Hint
There are more than 37, look at the different sizes.
Answer
There are 64 hexagon-type shapes in total.
Reasoning
37 single hexagons
+ 19 hexagons that contain 7 smaller hexagons
+ 7 hexagons that contain 19 smaller hexagons
+ 1 large hexagon that contains all of the smaller hexagons.
??
Puzzle 2
Below, 10 nine-letter words have been broken into chunks of three letters.
The chunks have been moved around, no chunk is used twice, and all of the chunks are used.
Can you determine what the 10 words are?
hol rec ant imp fer con
man dif ice pol acq htn
ort myt new air sag duc
dec lig kch ogy ing tan
uit ent gle tal tor ent
Hint
The first letters of the words are: A, C, D, D, I, L, M, N, P, R.
Answers
acq + uit + tal = acquittal
con + duc + tor = conductor
dec + kch + air = deckchair
dif + fer + ent = different
imp + ort + ant = important
lig + htn + ing = lightning
myt + hol + ogy = mythology
new + sag + ent = newsagent
pol + ice + man = policeman
rec + tan + gle = rectangle
?
Puzzle 3
Can you find a three-letter word that completes these words?
b---
d---
m---et
p---ing
sh---