A teacher decides to award the following points:
5 points for each correct answer.
-2 for each incorrect answer.
-4 for each unanswered question.
There were 20 questions on the exam.
What is the score of the student who answers all the questions correctly, except for 4 questions that are left unanswered?
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A teacher decides to award the following points:
5 points for each correct answer.
-2 for each incorrect answer.
-4 for each unanswered question.
There were 20 questions on the exam.
What is the score of the student who answers all the questions correctly, except for 4 questions that are left unanswered?
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Identify the given information
The problem states there are 20 total questions, with 5 points for each correct, -2 for each incorrect, and -4 points for each unanswered question. The student left 4 questions unanswered.
Step 2: Calculate the number of correct answers
Since the student answered all questions except 4, the correct number of answers is 20 - 4 = 16.
Step 3: Calculate the score from correct answers
The score for correct answers is points.
Step 4: Calculate the score from unanswered questions
We have 4 unanswered questions, contributing points.
Step 5: Sum the contributions to get the total score
Add the scores from the correct and unanswered questions: .
Therefore, the solution to the problem is .
What will be the sign of the result of the next exercise?
\( (-2)\cdot(-4)= \)
The teacher designed this penalty system to encourage students to attempt all questions. Getting -4 for blank answers is worse than risking -2 for a wrong guess!
Make a simple chart: Correct answers × 5, Incorrect answers × (-2), and Unanswered × (-4). Calculate each category separately, then add them together.
You'd have three calculations instead of two! For example: 10 correct (50 points) + 6 wrong (-12 points) + 4 unanswered (-16 points) = total points.
Absolutely! If a student answers mostly incorrectly or leaves many blank, the negative points can outweigh the positive ones. That's how this scoring system works.
First, verify your quantities add up to 20 total questions. Then recalculate each category: 80 + (-16) = 64. Finally, ask yourself if the result makes sense!
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