You might want to read this other answer where I talked about the size of the Universe http://ias.im/44.669
Regarding the rate at which it is expanding – this can be measured by examining the “red-shift” of galaxies (simply how fast they are moving away from us). The rate of expansion is called the “Hubble constant” and galaxies 1 mega-parsec (about 3 million light years) away are moving away at about 75 kilometres per second.
I don’t have to guess how many supernova happen per year, because when they go off they leave a lot of evidence lying around after them so we can work it out. In our Galaxy there is about 1 supernovas every 50 years. But you don’t have to keep looking for 50 years to see one – just look at loads of galaxies and you can see supernovae every day! A famous one happened in the “Whirlpool Galaxy” about a month ago.
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