Will home pregnancy tests still work a few months or ever all the way through the pregnancy?

What I mean is, is what they are testing for only present in the first month or so of the pregnancy, or will they still work throughout the pregnancy or at least in the first half or so? Would pregnant women who were 2, 4, 7, 8, and 9 months pregnant get accurate results if they used a home pregnancy test?

Pregnancy tests work based upon the high amounts of hormones we have present in our bodies during pregnancy. They work all through out pregnancy.