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Workings

Hints
The first letters of the words are: P, M, T, M, R, T, W, T, L, T.

Answers
parasite marginal tangible medicate reactive teaching woodland treading latitude teenager

Workings

Hints
The first letters of the words are: B, S, E, W, E, L, P, C.

Answers
Any animal that fits is correct, but these are possible answers:
fahjec   = badger, barbet, gannet, marten qsaxe    = crane, skate, snake, whale eep      = eel zoth     = fowl, lory, moth, pony, wolf, worm epessawx = elephant feyuv    = lemur, xerus zowqud   = possum pol      = cod, cow, dog, fox, hog

Workings

Hint
Try writing the numbers out as letters.

Answer
45.

Reasoning
Each term increases by the number of letters in the previous term (ignoring any hyphens).
1  + length("ONE")       = 4
4  + length("FOUR")      = 8
8  + length("EIGHT")     = 13
13 + length("THIRTEEN")  = 21
21 + length("TWENTYONE") = 30
30 + length("THIRTY")    = 36
36 + length("THIRTYSIX") = 45

Workings

Hint
There are fewer than 1,000 apples.

Answer
946 apples.

Reasoning
We know that (answer − 1) is divisible by 3, 5, 7, and 9.

If it's divisible by 9 then it's automatically divisible by 3.

So the number must be a multiple of 5, 7, and 9.

   [5 x 7 x 9 = 315]

Since these numbers share no other common factors, we know that the answer must be a multiple of 315 (+ 1).

Let's try 1 x 315 + 1: 316 ÷ 11 = 28.73, and this doesn't work.

Let's try 2 x 315 + 1: 631 ÷ 11 = 57.36, and this doesn't work.

Let's try 3 x 315 + 1: 946 ÷ 11 = 86, and this works, and is the answer.