Q. 1. The sum to 20 terms of an AP is 1430 and the first term is 100. Find the last term.
Q. 2. Tickets are numbered from 1 to 50. They are well-shuffled and a ticket is drawn at random. What is the probability that the drawn ticket has
Q. 3. From an ordinary frequency table from the following cumulative frequency distribution of marks obtained by 20 students and calculate the mean marks.
| Marks Less than | 10 | 20 | 30 | 40 | 50 |
|---|---|---|---|---|---|
| No. of Students | 2 | 7 | 15 | 18 | 20 |
Q. 4. Find the values of a and b so that the polynomials P(x) and Q(x) have (x + 1)
(x - 2) as their h.c.f.
P(x) = (x2 + 3x + 2) (x2 + x + a)
Q(x) = (x2 - 3x + 2) (x2 - 3x + b)
Q. 5. There are 360 students in Class X at a Kendriya Vidyalaya and they travel to the Vidyalaya by the following means:
130 students travel on foot
125 students travel by bus
70 students travel by cycle
35 students travel by car.
Represent this information on a pie chart.
Q. 6. Find the mean of the following data:
Classes |
0-10 |
10-20 |
20-30 |
30-40 |
40-50 |
Frequency |
7 |
8 |
12 |
13 |
10 |
Q. 7. The following data shows the expenditure incurred in the construction of the House
Items Draw the pie-chart to show the above data.
Q. 8. Which term of A.P. 3, 15, 27, 39 ------- is 132 more than 54th term
Q. 9. Draw a pie chart representing the following data showing the number of
Students who like different subjects:
| Subject | No. of Students |
|---|---|
| Physics | 45 |
| Chemistry | 20 |
| English | 60 |
| Maths | 30 |
| Biology | 10 |
| Punjabi | 15 |
Q. 10. A die is thrown once. Find the probability of getting:
Q. 11. Find the values of a and b, if the HCF of the polynomials
f ( x) = ( x + 3) ( 2x2 – 3x + a) and
g (x) = ( x-2) ( 3x2 +10x – b) is x2 + x - 6.
Q. 12. Cards marked with the numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this box. Find the probability of
Q. 13. Find the ratio in which the line points ( 6,4 ) and ( 1, - 7) is divided internally by the axis of x .
Q. 14.
A – 45 ° - Foot Ball
B – 100 ° - Hocky
C - 160 ° - Cricket
D – ? - Basket Ball
E -35 ° - Tennis
If the money spent on Foot ball is Rs. 9000, answer the following questions.
(i) What is the total amount spent on sports?
(ii) What is the amount spent on Basket Ball?
Q. 15. Find the value of ‘k’ so that the roots of the quadratic equation (k+1)x2 + 2kx + 4= 0 is equal to the product of the roots.
Q. 16. Find the ratio in which the points (2,5) divides the line-segment joining the points (-1,2) and (4,7).
Q.17. A bag contains 3 red balls, 5 black balls, and 4 white balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is 1) white 2) red 3) black?
Q.18. What should be subtracted from the expression 
to get 
.
Q.19.The mean of the following data is 20.5. Find the missing frequency.
| X | 10 |
15 |
20 |
25 |
30 |
f |
5 |
7 |
--- |
12 |
6 |
20. If 
and 
are the roots of equation 2x2 + 5x –6=0. Find the value of +.
