[4] Murdoch is a two time World Junior Curling Champion – in 1995, as an alternate for Tom Brewster, Jr., and in 1996 as a lead for James Dryburgh.

Four years later, he led Scotland to the European Championship title, beating Peja Lindholm's formidable Sweden team in the final.

At the 2005 Ford World Men's Curling Championship his Scotland rink won the silver medal after losing to Canada's Randy Ferbey in the final.

The team's fine run of form ensured all four members a place in the Great Britain men's squad for the 2006 Winter Olympics, with Murdoch in the position of skip.

At the Olympics, Murdoch and his team lost in the bronze medal match to Pete Fenson of the United States.

In 2009, Murdoch once again won a gold medal for Scotland at the World Men's Curling Championship, which was held in Moncton, New Brunswick.

[citation needed] However, Murdoch's rink endured what he described as "a difficult year"[8] following the 2014 Olympics: they lost in the final of the Scottish Championships in February 2015 to defending champion and former team-mate Ewan MacDonald's team, denying Team Murdoch a place at the 2015 Ford World Men's Curling Championship,[9] before finishing third in the Scottish qualifying tournament held in October of that year for the 2015 European Curling Championships behind Kyle Smith and former team-mate Tom Brewster's rinks, thus failing to secure selection.

[13] Murdoch has commentated and taken part in studio analysis on curling for Eurosport for many years and Channel 4 for the 2014 Winter Paralympics.

She has been credited by David as "a big part of how (he) ended up being a competitive player",[8] and she also helped develop fellow Olympic medallists Claire Hamilton and Anna Sloan.

[19] Murdoch was appointed Member of the Order of the British Empire (MBE) in the 2022 Birthday Honours for services to curling.