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Workings

Hints
The first letters of the words are: F, T, W, S, F, T, T, T, S, M.

Answers
Fluffy Tiger Whiskers Spot Felix Tom Tabby Tiddles Socks Mittens

Workings

Hint
Add 'one Z', literally.

Answer
Lozenge.

Reasoning
'one Z' + LEG = ONE Z LEG = ONEZLEG > LOZENGE.

Workings

Hint
One of the words is FREE.

Answer
Dare, Shin, Typo, Free, and Lawn.

Workings

Hint
A little algebra might help.

Answer
¹/₈.

Reasoning
If we convert the question to algebra, we have:
((n^2 + 4) x 2 − 3) x 4 − n = 20

Expanding the brackets and simplifying gives:

(2n^2 + 8 − 3) x 4 − n = 20

    (2n^2 + 5) x 4 − n = 20

         8n^2 + 20 − n = 20

              8n^2 − n = 0 (*)

                8n − 1 = 0

                    8n = 1

                     n = ¹/₈

In the equation marked (*) zero is also a potential solution, but as the question tells us that we "Start with a number larger than 0" we know that n can't be 0, and therefore we can safely divide by n.

Double-Checking
                 ¹/₈
   squared     = ¹/₆₄
   add 4       = 4¹/₆₄
   double      = 8¹/₃₂
   take away 3 = 5¹/₃₂
   times 4     = 20¹/₈

   subtracting ¹/₈ gives 20, as required.