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BinaryStep
Since: Dec, 2012
FerrousFaucet
Since: Feb, 2014
BinaryStep
Since: Dec, 2012
BinaryStep
Since: Dec, 2012
cbaker
Since: Nov, 2015
2016-06-07 00:50:45
Old post, but your first book is almost certainly The Strictest School in the World.
http://www.goodreads.com/book/show/415878.The_Strictest_School_in_the_World
The second may well be Emmy and The Incredible Shrinking Rat.
http://www.goodreads.com/book/show/1381691.Emmy_and_the_Incredible_Shrinking_Rat
BinaryStep
Since: Dec, 2012

Two books, both childrens' books.
The first was part of a series, it may have taken place in the Victorian Era, though I think it took place in modern times (at least the mid 20th century). It was about a girl and her friend who had the nickname "Rubberboy" or something similar, who couldn't feel pain. There was also a part with a tower of pterodactyls or something like that.
The second book was about a girl and a talking rat (and other rodents) it was revealed that there was something special about rodents in general (that may have been the reason for their sentience), and there was a part where a chinchilla was forced to stamp its paw on cookies for some reason. I remember the cover was orange and black, and it was called something like "Rat".