The other 5% is a single paper, which I already did and got a 4.2/5 on.

What is the lowest I can get on the last test to still pass the class with an A? There is no final.

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The other 5% is a single paper, which I already did and got a 4.2/5 on.

What is the lowest I can get on the last test to still pass the class with an A? There is no final.

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## Answers (1)

The trouble here is not being certain what minimum overall score qualifies for an A. In my experience, it would be somewhere in the low 90s percentage-wise, but the exact value may vary among schools and among individual teachers. (And if the teacher grades on a curve, all bets are off!)

But let's assume that you know that value. We'll call it M, for "minimum." We can work out a formula that will let you figure out what you need.

I assume all the test scores are percentages; that is, that 100 would be a perfect score. I also assume all tests count equally. Then each test constitutes

95%/4 = 23.75% of your grade, with the remaining 5% the grade for the paper.

Then using x for the unknown grade on the last test, it must satisfy this inequality for an A:

0.2375x + 0.2375(94+98+88) + 4.2 >= M

where <= stands for "greater than equal." [That's a common computer-language symbol and saves me having to use characters out of the normal Answers character set.]

We can simplify this:

0.2375x + 70.7 >= M

x >= (M - 70.7) / 0.2375

If you know M, the minimum percentage score for an A, this gives you x, the required score on the last test.

For instance, if M=90, the minimum you need is a fraction over 81.

However, if M=94, you need better than a 98, so it needs to be 99 or 100.

If M=92, you need a 90.