Reasoning
The clock now shows 10:12am, so we know that 10 x 60 + 12 = 612 clock minutes have passed.
Since the clock is losing 6 minutes every hour, for every real hour that has passed, the clock will show 54 minutes.
So, 612 ÷ 54 ≈ 11.33 real hours have passed.
This equals 680 minutes, which is 11 hours and 20 minutes = 11:20am.
The clock stopped 2 hours ago, therefore the time must now be 1:20pm.
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Puzzle 7
Recently Kevin had a party and because it was his birthday he wanted a mathematical cake!
He ordered a cake in the shape of a cube and had it completely iced (but of course the shop didn't ice the underneath because that just isn't very sensible).
He cut every side of the cake into three equal pieces, giving 27 slices of cake.
He ended up eating all of the pieces of cake that had exactly 2 sides with icing.
So, how many pieces did that leave for the guests?
Hint
How many pieces on the top layer had two sides with icing?
Answer
15 pieces.
Reasoning
On each layer there are 4 pieces with exactly two sides of icing.
Therefore, Kevin ate 12 pieces, leaving 15 for the guests.
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Puzzle 8
Alex's child, Drew, is exactly one fifth of Alex's age. In 21 years, Alex will be exactly twice Drew's age. How old is Drew now? Billie is exactly seven times the age of his child, Glen. In 8 years, Billie will be three times the age of Glen. How old is Glen now?
