List apps that are downloaded to my phone
Depending on which version of iOS you are using there is different ways to check that.
If you are using a new version of iOS like 7 or 8 then you can do the following or something similar.


Open the "Settings" app.
Go to General -> Usage -> Manage Storage (under Storage).
Now you should soon see a list of apps installed on your iPhone.


Remember that this is only applicable for newer versions of iOS. Also, between the versions the steps can differ a bit but it is similar. Check under "General" in Settings and look carefully for something like "Usage" or "Storage".