SQUARE AND SQUARE ROOTS
I. Solve the following.(1M)
1.Find
2.Fill
the square root of 900.
in the blank using the given pattern
72 = 49
672 = 4489
6672 = 444889
66672 = _____
3.Without
4.Find
adding find the sum of 1 + 3 + 5+ 7 + 9 + 11 + 13 + 15 + 17
the square root of 1296
5.Express
92 as sum of consecutive odd numbers.
6.How
many numbers lie between squares of 99 and 100.
7.Find
the square of 35 (without actual multiplication).
8.Define a square of a number?
9. Is 6 a perfect square? Why?
10. Find the square of 3000?
11. Express 81 is the sum of odd numbers.
12. The value of 10000012=?
13. The value of 111.112 is ?
14. The value of 777772 is ?
15. Express 25 is the sum of odd numbers?
16. Product of any two square numbers is ?
17. √336 = ___________
18. √ 324=________
19. √ 7056= __________
20. Perimeter of a square is ________
21. √ 0.000081 = ________
22. √ (0.05)2 =________
23. √ 0.16= ________
24. Explain about Pythagorean triplet?
25.(0.5)2 =________
26. √0.5625 =________
II. Choose the correct answer.(1M)
1..Numbers
like 1, 4, 9, 16, 25,… are known as:
(A) Set of whole numbers
(B) Square numbers (C) Integers
2.Find
perfect square between 30 and 40.
(A) 32
(B) 35
3..Square
(B) 1, 2, 3, 4
of
(B)
(D) 1, 4, 6, 8
(C)
(D)
a number has 1 or 9 in the units place, then its square end with digit:
(A) 9
6.If
(C) 4, 5, 6, 7
would end with digit 1.
(A)
5.If
(D) 39
number does not end with at units place.
(A) 2, 3, 7, 8
4.Which
(C) 36
(D) None
(B) 1
(C) 3
(D) 2
a number has 4 or 6 in its unit's place, then the square of that number ends
with the digit:
(A) 4
7.What
(A) 7
8.What
(B) 2
(C) 6
(D) None
will be the "one's digit" in the square of 26387.
(B) 9
(C) 3
(D) 8
will be the number of zeros in the square of 400.
(A) 2
9.Non
(B) 4
(C) 8
(D) 6
perfect square numbers between the squares of the numbers (n) and (n + 1)
is:
(A) None
10.How
(B) 2
(B) 12
(B) 1001
(D) 13
(C) 2000
(D) 1999
of successive odd numbers 1, 3, 5, 7, 9 and 11 is
(A) 36
13.Sum
(C) 10
many non square numbers lie between 10002 and 10012.
(A) 1000
12.Sum
(D) 2n
many numbers are there between 52 and 62
(A) 11
11.How
(C) Infinite
(B) 25
(C) 30
(D) 40
of first 'n' odd natural numbers is
(B) n2 (C) (n - 1)
(A) (n + 1)
14.Express
212 as the sum of two consecutive integers
(A) 220, 199
15.Pythagorean
(A) 6, 8, 10
16.Square
(A) -11
19.What
(C) 221, 222
(D) None
triplet whose one number 6 is
(B) 6, 9, 12
(C) 3, 4, 6
(B) Only (-11)
(D) 6, 5, 4
(C) Both 11 & (-11)
(D) None of these
root of 121 is
(B) 11
18.Square
(A) 80
(B) 220 and 221
of what number is 121
(A) Only11
17.Square
(D) 2n
(C) Both
(D) None
(C) 32
(D) 3200
root of 6400 is
(B) 64
could be the possible "one's" digits of the square root of 99856.
(A) 6
(B) 4
20.Number
(C) Both 4 & 6 (D) None
of digits in the square root of 9801 (without any calculation).
(A) 1
(B) 2
21.Number
(C) 3
of digits in the square root of 529 (without any calculation)
(A) 1
(B) 2
22.The
(C) 3
(D) 4
length of the side of a square whose area is 441 m2 is
(A) 29 m
23.Square
(B) 21 m
(C) 31 m
(B) square
24.Positive
(C) Cube
(B) (ii)
(C) (iii)
(B) 2.5
26.Number
(C) 3.5
(B) 3
27.In
a right triangle ABC,
(C) 4
(B) 12cm
28.Square
root of even square number is
(B) Even
(D) 5
= 900 , If AC = 13cm, BC = 5cm then AB is equal to:
(A) 10cm
(A) 1501
(D) 0.25
of digits in the square root of 27225 (without any calculation)
(A) 2
29.Square
(D) None of these
root of decimal number 12.25 is
(A) 6.05
(A) Odd
(D) None
square root of a number is denoted by the symbol
(A)
25.Square
(D) 41 m
root is the inverse operation of
(A) 21
30.49
(D) 4
(C) 8cm
(C) Both
(D) 6cm
(D) None
of 39 is (without actual multiplication)
(B) 1529
(C) 1521
as sum of 7 odd numbers in expressed as
(D) 1527
(A) 1 + 3 + 5 + 7 + 9 + 11 + 13
(B) 1 + 3 + 5 + 7 + 11 + 13 + 15
(C) 11 + 7 + 5 + 3 + 1 + 9 + 15
(D) None
39.What
will be the unit digit of the square of 555.
(A) 2
(B) 3
40.Number
(A) 3
(D) 5
of digits in the square root of a perfect square number 14400.
(B) 5
41.Find
(C) 4
(C) 2
(D) 4
the number of digits in the square root of 390625.
III. Solve the following.(2M)
1.How many non perfect square numbers lie between 225 and 256.
2. Express 100and 16 as sum of add numbers.
3. Find the Pythagorean triplet whose smallest number is 20.
4. Find 57 by using identity?
5. Check whether (8,9,14) is a Pythagorean triplet?
6. Find the number of digits in the square root of the following numbers with out finding square
root.
a) 34596
b)14584761
7.Find
the Square root of 1764.
8.Find
the square root of 3136 by division method.
9.Area
of a square plot is 4489 m2. Find the side of the square plot.
10.Find
the square root of 7.29.
11.Find
the side of a square whose area is 1024 m2.
12.Write Pythagorean triplet , one of whose number is 4.
13.Find
372 using identity (a + b)2 = a2 + 2ab + b2.
14.Find
the square root of 9801.
15.Find
the Square root of 36 by Successive subtraction.
IV. Solve the following.(3M)
1.
The area of the square root is 50625m2 . Find the perimeter
2.
Find the square root 9801 by division method.
3.
Find the square root of 84.8281 by division method.
4.
Find the square root of 900 by prime factorisation method
V. Solve the following.(4M)
1.Is
6561 a perfect square .If not by what number we should multiply to get perfect
square.
2.Find
the square root of 9.3025 up to two places of decimal.
3.Find
the square root of 306452.
4.Find
the square root of 390.0625.
5.The
area of a square field is 50625 m2 . Find the perimeter of the field?
6.Find
the least number which must be added to 54756 to obtain a perfect square.
7.Find the smallest perfect square which is divisible by 9, 10, 11 and also find the square root.