Counting
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problemSlippery Snail
A game for two people, who take turns to move the counters. The player to remove the last counter from the board wins.
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problemHow Many Dice?
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 ?
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problemEuromaths
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?
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problemColourful Tiles
Weekly Problem 21 - 2011
How many ways can you paint this wall with four different colours? -
problemCube Paths
Given a 2 by 2 by 2 skeletal cube with one route 'down' the cube. How many routes are there from A to B?
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problemPairs
Ann thought of 5 numbers and told Bob all the sums that could be made by adding the numbers in pairs. The list of sums is 6, 7, 8, 8, 9, 9, 10,10, 11, 12. Help Bob to find out which numbers Ann was thinking of.
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problemBack to the Planet of Vuvv
There are two forms of counting on Vuvv - Zias count in base 3 and Zepts count in base 7. Can you work out in which direction the Zias and Zepts were looking, based on the information you're given?