CBSE Class 8 Mathematics Squares and Square Roots Assignment Set B

Question. If 2+ √x =3, then x = ____.
(A) 1
(B) 7
(C) 7
(D) 49
Answer : D

Question. Square numbers can have ____ at the end.
(A) Odd number of zeroes
(B) Even number of zeroes
(C) Both (A) and (B)
(D) None of these
Answer : B

Question. The value of 

(A) 14
(B) 12
(C) 16
(D) 13 
Answer : C

Question. If the three numbers are in the ratio 2 : 3 : 5, so that the sum of their squares is 608.
Find the numbers respectively.
(A) 8, 12, 20
(B) 12, 8, 20
(C) 20, 8, 12
(D) 20, 12, 8
Answer : A

Question. A certain number of men went to a hotel.
Each man spent as many rupees as one-fourth of the men. If the total bill paid was ₹ 20449, then how many men visited the hotel?
(A) 286
(B) 284
(C) 281
(D) 283
Answer : A

Question. A number is multiplied by 2(1/3) times itself and then 61 is subtracted from the product obtained. If the final result is 9200, then the number is _________
(A) 36
(B) 63
(C) 67
(D) 37
Answer : B

Question. The product of two numbers is 1296. If one number is 16 times the other, find the numbers.
(A) 9, 144
(B) 8, 128
(C) 12, 192
(D) None of these
Answer : A

Question. Find the least number which must be subtracted from 7230 to make it a perfect square.
(A) 15
(B) 12
(C) 5
(D) 10
Answer : C

Question. If √1 + 25/144 = 1 + x/12, then x is _______.
(A) 5
(B) 13
(C) 1
(D) 17
Answer : C

Question. Find the value of

(A) 97/153
(B) 89/51
(C) 101/99
(D) 69/33
Answer : A

Question. The least positive integer with which 661.25 should be multiplied so that the product is a perfect square, is ______.
(A) 4
(B) 5
(C) Both (A) and (B)
(D) None of these
Answer : B

Question. The square root of 36/5 correct upto two decimal places is ________.
(A) 2.68
(B) 2.69
(C) 2.67
(D) 2.66
Answer : A

Question. If

then the value of x is ___.
(A) 0.8
(B) 15
(C) 12.5
(D) 0.16
Answer : B

Question. Find the square root of the following correct upto two decimal places.
(i) 4(5/7)
(ii) 9(9/13)
       (i)             (ii)
(A) 2.52         3.18
(B) 2.28         2.98
(C) 2.17         3.11
(D) 2.17         2.98
Answer : C

Question. The area of a square field is 80 244/729 sq. m.
The length of each side of the field, is ____.
(A) 8.96 m
(B) 10.26 m
(C) 13.54 m
(D) 12.26 m
Answer : A

Question. Which of the following options is TRUE ?
(A) Square of any odd number can be expressed as the sum of two consecutive positive integers.
(B) Square of any natural number can be expressed as the sum of successive odd numbers starting from 1.
(C) For any natural number m > 1, 2m, m2 – 1 and m2 + 1 form pythagorean triplets.
(D) All of these
Answer : D

Question. The greatest 6-digit number, which is a perfect square is ____.
(A) 998001
(B) 995001
(C) 997001
(D) 996001
Answer : A

Question. A housing society has been allotted a square piece of land measuring 2550.25 sq. m. What is the side of the plot?
(A) 50.25 m
(B) 50.5 m
(C) 50.65 m
(D) 50.05 m
Answer : B

Question. Find the value of

(A) 69/16
(B) 54/7
(C) 31/3
(D) 108/13
Answer : A

Question. Study the statements and choose the correct option.
Statement-1 : The square root of certain decimals are obtained by first changing the decimals into fractions with perfect squares as their numerators and denominators.
Statement-2 : (26.1)2 lies between 400 and 900.
(A) Both Statement-1 and Statement-2 are true.
(B) Statement-1 is true but Statement-2 is false.
(C) Statement-1 is false but Statement-2 is true.
(D) Both Statement-1 and Statement-2 are false.
Answer : A

