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If a student answered 90% of the questions correctly in an exam and there were 2

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Question: If a student answered 90% of the questions correctly in an exam and there were 200 questions in total, how many questions did the student answer incorrectly?

Options:

  1. 10
  2. 15
  3. 20
  4. 25

Correct Answer: 20

Solution: 

The number of questions answered correctly is 90% of 200, which is 180. Therefore, the number of questions answered incorrectly is 200 - 180 = 20.

If a student answered 90% of the questions correctly in an exam and there were 2

Practice Questions

Q1
If a student answered 90% of the questions correctly in an exam and there were 200 questions in total, how many questions did the student answer incorrectly?
  1. 10
  2. 15
  3. 20
  4. 25

Questions & Step-by-Step Solutions

If a student answered 90% of the questions correctly in an exam and there were 200 questions in total, how many questions did the student answer incorrectly?
  • Step 1: Understand that the student answered 90% of the questions correctly.
  • Step 2: Know that there are a total of 200 questions in the exam.
  • Step 3: Calculate how many questions were answered correctly by finding 90% of 200.
  • Step 4: To find 90% of 200, multiply 200 by 0.90 (which is the decimal form of 90%).
  • Step 5: 200 multiplied by 0.90 equals 180. So, the student answered 180 questions correctly.
  • Step 6: To find out how many questions were answered incorrectly, subtract the number of correct answers from the total number of questions.
  • Step 7: Subtract 180 (correct answers) from 200 (total questions): 200 - 180 equals 20.
  • Step 8: Therefore, the student answered 20 questions incorrectly.
  • Percentage Calculation – Understanding how to calculate a percentage of a total number.
  • Subtraction – Using subtraction to find the difference between total questions and correctly answered questions.
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