Mastering the Firefighter Exam: How to Calculate Your Required Score

If a firefighter applicant scored 80%, 82%, 90%, and 87%, what score is needed on the fifth exam for an average of 87%?

• A. 87%
• B. 89%
• C. 96%
• D. 98%

Answer: (C)

To find the score needed on the fifth exam for the applicant to achieve an average of 87%, we begin by calculating the total score required to reach this average for five exams. First, we determine what the total score must be for five exams to average 87%. The average score is calculated by dividing the total score by the number of exams. Therefore, for an average of 87% over five exams, the equation is: Total Score / 5 = 87% To find the total score, we multiply 87 by 5, which equals 435. This means the applicant needs to accumulate a total of 435 points from all five exams. Next, we sum the scores from the first four exams: 80 + 82 + 90 + 87 = 339 To find out what is needed on the fifth exam, we subtract the current total score from the desired total: 435 - 339 = 96 This calculation shows that a score of 96% on the fifth exam is necessary to achieve an average of 87%. The correct answer is thus identified as 96%, as it satisfies the condition for the desired average.

Preparing for the firefighter exam can be both thrilling and daunting. Imagine walking into that testing room, your heart racing with excitement, knowing you’ve studied hard and practiced diligently. But have you ever stopped to think about how your scores from previous exams stack up, especially when aiming for an average?

Let’s break down an example that touches on something many applicants face—a crucial scoring calculation. Picture this: You’ve taken four exams already and scored 80%, 82%, 90%, and 87%. You're now wondering what score you need on your fifth exam to achieve an average of 87%. Don’t sweat it; I've got your back on this one!

Calculating Your Averages: Let’s Get to the Numbers

Okay, here’s the deal. To find the average score across five exams, you first need to determine the total score required for that average. This is where it gets a bit mathematical but stick with me! For an average score of 87%, you set up the equation:

Total Score / 5 = 87%

To find out how many points you need in total, you just multiply 87 by 5. Drumroll, please! That brings us to a total of 435 points for all five exams combined.

Now, it’s time to tally up those scores from the first four exams. Here’s how it looks:

80 + 82 + 90 + 87 = 339

That’s right; you’re not far off from your target. Now, just to find out what score is needed on the fifth exam, we subtract that total from the desired sum:

435 - 339 = 96

Bingo! You need a score of 96% on the fifth exam to hit that average of 87%. Quite the math puzzle, huh? But don't worry, calculations like these are part of the journey, and they can be mastered with practice and a bit of dedication.

Why This Matters

Now, you might be thinking, “Why should I care about averages?” Well, knowing how to calculate your required scores not only helps you set realistic goals but also can motivate you as you tackle each new challenge. Think about it like this: setting a goal and smashing it feels so good! And with the right focus, you'll enter that exam room equipped with clarity and confidence.

In the end, mastering these kinds of calculations is more than just numbers—it’s about gearing yourself up for success in a remarkable field that demands your best. And while numbers might seem intimidating at first glance, they can serve as both a guide and a challenge. So as you prepare, keep these calculations close at heart, and remember: you're aiming not just for the average but for the fire within you to shine!

So, are you ready to tackle your firefighter journey? Forge ahead with both passion and purpose, and don't forget, getting that 96% can be the spark that ignites your firefighting career! Good luck, future firefighters; you’ve got this!