Question 1 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bc7273b230584979a14.JPG' /> In the above fig. 200 logs are stacked in the following manner: 20 logs in the bottom row, 19 in the next row, 18 in the row next to it and so on. In how many rows are the 200 logs placed and how many logs are in the top row?

Question 2 :
Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73.

Question 3 :
The first and the last terms of an AP are 17 and 350 respectively. If the common difference is 9, how many terms are there in the AP?

Question 4 :
In an AP, given $a_n = 4, d = 2, S_n = –14$, find n and a.

Question 5 :
Find the sum of the odd numbers between 0 and 50.

Question 6 :
A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows: Rs 200 for the first day, Rs 250 for the second day, Rs 300 for the third day, etc., the penalty for each succeeding day being Rs 50 more than for the preceding day. How much money the contractor has to pay as penalty, if he has delayed the work by 30 days?

Question 7 :
Find the sum of the first 15 terms in $a_n = 9 – 5n$

Question 8 :
Subba Rao started work in 1995 at an annual salary of Rs. 5000 and received an increment of Rs. 200 each year. In which year did his income reach Rs. 7000?

Question 9 :
In an AP, given $a = 7, a_{13} = 35$, find d and $S_{13}$.

Question 10 :
In an AP, given $a = 2, d = 8, S_n = 90$, find n and $a_n$.

Question 11 :
Find a quadratic polynomial whose sum and product respectively of the zeroes are as given: $-2\sqrt{3}$, -9

Question 12 :
If the zeroes of the quadratic polynomial $x^2+\left(a+1\right)x+b$ are 2 and -3, then:

Question 13 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bdf273b230584979a33.png' /> Look at the graph given above. The graph of $y=p\left(x\right)$, where $p\left(x\right)$ is a polynomial. Here, find the number of zeroes of $p\left(x\right)$.

Question 14 :
Given that the $\sqrt{2}$ is a zero of the cubic polynomial $6x^3+\sqrt{2}x^2-10x-4\sqrt{2}$, find its other two zeroes

Question 15 :
Find the zeroes of the quadratic polynomial using the given sum and product respectively of the zeroes: $-\frac{3}{2\sqrt{5}}$, $-\frac{1}{2}$

Question 17 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bdf273b230584979a34.png' /> Look at the graph given above. The graph of $y=p\left(x\right)$, where $p\left(x\right)$ is a polynomial. Here, find the number of zeroes of $p\left(x\right)$.

Question 18 :
Find a quadratic polynomial, the sum and product of whose zeroes are $-\frac{1}{4}$ and $\frac{1}{4}$ , respectively.

Question 20 :
If p(x) is a polynomial in x, the highest power of x in p(x) is called the degree of the polynomial p(x). TRUE or FALSE ?