Algebra Set A 2017-2018 SSC (English Medium) 10th Standard Board Exam Question Paper Solution

Find next two terms of an A.P. 

4, 9, 14, ......

State whether the given equation is quadratic or not. Give reason.

`5/4m^2 - 7 = 0`

if `D_x = 25`, D = 5 are the values of the determinants for certain simultaneous equations in x and y, find x

If S = {2, 4, 6, 8, 10, 12} and A = {4, 8, 12}, find A'

Write any one solution of equation x + 2y = 7.

If `S_5 = 15` and `S_6 = 21`, Find `t_6`.

Find n if the nth term of the following A.P. is 68

5, 8, 11, 14, ..........

If one of the roots of the quadratic equation x² - 11x  + k = 0 is 9, then find the value of k

A box contains 20 cards marked with numbers 1 to 20. One card is drawn at random. Event A is the number of the card which is multiple of 5. Write S, n(S), A and n(A).

Find the value of x- y  if 4x + 3y = 25, 3x + 4y = 24

Form the quadratic equation if its roots are –3 and 4.

For a certain frequency distribution, the values of mean and median are 72 and 78 respectively. Find the value of mode.

For an A.P., find S₇ if a = 5 and d = 4.

Solve the following quadratic equation by using formula method :

2x² - 3x = 2

Solve the following simultaneous equations using Cramer’s rule :

3x - 2y = 3

2x + y = 16

A die is thrown, find the probability of the event of getting a number less than 3.

The marks obtained by a student in an examination out of 100 are given below. The total marks obtained in various subjects are as follows:

Represent the above data using pie diagram

If α + β = 5 and α³ +β³ = 35, find the quadratic equation whose roots are α and β.

Two dice are thrown. Find the probability of getting :

1) The sum of the numbers on their upper faces is at least 9.

2) The sum of the numbers on their upper faces is 15.

3) The number on the upper face of the second die is greater than the number on the upper face of the first die.

Frequency distribution of daily commission received by 100 salesmen is given below :

Find mean daily commission received by salesmen, by the assumed mean method.

A boat takes 10 hours to travel 30 km upstream and 44 km downstream, but it takes 13 hours to travel 40 km upstream and 55 km downstream. Find the speed of the boat in still water and the speed of the stream.

If the 9^th term of an A.P. is zero, then prove that 29^th term is double of 19^th term.

Draw histogram and frequency polygon on the same graph paper for the following frequency distribution