Can anyone recommend an Android ZIP App?

[StephenG1CMZ]

My current Android complains that it doesn't know what a ZIP is and refuses to download one.

Which is puzzling because my old phone would download a ZIP which I could then Bluetooth to the PC.

But know I need two things..
1 an App or hidden setting to persuade the phone to download a ZIP.
2 an App to unzip
3 and maybe a file manager, so I can delete everything else in the ZIP except HP Prime programs. Quickoffice sees pdf's etc. but not all files.

I've noticed that some programs in the Prime library are zipped, whereas others I can cut and paste OK. Otherwise I would not need to do step 2 on the phone (unless I waned to unzip non-prime-stuff).

I am on a limited data allowance so want something that isn't going to eat into that by uploading to do file conversion or ads.