 Attempt any five of the following: (5)
 Find the common difference (d) for the given A.P. 13, 23, 33, 43, .......
 In the linear equation x + y = 15, if x = 12 then find the value of y.
 Find the value of discriminant for the following: x2 + 4x + 1 = 0.
 Check whether it is a quadratic or not: (m  5) (m + 7) = 0
 Write the following quadratic equation in a standard form: p(p  6) = 0.
 For the given quadratic equation: x2 + x  5 = 0, find b2  4ac.
 Attempt any four of the following. (8)
 Show that the nth odd natural number is 2n  1.
 Solve the following simultaneous equation using Cramer’s rule: 4x + 3y  4 = 0; 6x = 8  5y.
 Solve x2  7x + 12 = 0 by formula method.
 Find the value of discriminant: x2 + 4x + 1 = 0.
 Express the following information in mathematical form using two variables x and y.
 Sum of two numbers is 30.
 Difference of the two numbers is 5.
 Attempt any three of the following: (9)
 Solve the quadratic equation by completing square method: 2x2 + 8x + 6 = 0.
 Mary got a job with a starting salary of Rs. 15,000/ per month. She will get an incentive of Rs. 100/ per month. What will be her salary after 20 months?
 Find the value of y from the following equation 6x + 3y = 9. If the value of x =1 .
 For a certain frequency distribution, the values of Mean and Mode are 54.6 and 54 respectively. Find the value of median.
 Attempt any two of the following: (8)
 Find the sum of all even natural numbers from 1000 to 2000.
 Following is the distribution of the size of certain farms from a taluka (tehasil)
Size of farm (in Acres)

5  15

15  25

25  35

35  45

45  55

55  65

56  75

No. of farms

7

12

17

25

31

5

3

 Form the quadratic equation whose roots are: 3 and 10.
 Two coins are tossed. Find the probability of the events that head appears on both the coins.
 Attempt any two of the following: (10)
 Draw Histogram and frequency polygon for the following frequency distribution.
Class

5  10

10  15

15  20

20  25

25  30

Frequency

20

30

50

40

10

 Solve the following quadratic equation by completing square method: 5y2  4y  1 = 0.
 Find four consecutive terms in an A.P. whose sum is 12 and the sum of 3rd and 4th term is 14.
 Following is the componentwise expenditure per article, draw a pie chart.
Component

Expenditure (in Rs.)

Raw Material

800

Labour

300

Transportation

100

Packing

100

Taxes

140
