Square Numbers

Q.

Express each of the following as the sum of three odd prime numbers

$49$

Q.

Is sum of two perfect squares also a perfect square?

1. Yes

2. No

Q.

Express $32$ as the sum of two odd primes.

Q. Which of the following is the square of 38?

1. $1,444$
2. $1,024$
3. $1,296$
4. $1,369$

Q.

Find the number of digits in the square root of 27225 (without any calculation).

Q. Find the square of $53$.

1. $2890$
2. $1809$
3. $280$
4. $2809$

Q. What will be the square of -11?

1. -121
2. -141
3. 141
4. 121

Q. What is the square of 1.2?

1. 0.144
2. 14.4
3. 144
4. 1.44

Q. Which of the following is the square of 38?

1. $1,444$
2. $1,024$
3. $1,296$
4. $1,369$

Q. The square of _____ will have 1 at its units place.

1. 729
2. 343
3. 346
4. 867

Q.

Find a pythagorean triplet whose one member is 14.
A) 14, 48, 50 B) 7, 14, 49
C) 14, 15, 16 D) 14, 24, 25

Q. The square of _____ will have 1 at its units place.

1. 867
2. 729
3. 343
4. 346

Q. The square of _____ will have 1 at its units place.

1. 729
2. 867
3. 343
4. 346

Q. What is the square of 1.2?

1. 0.144
2. 14.4
3. 144
4. 1.44

Q. What will be the square of -11?

1. -121
2. -141
3. 141
4. 121

Q. Which of the following expression is equivalent to $2.45\times {10}^6$ sq ft?

1. $0.075\times {10}^7+170\times {10}^5$
2. $0.075\times {10}^6+170\times {10}^4$
3. $0.075\times {10}^7+170\times {10}^4$
4. $0.075\times {10}^6+170\times {10}^6$

Q. ${111}^2=12121$

1. True
2. False

Q. Find the length of the diagonal of a rectangle with sides 8 cm and 15 cm.

1. 17 cm
2. 18 cm
3. 15.5 cm
4. 16 cm

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. Match the following numbers with their squares.

1. 11449
2. 3969
3. 8836
4. 2116

Q.

Which of the following is not a perfect square?

1. 169

2. 196

3. 144

4. 245

Q. The value of ${53}^2$ has 9 in its units place.

1. True
2. False

Q.

Which of the following are perfect squares?

1. 156

2. 176

3. 196
4. 256

Q. Which of the following expression is equivalent to $2.45\times {10}^6$ sq ft?

1. $0.075\times {10}^7+170\times {10}^5$
2. $0.075\times {10}^6+170\times {10}^4$
3. $0.075\times {10}^7+170\times {10}^4$
4. $0.075\times {10}^6+170\times {10}^6$

Q. The square of _____ will have 1 at its units place.

1. 867
2. 729
3. 346
4. 343

Q.

What must be subtracted from 1729 to get a perfect square?

1. 78

2. 58

3. 68

4. 48

Q. What is the square of 39?

1. 961
2. 2400
3. 1681
4. 1521

Q.

1, 024 trees are planted in a grid fashion such that the number of rows is equal to the number of columns. One row and one column of trees are cut such that the number of rows and columns after cutting remain equal. Find the number of trees that were cut?

1. 61

2. 63

3. 65

4. 67

Q. The square of _____ will have 1 at its units place.

1. 343
2. 346
3. 729
4. 867

Q. $\text{Estimate √1000 to the nearest whole number.}$
[2 marks]

1. $31$
2. $34$
3. $32$
4. $33$