My mom had stated she wanted to be cremated for years (she had a bug thing) so it wasnt a surprise. When she hit her 90s she added a codicil that there was to be no funeral and wanted her ashes buried with my sister. She said anyone she would have wanted at her funeral were already dead so no need to waste the money on one. Almost 5K for cremation and another 1K for burial.
btw, the 'temporary urn' that a crematorium offers (while you decide if you want to buy one of theirs or your own or nothing) turns out to be a bag inside a cardboard box. I was expecting at least pressed cardboard in an urn shape. Nope. If I believed in ghosts I know she would have haunted me for that so I made my own urn for burial (just in case).
Edit: Not sure about all cemeteries but the one she wanted strictly prohibited scattering of ashes. They also required a 'cremation certificate' which matches the sticker on the 'urn'