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Mathematical Puzzles


Difficulty: MediumPuzzle 1

Puzzle IconMy local library decided to hand out some of its old books to the 1,400 people who lived in the town.

To each library member they offered 6 books, and to each non-member they offered 4 books.

If only half of the members, and three quarters of the non-members, accepted the books, how many books were given away?

[Ref: ZNXG] © Kevin Stone

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Difficulty: MediumPuzzle 2

Here is a curious grid, the sums of the shapes are shown at the end the row and at the base of each column.

What is the missing sum? What are the different shapes worth?

Puzzle Grid

[Ref: ZJFC] © Kevin Stone

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Difficulty: EasyPuzzle 3

Puzzle IconLast week, I travelled from Birmingham to Glasgow (via bicycle).

On the first day I travelled one quarter of the distance.

On day two, I travelled one half of the remaining distance.

On day three, I travelled three quarters of the remaining distance.

Yesterday I travelled one third of the remaining distance.

I now have 21 miles left to travel.

How far is it from Birmingham to Glasgow in total?

[Ref: ZZVA] © Kevin Stone

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Difficulty: MediumPuzzle 4

Puzzle IconLast week I travelled from London to Leeds, which is a distance of 174 miles.

I started at 9.15am and completed the journey with an average speed of 40 miles per hour.

On the way back, in the evening, I travelled exactly the same route, starting at 5.15pm. The traffic was light and I completed the journey with an average speed of 60 miles per hour.

What was the overall average speed for round trip?

The answer is not 50 mph.

[Ref: ZTAH] © Kevin Stone

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