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Let us not forget that Anya is probably younger than we think. She likely lied to Loid when she read his mind, as he was looking for a "6-year-old" to adopt. Loid guessed he was only 4 or 5 at that time. So— Why expect a child to be so dang smart? She's already amazing as is. Plus, We can pretty much guess she was taught strictly and at an advanced level based on what we've seen so far, so it's common sense that she hated studying, couldn't keep up, couldn't advance, and she also found it hard to concentrate, easily gets bored.
What this chapter is foretelling to me is that Anya might soon aspire to be a diplomat. But as for the test, I don't want to expect much; I just hope Anya did her best.