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%.