Properties of Square Numbers Quiz - CBSE Class 8 Mathematics

Free practice quiz: Properties of Square Numbers (CBSE Class 8 Mathematics). 10 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. Which of the following numbers is a perfect square?

   1. 15
   2. 20
   3. 25
   4. 30
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   Answer: C. 25

   25 is a perfect square because 5 x 5 = 25.

2. If a number ends in 1, its square can end in which of the following digits?

   1. 1, 5
   2. 0, 5
   3. 1, 6
   4. 4, 9
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   Answer: C. 1, 6

   1 x 1 = 1; 11 x 11 = 121; 21 x 21 = 441; 31 x 31 = 961; 41 x 41 = 1681; The pattern of ones digit is 1, 1, 1, 1, 1...; 91 x 91 = 8281. If it ends in 9, the square ends in 1. If it ends in 1, the square ends in 1.

3. Can a perfect square end in 2?

   1. Yes
   2. No
   3. Sometimes
   4. Cannot be determined
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   Answer: B. No

   The ones digit of a perfect square can only be 0, 1, 4, 5, 6, or 9.

4. The sum of two consecutive odd numbers is always:

   1. Odd
   2. Even
   3. Prime
   4. Composite
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   Answer: B. Even

   Let the two consecutive odd numbers be 2n+1 and 2n+3. Their sum is (2n+1) + (2n+3) = 4n+4 = 2(2n+2), which is always even.

5. If the difference between two consecutive squares is 2n+1, then n is?

   1. Odd
   2. Even
   3. Any number
   4. Prime
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   Answer: C. Any number

   Let the consecutive squares be n² and (n+1)². The difference is (n+1)² - n² = n² + 2n + 1 - n² = 2n+1. Therefore, n can be any integer.

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