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Mathematical Puzzles


Difficulty: EasyPuzzle 1

Puzzle IconMy current age, is the age of my brother (who is 14), plus one third of my age.

How old will I be when my brother is twice his current age?

[Ref: ZNTH] © Kevin Stone

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Difficulty: EasyPuzzle 2

Starting in the bottom left corner and moving either up or right adding up the numbers along the way, what is the largest sum you can make?

Puzzle Image

[Ref: ZQIO] © Kevin Stone

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Difficulty: EasyPuzzle 3

Puzzle IconYesterday I went for a short bicycle ride around the local lakes. As the weather was very hot, I rode in various stages.

In the first stage I rode half of the overall distance.

Stage two saw half of the remaining distance plus 35 metres covered.

Stage three covered three-quarters of the remaining distance.

Stage four completed half of the remaining distance plus 75 metres.

Stage five completed the journey with a final burst of 150 metres.

How far did I cycle in total?

[Ref: ZOFE] © Kevin Stone

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Difficulty: HardPuzzle 4

The Miller next took the company aside and showed them nine sacks of flour that were standing as depicted in the sketch.

"Now, hearken, all and some," said he, "while that I do set ye the riddle of the nine sacks of flour.

And mark ye, my lords and masters, that there be single sacks on the outside, pairs next unto them, and three together in the middle thereof.

By Saint Benedict, it doth so happen that if we do but multiply the pair, 28, by the single one, 7, the answer is 196, which is of a truth the number shown by the sacks in the middle.

Yet it be not true that the other pair, 34, when so multiplied by its neighbour, 5, will also make 196.

Wherefore I do beg you, gentle sirs, so to place anew the nine sacks with as little trouble as possible that each pair when thus multiplied by its single neighbour shall make the number in the middle."

As the Miller has stipulated in effect that as few bags as possible shall be moved, there is only one answer to this puzzle, which everybody should be able to solve.

Puzzle Image

[Ref: ZYIT] The Miller's Puzzle. The Canterbury Puzzles And Other Curious Problems by Henry Ernest Dudeney (1907).

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