Percentage:
Percentage is a way of expressing a part of a whole as a fraction of 100. It is a commonly used method to represent a proportion or a relative quantity. In the context of academics, percentage is often used to evaluate performance and determine grades. It is calculated by dividing the actual value by the total value and multiplying the result by 100.

Percentile:
Percentile represents the relative position of a particular value within a given dataset. It indicates the percentage of values that are equal to or below a specific value. Percentiles are commonly used in statistics and standardized tests to compare an individual's performance with a larger group. For example, if a student scores in the 90th percentile, it means they have performed better than 90% of the test-takers.

Score:
A score is a numerical value that represents the performance or achievement of an individual in a particular assessment or test. It can be based on various criteria, such as correct answers, total points earned, or a predetermined scoring system. Scores are used to evaluate and compare the performance of individuals or groups. In academic settings, scores are often used to determine grades or rankings.

Cut-off:
A cut-off is a minimum score or threshold that needs to be achieved in order to qualify for a specific opportunity or meet a certain requirement. Cut-offs are commonly used in competitive exams, college admissions, job applications, and other selection processes. They serve as a benchmark to filter out candidates who do not meet the desired criteria. For example, if a college has a cut-off of 80%, it means that students with scores below 80% will not be eligible for admission.

Summary:
- Percentage is a proportion expressed as a fraction of 100.
- Percentile indicates the position of a value relative to a dataset.
- Score represents the numerical value of performance or achievement.
- Cut-off is a minimum score required to qualify for a specific opportunity or meet a certain requirement.