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Mathematical Puzzles


Difficulty: MediumPuzzle 1

Puzzle IconMy local bus company has recently expanded and no longer has enough room for all of its buses.

Twelve of their buses have to be stored outside.

If they decide to increase their garage space by 40%, this will give them enough room for all of their current buses, plus enough room to store another twelve in the future.

How many buses does the company currently own?

[Ref: ZWOL] © Kevin Stone

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Direct Link: www.brainbashers.com?ZWOL


Difficulty: EasyPuzzle 2

Puzzle IconWithin the BrainBashers school, the science department has three disciplines.

In total, 280 students study chemistry, 254 students study physics and 280 students study biology.

97 students study both chemistry and physics, 138 students study both physics and biology, 152 students study both chemistry and biology.

73 students study all three disciplines.

Can you determine how many students there are in the science department? The answer is well below 814.

[Ref: ZZYU] © Kevin Stone

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Direct Link: www.brainbashers.com?ZZYU


Difficulty: EasyPuzzle 3

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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Direct Link: www.brainbashers.com?ZUCK


Difficulty: MediumPuzzle 4

In the following sum the digits 0 to 9 have all been used, O = Odd, E = Even, zero is even and the top row's digits add to 9. Can you determine each digit?

Puzzle Image

[Ref: ZVZB] © Kevin Stone

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Direct Link: www.brainbashers.com?ZVZB

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