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Mathematical Puzzles 



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Puzzle 53 



Each empty white square in the grid contains one of the numbers 1, 2, 3,..., 8. Each of the horizontal and vertical equations must be true, and each number must be used exactly once.

Puzzle Copyright © Erich Friedman

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Puzzle 54 



Many years ago, a cruise liner sank in the middle of the ocean.

The castaways 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?

Puzzle Copyright © Kevin Stone

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Puzzle 55 



This year, Farmer Stone's harvest of apples was quite significant.

He decided to donate some of the apples to the local community, 1,672 people in all.

Every person aged 50 or more received 16 apples, and every person under 50 received 96 apples.

Only 3/4 of the over 50s collected their apples, and only 1/8 of the under 50s collected theirs.

How many apples did the farmer give away?

Puzzle Copyright © Kevin Stone

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Puzzle 56 



What is the 20th prime number?

2, 3, 5, 7, ...

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