In the Scottish Parliament , the party 's leader is Annabel Goldie and the party is an opposition party with 16 out of 129 seats . The party has one seat out of 59 Scottish seats in the House of Commons of the United Kingdom and 1 out of 6 Scottish seats in the European Parliament . In the Scottish Parliament , the Scottish Conservatives currently control 16 of the 129 seats , however 12 of these seats were won through the system of proportional representation and the party has 1 of the six Scottish seats in the European Parliament .