If a student scores 75 out of 100 on a test, what is their score as a percentage?

Study for the HSC Mathematics Standard 2 Exam. Utilize flashcards and multiple choice questions, each with hints and explanations. Prepare confidently for your exam success!

To find a student's score as a percentage, you use the formula for calculating percentage, which is given by:

[

\text{Percentage} = \left( \frac{\text{Score}}{\text{Total possible score}} \right) \times 100

]

In this case, the student scored 75 out of a total possible score of 100. Plugging the values into the formula gives:

[

\text{Percentage} = \left( \frac{75}{100} \right) \times 100

]

[

\text{Percentage} = 0.75 \times 100 = 75%

]

Thus, the student's score of 75 out of 100 translates directly to 75%. This indicates that the student achieved 75 percent of the total possible score on the test, which is expressed as a percentage.

The other choices represent alternative percentages that do not correspond to the student's actual performance on the test, highlighting the importance of accurately applying the percentage calculation to determine an individual’s achievement.

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