Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?
Take a look at the video of this trick. Can you perform it yourself? Why is this maths and not magic?
Can you follow the rule to decode the messages?
A game for two people, who take turns to move the counters. The player to remove the last counter from the board wins.
A standard die has the numbers 1, 2 and 3 are opposite 6, 5 and 4 respectively so that opposite faces add to 7? If you make standard dice by writing 1, 2, 3, 4, 5, 6 on blank cubes you will find there are 2 and only 2 different standard dice. Can you prove this ?
How many ways can you write the word EUROMATHS by starting at the top left hand corner and taking the next letter by stepping one step down or one step to the right in a 5×5 array?
In how many ways can you give change for a ten pence piece?
Weekly Problem 21 - 2011
How many ways can you paint this wall with four different colours?
Given a 2 by 2 by 2 skeletal cube with one route 'down' the cube. How many routes are there from A to B?
