Cambridge International AS & A Level: Thinking Skills by Angus Grogono & Colin Hart

Author:Angus Grogono & Colin Hart [Grogono, Angus; Hart, Colin]
Language: eng
Format: epub
Publisher: Hodder Education
Published: 2018-03-17T16:00:00+00:00

c Which one of these seven squares can never move, no matter how many of the others do?

Having the contents move during transport is often undesirable. It may be worth adding one or more extra pieces to stop them doing so.

By moving just the smallest square in the configuration above, it would be possible to insert into the tray a single ‘filler’ piece made up from no more than 6 unit squares, so that no pieces can move.

d Design such a ‘filler’ piece and show where the smallest square should be placed relative to it.

e Draw another arrangement of the seven squares, without any extra pieces, within this 11 × 14 rectangle, so that none of the squares bigger than 3 × 3 can move.

(Cambridge AS & A Level Thinking Skills 9694, Paper 32 Q1, November 2014)

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