Question

A nursing review test has 130 questions, and you answer 120 correctly. What is your score, as a percentage?

Short answer

Your score is approximately 92.31%.

Step-by-step solution

Understand the Problem

We need to find out what percentage of the total questions you answered correctly. You answered 120 questions correctly out of 130 total questions.

Set up the Percentage Formula

The formula to find the percentage is \( \text{Percentage} = \left( \frac{\text{Number of Correct Answers}}{\text{Total Questions}} \right) \times 100 \).

Plug in the Known Values

Insert the values into the formula: \( \text{Percentage} = \left( \frac{120}{130} \right) \times 100 \).

Perform the Division

Divide 120 by 130 to get approximately 0.9231.

Calculate the Percentage

Multiply 0.9231 by 100 to convert it to a percentage, which results in approximately 92.31%.

Key concepts

Nursing Review

When preparing for a nursing review, understanding and mastering the calculation of percentages is crucial. In nursing, being able to accurately determine percentages can apply to a variety of situations, from interpreting test results to calculating medication doses. Mastering this skill can be immensely beneficial for both academic success and practical healthcare applications.

In the context of the given exercise, the task is to determine the score of a nursing test as a percentage. This involves assessing the proportion of correctly answered questions relative to the total number of questions. By improving percentage calculation skills, nursing students can ensure they have the quantitative understanding necessary for both their exams and future professional duties. By grasping the fundamental concepts of percentage calculation, students can also gain confidence in tackling more complex mathematical problems they might encounter in their studies.

Problem-Solving Steps

Breaking down the problem-solving process into manageable steps can make calculations more straightforward and less intimidating. Here’s how you can approach the percentage calculation question methodically:

• Understand the Problem: Recognize that you need to find what fraction of 130 total questions is represented by the 120 correct answers. This helps to form the basis of your calculation.
• Set up the Equation: Use the percentage formula \( ext{Percentage} = rac{ ext{Correct Answers}}{ ext{Total Questions}} imes 100 \) which clearly outlines the necessary calculations.
• Insert the Values: Substitute the numbers into the formula. In this case, you replace "Correct Answers" and "Total Questions" with 120 and 130, respectively.
• Compute the Division: Carry out the division of the correct answers by the total number of questions, which leads to approximately 0.9231.
• Convert to Percentage: Finally, multiply the resulting decimal by 100 to get the final percentage of correct answers, which results in about 92.31%.

Following these clear, logical steps empowers you to tackle percentage calculations confidently.

Math Formulas

Understanding and applying math formulas is essential in solving percentage problems, like the one we've encountered. The percentage formula is remarkably versatile and crucial for various computations.

The formula: \[ ext{Percentage} = rac{ ext{Number of Correct Answers}}{ ext{Total Questions}} imes 100 \] allows you to convert a ratio into a percentage, showcasing how many parts out of 100 you have achieved success in.

• Dividing Correct Answers by Total Questions: This part of the formula gives you a decimal or a fraction, representing your success rate in testing performance.
• Multiplying by 100: This step translates your success rate into a more understandable percentage form, emphasizing the ease of comparative evaluation.

Being familiar with formulas boosts your solving efficiency and reinforces your confidence in tackling other mathematical challenges. Understanding these core concepts not only aids in achieving academic targets but also in understanding the mathematics involved in everyday healthcare scenarios, such as dosage calculations and statistical data evaluations.