Indices

Q.

What is the square root of $121$?

Q.

Find the least number which must be added to $1825$ so as to get a perfect square. Also, find the square root of the perfect square so obtained.

1. 24, 44
2. 24, 43
3. 23, 44
4. 23, 43

Q.

A three digit perfect square is such that if it is viewed upside down, the number seen is also a perfect square. What is the number $?$

Q.

A rectangle with length and breadth equal to 19m and 17m respectively has to be converted to a square with equal area. What is the side of the square? (Give your answer till two decimal places).

1. 17.97

2. 16.93

3. 15.98

4. None of these

Q. If $\sqrt{0.49}=x$, then $x=?$

1. only -0.7
2. either 0.7 or -0.7
3. neither 0.7 nor -0.7
4. only 0.7

Q.

Find the length of the side of an individual square box of a chessboard whose area is $576$ square units.

1. $24$

2. $8$

3. $9$

4. $3$

Q. Calculate the square of 0.222.....

1. 1/9
2. 4/81
3. 2/9
4. 1/81

Q. When we take the difference between squares of consecutive triangular numbers, we get a .

1. cube number
2. square number
3. odd number

Q.

Question 42

Fill in the blanks to make the statements true.

$(1.2{)}^3=$ ___

Q.

(a) What kind of numbers do you get if you add consecutive triangular numbers? Give examples. [2 MARKS]
(b) $\angle E$ is a complement of $\angle F$ and $\angle E$= ${28}^{\circ }$ . Find $\angle F$

Q.

The lowest form of $\frac{900a^5{b}^3}{300a^2{b}^4}$ is $\frac{3a^4}{b}$.

1. True

2. False

Q. Simplify: $(64{)}^{-\frac{1}{2}}-(-32{)}^{-\frac{4}{5}}$. [2 Marks]

Q.

Question 144

Fill in the blanks.

Q.

A rectangle with length and breadth equal to 9 m and 4 m respectively has to be converted into a square having the same area. What will be the side of the square? (Give answer to two decimal places).

1. None of these

2. 17.97

3. 15.98

4. 16.93

Q.

Question 10

In the following question, out of the four options, only one is correct. Write the correct answer:

The value of${\left(\frac{-2}{3}\right)}^4$ is equal to:
(a) $\frac{16}{81}$
(b) $\frac{81}{16}$
(c) $\frac{-16}{81}$
(d) $\frac{81}{-16}$

Q. Match the number of boxes in pictures with proper indices.

1. $2^0$
2. $2^2$
3. $2^3$

Q.

Question 53

In the following question, fill in the blanks to make the statements true.

The value fo $3\times {10}^{-7}$ is equal to ___

Q. What is $\frac{2^4}{2^1}$ equal to?

1. $2^3$
2. $4^0$
3. $2^5$
4. $2^4$

Q. Find the value and match it properly.

1. 16
2. 9
3. 64
4. $\frac{1}{25}$

Q.

Evaluate the exponential expression $x^5$ × $x^4$, for x = 2.

1. 32

2. 256

3. 512

4. 128

Q. Express the value of 4 to the power 3.

1. 64
2. 16
3. 43
4. 12

Q. What is the value of ($3^0$ + $4^0$ - $5^0$)?

1. 0
2. 1
3. - 1
4. 2

Q. What is the value of -5 raised to the power of 4?

1. 625
2. 25
3. -625
4. -125

Q. The area of a square playground is 291.0436 square metres. Find the length of each side of the play ground. [4 MARKS]

Q.

Find the length of the side of an individual square box of a chessboard whose area is $576$ square units.

1. $3$

2. $8$

3. $9$

4. $24$

Q.

Write the value of the expression:

${(-1)}^{21}$

Q. Arrange the followings in increasing order from bottom to top.

1. $3^6$
2. $4^2$
3. $5^3$
4. $6^2$
5. $2^5$

Q.

Working at the same constant rate, 7 identical machines can produce a total of 490 toys per minute.At this rate, how many toys could 10 such machines produce in 5 minutes?

1. 2, 700

2. 3, 500

3. 4, 200

4. 4, 500

Q. ‘2’ multiplied ten times is expressed numerically as _____ .

1. $2\times 10$
2. $2\times 2\times 2\text{....10 times}$
3. $2^{10}$
4. $\frac{2}{10}$