Open the Music app. Go to the Songs section. Swipe left on the song you want to delete. The "Delete" option will appear on the right.
I noticed there's a few tracks with a cloud and down pointing arrow. These tracks can't seemed to be able to remove.
It was once bought from iTunes on another Idevice, but it was automatically synchronized between all devices as its under same iTunes acct
That is like a backup of your songs purchased in iTunes. If u dun have this song or app in your iPhone or iDevice then it is available for a re-download.
How long you been an Apple user?
If you do not want that to appear, just go settings -> iTunes and App Store -> turn off show all music.I noticed there's a few tracks with a cloud and down pointing arrow. These tracks can't seemed to be able to remove.
It was once bought from iTunes on another Idevice, but it was automatically synchronized between all devices as its under same iTunes acct