Question

A test is worth 50% of my grade. I get an 100% on my test. My current grade is 54%. What is my new grade?

Answer 1

To calculate your new grade after scoring 100% on a test that is worth 50% of your overall grade, you can use the following formula:

\[
\text{New Grade} = \text{Current Grade} \times \text{Weight of Current Grade} + \text{Test Score} \times \text{Weight of Test}
\]

Given:
- Current Grade = 54%
- Test Score = 100%
- Weight of Current Grade = 50% (0.5)
- Weight of Test = 50% (0.5)

Now substituting the values into the formula:

\[
\text{New Grade} = (54\% \times 0.5) + (100\% \times 0.5)
\]

Calculating each part:

1. \( 54\% \times 0.5 = 27\% \)
2. \( 100\% \times 0.5 = 50\% \)

Now, add these two results together:

\[
\text{New Grade} = 27\% + 50\% = 77\%
\]

So, your new grade after the test will be **77%**.