6. Matthew has a deck of 300 cards numbered 1 to 300. He takes cards
out of the deck one at a time, and places the selected cards in a row,
• To accommodate candidates sitting in other time
zones, please do not discuss the paper on the
with each new card added at the right end of the row. Matthew must
arrange that, at all times, the mean of the numbers on the cards in
internet until 8am GMT on Saturday 2 December
when the solutions video will be released at
the row is an integer. If, at some point, there is no card remaining in
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the deck which allows Matthew to continue, then he stops.
Do not turn over until told to do so.
When Matthew has stopped, what is the smallest possible number of
cards that he could have placed in the row? Give an example of such
a row.
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