Puzzle 1
Complete these three-letter words, the first letters form a word reading down, and the last letters form a word reading down.
The two words reading down are closely related:
- O -
- G -
- A -
Puzzle Copyright © Kevin Stone
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Hint
The two words are animal related.
Answer
CAT and DOG.
C O D
A G O
T A G
Or CAT and PET:
C O P
A G E
T A T
Puzzle 2
Using all of the letters A to Z, each once only, complete these common words.
ba-g-
d--ed
dia--
-uo-a
i-de-
-o-el
-um-s
py--y
g-ou-
--nal
tra--
-umb-
d--ty
Puzzle Copyright © Kevin Stone
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Hint
The 4th word begins with the letter Q.
Answers
ba-g- = badge (DE)
d--ed = dazed (AZ)
dia-- = diary (RY)
-uo-a = quota (QT)
i-de- = index (NX)
-o-el = vowel (VW)
-um-s = bumps (BP)
py--y = pygmy (GM)
g-ou- = ghoul (HL)
--nal = final (FI)
tra-- = track (CK)
-umb- = jumbo (JO)
d--ty = dusty (US)
This puzzle isn't guaranteed to have a unique answer, can you find another?
Puzzle 3
Can you find a 5-digit number …
… whose digits add up to 18 and whose product is 210 and the digits increase from left to right in the number?
Puzzle Copyright © Kevin Stone
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Hint
Break down 210 into its factors.
Answer
12357.
Reasoning
Since 210 = 2 x 3 x 5 x 7, 12357 is the only way to get a 5-digit number, in ascending order.
Puzzle 4
What is the next number in this sequence:
0 · 0 · 1 · 2 · 2 · 4 · 3 · 6 · 4 · 8 · 5 · ?
Puzzle Copyright © Kevin Stone
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Hint
There are two sequences merged.
Answer
10.
Reasoning
There are two sequences mixed together.
0 1 2 3 4 5
and
0 2 4 6 8 ?