Calculate Test Score: 5 Points Right, -2 Points Wrong in 20-Question Exam

Question

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?

Step-by-Step Solution

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 5 points.

Points from correct answers=16×5=80 \text{Points from correct answers} = 16 \times 5 = 80 .

  • Calculate the points from incorrect answers:

There are 4 incorrect answers. For each incorrect answer, the student loses 2 2 points.

Points from incorrect answers=4×(2)=8 \text{Points from incorrect answers} = 4 \times (-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 \text{Total Score} = 80 + (-8) = 72 .

Thus, the total grade of the student is 72 72 .

Answer

72 72