Quartermaster sergeant instructor is an appointment held by warrant officers class 2 in the British Army's Small Arms School Corps and by some in the Royal Engineers and Royal Army Physical Training Corps.1
In the Canadian Army, QMSI is an appointment held by the senior master warrant officer,2 within each battalion of the Princess Patricia's Canadian Light Infantry.
"No. 29364". The London Gazette. 12 November 1915. p. 11174. https://www.thegazette.co.uk/London/issue/29364/page/11174 ↩
Brown, Andrew L. (2022). Building the army's backbone: Canadian non-commissioned officers in the Second World War. Vancouver: UBC Press. p. 50. ISBN 9780774866965. 9780774866965 ↩