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Mathematical Puzzles


Difficulty: EasyPuzzle 1

Puzzle IconThree teachers were discussing how long they had been teaching.

Adrian and Betty had been teaching for a total of 36 years.

Charles and Betty had been teaching for a total of 22 years.

Charles and Adrian had been teaching for a total of 28 years.

How long had each been teaching?

[Ref: ZKLD] © Kevin Stone

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Difficulty: MediumPuzzle 2

Puzzle IconTommy: "How old are you, Mamma?"

Mamma: "Let me think, Tommy. Well, our three ages add up to exactly seventy years."

Tommy: "That's a lot, isn't it? And how old are you, Papa?"

Papa: "Just six times as old as you, my son."

Tommy: "Shall I ever be half as old as you, Papa?"

Papa: "Yes, Tommy; and when that happens our three ages will add up to exactly twice as much as to-day."

Tommy: "And supposing I was born before you, Papa; and supposing Mamma had forgot all about it, and hadn't been at home when I came; and supposing..."

Mamma: "Supposing, Tommy, we talk about bed. Come along, darling. You'll have a headache."

Now, if Tommy had been some years older he might have calculated the exact ages of his parents from the information they had given him. Can you find out the exact age of Mamma?

[Ref: ZPYU] Mamma's Age. Amusements In Mathematics by Henry Ernest Dudeney (1917).

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Difficulty: EasyPuzzle 3

Puzzle IconWhat number is...

...three quarters of eight ninths of one half of 2001?

[Ref: ZRTD] © Kevin Stone

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Difficulty: EasyPuzzle 4

Puzzle IconMany years ago, a cruise liner sank in the middle of the Atlantic Ocean. The survivors luckily landed on a remote desert island.

There was enough food for the 135 people to last four weeks.

Nine days later a rescue ship appeared, unluckily this ship also sank, leaving an additional 36 people stranded on the island to now share the original rationed food.

The food obviously had to be re-rationed, everyone was now on three-quarters of the original ration, so how many days in total would the food last, from the day of the original sinking?

[Ref: ZJLO] © Kevin Stone

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