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Mathematical Puzzles


Difficulty: MediumPuzzle 1

Puzzle IconI recently travelled from my home town to a distant music concert, on a pedal tricycle of all things! My wonderful, three wheeled tricycle.

I knew that the epic 2,345 mile trip would wreak havoc on the tyres, but luckily I took along 4 spares!

Instead of waiting for any single tyre to fail, I decided that I would rotate the tyres evenly, making sure that by the end of the trip all seven tyres had travelled exactly the same distance.

What was the distance that each tyre travelled?

[Puzzle Code = ZDFX] Copyright © Kevin Stone

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Direct Link: www.brainbashers.com?ZDFX


Difficulty: EasyPuzzle 2

Puzzle IconCan you find a number such that...

...its double is fourteen more than its quarter?

[Puzzle Code = ZZMR] Copyright © Kevin Stone

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Direct Link: www.brainbashers.com?ZZMR


Difficulty: MediumPuzzle 3

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?

[Puzzle Code = ZNWV] Copyright © Kevin Stone

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Direct Link: www.brainbashers.com?ZNWV


Difficulty: MediumPuzzle 4

Puzzle IconDuring a recent BrainBashers thinking contest, the total number of points scored by the first six players was 103 and every score was above zero.

The first player scored half the points of the second player, who in turn scored 6 points fewer than the third player.

The third player in turn scored two thirds the points of the fourth player.

The fifth player managed to score the same number of points as the difference between the first and fourth player's points.

Finally, the sixth player scored 14 fewer than the fifth player.

Can you determine how many points the sixth player managed to score?

[Puzzle Code = ZRIL] Copyright © Kevin Stone

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Direct Link: www.brainbashers.com?ZRIL

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