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Mathematical Puzzles


Difficulty: MediumPuzzle 1

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?

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[Ref: ZRIL] © Kevin Stone 


Difficulty: MediumPuzzle 2

Puzzle IconDuring the recent BrainBashers football competition, 5 schools were competing.

Each school played each other once, with 2 points for a win, 1 point for a draw, 0 points if they lost.

Here are the final points after all of the matches:

Longton     6
Fenton      5
Blurton     4
Hulton      2

Fulton      ==?==

How many points did Fulton end the season with?

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[Ref: ZBIL] © Kevin Stone 


Difficulty: MediumPuzzle 3

Puzzle IconAt a recent visit to the reptile house at the local zoo, I counted a total of 27 heads and 70 feet.

I was counting snakes, lizards and people and I know that there were exactly twice as many lizards as people.

How many snakes did I count?

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[Ref: ZLHO] © Kevin Stone 


Difficulty: MediumPuzzle 4

Puzzle IconA man drove from Aardvark to Beeville.

On the first day he travelled 1/3 of the distance.

On day two he travelled 1/2 of the remaining distance.

On day three he travelled 2/3 of the remaining distance.

On day four, after covering 3/4 of the remaining distance, he was still 5 miles away from Beeville.

How many miles had he covered so far?

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[Ref: ZNKP] © Kevin Stone 

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