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Mathematical Puzzles 



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Puzzle 21 



My local bus company has recently expanded and no longer has enough room inside its garage for all of its buses.

Twelve of their buses have to be stored outside.

If they decide to increase their garage space by 40% they will have 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?

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Puzzle 22 



Within the BrainBashers school, the science department has three disciplines.

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

In total, 97 students study chemistry and physics, 138 students study physics and biology, and 152 students study chemistry and biology.

73 students study all three disciplines.

Can you determine how many students there are in the science department? The answer is not 814.

Puzzle Copyright © Kevin Stone

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Puzzle 23 



In the following sum, the digits 0 to 9 have all been used.

O = Odd, E = Even (zero is even).

The top row's digits add to 9.

Can you determine each digit?

EEO + EOO = OEOE

Puzzle Copyright © Kevin Stone

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Puzzle 24 



A large freshwater reservoir has two types of drainage system. Small pipes and large pipes.

6 large pipes, on their own, can drain the reservoir in 12 hours.

6 small pipes, on their own, can drain the reservoir in 18 hours.

How long will 6 large pipes and 6 small pipes take to drain the reservoir?

Puzzle Copyright © Kevin Stone

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