iPhone 5
Just wanted to add instructions on how to clear the recent routes history.
1 Open maps app. to view the actual map screen (not the route screen that shows the routing history).
2 Touch the little book icon in the upper right corner. Then you should see tabs at the bottom of the screen labeled "Bookmarks, Recents, Contacts".
3 Touch the "Recents" tab. Then you should see a list of the past routes you have looked up.
4 Touch the "Clear" tab in the upper left corner. Then you should see 2 options to either "Clear All Recents" or "Cancel".
5 Touch the "Clear All Recents" tab (shown in red). Then you should see the screen wiped clear.
6 Touch the "Done" tab in the upper right corner.
If you still see the very last route on your map: Then touch the "X" on the upper part of the screen, on the left side of the little book icon, located within the Search bar. Then you should only see the blue dot, representing your current location.
I hope this helps.