Division of Monomial by a Monomial

Q.

Divide:
(i) $24x^2{y}^3$ by $3xy$
(ii) $36xy{z}^2$ by $-9xz$
(iii) $-72x^2{y}^{2}z$ by $-12xyz$
(iv) $-56mn{p}^2$ by $7nmp$

Q.

The length of the shaded rectangle is $\left(\frac{1}{10}\right)$ of the bigger rectangle and its breadth is 0.001 times the bigger rectangle. If the area of the bigger rectangle is $10000m^2$. Find the area of the shaded rectangle. [4 MARKS]

Q.

Tick $\left(✓\right)$ the correct answer in each of the following:
$8a^2{b}^3÷(-2ab)=?$

(a) $4a{b}^2$
(b) $\left(4a^{2}b\right)$
(c) $-4a{b}^2$
(d) $-4a^{2}b$

Q.

In the adjoining figure, find the area of the shaded portion.

Q. The length of a rectangle is twice its breadth. If its area is 72 sq m, the breadth of the rectangle is :

1. 12 m
2. 24 m
3. 6 m
4. 72 m

Q. On dividing $24x{y}^2\times z^2$ by $6y{z}^2$, we get

1. $4xz$
2. $4xy$
3. $4xz$
4. $4xyz$

Q.

On dividing $\left(24x{y}^2\right)\left(z^2\right)$by $6y{z}^2$, we get

1. $4xz$

2. $4xy$

3. $4xyz$

4. $4xz$

Q. Area of a rectangle is 72 sq m and one of its sides is 12 m long. Find the length of the other side.

1. 6 m
2. 7 m
3. 8 m
4. 9 m

Q.

The length of a rectangle is $4a$ metres and its area is $72a^2$ sq m, the breadth of the rectangle is :

1. 12a

2. 24a

3. 18a

4. 72 a

Q. The area of a rectangular garden is $2100$ $f{t}^2$. Find the width if its height measures $20$ ft.

1. $90$
2. $100$
3. $105$
4. $120$

Q.

Dividing $2x^2$$y$$z^5$ by $8x^2$$z^3$ gives $\frac{1}{4}xy{z}^2$.

1. False

2. True

Q. Divide $49x^{2}y{z}^2$ by $7y^2{z}^3$ .

1. $\frac{7x}{yz}$
2. $\frac{7x^2}{yz}$
3. $\frac{7x^3}{yz}$
4. $\frac{7x^2}{y^{2}z}$

Q.

Divide

i) $48x^4$ by $12x^{2}y$

ii) $24a^2{b}^{2}c$ by $4ab$ [2 MARKS]

Q. Find each of the following product:
$(\left(\frac{1}{2}\right)y^2-\left(\frac{1}{3}\right)y)(\left(\frac{1}{2}\right)y^2-\left(\frac{1}{3}\right)y)$

Q. $\frac{27x^{3}y}{9x^2}=$ ______.

1. $9x^{2}y$
2. $9x{y}^2$
3. $9xy$
4. $3xy$

Q.

8abc divided by 4ab is

1. 2c

2. 2bc

3. 2abc

4. 2b

Q. Solve: $\frac{-104x^3{y}^3{z}^3}{-13xyz}$

1. $-8xyz$
2. $8x^2{y}^2{z}^2$
3. $8x^3{y}^3{z}^3$
4. $-8x^2{y}^2{z}^2$

Q.

Q.

What is the coefficient of the term obtained when $24x{y}^2$ is divided by $8xy$?

1. $3$

2. $3y$

3. $y$

4. $\frac{3}{y}$