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Mathematical Puzzles


Difficulty: MediumPuzzle 9

Puzzle IconWhat does this equation simplify to?

(x - a) * (x - b) * (x - c) * ... * (x - z) = ?

[Ref: ZTDR]

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Difficulty: EasyPuzzle 10

In the illustration we have a sketch of Sir Edwyn de Tudor going to rescue his love, who was held a captive by a neighbouring wicked baron.

Sir Edwyn calculated that if he rode at fifteen miles an hour he would arrive at the castle an hour too soon, while if he rode at ten miles an hour he would get there just an hour too late.

Now, it was of the first importance that he should arrive at the exact time appointed, in order that the rescue that he had planned should be a success, and the time of the tryst was five o'clock, when the captive would be taking afternoon tea.

The puzzle is to discover exactly how far Sir Edwyn de Tudor had to ride.

Sir Edwyn de Tudor

[Ref: ZBVT] Sir Edwyn De Tudor. From Amusements In Mathematics by Henry Ernest Dudeney (1917).

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Difficulty: MediumPuzzle 11

Puzzle IconA kind old gentleman decided to give 12 sweets to each of the girls in his town and 8 sweets to each of the boys.

Of the 612 children in his town, only half the girls and three quarters of the boys took the sweets.

How many sweets did the kind old gentleman have to buy?

[Ref: ZDTU] © Kevin Stone

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Difficulty: MediumPuzzle 12

Puzzle IconA large fresh water 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.

3 large pipes and 9 small pipes, at the same time, can drain the reservoir in 8 hours.

How long will 5 small pipes, on their own, take to drain the reservoir?

[Ref: ZHRT] © Kevin Stone

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