percent of test - weighted course test scores

The final course average is computed using five tests.

The tests are not counted equally. They are weighted as follows:

counts 20% of final grade - 1st test
counts 20% of final grade - 2nd test
counts 10% of final grade - 3rd test
counts 25% of final grade - 4th test
counts 25% of final grade - 5th test

The results of the first three tests are shown below:

counts 20% of final grade - 1st test = 69.57 test score

counts 20% of final grade - 2nd test = 58.54 test score

counts 10% of final grade - 3rd test = 9.5 test score

What score would I have to make on the next 2 tests to make 80% in the course?

Comments for percent of test - weighted course test scores

 Dec 25, 2013 weighted test scores by: Staff Answer Part I Final Grade is based on a weighted average of five test scores. This is a widely used method of determining a course grade. As you will see, it is impossible to achieve an 80% grade for the course because of the low scores received on the first three tests. Even if you received 100% on each of the remaining two tests, the course grade would only be 76.6% Course Grade = (20% of 1st test score) + (20% of 2nd test score) + (10% of 3rd test score) + (25% of 4th test score) + (25% of 5th test score) Course Grade = (20% * 1st test score) + (20% * 2nd test score) + (10% * 3rd test score) + (25% * 4th test score) + (25% * 5th test score) Course Grade = (0.2 * 1st test score) + (0.2 * 2nd test score) + (0.1 * 3rd test score) + (0.25 * 4th test score) + (0.25 * 5th test score) Course Grade = (0.2 * 69.57) + (0.2 * 58.54) + (0.1 * 9.5 ) + (0.25 * 4th test score) + (0.25 * 5th test score) -----------------------------------------------------------------------

 Dec 25, 2013 weighted test scores by: Staff ----------------------------------------------------------------------- Part II -----------------------------------------------------------------------

 Dec 25, 2013 weighted test scores by: Staff ----------------------------------------------------------------------- Part III Course Grade = 13.914 + 11.708 + 0.95 + (0.25 * 4th test score) + (0.25 * 5th test score) Course Grade = 26.572 + (0.25 * 4th test score) + (0.25 * 5th test score) Course Grade = 26.572 + 0.25 * (4th test score + 5th test score) -----------------------------------------------------------------------

 Dec 25, 2013 weighted test scores by: Staff ----------------------------------------------------------------------- Part IV 80 = 26.572 + 0.25 * (4th test score + 5th test score) 80 - 26.572 = 26.572 + 0.25 * (4th test score + 5th test score) - 26.572 53.428 = 26.572 + 0.25 * (4th test score + 5th test score) - 26.572 53.428 = 26.572 - 26.572 + 0.25 * (4th test score + 5th test score) 53.428 = 0 + 0.25 * (4th test score + 5th test score) 53.428 = 0.25 * (4th test score + 5th test score) 53.428 / 0.25 = 0.25 * (4th test score + 5th test score) / 0.25 213.712 = 0.25 * (4th test score + 5th test score) / 0.25 213.712 = (0.25 / 0.25) * (4th test score + 5th test score) 213.712 = (1) * (4th test score + 5th test score) 213.712 = (4th test score + 5th test score) (4th test score + 5th test score) = 213.712 The scores on both the 4th and 5th tests must each be 106.856 (which is 213.712 / 2) to achieve an 80% for the course. This means that you must receive a score of greater than 100% on each test. Who knows . . . perhaps the teacher will give extra credit. -----------------------------------------------------------------------

 Dec 25, 2013 weighted test scores by: Staff ----------------------------------------------------------------------- Part V -----------------------------------------------------------------------

 Dec 25, 2013 weighted test scores by: Staff ----------------------------------------------------------------------- Part VI ------------------------------------------------------ What is the highest possible course grade you could achieve if you scored 100% on the remaining two tests? Course Grade = (0.2 * 69.57) + (0.2 * 58.54) + (0.1 * 9.5 ) + (0.25 * 4th test score) + (0.25 * 5th test score) Highest Possible Course Grade = (0.2 * 69.57) + (0.2 * 58.54) + (0.1 * 9.5 ) + (0.25 * 100) + (0.25 * 100) Highest Possible Course Grade = 13.914 + 11.708 + 0.95 + 25+ 25 Highest Possible Course Grade = 76.572 ≈ 76.6% Thanks for writing. Staff www.solving-math-problems.com
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