Runs in the Family
Easy Jim and his daughter Sam both ran in a 10-kilometre race. Jim finished in
49 minutes, Sam in 54. Jim ran at a perfectly steady pace, but Sam lost steam and
took exactly 25 per cent more time to complete the second half of the race, com-
pared to the first. Jim’s wife and Sam’s mother, Heather, stood at the halfway mark
to cheer them on as they passed. Who went by her first?Taking Orders
Difficult The robot shown here can move
only horizontally or vertically from where
it stands. If it’s ordered to go in any one of
its four available directions, it will continue
as far as it can in that direction before it
stops. When it encounters a single box, it
will push it until it can’t go any further in
that direction. However, it isn’t strong
enough to push multiple boxes at once,
meaning that two or more boxes stacked
next to each other will just stop it where it
is, as will a wall or a box stacked against a
wall. How could you order the robot out of
the room, presuming the doorway is too
narrow to push a box through?Place Your Chips
Difficult You have a stack of poker chips that are
each worth `5, `10 or `25. You need to put them
on the squares of this grid—but no more than
one chip per square—so that their value totals
the amount of rupees shown for each row, col-
umn and long diagonal. Not every square needs
to have a chip on it. Several chips and one blank
space (designated by a star) have been placed to
get you started. Can you finish the grid?For answers, turn to PA G E 130DOORWAY10 10 5025 6580510 355 25
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