I'm a former history major and pretty familiar with this era. IIRC, you had "grammar schools" which went all the way to high school, then you had the "high school". At least in the South, there was no such thing as "junior high". Maybe it was different in Kansas.
From my knowledge of the curriculum, though, the questions seem a bit strong for a grammar school. They're also more typical of what would be taught in normal school, which was advanced prep that wouldn't have been covered in high school -- notice that there's absolutely no literature (no poetry, no Shakespeare, no novels), and no general knowledge. Think of all the recitation and memorization and literature instruction that went on in grammar and high school! You should know this if you've read any of the literature of the period. Anne of Green Gables is a good example, or Rebecca of Sunnybrook Farm.
I know the trope that we all acknowledge is that education ain't what it used to be -- and that's true -- but I'm suspicious of this particular example.