Puzzle 201
What number comes next in this sequence:
1 · 4 · 11 · 20 · 31 · 44 · ?
Puzzle Copyright © Kevin Stone
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Hint
A tricky base 8 question.
Answer
61.
Each term is a square expressed in base eight, 7 2=49 = 61 in base 8.
Puzzle 202
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: C O L U M B U S
Note: this puzzle is not interactive, and the squares cannot be clicked.
Puzzle Copyright © Alan Stillson and Frank Longo
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Hint
Column 4's missing letter is L.
Answer
D
U
C
K
M
P
U
L
O
S
E
T
E
L
B
A
Across: DUCK, PLUM, TOES, BALE
Down : DOME, PLUS, CUBE, TALK
Boxes : DUMP, LUCK, SOLE, BEAT
Other anagrams of these words are OK as long as they don't change the answer grid.
Alternative Answer
This answer uses less common words.
D
U
C
K
S
P
U
L
O
M
E
T
E
L
B
A
Across: DUCK, PLUS, TOME, BALE
Down : DOSE, PLUM, CUBE, TALK
Boxes : SPUD, LUCK, MOLE, BEAT
Other anagrams of these words are OK as long as they don't change the answer grid.
Puzzle 203
A very long time ago, at the beginning of the week, I was given some money for my birthday.
On Monday, I spent a quarter of the money on clothes.
On Tuesday, I spent one third of the remaining money on music.
On Wednesday, I spent half of the remaining money on games.
Finally, on Thursday, I spent the last £12.50 on a book.
How much birthday money did I receive?
Puzzle Copyright © Kevin Stone
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Hint
It might be easier to work backwards.
Answer
£50.
Reasoning
Working backwards:
On Thursday, I had £12.50.
On Wednesday, I had £12.50 x (1 ÷ one half) = £25.
On Tuesday, I had £25 x (1 ÷ two thirds) = £37.50.
On Monday, I had £37.50 x (1 ÷ three quarters) = £50.
Puzzle 204
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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