Download App

MATHS 1 Marks Question

Squares and Square Roots · Gujarat Board (GSEB) STD 8 (GSEB - English Medium). 90 questions.

Questions · Page 1 of 2

1 Marks Question

🎯

Test yourself on this topic

50 questions · timed · auto-graded

Question 11 Mark
Without calculating square root, find the number of digits in the square root of the following numbers.
(i) 36864
Answer
(i)Given number is 36864 .
By placing bars, we get
$\overline{3} ~\overline{68} ~\overline{64}$
Since, there are 3 bars, the square root will be of 3 digits.
View full question & answer→
Question 21 Mark
Without calculating square root, find the number of digits in the square root of the following numbers.
(i) 100000000
Answer
(i) Given number is 100000000 .
By placing bars, we get
$\overline{1}~ \overline{00} ~\overline{00} ~\overline{00} ~\overline{00}$
Since, there are 5 bars, the square root will be of 5 digits.
View full question & answer→
Question 31 Mark
Without calculating square root, find the number of digits in the square root of the following numbers.
(i) 25600
Answer
(i) Given number is 25600.
By placing bars, we get
$\overline{2} ~\overline{56}~ \overline{00}$
Since, there are 3 bars, the square root will be of 3 digits.
View full question & answer→
Question 41 Mark
Write the square, making use of the above pattern (from NCERT Page No. 57).
(i) $111111^2$$\quad$(ii) $1111111^2$
Answer
Using the following pattern for finding the square of the given number, we get
$\begin{aligned} 1^2 & =1 \\ 11^2 & =121 \\ 111^2 & =12321 \\ 1111^2 & =1234321 \\ 11111^2 & =123454321 \\ 111111^2 & =12345654321 \\ 1111111^2 & =1234567654321\end{aligned}$
(i) $ 111111^2=12345654321$
(ii) $1111111^2=1234567654321$
View full question & answer→
Question 51 Mark
Do you think the reverse is also true l.e. Is the sum of any two consecutive positive Integers is perfect square of a number? Give example to support your answer.
Answer
No, the sum of any two consecutive positive integers are not always a perfect square. Here, some of the examples are given below:
$4+5=9=3^{2} \quad$ [perfect square]
$3+4=7 \quad$ [not perfect square]
and $\quad 11+12=23 \quad$ [not perfect square]
View full question & answer→
Question 61 Mark
Which of $123^2, 77^2, 82^2, 161^2, 109^2$ would end with digit 1?
Answer
We know that if a number has 1 or 9 in the unit place. then its square ends with digit 1. Therefore. $161^{2}$ and $109^{2}$ would end with digit 1.
View full question & answer→
Question 71 Mark
Write five numbers which you cannot decide just by looking at their unit digit (or ones place) whether they are square numbers or not.
Answer
A list of five numbers for which we cannot decide whether they are square numbers just by looking at their unit digits are 1331, 2744, 3375, 17576 and 24389.
View full question & answer→
Question 81 Mark
Find the least number which must be added to each of the following numbers, so as to get a perfect square. Also, find the square root of the perfect square, so obtained.
6412
Answer
Perfect square number $=6561$
Square root of 6561 is 81.
View full question & answer→
Question 91 Mark
Find the least number which must be added to each of the following numbers, so as to get a perfect square. Also, find the square root of the perfect square, so obtained.
1825
Answer
Perfect square number $=1849$
Square root of 1849 is 43.
View full question & answer→
Question 101 Mark
Find the least number which must be added to each of the following numbers, so as to get a perfect square. Also, find the square root of the perfect square, so obtained.
252
Answer
Perfect square number $=256$
Square root of 256 is 16.
View full question & answer→
Question 111 Mark
Find the least number which must be subtracted from each of the following numbers, so as to get a perfect square. Also, find the square root of the perfect square so obtained.
4000
Answer
Perfect square number $=3969$
Square root of 3969 is 63.
View full question & answer→
Question 121 Mark
Find the least number which must be subtracted from each of the following numbers, so as to get a perfect square. Also, find the square root of the perfect square so obtained.
825
Answer
Perfect square number $=784$
Square root of 784 is 28.
View full question & answer→
Question 131 Mark
Find the least number which must be subtracted from each of the following numbers, so as to get a perfect square. Also, find the square root of the perfect square so obtained.
3250
Answer
Perfect square number $=3249$
Square root of 3249 is 57.
View full question & answer→
Question 171 Mark
Find the square root of the following decimal number
7.29
Answer
Given decimal number is 7.29.
Firstly, place the bar over the number and then use the division method
$\therefore\sqrt{7.29}=2.7$
Hence, the square root of 7.29 is 2.7.
