2012 revision test.

IMO, IMC, USAMO, TST, Putnam, post your own math challenges to the group.

2012 revision test.

A translating effort of a revision test, given to students of the third high school grade.

2011 revision test.pdf
Last edited by ZardoZ on Tue Jan 17, 2012 9:28 am, edited 1 time in total.

ZardoZ
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Re: 2012 revision test.

That's a certainly interesting test. I'll have a go at it another time. I have a backpiling of great resources--I just can't seem to get around to them. Don't you just hate when that happens, lol?

Glancing over Question A, I think I can do those.

B kinda looks... odd. I don't immediately see how to solve it, but I'm sure it has to do with the fact that $f$ is continuous.

C and, particularly, D look intimidating. Could you possibly explain what "image" means in this context? I'm honestly not familiar with the term. I'd say it's not nearly as complicated as it feels--you know? Things always look complicated if you don't know the terms being used, lol.

BTW, is there any way you could post the test without the solutions? I find that my peripheral vision is startlingly good. I have a hard time trying to look at the questions intensely without seeing bits of the solutions.
Erimess wrote:I get students who have a number of units that were sold and a unit sales price, and don't know how to get the total sales amount. They need a "formula."

My Math Forum: Where you learn more math than you did in school.
CherryPi
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Re: 2012 revision test.

I know one high school student who could pass this... guess I grew up in the wrong country!
A few nitpicks...

The solution to A2 supposes that f is defined as in A1 (= a^x), but the statement of A2 makes no such connection.

In question C, use "its" for possessive (which is what you want). "it's" is a contraction for "it is" (which is a subject and a verb).

In D, "Let f *be* ..."

I've said it before: there's no way I could write such a test in a foreign language, so your work is remarkable to me!

The Chaz
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Re: 2012 revision test.

Sadly, I got past part A and had no clue what to do afterward.

X_X.
Erimess wrote:I get students who have a number of units that were sold and a unit sales price, and don't know how to get the total sales amount. They need a "formula."

My Math Forum: Where you learn more math than you did in school.
CherryPi
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