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Maths Puzzle

Difficulty: Easy4 Star RatingPuzzle 1

Yesterday my mother asked me to buy some stamps. Stamps, in the land of BrainBashers, are available in 2p, 7p, 10p, 15p and 20p denominations. For three types of stamp I was asked to buy five of each. For the other two types of stamp, I was asked to buy six of each. Unfortunately I forgot which I was supposed to buy five of and which to buy six of. Luckily my mother had given me the exact money required to buy the stamps, £3.00 and the shopkeeper was able to give me the correct stamps. Which stamps did I buy?

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 [Ref: ZOKI] © Kevin Stone [Protected Puzzle]

Difficulty: Easy4 Star RatingPuzzle 2

At midnight on Sunday, December 31st, Professor Stone set two of his analogue clocks to the correct time. One of his clocks gains one minute every hour and the other loses two minutes every hour.

1. When will the clocks next show the same time as each other?
2. When will the clocks both show the correct time?

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 [Ref: ZDJB] © Kevin Stone [Protected Puzzle]

Difficulty: Easy4 Star RatingPuzzle 3

My BrainBashers electronic world atlas has developed a fault, I did a listing of miles from England to particular countries and here is the result:

Spain     14,000 miles
Fiji      12,000 miles
Germany   18,000 miles
Brazil    16,000 miles

How far away did it list Iceland as?

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 [Ref: ZZKL] © Kevin Stone [Protected Puzzle]

Difficulty: Medium4 Star RatingPuzzle 4

A long train, half a kilometre long, is about to enter a long tunnel. The tunnel is 10k long. If the speed of the train is 35kph, how long will it take for the entire train to pass through the tunnel - from the front of the train entering to the end of the train leaving the tunnel?

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 [Ref: ZRWF]

Difficulty: Medium4 Star RatingPuzzle 5

What does this equation simplify to?

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

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 [Ref: ZTDR]

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