Math Problem Statement

math: a student received a 92% on their exam, which had 60 questions. How many questions did the answer incorrectly

Solution

To determine how many questions the student answered incorrectly, we can first calculate how many questions they answered correctly and then subtract that from the total number of questions.

  1. The student scored 92%, which means they got 92% of the 60 questions correct.

92%×60=92100×60=55.292\% \times 60 = \frac{92}{100} \times 60 = 55.2

The student got 55.2 questions correct, but since the number of questions must be whole, we round to 55 questions answered correctly.

  1. To find the number of questions answered incorrectly:

6055=560 - 55 = 5

So, the student answered 5 questions incorrectly.

Would you like further details or have any other questions?

Here are 5 related questions to explore this further:

  1. If the exam had 75 questions and the student scored 84%, how many were answered incorrectly?
  2. What would the student's percentage be if they answered 48 out of 60 questions correctly?
  3. If the student answered 10 questions incorrectly on an exam with 80 questions, what percentage did they get right?
  4. If a student answered 92% of the questions correctly and there were 50 questions, how many did they answer incorrectly?
  5. How would a grading scale change if partial credit was allowed on an exam?

Tip: To convert a percentage into a number of questions answered correctly, multiply the percentage by the total number of questions, then round if necessary.

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Math Problem Analysis

Mathematical Concepts

Percentages
Basic Arithmetic

Formulas

Percentage of total = (Percentage / 100) * Total

Theorems

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Suitable Grade Level

Grades 5-7