Out of the following, which one is the example of open question in Mathematics ?

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RPSC 2nd Grade Mathematics (Held on 18th Feb 2019) Official Paper
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  1. What are the factors of 10 ?
  2. What is the perimeter of rectangle having side 20 and 10 cm ?
  3. Find a set of 6 numbers with a median of 4.
  4. What do the interior angles of a triangle add up to ?

Answer (Detailed Solution Below)

Option 3 : Find a set of 6 numbers with a median of 4.
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Detailed Solution

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The choice of questions depends upon the topic of research. Questions in mathematics can be grouped into two categories that are open-ended and close-ended questions.

 Key Points

Open-ended questions:

  • Open-ended questions give liberty to the respondents to express their views.
  • This type of question gives tremendous freedom to the respondents to answer according to their interpretation. 
  • Open-ended questions are developed to prompt learners to apply concepts, solve problems, and make mathematical connections.
  • No routine or prescribed methods are given for responding to open questions.
  • It makes teachers able to observe the strategies, skills, logic, concepts, and connections used by the learners to solve the questions. 
    • Ex: Find a set of 6 numbers with a median of 4.

Additional Information

  • Close-ended questions: Close-ended questions are provided with a list of acceptable answers. A respondent has to pick and choose the right answer.
    • Ex: What are the factors of 10 ?

​​Hence, we can conclude that finding a set of 6 numbers with a median of 4  is an example of an open question in Mathematics.

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