Van Schoor first played rugby at the age of seven, but when he entered Paarl Boys' School he was considered too small to play. As an adult he was 5-foot 9 inches in height, but was broad of shoulder and developed into one of the most feared tacklers in South Africa.[2] Van Schoor was also a crash ball specialist, a factor that is believed to have brought him to the notice of the South Africa selectors and won him his first cap.[3] he was first selected to play rugby at provincial level in 1942 for Westen Province, during which time he was playing club rugby for Gardens.[2] After moving to Rhodesia in 1948 he switched clubs to Inyazura,[5] and was dropped by Western Province, turning out instead for Rhodesia.[3]
In 1949, the New Zealand 'All Blacks' toured South Africa, the first team to do so since the Second World War. Trials to face the tourist were held, but van Schoor wasn't amongst the 120 players who turned out. The first Test was played on 16 July at Cape Town, South Africa won 15–11. The All Blacks then travelled north to Rhodesia to play the Rhodesian team in two matches. Two South African selectors, Danie Craven and Bert Kipling, watched the games which ended in a 10–-8 win for Rhodesia in the first game and a 3–3 draw in the second.[2][6] Van Schoor's tackling so impressed the selectors that he, and fellow Rhodesia team-mate Salty du Rand, was chosen for the second Test at Johannesburg.[2] The game ended in a 12–6 win for South Africa.[7] This was the first of twelve consecutive international matches the van Schoor played in. He faced New Zealand twice more in the tour, both wins, 9–3 at Durban and 11–8 at Port Elizabeth.
...Ryk, who was played purely for his amazing defensive qualities and who, in association with Hennie Muller, tore our midfield attack to shreds. If you saw a cloud of dust rising from midfield like an atom-bomb cloud, you knew Van Schoor was at work. He was big and strong and nerveless. He was not really fast but he got such a kick out of making the perfect tackle that he used to clap on all speed just before going into his dive – and boy, was it a powerful dive.[2]
– New Zealand rugby player Bob Scott describing van Schoor in his 1956 autobiography The Bob Scott Story
In 1951 South Africa undertook their fourth tour of Great Britain, also taking in games in Ireland and France. Van Schoor was one of four centres selected for the tour which took in 31 matches, including five internationals. Van Schoor played in 16 matches scoring seven tries.[8] He was chosen for the first game of the tour, against South-Eastern Counties at Bournemouth on 19 October. South Africa won the game 31–6, van Schoor scored one of the seven Springbok tries.[9] He was then rested for two games before playing in the win over Cardiff in Wales. After missing the game against Llanelli, van Schoor played in two back-to-back games, a win over North-Western Counties on 27 October and then an encounter with a combined Glasgow and Edinburgh team in Scotland. South Africa won the game 43–11, with van Schoor scoring another try, but he also suffered a broken rib which saw him withdraw from the squad for the next four matches.[3][9] He returned for the win over Oxford University and kept his place for the match against a joint Neath/Aberavon side. On 24 November, South Africa faced their first international opponents of the tour, Scotland. Van Schoor was selected for the match, his fourth international cap, and scored his first international points with a try in a 44–0 win over Scotland.[10] Rested against North of Scotland, van Schoor was back on the scoresheet in a win over Ulster.[9] He was then chosen to face Ireland.[11] After just six minutes van Schoor was carried from the pitch unconscious, coming around some time later in the dressing room.[3] The three doctors present advised him not to return to the game, but van Schoor ignored them return to the pitch in the seventh minute of the second half.[3] At that point South Africa were 7–5 up, and were weak in the line-out. With van Schoor's return, the team improved and won the match 17–5, van Schoor scoring a fine individualist try of which he hardly remembered.[3]
Van Schoor was left out of the squad for the two matches before being selected for the third international, against Wales. South Africa won 6–3. He was then rested for another two games, before being brought into the squad on 5 January 1952 to face England. It was van Schoor's seventh consecutive international and his seventh consecutive win after the Springboks beat England 8–3.[12] Van Schoor played in three of the five final matches in Britain, all wins, against Newport, Midland Counties and the Barbarians, scoring a try in the Newport game.[9] The tour then moved to France, van Schoor playing in two of the final games of the tour. He scored a try in the win over a France 'B' team, and then was part of the Springboks squad that beat France 25–3 in the final match of the tour.[13]
Van Schoor played in all four Tests against the touring Australia team of 1953. The first game, played at Johannesburg saw South Africa win 25–3.[14] The next Test, played on 5 September, saw van Schoor part of a losing international side for the first, and only, time. South Africa were beaten at Cape Town by a narrow 14–18 scoreline.[15] The loss was blamed on the Springboks desire to please the crowd by switching away from their normal kicking game, to one based on running with the ball.[16] Van Schoor survived a cull by the selectors to retain his place for the third Test, this time played at Durban. South Africa won 18–8, needing a draw to take the series in the last game at Port Elizabeth. This was van Schoor's final international, and he finished with a victory, leaving him with a career record of 11 wins out of 12 international matches.