General Maths Algebra Question Paper

1. Attempt any five of the following: (5)
1. Find the common difference (d) for the given A.P. 3, 6, 9, 12, .......
2. In the linear equation x + y = 5, if x = 2  then find the value of y.
3. The number (n) of notebooks and cost (P) of notebooks have direct variation between them. Write it symbolically.
4. If a = 1, b =  4 , c = 1 find b2 - 4ac.
5. Write 2x - 2 = x2  in the general form.
6. For the given quadratic equation: 3x2 + x - 5 = 0, find b2 - 4ac.

2. Attempt any four of the following. (8)
1. If tn = 5n + 5, then find the first two terms of the A.P.
2. Determine whether (2, 3) is the solution of linear equation 2x + 5y =19  or not.
3. Solve x2 + 5x + 6 = 0 by formula method.
4. Solve x2 - 7x + 12 = 0 using factorisation method.
5. Express the following information in mathematical form using two variables x and y.
1. Sum of two numbers is 13.
2. Difference of the two numbers is 4.

3. Attempt any three of the  following: (9)
1. Solve the quadratic equation by factorisation method: 2x2 + 8x + 6 = 0.
2. Solve the simultaneous equation by method of elimination: x + y = 3; x - y = 1.
3. Find the value of y from the following equation 2x + 3y = 9. If the value of x = 3.
4. Complete the following table in which n ∝  m:

n	3	4	5	-	7
m	12	16	-	24	-

4. Attempt any two of the following: (8)
1. Find the sum of all even natural numbers from 100 to 200.
2. Solve: a + 5b = 31 ; 2a = 10 - 2b. Using the method of equating the coefficient.
3. Find the sum of all odd natural numbers from 1 to 100.

5. Attempt any two of the following: (10)
1. A farmer borrowed Rs. 8000 and agreed to repay with a total interest of Rs. 1360 in 12 monthly instalments, each instalment being less than the preceding one by Rs. 40. Find the amount of the first and the last instalments.
2. Solve the following quadratic equation by completing square method: 5y2 - 4y - 1 = 0.
3. Find S20 if a = 5 and d = 2.