Not sure exactly what you're looking for here....
I use my iPad for almost everything - my use case includes:
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Office apps (I use iWork - pages, keynote, numbers for school projects and papers)
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PocketCloud Pro (its a pretty basic VPN app attached to your gmail account - download the companion on your laptop or desktop and you can control it. Somewhat slow, but does the job for me. I use it for things like moving files from Vuze to iTunes, or uploading other files on my computer to iCloud apps so I can pull them up on my iPad).
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Comics
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Textbooks/School PDFs (I have some marketing cases I have to read saved in iBooks, all my syllabuses etc)
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Movies/TV Shows (both stored and streaming)
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Sports (scores, streaming, audio)
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Network administration (keep my home network running properly via Airport Utility app)
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Email
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FaceTime
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Social Media
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AirDisplay (I sometimes use my iPad as a secondary screen for my MBA - when I'm in a coffee shop or someplace away from my iMac at home)
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Shopping
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Photo editing (I'm a novice, nothing complex)
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Banking/Finances
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Health tracking
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Gaming
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Controlling my home security system and DirecTV boxes
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Recipies
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My wife's wardrobe is organized on our home iPad
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Drawing (my wife does)
I'm sure there are other things, but I use my iPad for damn near everything....people who claim its not a productive device, or that it can't replace a computer are talking about either very processor-heavy tasks or specific workflows/applications. If you're willing to adapt your workflow for the convenience of an iPad, you can pretty much do whatever you need to do on one.
There literally is an app for just about everything. And iPad specific apps are legit.
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Not me.
My primary use for my iPad rmini is for reading books, for which purpose it is wonderful. I now have a small library of books I have with me everywhere I go, and I avoid having to haul around physical books as much as I can.
I also used it occasionally for taking notes or looking up records, often in spreadsheet form, when a laptop would be intrusive.
But for composing longer documents I use a laptop. I'm happy with that. I'm happy having a simple portable device for reading and taking notes and viewing maps, and a laptop for creating technical documents and creating databases and presentations. I think that's better than having a device that tries to do both, but is optimal for neither.
Reading is probably the only thing I don't do on my iPad (reading books that is versus comics and illustrated textbooks). I have a Kindle Paperwhite that I love reading on. Much prefer taking a $100 device that works in sunlight to the beach versus my potentially very expensive iPad (my plans are the 128GB LTE rMini 2).
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i would be productive...if i had an ipad
Check out the refurbished store on apple.com - great prices on Apple-certified refurbs. Better than new in most cases because they undergone much more rigorous testing.
$249 for a first gen iPad mini. If you're lucky, you might be able to spot a $339 4th gen iPad (9.7"). Plenty of options, just have to keep checking back as they update regularly.