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Maths Puzzles

Difficulty: Easy4 Star RatingPuzzle 1

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 2

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 3

What does this equation simplify to?

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

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 [Ref: ZTDR]

Difficulty: Medium4 Star RatingPuzzle 4

We have been quite lucky with the weather recently, it has got steadily warmer each day, over the last five days. By this, I mean that the temperature rose by the same amount each day. The average temperature was 2 degrees C and I know it froze on two occasions. I also know the product of the temperatures was over 500 degrees but below 2,000 degrees and each temperature was an integer. What were the last 5 temperatures?

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

Difficulty: Easy4 Star RatingPuzzle 5

Within the BrainBashers school, the science department has three disciplines. In total, 280 students study chemistry, 254 students study physics and 280 students study biology. 97 students study both chemistry and physics, 138 students study both physics and biology, 152 students study both chemistry and biology. 73 students study all three disciplines. Can you determine how many students there are in the science department? The answer is well below 814.

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

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