Graeme was educated at Stowe School in Buckinghamshire, which is also where fellow Northamptonshire cricketers Rob White and Ben Howgego studied. Also former team-mate Mark Nelson went to the school. Earlier on in his career, he scored 109 and took 7 for 21 for Staffordshire U17s during 2003. Graeme then progressed on to playing second XI for Northamptonshire at the end of the 2004 season and throughout the 2005 season. He played for England in the 2006 U-19 Cricket World Cup in Sri Lanka and now plays for Northamptonshire. Graeme's highest first-class innings came on August 10, 2007, when he scored 65, sharing in a 145-run partnership with David Sales. In 2009 Graeme moved to Nottinghamshire citing the need for regular first team cricket as the main motivation but returned to Northants on loan in June 2013.