In addition to the [other answer](https://diy.stackexchange.com/a/185002/21658), there are also self-centring punches (often explicitly intended for locating hinge screws).

[![enter image description here][1]][1]
[![enter image description here][2]][2]

[[image source]](https://www.leevalley.com/en-ca/shop/tools/hand-tools/punches/32201-hinge-center-punch)


  [1]: https://i.sstatic.net/r6qT5m.jpg
  [2]: https://i.sstatic.net/JHGvzm.jpg