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In the US, the last time April 1st fell on a Saturday was in 2006.
September 1st was a Saturday in 2007.
The last time was in 2011 and before that in 2005.
As of 2011, the last time July 1 fell on a Saturday was in 2006.
At the time the question was asked, in 2011, the answer was 2009. After 2009, 2015 is when the 1st of August is a Saturday again.
At the time the question is being answered, January 2015, it was 2011. At the time it was asked, in September 2011, it was 2005.
As of 2011, the last time October 1 fell on a Monday was in 2007.
April 1st 1961 fell on a Saturday.
October 1st, 1836 fell on a Saturday.
The last time the 1st of October was on a Friday was in 2010, and before that in 2004.
Before 2015, the 1st of November was last on a Sunday in 2009.
As of 2014, the last time the 1st of February was on a Sunday was in 2009. The next will be in 2015 and after that in 2026.