In math class it was decided to give:
5 Points for each correct answer,
(-2) for each incorrect answer,
(-4) for each answer without a solution.
In the exam there were 20 questions.
What is the grade of the student who solved all questions correctly, except 4 questions he/she got wrong?
Let's follow the step-by-step solution:
- Calculate the points from the correct answers:
There are 16 correct answers. For each correct answer, the student gets 5 points.
Points from correct answers=16×5=80.
- Calculate the points from incorrect answers:
There are 4 incorrect answers. For each incorrect answer, the student loses 2 points.
Points from incorrect answers=4×(−2)=−8.
- Calculate the total score:
The student answered all questions, so there are no unanswered questions.
The total score is the sum of the points from correct and incorrect answers.
Total Score=80+(−8)=72.
Thus, the total grade of the student is 72.