A lot of what my schoolchums and I did was on the throw of dice.
Throw two dice, and if its 5, it is between 150 and 180 degrees. Throw again and that subdivides that segment into 12. Locate a town approx 25 miles away and go for its chip shop.
Seeings 7 is the most probable, from Brum, it was either Bromsgrove, Droitwich or Worcester.
When the Random number generator appeared on Microsoft Excel, we went north more often.