Test Score Percentage: worked example
| Correct answers | 42 |
|---|---|
| Total questions | 50 |
| Target score | 90.0% |
| Score | 84.0% |
| Correct answers needed for the target | 45 |
| Questions you can miss and still reach it | 5 |
Many tests are curved or scaled, so the percentage may not match the grade. Weighted sections mean not all questions count the same. Some exams subtract for wrong answers.
Rounding up to a cutoff depends on your instructor's rules.
Correct answers is how many questions you got right, total questions is the number on the test, and the target score is the percentage you want. If the test has partial credit or weighted sections, convert points instead of counting questions. Include only the questions that count toward the score, and check whether unanswered or wrong answers are penalized, as on some standardized tests.
Test Score Percentage: formula
Common error: Comparing percentages across tests of different length. Missing 2 of 10 is 80 percent and missing 2 of 50 is 96 percent, so the same mistake costs far more on a short quiz.
Test Score Percentage: changing Correct answers
| Correct answers | Score | Correct answers needed for the target | Questions you can miss and still reach it |
|---|---|---|---|
| 34 | 68.0% | 45 | 5 |
| 38 | 76.0% | 45 | 5 |
| 42 (example) | 84.0% | 45 | 5 |
| 46 | 92.0% | 45 | 5 |
| 50 | 100.0% | 45 | 5 |
Test Score Percentage: compare input ranges
| Input | Tested from | To | Score: low input | Score: high input | Swing |
|---|---|---|---|---|---|
| Total questions | 45 | 55 | 93.3% | 76.4% | 17.0% (20%) |
| Correct answers | 38 | 46 | 76.0% | 92.0% | 16.0% (19%) |
| Target score | 88.0% | 92.0% | 84.0% | 84.0% | 0.000% |
Test Score Percentage: individual input comparisons
| Input | Value | Score | Correct answers needed for the target | Questions you can miss and still reach it |
|---|---|---|---|---|
| Correct answers | 34 | 68.0% | 45 | 5 |
| 38 | 76.0% | 45 | 5 | |
| 42 | 84.0% | 45 | 5 | |
| 46 | 92.0% | 45 | 5 | |
| 50 | 100.0% | 45 | 5 | |
| Total questions | 40 | 105.0% | 36 | 4 |
| 45 | 93.3% | 41 | 4 | |
| 50 | 84.0% | 45 | 5 | |
| 55 | 76.4% | 50 | 5 | |
| 60 | 70.0% | 54 | 6 | |
| Target score | 86.0% | 84.0% | 43 | 7 |
| 88.0% | 84.0% | 44 | 6 | |
| 90.0% | 84.0% | 45 | 5 | |
| 92.0% | 84.0% | 46 | 4 | |
| 94.0% | 84.0% | 47 | 3 |
Test Score Percentage: combined input changes
| Correct answers / Total questions | 40 | 50 | 60 |
|---|---|---|---|
| 34 | 85.0% | 68.0% | 56.7% |
| 38 | 95.0% | 76.0% | 63.3% |
| 42 | 105.0% | 84.0% | 70.0% |
| 46 | 115.0% | 92.0% | 76.7% |
| 50 | 125.0% | 100.0% | 83.3% |
Test Score Percentage: which assumptions move the result?
Test Score Percentage: values and definitions
| Quantity and definition | Value used |
|---|---|
| Correct answers | 42 |
| Total questions — The number of questions or points the test is scored out of. | 50 |
| Target score — The percentage you want to reach. | 90.0% |
| Score | 84.0% |
| Correct answers needed for the target | 45 |
| Questions you can miss and still reach it | 5 |
Test Score Percentage: half and double Total questions
| Total questions | Score |
|---|---|
| 25 | 168.0% |
| 50 | 84.0% |
| 100 | 42.0% |
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A score is the share you got right, so 42 of 50 is 84 percent. To reach a 90 percent target on the same test you need 45 correct, which means you can miss no more than 5. The calculator rounds the needed count up, since a partial answer does not count.
Check how your teacher rounds. Some courses round 89.5 up to 90 and some do not, so a score just under a cutoff is worth a question.
See how the score affects your course grade with the grade target calculator, and your average on the GPA page. The percentage and percentage change calculators handle related arithmetic. The course’s grade scale determines how a percentage converts to a letter grade.
How do I calculate a test percentage?
Divide the number correct by the total number of questions and multiply by 100. For 42 out of 50, that is 84%.
How many questions can I miss to get a 90%?
Take 10% of the total: on a 50-question test you can miss five and still score 90%.
Do all tests use the raw percentage as the grade?
No. Some are curved or scaled, so the raw percentage may translate to a different letter grade.