Search Results: playing the question game

So my cousin wants to study at a Japanese university (idk why he would do that to himself, probably too much anime) with a scholarship and he's using this test as practice, 7 questions, 1 hour.

http://www.ar.emb-japan.go.jp/Contenido/Formularios%20de%20Becas/ga-math_a.pdf

If you're a teacher, would you use this test on high school students?

To me, this looks like what I would expect to see on a test of middle school students entering high school, not high school students entering university... Essentially to breeze through this you need to know quadratic equations, functions & graphs, probability rules & how to count, simple algebraic identities, basic geometry of congruent triangles, circles, Pythagorean theorem. Nothing really at high school level (integrals, derivatives, vectors, analytic geometry, solid geometry, trigonometry, classical inequalities etc.), though question 3 does require you to know a tiny bit of logic, so it's probably harder than the rest.

Rank the questions from easiest to hardest? (for example 1 < 2 < 3 < 4 < 5 < 6 < 7)

Also congrats to @jemini_crocket for passing her Math test, all she did this summer were playing video games, went on dates and worked a part time job. I am very proud of her 👏👏👏