Puzzle 1
What are the next two numbers in this sequence:
14 · 91 · 62 · 53 · 64 · 96 · ? · ?
Puzzle Copyright © Kevin Stone
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Hint
Try removing the spaces between the numbers.
Answer
48 and 11.
Reasoning
These are the squares of numbers without the correct spacing.
1 4 9 16 25 36 49 64 81 100
with no spaces becomes:
149162536496481100
broken into blocks of two:
14 91 62 53 64 96 48 11 00
So the next two in the sequence are 48 and 11.
Puzzle 2
How much soil is there …
… in a circular hole 2 metres deep and 1 metre across?
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Hint
How much soil is in any hole?
Puzzle 3
You can replace the dashes with the same four-letter word, and create two new words, one that starts with ARM, and one that ends in ING.
Can you find all possible four-letter words that work?
arm----
----ing
Puzzle Copyright © Kevin Stone
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Hint
There are 4 possible answers.
Answer
Band, load, lock, and rest, all create new words:
armband and banding
armload and loading
armlock and locking
armrest and resting
Note
Some dictionaries also allow ARMRACK, but others don't. So RACK is a unofficial possible answer.
Puzzle 4
Can you find three words …
… which contain two consecutive i's.
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Hint
The words begin with the letters R, S, T.
Answer
RADII, SKIING, TAXIING.
You could also have GENII.
