If you have absolutely no knowledge on any topic you gave, I'd say it's close to impossible to really learn the material within 20 days by devoting no more than 5 hours/day. However scoring well on a test may be possible. All depends of your learning faculty and the exigences of your teacher.
Since there are 5 topics, you could devote approximately 4 days to each topic. Hmm... you could learn how to solve problems mechanically, without understanding almost anything and this way you could do well on the test. However you won't really learn the material.

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Isaac