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Mathematical Puzzles


Difficulty: EasyPuzzle 21

Puzzle IconAt dawn on Monday a snail fell into a bucket that was 12 inches deep.

During the day it climbed up 3 inches, however, during the night it fell back 2 inches.

On what day did the snail finally manage to climb out of the bucket?

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[Ref: ZQGM]  


Difficulty: MediumPuzzle 22

Puzzle IconA farmer was asked how many chickens he had sold at market that day.

His reply was:

"I've had four customers today, and each bought half of my remaining chickens, plus a half chicken."

The farmer sold all of his chickens at market that day. How many chickens did the farmer sell?

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[Ref: ZVAK] © Kevin Stone 


Difficulty: MediumPuzzle 23

Puzzle IconI am compiling the new BrainBashers world almanac and it now contains lots more pages.

I know that it takes 333 digits to print the page numbers in sequence.

How many numbered pages does the book have and how many times does the number 3 appear?

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[Ref: ZNWV] © Kevin Stone 


Difficulty: EasyPuzzle 24

Puzzle IconMany years ago, a cruise liner sank in the middle of the Pacific Ocean.

The survivors luckily landed on a remote desert island.

There was enough food for the 220 people to last three weeks.

Six days later a rescue ship appeared, unluckily this ship also sank, leaving an additional 55 people stranded on the island to now share the original rationed food.

The food obviously had to be re-rationed, but everyone was now on one-half of the original ration, so how many days in total would the food last for, from the day of the original sinking?

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[Ref: ZNSV] © Kevin Stone 

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