Observing Length and Breadth of Rectangles of Squares Using Dot Grids

Q.

Observe the rectangle given below

If we rearrange the dots and make this rectangle a square, then what will be the side of that square?

1. 18

2. 16

3. 6

4. 12

Q.

Observe the given rectangle

How many minimum extra dots we need to add and make it a square.

1. 10

2. 5

3. 6

4. 4

Q.

Rajesh has 235 chocolates. He wants to group them in such a way that every group will contain an equal number of chocolates. What is the possible group size?

1. 11

2. 3

3. 5

4. 2

Q.

Observe the given rectangle

How many minimum numbers of rows or columns we need to add to make it a square.

1. 1 row

2. 1 column

3. 2 columns

4. 2 rows

Q.

The value of expression ${12}^2\times 5^2$ is equal to

1. $3600$

2. $4200$

3. $4600$

4. $3200$

Q.

Observe the given rectangle

what is the minimum number of balls we need to remove to make it a square?

1. 3

2. 6

3. 9

4. 12

Q.

Observe the rectangle given below

If we rearrange the dots and make this rectangle a square, then what will be the side of that square.

1. 2

2. 4

3. 16

4. 8

Q.

The value of expression $(1.8{)}^2\times (0.5{)}^2$ is

1. 81

2. 0.81

3. 0.081

4. 8.1

Q.

Rajesh has 235 chocolates. He wants to group them in a way such that every group will have equal number of chocolates. What is the possible group size?

1. 5

2. 2

3. 11

4. 3

Q.

Which of the following correctly represents 338 as the product of its prime power?

1. $338=2^2\times {13}^2$

2. $338=2\times {13}^2$

3. $338=2^2\times 13$

4. $338=2^2\times {13}^3$

Q.

Observe the given rectangle

How many minimum extra rows or columns, we need to remove to make it a square.

1. 1 row

2. 2 columns

3. 2 rows

4. 1 column

Q. Express each of the following as a product of prime factors only in exponential form:
$270$

Q. Find the value of x such that $\frac{12}{4x-7}$ and $\frac{21}{3x-6}$ form the opposite sides of a sqare

1. $\frac{3}{16}$
2. $\frac{35}{24}$
3. $\frac{25}{6}$
4. $\frac{25}{16}$

Q. If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use $(\times 1)$ machines.

Q. The value of expression $(1.4{)}^2\times (0.5{)}^2$ is _____ .