Question. State ‘T’ for true and ‘F’ for false.
(i) The square root of 0.9 is 0.3.
(ii) The square root of a perfect square of n digits will have n (n + 1 / 2)  digits, if n is odd.
(iii) All numbers of a pythagorean triplet are odd.
(iv) There are 200 natural numbers between 100² and 101².
     (i)    (ii)   (iii)   (iv)
(A) T     F      T       F
(B) F     T      F       T
(C) T     T      F       F
(D) F     T      T       F
Answer : B

Question. A general arranges his soldiers in rows to form a perfect square. He finds that in doing so, 60 soldiers are left out. If the total number of soldiers be 8160, find the number of soldiers in each row.
(A) 81
(B) 90
(C) 80
(D) 91
Answer : B

Question. A group of students decided to collect as many paise from each member of the group as is the number of members. If the total collection amounts to ₹ 59.29, the number of members in the group is _______.
(A) 57
(B) 67
(C) 77
(D) 87
Answer : C

Question. Square root of 0.081/0.0064 × 0.484/6.25 × 2.5/12.1 is _____.
(A) 0.45
(B) 0.75
(C) 0.95
(D) 0.99
Answer : A

Question. Find the value of P, Q, R and S.
(i) Square root of 1354.24 is P .
(ii) Square root of 151.29 is Q .
(iii) Square root of 7208.01 is R .
(iv) Square root of 1789.29 is S .
         P            Q            R             S
(A) 38.2        12.9        83.4        41.3
(B) 36.8        11.3        86.9        41.7
(C) 35.4        13.3        85.1        42.9
(D) 36.8        12.3        84.9        42.3
Answer : D

1. Which of the following are perfect Squares?

(i) 4225 (ii) 4517 (iii) 1024

2. Find the least number by which 7688 should be multiplied so that the resulting number becomes a perfect square.

3. Find the greatest 3-digit number which is a perfect square.

4. Find the least 4-digit number which is a perfect square.

5. Express each of the following as the sum of two consecutive natural numbers.

(i) 13 ² (ii) 19²

6. Express 100 as the sum of 10 odd natural numbers.

7. Write the digit at units place in each of the following :

(i) 37² (II) 46²

8. State with the reason ; which of the following cannot be perfect squares?

(I) 5602 (II) 5617 (III) 12769

9. How many non square natural numbers are there between 11² and 13² ?

10. Express 29 as difference of the squares.

11. Fill in the blanks

(I) Square of every even natural number is an ………………..number.

(II) A natural number ending with odd number of zeroes…………………..be a perfect square.

(III) The square of a natural number n is equal to sum of first n……………… natural numbers.

(III) The square of a natural number n is equal to sum of first n……………… natural numbers.

Marks………………… Grade………………….. Teachers Sig._________

DELHI PUBLIC SCHOOL, SRINAGAR

TOPIC: Square and square roots Work sheet - 2nd

1. By prime factorization find the square root of;
(i) 8281 (ii) 7744

2. By division method ,find the square root of;
(i) 5929 (ii) 3364

3. Find square root of ;
(i) 243/867
(ii) 1183/5193

4. Find the square root of ; (i) 2.89 (ii) 26.01

5. Find the value of √5 correct to three decimal places;

6. The area of a square field is 60025 sqm. Find the perimeter of the field.

7. Find the square root of 362.1409.

8. Tick the correct alternative:

(i) The square root of 37.21 is
(a) 6.9
(b) 5.9
(c) 6.1
(d) 5.1

(ii) The square root 0.4 is
(a) 0.2
(b) 0.02
(c) 0.63
(d) 0.16

(ii) Which of the following is not a square number
(a) 625
(b) 10000
(c) 1000
(d) 100

(iv) The square root of 12321 will have
(a) 2digits
(b) 3digits
(c) 4digits
(d) 5digits

(v) The least number subtracted from 743 to get a perfect square
(i) 14
(b) 41
(c) 98
(d) 118