Prime numbers

problem
Favourite

Em'power'ed

Age

16 to 18

Challenge level

2 out of 3

Find the smallest numbers a, b, and c such that: a^2 = 2b^3 = 3c^5 What can you say about other solutions to this problem?
problem
Favourite

Fac-Finding

Age

14 to 16

Challenge level

2 out of 3

Lyndon chose this as one of his favourite problems. It is accessible but needs some careful analysis of what is included and what is not. A systematic approach is really helpful.
game
Favourite

Dicey Array

Age

5 to 11

Challenge level

1 out of 3

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

Statement Snap

Age

7 to 11

Challenge level

1 out of 3

You'll need to know your number properties to win a game of Statement Snap...
problem
Favourite

Round and Round the Circle

Age

7 to 11

Challenge level

2 out of 3

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.
problem
Favourite

Two Primes Make One Square

Age

7 to 11

Challenge level

2 out of 3

Can you make square numbers by adding two prime numbers together?
problem
Favourite

Factor Lines

Age

7 to 14

Challenge level

2 out of 3

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
game
Favourite

Factors and Multiples Game

Age

7 to 16

Challenge level

1 out of 3

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

Xavi's T-Shirt

Age

7 to 16

Challenge level

1 out of 3

How much can you read into a T-shirt?
problem
Favourite

How Much Can We Spend?

Age

11 to 14

Challenge level

1 out of 3

A country has decided to have just two different coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?