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Mathematical Puzzles


Difficulty: MediumPuzzle 53

Last week, I travelled from London to Stoke.

On the first day I travelled one half of the distance.

On day two, I travelled one third of the remaining distance.

On day three, I travelled three quarters of the remaining distance.

Yesterday I travelled one half of the remaining distance.

I now have 5 miles left to travel.

How far is it from Stoke to London in total?

Puzzle Image

[Ref: ZRBH] © Kevin Stone

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Difficulty: EasyPuzzle 54

Puzzle IconThree countrymen met at a cattle market. "Look here," said Hodge to Jakes, "I'll give you six of my pigs for one of your horses, and then you'll have twice as many animals here as I've got."

"If that's your way of doing business," said Durrant to Hodge, "I'll give you fourteen of my sheep for a horse, and then you'll have three times as many animals as I."

"Well, I'll go better than that," said Jakes to Durrant; "I'll give you four cows for a horse, and then you'll have six times as many animals as I've got here."

No doubt this was a very primitive way of bartering animals, but it is an interesting little puzzle to discover just how many animals Jakes, Hodge, and Durrant must have taken to the cattle market.

[Ref: ZUCK] At A Cattle Market. Amusements In Mathematics by Henry Ernest Dudeney (1917).

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Difficulty: EasyPuzzle 55

Some months have 30 days, some have 31, but how many have 28 days?

[Ref: ZJCL]

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Difficulty: EasyPuzzle 56

Puzzle IconMy BrainBashers electronic world atlas has developed a fault, I did a listing of miles from England to particular countries and here is the result:

America      1,800 miles
New Zealand  2,400 miles
Japan        1,200 miles
Brazil       1,400 miles

How far away did it list Argentina as?

[Ref: ZEXF] © Kevin Stone

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