# What is my test score?

Turns points earned out of points possible into a percent score and a letter grade, or finds the points needed for a percent.

- Page: https://www.acalculator.org/education/test-score-calculator
- JSON spec: https://www.acalculator.org/education/test-score-calculator.json
- Version: 587883d0c9dc

## Default answer

Example with the default inputs (Points earned 43, Points possible 50): 43 out of 50 is 86% (B).

## Inputs

| Key | Label | Description |
| --- | --- | --- |
| earned | Points earned | The points you scored, or the number of questions you got right. |
| possible | Points possible | The points the test is out of, or its number of questions. |
| percent | Score | The score in percent: points earned ÷ points possible × 100. |

## Outputs

| Key | Label | Description |
| --- | --- | --- |
| earned | Points earned | The points you scored, or the number of questions you got right. |
| possible | Points possible | The points the test is out of, or its number of questions. |
| percent | Score | The score in percent: points earned ÷ points possible × 100. |
| letter | Letter grade | The letter for the score on the Tompkins Cortland Community College scale. |
| missed | Points missed | Points possible minus points earned; 0 when you earned all the points or more. |
| extra | Extra credit points | Points earned above the points possible, shown only when there are some. |

## Method

score = 100 × points earned ÷ points possible

## Assumptions

- Fill in any two of points earned, points possible, and score; the calculator finds the third.
- Points earned above points possible (extra credit) give a score above 100%, up to 200%.
- Letter grades follow the Tompkins Cortland Community College (SUNY) scale: A 93 and up, A- 90 to below 93, B+ 87, B 83, B- 80, C+ 77, C 73, C- 70, D+ 67, D 63, D- 60, F below 60.

## Worked examples

1. earned = 43, possible = 50 gives percent = 86%, letter = B, missed = 7. Source: hand calculation in content.mdx: 100 × 43 ÷ 50 = 86%.
2. earned = 88, possible = 120 gives percent = 73.333333%, letter = C, missed = 32. Source: hand calculation in content.mdx: 100 × 88 ÷ 120 = 73.33%.
3. possible = 80, percent = 90% gives earned = 72, letter = A-, missed = 8. Source: hand calculation in content.mdx: 90 × 80 ÷ 100 = 72 points.
4. earned = 45, percent = 75% gives possible = 60. Source: hand calculation in content.mdx: 100 × 45 ÷ 75 = 60 points possible.
5. earned = 105, possible = 100 gives percent = 105%, letter = A, missed = 0, extra = 5. Source: hand calculation in content.mdx: extra credit, 100 × 105 ÷ 100 = 105%.

## FAQ

### How do I calculate a test score percentage?

Divide the points you earned by the points possible and multiply by 100. 43 out of 50 is 43 ÷ 50 × 100 = 86%.

### How many points do I need for a 90%?

Multiply the points possible by 90 and divide by 100. On an 80-point test, 90 × 80 ÷ 100 = 72 points. Enter the points possible and 90 as the score to get it.

### What is 88 out of 120 as a percentage?

88 ÷ 120 × 100 = 73.33%, a C on this page's scale.

### Can a score be above 100%?

Yes, with extra credit. 105 points out of 100 is 105%. The page accepts scores up to 200%. It shows 0 points missed and the extra points as extra credit points.

### Which letter grade scale is used?

The Tompkins Cortland Community College (SUNY) scale: A 93 and up, A- 90 to 92, B+ 87 to 89, B 83 to 86, B- 80 to 82, C+ 77 to 79, C 73 to 76, C- 70 to 72, D+ 67 to 69, D 63 to 66, D- 60 to 62, F 59 and below. Your teacher or school may use other cutoffs.

### What is the difference between this and the test grade calculator?

The maths is the same percent. This page starts from the points you earned; the test grade calculator starts from the number of questions and the number wrong, as a teacher marks a test.

## Sources

- Tompkins Cortland Community College (SUNY), Grading System: grading scale for converting between numerical and letter grades (A 93–100 through F 59 and below). https://www.tompkinscortland.edu/sites/default/files/documents/CollegeNow%20Grading%20Scale.pdf
