ABC TUTORIALS

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

Max. time: 2hrs Std: X (Miniprelim’s)

Q1 Solve any five of the following (10 marks)

(1) Find the value of a if x=7 and y=5 is the solution of the equation 3x+ay=31

(2) If 5x-2y=14; 2x-5y=-7. What is the value of (i) X+Y (ii) X-Y?

(3) Is X-2=3, a quadratic equation? X

(4) Find the value of b2-4ac for the quadratic equation x2-4x+4=0

(5) Write t2 and t3 of an A.P, if a=10 and d=4

(6) What is the 6th term of the sequence 4,6,9,13,18,?

Q2 Solve any four of the following (8 marks)

(1)Find tn for the following A.P. (i) 22,30,38,46,……. (ii) 10,16,22,28……..

(2)How many natural number between 17 and 80 are divisible by 6?(3)Solve by factorization method (i) m2+10m+24=0(4)Solve by formula method (i) x2-3x+2=0(5)Solve : x+3= 3 ; y+5= 1

y x

(6) 4x+y=5 ; 7x-2y=20 ( by the method substitution)

Q3 Solve any three of the sub-question (9 marks)

(1)Sayara has 19 coins amounting to Rs.65. The coins are of Rs.5 and Rs.2. Find the number of coins of each kind.

(2)Ali’s present age is twice the present age of John. After five years Ali’s age will be 9 years more than John’s age. Find their present ages.

(3)If the perimeter of a square is numerically equal to its area. Find the length of its side.

(4)The product of two consecutive natural numbers is 42. Find the numbers.

(5)Find the sum of 6+15+24+33+………..+105.

Q4 Solve any two of the sub-question (8 marks)

(1)Deepak save Rs.36000 in ten years. In each year after the first, he saves R.s 600 more than the preceding year. How much did he save in the first year?

(2)A rectangle whose length is 4m more than its breadth has an area 45m2. Find the breadth and length of the rectangle.

(3)Rohit purchased a pair of shoes and slippers. Price of shoes is 5times the price of slippers. Total cost of a pair of shoes and slippers is Rs.600. Find the individual price of shoes and slippers.

Q5 Solve any two sub-question (10 marks)

(1)In a two-digit number, the digit at ten’s place is greater than the digital at unit’s place by 3. The sum of the original number and the number obtained by interchanging the digits in 143. Find the original number.

(2)Split 12 into two parts such that the sum of the square is 80.

(3)A man repays a loan of Rs.6500 by paying Rs.610 in the first month and decreases the payment by Rs.30 every month. How long will it take to clear his loan?