Find the squares of the following numbers
1) Write the first five square numbers.
2) Find the square of 3/8
3) Find the square of 5.5
4) Find the square of 0.7
5) 196 is the square of
(A) 11 (B) 12 (C) 14 (D) 16
6) The square of 2.8 is 78.4 ?
(A) True (B) False (C) None of these
7) The Square of 500 will have ----------- zeroes.
8) Write down the unit digits of the squares of the following numbers:
(i) 24 (ii) 78 (iii) 35
9) The digit at the ones place of 572 is
10) The units digit in the square of 1294 is
11) Which of the following will have 1 at its unit place ?
(A) 192 (B) 172 (C) 182 (D) 162
12) There are ------- perfect squares between 1 and 100.
13) Find the perfect square numbers between
(i) 10 and 20 (ii) 50 and 60 (iii) 80 and 90.
14) 1000 is a perfect square ?
(A) True (B) False (C) None of these
15) Which of the following is not a perfect square ?
(A) 361 (B) 1156 (C) 1128 (D) 1681
16) Show that 500 is not a perfect square
17) Check whether 90 is a perfect square or not by using prime factorization.
18) Which of the following is a square of an even number ?
(A) 144 (B) 169 (C) 441 (D) 625
19) Which of the following is a square of an odd number ?
(A) 256 (B) 361 (C) 144 (D) 400
20) A perfect square can never have the following digit at ones place.
(A) 1 (B) 6 (C) 5 (D) 3
21) Find the least number of four digits that is a perfect square.
22) Find the greatest number of three digits that is a perfect square.
23) Find the smallest perfect square divisible by 3, 4, 5 and 6.
Answers :
1) 1, 4, 9, 16, 25 2) 9/64 3) 30.25 4) 0.49 5) 14 6) false 7) 4 zeroes 8) (i) 6 (ii) 4 (iii) 5 9) 9 10) 6 11) 192 |
12) 8 13) (i) 16 (ii) no (iii) 81 14) false 15) 1128 16) proved 17) Not a perfect square 18) 144 19) 361 20) 3 21) 1024 22) 961 23) 900 |
Find the square root of the following numbers using prime factorization
Questions : 1) 324 2) 625 3) 400 4) 144 5) 1024 6) 256 7) 2025 8) 36 9) 3136 10) 11025 11) 4761 |
Answers : 1) 18 Solution 2) 25 Solution 3) 20 Solution 4) 12 Solution 5) 32 Solution 6) 16 Solution 7) 45 Solution 8) 6 Solution 9) 56 Solution 10) 105 Solution 11) 69 Solution |
Find the square root of the following numbers using long division
Questions : 1) 12321 2) 16384 3) 65536 4) 474721 5) 145161 6) 2116 7) 55225 8) 7744 9) 106276 10) 278784 |
Answers : 1) 111 2) 128 3) 256 4) 689 5) 381 6) 46 7) 235 8) 88 9) 326 10) 528 |
Simplify the following square root expressions
Questions : 1) √64 + √196 2) √40 + √160 3) 2√425 - 3√68 4) √243 - 5√12 + √27 5) -√117 - √52 6) (√17)(√51) 7) (√35)(2√15) 8) (14√117) ÷ (7√52) 9) (7√5)2 10) √(176 + √2401) |
Answers : 1) 22 Solution 2) 6√10 Solution 3) 4√17 Solution 4) 2√3 Solution 5) -5√13 Solution 6) 17√3 Solution 7) 10√21 Solution 8) 3 Solution 9) 245 Solution 10) 15 Solution |
Word problems on square roots
Problem 1 :
You have a square blanket that has an area of 1600 square inches. What is the length of 1 side of the blanket ?
Problem 2 :
A square coffee table has an area of 196 square inches. What is the length of one side of the coffee table ?
Problem 3 :
You have a square flower garden that has an area of 400 square yards. What is the length of one side of the garden ?
Problem 4 :
A square desktop has an area of 324 square inches. What is the length of one side of the desktop ?
Problem 5 :
You want to carpet a square room that has an area of 144 square feet. What is the length of one side of the room ?
Problem 6 :
You are going to decorate one wall of your bedroom by putting border along the top. The wall is a square wall with an area of 256 square feet. What is the length of border you need for the top of this on wall ?
Problem 7 :
To the nearest tenth, what is the square root of 33 ?
Problem 8 :
The area of a square tile is 50 square centimeters. To the nearest tenth of a centimeter, how long is one side of this tile ?
Problem 9 :
Jason's square bedroom has an area of 90 square feet. The length of one side of his room is between what two whole numbers ?
Problem 10 :
Grandma's square garden has an area of 90 square feet. The length of one side of her garden would be between what two whole numbers ? What is the length of this side to the nearest tenth of a foot ?
Answers :
1) 400 inches 2) 14 inches 3) 20 yards 4) 18 inches 5) 12 feet |
6) 16 feet 7) 5.7 8) 7.1 cm 9) 9.48 feet 10) 9.5 feet |
Kindly mail your feedback to v4formath@gmail.com
We always appreciate your feedback.
©All rights reserved. onlinemath4all.com
Jul 13, 25 09:51 AM
Jul 13, 25 09:32 AM
Jul 11, 25 08:34 AM