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Answer: There are 64 hexagon-type shapes in total.

There are 37 single hexagons, 19 hexagons which contain 7 smaller hexagons, 7 hexagons which contain 19 smaller hexagons and one large hexagon which contains all of the smaller hexagons.

Puzzle 2

Add lines to this grid and create five areas that each have 4 letters, to spell five 4-letter words.

Hint: The lowest route contains more 2's than the highest route.

Answer: Highest = 24. Lowest = 12.

Puzzle 4

You are given a 10x10x10 cube composed of one thousand 1x1x1 mini-cubes glued together.

If you removed the outermost layer, how many mini-cubes would you have removed?

[Ref: ZVPY]

Hint: Think about one face at a time.

Answer: 488.

You started with 10x10x10 = 1000 cubes.

Removing the outermost layer would leave a 8x8x8 large cube = 512 cubes.

Therefore you would have removed 488 cubes (1000 - 512 = 488).

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