Question 1 :
Look at the given expressions: $7x$, $14x$, $–13x$, $5x^2$ , $7y$, $7xy$, $–9y^2$ , $–9x^2$ , $–5yx$ .How many sets of like terms are there in the list ?

Question 4 :
Is $(9p – 5q)^2 + 180pq = (9p + 5q)^2$ ?

Question 5 :
How many trinomials are there in the list? $x + y$, $1000$, $x + x^2 + x^3 + x^4$, $7 + y + 5x$, $2y – 3y^2$, $2y – 3y^2 + 4y^3$, $5x – 4y + 3xy$, $4z – 15z^2$, $ab + bc + cd + da$, $pqr$, $p^2q + pq^2$, $2p + 2q$

Question 7 :
Which of the following is(are) polynomial(s) with 4 or more terms?

Question 10 :
Carry out the multiplication of the expression : $pq + qr + rp, 0$

Question 11 :
A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area $1,080 m^{2}$ ? (If required you can split the tiles in whatever way you want to fill up the corners).

Question 12 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cee1f59b460d7261f0c6.jpg' /> In the above image, find the height.

Question 13 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cee7f59b460d7261f0cf.jpg' /> In the above image, find the volume.

Question 14 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d026f59b460d7261f28d.png' /> In the above image, A company packages its milk powder in cylindrical container whose base has a diameter of 14 cm and height 20 cm. Company places a label around the surface of the container (as shown in the figure). If the label is placed 2 cm from top and bottom, what is the area of the label?

Question 15 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cecbf59b460d7261f0a6.png' /> In the above image, area of the figure is ?

Question 16 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cecaf59b460d7261f0a4.jpg' /> In the above image, area of the figure is ?

Question 17 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ced0f59b460d7261f0ad.jpg' /> In the above image, any trapezium WXYZ on a piece of graph paper is shown. How can you find the mid point of XY which is point A.

Question 18 :
A rectangular piece of paper 11 cm $\times$ 4 cm is folded without overlapping to make a cylinder of height 4 cm. What is the volume of this cylinder?

Question 19 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d017f59b460d7261f277.png' /> From the above figure, Mrs. Kaushik has a square plot with the measurement as shown. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of ₹ 55 per $m^{2}$.

Question 20 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ced9f59b460d7261f0ba.png' /> In the above image, the area of this quadrilateral is ?

Question 22 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ccd3f59b460d7261edf5.PNG' /> From the above figure, supply the missing information for diagram.

Question 27 :
Simplify and write the answer in the exponential form. $\frac{1}{8} \times 3^{−3}$

Question 41 :
Maria invested Rs 8,000 in a business. She would be paid interest at 5% per compounded annually. Find the interest for the third year.

Question 42 :
A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary.

Question 43 :
60% people in a city like cricket, 30% like football and the remaining like other games. If the total number of people are 50 lakh, find the exact number who like football game.

Question 44 :
Fabina borrows Rs 12,500 at $12\%$ per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at $10\%$ per annum, compounded annually. Who pays more interest and by how much?

Question 46 :
Calculate the compound interest on Rs 18,000 for $2\frac{1}{2}$ years at $10\%$ per annum compounded annually.

Question 47 :
An almirah is sold at Rs 5,225 after allowing a discount of $5\%$. Find its marked price.

Question 48 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf43f59b460d7261f151.JPG' /> In the above image, a primary school, the parents were asked about the number of hours they spend per day in helping their children to do homework. There were 90 parents who help for $\frac{1}{2}$ hour to $1\frac{1}{2}$ hour. The distribution of parents according to the time for which, they said they helped is given in the above figure, $20\%$ helped for more than $1\frac{1}{2}$ hour per day. $30\%$ helped for 1 hr to $1\frac{1}{2}$ hour; 50% did not help at all. How many parents were surveyed?

Question 49 :
Calculate the compound interest on Rs 62,500 for $1\frac{1}{2}$ years at $8\%$ per annum compounded half yearly.

Question 50 :
A shop gives $20\%$ discount. What would the sale price of a dress marked at Rs.120.