ABC TUTORIALS

Max. Marks: 40 Subject: Algebra(1,2,3)

Max. time: 2hrs Std: X (Miniprelim’s)

Q1 Attempt any five of the following sub questions (5marks)

(1) Find S3 for the A.P 2,5,8,11,………(2)If tn=2n-1, find t4.

(3) Write the quadratic equation n−7n = 4 in standard form.

(4)Find the roots of the quadratic equation (2x-3)(x+4)=0(5)What are the coordinates of the point of intersection of the x-axis

and the y-axis?(6) Find the value of x+y, if 12x+13y= 29 and 13x+12y=21.

Q2 Attempt any four of the following sub-questions. (8 marks)

(1)64x2-626=0(2)x2-13x+30=0(3)If 3x+5y=6 and 5x+3y-26, find (x-y)(4)If x=2 and y=3 is the solution of 2x+ky=13, find k.(5)For an A.P., find S10 if a=5 and d=2(6)How many terms are there in the A.P. 187,194,201,…….,439?

Q3 Attempt any three sub-questions of the following (9 marks)

(1)Find three consecutive terms in the A.P. whose sum is 27 and their product is 504.

(2)Solve by completing square method. (i) x2+11x+24=0(3)Without drawing the graph, show that y=5x-3; y=4-2x and 2x-3y=8

are concurrent lines.

(4)The sum of two numbers is 97. If the greater number is divided by the smaller, the quotient is 7 and the remainder is 1. Find the numbers.

(5)The sum of a natural number and its reciprocal is 507 . Find the

numbers.

(6)For an A.P. 16 ,14 ,13 , ….., find s10.

Q4 Attempt any two of the following sub-questions. (8 marks)

(1)The sum of the first 55 terms of an A.P. is 3300. Find the 28th term.(2)Solve: (x2+x)(x2+x-2)=24

(3)Solve: 72x+1 , +13y+2=27 ;

132 x+1

+ 7y+2

=33

Q5 Solve any two of the sub-question (10 marks)

(1)Solve by the following simultaneous equation using graphical method (i) 3x+4y+5=0; y=x+4

(2)A man travels by boat 36 km down a river and back in 8hours. If the speed of the boat is still water is 12km/hr, find the speed of the river current.

(3) Find the sum of all natural numbers from 1to 300, which are divisible by 3.