Question 1 :
If the sum of the first n terms of an AP is $4n – n^2$, What is the 3rd term ?

Question 2 :
The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP.

Question 3 :
Find the sum of the first 15 terms in $a_n = 9 – 5n$

Question 4 :
Find the number of terms in the following AP :18, 15.5, 13, . . . , – 47

Question 5 :
Find the sum of the following AP: 0.6, 1.7, 2.8, . . ., to 100 terms.

Question 6 :
Which of the the following can be the probability of an event?

Question 7 :
Consider the following frequency distribution of the heights of 60 students of a class : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b8e273b2305849799c9.PNG' /> The sum of the lower limit of the modal class and upper limit of the median class is?

Question 8 :
Someone is asked to take a number from 1 to 100. The probability that it is a prime is

Question 9 :
In the following distribution : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b8e273b2305849799c8.PNG' /> The number of families having income range (in Rs) 16000 – 19000 is

Question 10 :
State True or False: To find the mean of grouped data, it is assumed that the frequency of each class interval is centred around its mid-point.

Question 11 :
One says, “Give me a hundred, friend! I shall then become twice as rich as you”. The other replies, “If you give me ten, I shall be six times as rich as you”. Tell me what is the amount of their (respective) capital?

Question 13 :
A pair of linear equations which has no solution, is called an __________________ pair of linear equations.

Question 14 :
A fraction becomes $\frac{1}{3}$ when 1 is subtracted from the numerator and it becomes $\frac{1}{4}$ when 8 is added to its denominator. Find the fraction.

Question 15 :
Solve the following pair of linear equations by the elimination method and the substitution method : $x + y = 5 ~and ~2x – 3y = 4$

Question 16 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bdc273b230584979a30.png' /> In the above fig, the lines represents ____________ lines.

Question 17 :
For what values of k will the following pair of linear equations have infinitely many solutions? $kx + 3y – (k – 3) =0 ; 12x + ky – k =0$

Question 18 :
The cost of 4 pens and 4 pencil boxes is Rs 100. Three times the cost of a pen is Rs 15 more than the cost of a pencil box. Form the pair of linear equations for the above situation. Find the cost of a pencil box.

Question 19 :
For which values of p does the pair of equations given below has unique solution?$4x + py + 8 =0 ; 2x + 2y + 2 =0$

Question 20 :
Solve the following pair of linear equations by the substitution method : $\frac{3x}{2} - \frac{5y}{3} = -2 ; \frac{x}{3} + \frac{y}{2} = \frac{13}{6}$