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Archive for June, 2011

Walkies

Posted by Chris under Logic, Mathemagic, MathsChallenge (45 Responds)

A boy, a girl and a dog go for a 10 mile walk. The boy and girl can walk at 2 mph and the dog can trot at 4 mph. They also have a bicycle which only one of them including the dog (it used to work in a circus, OK) can use at a [...]

Russian roulette

Posted by Chris under MathsChallenge (32 Responds)

You are in a game of Russian roulette (sorry about that). The gun has six chambers, and three in a row contain a bullet (the other three chambers are empty). The barrel is spun once before playing. Each of the two players points the gun at his own head and pulls the trigger. If the [...]

Bug walk

Posted by Chris under Mathemagic, MathsChallenge (24 Responds)

Four bugs are at the four corners of a square of side length D. They start walking at constant speed in an anticlockwise direction at all times directly towards the bug ahead of them.
How far does each bug walk before they meet with each other?

Sharing marbles

Posted by Chris under Mathemagic (9 Responds)

A group of children share marbles from a bag. The first child takes one marble and a tenth of the remainder. The second child takes two marbles and a tenth of the remainder. The third child takes three marbles and a tenth of the remainder. And so on until the last child takes whatever is [...]

A Circle in a Square.

Posted by Karl Sharman under Tom (11 Responds)

I hope this works….
The rectangle at the corner measures 1 cm x 2 cm. What is the radius of the circle in cm?

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Smallest number

Posted by Chris under MathsChallenge (8 Responds)

What is the smallest number that when you divide it by 2,3,4,5 and 6 will have remainders 1, 2, 3, 4 and 5 respectively?

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