Page was a three-time All-American in the high jump during his time at Penn. He was also a three-time Intercollegiate Association of Amateur Athletes of America (IC4A) champion and Amateur Athletic Union (AAU) champion. In 1885, while just a sophomore, he won his first IC4A and AAU titles in the high jump, setting a collegiate and American record in the process and earning his first All-America honor. A year later, Page repeated that feat with IC4A and AAU titles, in addition to yet another All-America honor.
Then, in his final season as a Quaker in 1887, Page became the world record holder in the high jump. En route to his third straight All-America selection, as well as the IC4A and AAU titles, Page became the first person to ever clear 6 feet, 4 inches in the high jump. Making his feat even more impressive, this was also a time when there was seldom a soft landing area for high jumpers and well before the modern day high jump technique was created.
Upon his graduation in 1887, Page's school record in the high jump stood for more than half a century -- in fact, it took 55 years before another Quaker surpassed his mark.