Is it possible to turn 25$ to 5000$ trading cryptos for 6 months?
Hell Yes!

I started with 19.16 USD deposit on 27.05.2016
I'm way-way past the 5000 limit.
If you take any advice from me here is my shortlist:
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trade for small profits. 3% earning on a transaction is good. Make that 79 times and you just have 10 times more money.
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small orders. Split your investment on at least 10 coins, put small orders, they will get executed a lot faster than bigger ones.
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trade without feelings. Don't attach to some coins that might go to the moon, stick with the earth and bring a small profit hour-by-hour, day-by-day.
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learn to loose. Sometimes you get it wrong, it is OK, market recovers, coins get pumped, time will save you.
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no ICO-s. When you enter in an ICO, you'll lock your coins for a time (technical errors, audits, token emission, exchange listing, bla bla). With small amounts it's not worth participating.
When you get to 5000 you'll need to change your trading strategy, but until than you'll get wiser and experinced.
Good luck with your trading!
Stick to this plan and you can make miracles.
we have a proverb that says "money follows money", so you invest more you will get more.
if you start just with 25$, don't expect to make a huge income. maybe 2k in 6 months, that sounds reasonable.