Algebra 2013-2014 SSC (English Medium) 10th Standard Question Paper Solution

Find S₂ for the A.P. 3,5,7,9,......

If a = 1, b = 8 and c = 15, then find the value of  `"b"^2 - 4"ac"`

Find the width of class 35 - 45.

By using two variables, write the following statement in mathematical form:
The cost of two tables and five chairs is 2,200.

If n(A) = 1 and n(S) = 13 then find P(A).

For solving the quadratic equations `"x"^2 +  8"x" =-15` by completing the square method, find the third term.

Find the first four terms in A.P. When a = 10 and d = 3.

Prepare the cumulative frequency (less than types) table from the following distribution table :

From the quadratic equation if the roots are 6 and 7.

Find  the value of the determinant `[(5,2),(7,4)]`

Find t_n for the A.P. 3,8,13,18,.....

Three coins are tossed simultaneously, find S and n(S).

Find the first three terms to the sequence, whose nth term is t_n = 4n - 3

Solve the following quadratic equation by factorization method : `"x"^2 - 5"x" - 36 = 0`

Two-digit numbers are formed from the digits 0,1,2,3,4 where digits are not repeated. Find the probability of the events that:

(a) The number formed is an even number.

(b) The number formed is a prime number.

Below is given the distribution of money (in) collected by students for flood relief fund:

Find the mean of money (in) collected by a student using 'Direct Method'

The number of hours, spent by a school boy in different activities in a day is given below : 

Represent the above information using a pie diagram.

Babubhai borrows Rs. 4,000 and agrees to repay with a total interest of Rs. 500 in 10 installments, each installment being less than the preceding installment by Rs. 10. What should be the first and the last installments?

Solve the following simultaneous equation.

`27/(x -2) + 31/(y + 3) = 85, 31/(x -2) + 27/(y + 3) = 89`

Two dice are thrown, find the probability of getting
(1) The sum of numbers on their upper faces is at least 10.
(2) The sum of the numbers on their upper faces is divisible by 5.
(3) The number on the upper face of the first die is greater than the number on the upper face of the second die.

When the son will be as old as his father today, the sum of their ages then will be 126 years. when the father was as old his son is today. The sum of their ages was 38 years. Find their presents ages.

The following is the frequency distribution with unknown frequencies : 

Find the value of a, hence find the frequencies. Draw a histogram and frequency polygon on the same coordinate system.

From the same place at 7 a.m. A started walking in the north at a speed of 4 km/hr. after 1 hour, B started cycling in the east at a speed of 8 km/hr. at what time will they be at a distance of 20 km apart from each other?