Math Problem Statement

Ben did a quiz of 

50

 questions. Every correct answer, incorrect answer and unanswered question was awarded 

2

 points, 

−2

 points and 

0

 point respectively. There were 

32

 correct answers,

9

 unanswered questions, and the rest were incorrect. What was the number of points Ben got?

Solution

To calculate the number of points Ben received, we can follow these steps:

  1. Identify the given information:

    • Total number of questions: 50
    • Correct answers: 32
    • Unanswered questions: 9
    • Points for each correct answer: 2 points
    • Points for each incorrect answer: -2 points
    • Points for each unanswered question: 0 points
  2. Determine the number of incorrect answers: Incorrect answers=Total questions(Correct answers+Unanswered questions)=50(32+9)=5041=9\text{Incorrect answers} = \text{Total questions} - (\text{Correct answers} + \text{Unanswered questions}) = 50 - (32 + 9) = 50 - 41 = 9

  3. Calculate the total points:

    • Points from correct answers: 32×2=6432 \times 2 = 64 points
    • Points from incorrect answers: 9×2=189 \times -2 = -18 points
    • Points from unanswered questions: 9×0=09 \times 0 = 0 points
  4. Add up all the points: Total points=64+(18)+0=6418=46 points\text{Total points} = 64 + (-18) + 0 = 64 - 18 = 46 \text{ points}

So, Ben got 46 points.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What would Ben's score be if he had answered all the questions correctly?
  2. How many incorrect answers would it take for Ben's score to drop below 40 points?
  3. If the quiz had 10 more questions with the same scoring rules, how would that affect Ben's score?
  4. How would Ben's score change if each incorrect answer was worth -3 points instead of -2 points?
  5. If Ben left all unanswered questions and incorrect answers, what would his score be?

Tip: When analyzing multiple-choice quizzes or tests, carefully count each category (correct, incorrect, unanswered) to calculate the total score accurately.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Scoring Systems

Formulas

-

Theorems

-

Suitable Grade Level

Grades 7-9