Puzzle 69
Which is larger:
3 raised to the 5th power
5 raised to the 3rd power
Puzzle Copyright © Kevin Stone
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Hint
3 raised to the 5th power is 3 x 3 x 3 x 3 x 3.
Answer
3 raised to 5th power.
Reasoning
3 raised to the 5th power = 3 ^ 5 = 3 x 3 x 3 x 3 x 3 = 243
and
5 raised to the 3rd power = 5 ^ 3 = 5 x 5 x 5 = 125.
Puzzle 70
You've been asked to buy the cakes for the school party and you've been given $100 to buy 100 cakes.
Donuts cost 56c, chocolate eclairs cost $2.26 and iced rolls cost 92c.
How can you spend exactly all of the money on the 100 cakes?
Puzzle Copyright © Kevin Stone
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Answer
15 donuts, 10 chocolate eclairs and 75 iced rolls.
15 + 10 + 75 = 100 and 15 x 0.56 + 10 x 2.26 + 75 x 0.92 = 100.00.
Puzzle 71
Place letters into the grid such that every row, column, and 2 x 2 block has letters (in any order) that form a common word. Each letter is only used once, and no letter is repeated in the rows / cols / blocks.
Letters allowed: S O N A T A
Note: this puzzle is not interactive, and the squares cannot be clicked.
Puzzle Copyright © Alan Stillson and Frank Longo
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Hint
Row 3's missing letter is T.
Answer
N
A
R
E
B
S
O
W
K
R
E
T
A
P
Z
S
Across: NEAR, BOWS, TREK, ZAPS
Down : BANK, SPAR, ZERO, STEW
Boxes : BANS, WORE, PARK, ZEST
Other anagrams of these words are OK as long as they don't change the answer grid.
Puzzle 72
In this sequence of planets, can you work out why they are listed in this order?
Jupiter, Saturn, Uranus, Neptune, Earth, Mars, Mercury, Venus.
Puzzle Copyright © Kevin Stone
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Hint
The answer is something to do with time.
Answer
The order is based on the length of day of the planet in Earth hours and days.
Jupiter has the shortest day (≈ 9 Earth hours), and Venus has the longest day (≈ 243 Earth days).
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