A Perfect Square Never Ends with 2,3,7 or 8 as Last Digit

Q.

Question 2 (iii)

The following number is obviously not a perfect square. Give reasons.

7928

Q.

The following numbers are obviously not perfect squares. Give reason.

(i) 1057 (ii) 23453

(iii) 7928 (iv) 222222

(v) 64000 (vi) 89722

(vii) 222000 (viii) 505050

Q.

Question 2 (vii)

The following number is obviously not a perfect square. Give reasons.

222000

Q.

Find the square root of the number up to three decimal places:

I) 13

Q.

How many numbers lie between 12² and 13²??

Q. The following numbers are not square numbers. Give the reason.

i) 64000

ii) 89722 [2 MARKS]

Q.

Which of the following is definitely not a perfect square?

1. 144

2. 169

3. 147

4. 121

Q.

Just by looking at the numbers, identify which is not a perfect square?

1. 382

2. 484

3. 576

4. 529

Q.

Write 3-digit numbers ending with 0, 1, 4, 5, 6, 9, one for each digit, but none of them is a perfect square.

Q. 673 is a perfect square.

1. True
2. False

Q. Are we able to find the square root of negative numbers?

Q. Which of the following will end with the digit 1?

1. ${49}^2$
2. ${33}^2$
3. ${47}^2$
4. ${98}^2$

Q.

Question 64

State whether the following statement is true or false:

A perfect square can have 8 as its unit's digit.

Q.

Which of the following are obviously not perfect squares?

1. 9604

2. 3249

3. 2025

4. 7928

Q. 225 is a perfect square and is a square of 15.

1. True
2. False

Q. The first three digits in the square of 135 are

1. 182
2. 128
3. 821
4. 218

Q.

1. True
2. False

Q.

Which of the following is definitely not a perfect square?

1. 173

2. 256

3. 289

4. 625

Q. the method of finding non-perfect square numbers between 40 square and 41 square is 2x40 but, 40 square = 1600 and, 41 square = 1681 so 1681-1600 is 81, but 2x40 is 80

Q. (i) What will be in the unit place of a number if the square of a number ends in 6?
(ii) Which number must be added to 1886 to make it a perfect square?

Q. Square of number 37 can be found in two steps.



What is a?

1. 75

2. 25

3. 100

4. 50

Q.

Without doing any calculation, find the numbers which are surely not perfect squares.

(i) 153 (ii) 257

(iii) 408 (iv) 441

Q. The first three digits in the square of 135 are

1. 182
2. 128
3. 821
4. 218

Q.

Find the square of 1468 by writing this as 1465 + 3.

Q.

The square of the number 95 is

1. 9025

2. 9125

3. 9115

4. 9225

Q.

Seeing the digit at the units place, state which of the following can be square of a number?

1} 3051, 2} 2332, 3} 5684, 4} 6908, 5} 50699, 6} 920546.

Q. Which of the following cannot be a perfect square?

1. 27
2. 256
3. 5143
4. 682
5. 625
6. 4000
7. 72398
8. 529

Q. What is the first three digits in the square of 135?

1. 182
2. 128
3. 821
4. 218

Q. If the number in units place is 2, then the number in the units place of its square is 8.

1. True
2. False

Q.

Which of the following is definitely not a perfect square?

1. 81

2. 138

3. 225

4. 196