Puzzle 1
Last week, I travelled from London to Stoke.
On the first day, I travelled one half of the distance.
On day two, I travelled one third of the remaining distance.
On day three, I travelled three quarters of the remaining distance.
Yesterday I travelled one half of the remaining distance.
I now have 5 miles left to travel.
How far is it from Stoke to London in total?
Puzzle Copyright © Kevin Stone
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Puzzle 2
I am compiling the BrainBashers world almanac and it now contains quite a few pages. But just how many?
I know that it takes 121 digits to print all of the page numbers in sequence.
So, how many numbered pages does the book have, and how many times does the number 9 appear?
Puzzle Copyright © Kevin Stone
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Puzzle 3
The local CD shop operates an unusual discount policy. The discount on the next purchase is worked out on the current purchase in the following way: for every whole pound spent you get 0.5% discount on the next purchase. For example, if you purchased £8.99 on the first purchase, you would then get a 4% discount on the next purchase and so on. You can make as many purchases as necessary.
You need to buy 7 CDs, costing, £11.50, £12.00, £12.00, £12.50, £13.00, £13.00 and £14.50. What is the cheapest method of buying them?
Puzzle Copyright © Kevin Stone
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Puzzle 4
What number comes next in this sequence:
16 21 26 26 12 5 ?
Puzzle Copyright © Kevin Stone
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