Image
View full question & answer→
Question 181 Mark
Find the square root of the following decimal number
2.56
Answer
Given decimal number is 2.56.
Firstly, place the bar over the number and then use the division method
$\therefore\sqrt{2.56}=1.6$
Hence, the square root of 2.56 is 1.6.
Image
View full question & answer→
Question 191 Mark
Find the number of digits in the square root of each of the following number (without any calculation).
(i) 390625
Answer
Given number is 390625.
By placing bars, we get $\overline{39}~ \overline{06}~\overline{25}$
Since, there are 3 bars, the square root will be of 3 digits.
View full question & answer→
Question 201 Mark
Find the number of digits in the square root of each of the following number (without any calculation).
(i) 27225
Answer
Given number is 27225.
By placing bars, we get $\overline{2}~\overline{72}~\overline{25}$
Since, there are 3 bars, the square root will be of 3 digits.
View full question & answer→
Question 211 Mark
Find the number of digits in the square root of each of the following number (without any calculation).
(i) 4489
Answer
Given number is 4489.
By placing bars, we get $\overline{44} ~\overline{89}$
Since, there are 2 bars, the square root will be of 2 digits.
View full question & answer→
Question 221 Mark
Find the number of digits in the square root of each of the following number (without any calculation).
(i) 144
Answer
Given number is 144.
By placing bars, we get $\overline{1}~ \overline{44}$
Since, there are 2 bars, the square root will be of 2 digits.
View full question & answer→
Question 231 Mark
Find the number of digits in the square root of each of the following number (without any calculation).
(i) 64
Answer
Given number is 64.
By placing bars, we get $\overline{64}$
Since, there are 1 bar, the square root will be of 1 digit.
View full question & answer→
Question 351 Mark
For each of the following numbers, find the smallest, whole number by which it should be divided, so as to get a perfect square. Also, find the square root of the square number so obtained.
1620
Answer
324 is a perfect square.
The square root of 324 is 18.
View full question & answer→
Question 361 Mark
For each of the following numbers, find the smallest, whole number by which it should be divided, so as to get a perfect square. Also, find the square root of the square number so obtained.
2800
Answer
400 is a perfect square.
The square root of 400 is 20.
View full question & answer→
Question 371 Mark
For each of the following numbers, find the smallest, whole number by which it should be divided, so as to get a perfect square. Also, find the square root of the square number so obtained.
2645
Answer
529 is a perfect square.
The square root of 529 is 23.
View full question & answer→
Question 381 Mark
For each of the following numbers, find the smallest, whole number by which it should be divided, so as to get a perfect square. Also, find the square root of the square number so obtained.
396
Answer
36 is a perfect square.
The square root of 36 is 6.
View full question & answer→
Question 391 Mark
For each of the following numbers, find the smallest whole number by which it should be multiplied, so as to get a perfect square number. Also, find the square root of the square number, so obtained.
768
Answer
2304 is a perfect square.
The square root of 2304 is 48.
View full question & answer→
Question 401 Mark
For each of the following numbers, find the smallest whole number by which it should be multiplied, so as to get a perfect square number. Also, find the square root of the square number, so obtained.
1458
Answer
2916 is a perfect square.
The square root of 2916 is 54.
View full question & answer→
Question 411 Mark
For each of the following numbers, find the smallest whole number by which it should be multiplied, so as to get a perfect square number. Also, find the square root of the square number, so obtained.
2028
Answer
6084 is a perfect square.
The square root of 6084is 78.
View full question & answer→
Question 421 Mark
For each of the following numbers, find the smallest whole number by which it should be multiplied, so as to get a perfect square number. Also, find the square root of the square number, so obtained.
1008
Answer
7056 is a perfect square.
The square root of 7056 is 84.
View full question & answer→
Question 501 Mark
Without doing any calculation, find the number which are surely not perfect squares.
441
Answer
We know that the numbers end with $2,3,7$ or 8 , can never be a perfect square.
In a number 441, end digit is 1 , which is not one of 2 , 3,7 or 8 . So, it can be a perfect square.
View full question & answer→
Generate Paper FreeAll Squares and Square Roots topics
1 Marks Question - MATHS STD 8 Questions - Vidyadip