The questions are surely absurd, and common core is a disaster. But I do not understand the (self-)basing of the author. Self-hatred and self-doubt are very usual emotions for teenagers, so these poems actually are very much relatable for 7/8 grade students.
The question of that one poem of hers that she would prefer not to be used only is a small side-issue, the main issue she writes about is that many questions are made-up and arbitrary, you cannot answer them from actual knowledge.