Question 1 :
Find the area of rectangle with the following pair of monomials as their length and breadth respectively : (p, q)

Question 2 :
Use the Identity $(x + a) (x + b) = x^2 + (a + b) x + ab$ to find 95 × 103

Question 6 :
$a (a^2 + a + 1) + 5$ ,find its value for a = 0.

Question 7 :
Add the expression: $a – b + ab$, $b – c + bc$, $c – a + ac $

Question 8 :
State true or false. Expressions that contain exactly three terms is called trinomials.

Question 9 :
State true or false. Common factor of $x^2y$ and $– xy^2$ is xy.

Question 10 :
What will be the product of first monomial $2x$ and second monomial $-4xy$ ?

Question 11 :
An identity is an equality, which is true for all values of the variables in the equality.Is it TRUE or FALSE?

Question 12 :
What will be the product of first monomial $-5y$ and second monomial $-5y$ ?

Question 13 :
Using the Identity (II) : $(a-b)^2 = a^2 + b^2 - 2ab$ ,find $(4p - 3q)^2$

Question 14 :
The height of a triangle is $x^4 + y^4$ and its base is 14xy. Find the area of the triangle.

Question 16 :
State true or false. In the division of a polynomial by a polynomial, we factorise both the polynomials and cancel their common factors.

Question 20 :
What will be the product of first monomial $7x^2y$ and second monomial $-9x^2y^2$ ?

Question 21 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce75f59b460d7261f02b.PNG' /> In the above image, find whether x and y are directly proportional.

Question 22 :
A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?

Question 23 :
Is the following in inverse proportion? The number of workers on a job and the time to complete the job.

Question 24 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce8cf59b460d7261f04d.PNG' /> In the above image, given that Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?

Question 25 :
A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time, the length of the shadow cast by another pole 10 m 50 cm high.

Question 26 :
Two persons could fit new windows in a house in 3 days. One of the persons fell ill before the work started. How long would the job take now ?

Question 27 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce77f59b460d7261f02e.PNG' /> In the above image, given the cost of 5 metres of a particular quality of cloth is Rs. 210. Tabulate the cost of 4 metres of cloth of the same type using the table.

Question 28 :
A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?

Question 29 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce76f59b460d7261f02c.PNG' /> In the above image, find whether x and y are directly proportional.

Question 30 :
If two students take 20 minutes to arrange chairs for an assembly, then how much time would five students take to do the same job?