to form a rectangle. Can you find its dimensions?
![Differences](/sites/default/files/styles/medium/public/thumbnails/content-98-10-six3-icon.png?itok=o6pNw4ut)
problem
Differences
Can you guarantee that, for any three numbers you choose, the product of their differences will always be an even number?
![Shopping Basket](/sites/default/files/styles/medium/public/thumbnails/content-02-10-penta4-icon.png?itok=cTyuXPEt)
problem
Shopping Basket
The items in the shopping basket add and multiply to give the same amount. What could their prices be?
![Beelines](/sites/default/files/styles/medium/public/thumbnails/content-00-10-six6-icon.jpg?itok=VVPPDKn0)
problem
Beelines
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
![Expenses](/sites/default/files/styles/medium/public/thumbnails/content-98-07-six1-icon.jpg?itok=60jOPJ5-)
problem
Expenses
What is the largest number which, when divided into 1905, 2587, 3951, 7020 and 8725 in turn, leaves the same remainder each time?
![LCM Sudoku](/sites/default/files/styles/medium/public/thumbnails/content-id-6018-icon.png?itok=13KoiSYP)
problem
LCM Sudoku
Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.
![Filling the gaps](/sites/default/files/styles/medium/public/thumbnails/content-id-7547-icon.jpg?itok=uv8vhGZ6)
![Latin Numbers](/sites/default/files/styles/medium/public/thumbnails/content-02-09-15plus4-icon.png?itok=Ui3_Xa50)
Image
![Factors and Multiples STEM footer Factors and Multiples STEM footer](/sites/default/files/styles/large/public/thumbnails/content-id-13464-STEMlogo.png?itok=IOZD6WEF)
You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.