chapter-6 Square And Square Roots class 8th

Chapter – 6 ( Square And Square Roots)

Class – VIII ( MATHS)

                                             Very Short Answer Type Questions                                         ( 1 Mark)

Q1. Which of the following can be a perfect square?

        (i)   A number ending in 3 or 7

        (ii)  A number ending with odd number of zeros

        (iii) A number ending with even number of zeros

        (iv) A number ending in 2.

Q2. Which of the following is the number non-perfect square numbers’ between the square of the numbers n and n + 1?

      (i) n + 1            (ii) n                     (iii) 2n                (iv) 2n + 1

Q3. Which of the following is the number of non-perfect square number between 172 and 182?

      (i) 613              (ii) 35                   (iii) 34                (iv) 70

Q4. Which of the following is the number of zeros in the square of 900?

     (i) 3                  (ii) 4                       (iii) 5                  (iv) 2

Q5. Which of the following can be a perfect square?

        (i)   A number ending in 3 or 7

        (ii)  A number ending with odd number of zeros

        (iii) A number ending with even number of zeros

        (iv) A number ending in 2.

                                                Short Answer Type Questions                                         ( 2 Mark)

Q6. Find the square root of 144 by the method of repeated subtraction.

Q7.   Q8. Factorise: p² – 10p + 25.

Q8. Write a Pythagorean triplet whose smaller member is 6.

Q9. Find the square root of 

                                                    Long Answer Type Questions                                         ( 3 Mark)

Q10.  The area of a square field is 8281 m2. Find the length of its side.

 Q11.  Is 2352 a perfect square? if not, find the smallest number by which 2352 must be multiplied so that the product is a perfect square. Find the square root of new number.

Q12.  1225 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.

Q13.  Find the smallest number by which 3645 should be divided so as to get a perfect square. Also, find the square root of the number so obtained.

                                       Very Long Answer Type Questions                                         ( 4 Mark)

Q14. For each of the following numbers, find the smallest number by which we divide it so as to get a perfect square. Also find the square root of the square numbers so obtained.

     (a) 37845                    (b) 2800                  (c) 45056

Q15. The students of Class VIII of a school donated Rs 2401 for Prime Minister��s National Relief Fund. Each student donated as many rupees as the number of students in the Class. Find the number of students in the Class.

Q16. There are 500 children in a school. For a P.T. drill they have to stand in such a manner that the number of rows is equal to number of columns. How many children would be left out in this arrangement?

Q17. A school collected Rs 2304 as fees from its students. If each student paid as many paise as there were students in the school, how many students were there in the school?

HOTS

Q18. Find 

Q19. Find the smallest number by which 1800 must be multiplied so that it becomes a perfect square. Also find the square root of the perfect square so obtained.

Q20. Q18. 2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.