These pins can be connected to jumper cables just fine if jumper cables have the right kind of connectors. Remove the black cover to see what connector you have.

Bad:

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

Better:

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

Good:

[![enter image description here][3]][3]

For the good variety, 5 mm is plenty. The one in the middle will be on its limits, but will hold in place if you don't pull on the wires. The bad variety  won't hold on anything but a full-length pin, plus it only works well once.

With the bad kind, it's sometimes possible to push the springs further down to make it temporarily better, but don't hold your breath. If you can't get your connectors to hold in place, your next solderless option is the clamp wires:

[![enter image description here][4]][4]

These take much more space than regular connectors and are quite unstable, but can hook up to very small pins.

  [1]: https://i.sstatic.net/zui0A.jpg
  [2]: https://i.sstatic.net/7OwlO.jpg
  [3]: https://i.sstatic.net/bB2Jb.jpg
  [4]: https://i.sstatic.net/eJfxo.jpg