Algebra 2014-2015 SSC (English Medium) 10th Standard Board Exam Question Paper Solution

Find the first two terms of the following sequence: 

t_n = n +2 . 

Write the quadratic equation 3y² = 10y +7 in the standard form ax² + bx + c = 0 .

Find the value of the following determinant.

Write the sample space if two coins are tossed.

State whether the following sequence is an A.P. or not.

1,3,6,10,...... 

The perimeter of a rectangle is 36 cm. Write the equation for this statement using two variables.  

If one root of the quadratic, x² - 7x + k = 0 is 4. then find the value of k.

Find the eighteenth term of the A.P.7.13,19,25,....

A die is thrown. Write the sample space. If P is the event of getting an odd number, then write the event P using set notation.

If D_x = 18, D_y = 15 and D = 3 are the values of the determinants for certain simultaneous equations in x and y, then find the values of x and y. 

Form the quadratic equation if its roots are 5 and 7. 

If for certain frequency distribution, Median = 156 and Mode = 180, Find the value of the Mean. 

Solve the quadratic equation 2x² + 5x + 2= 0 using formula method.

There are 30 tickets numbered from 1 to 30 in the box and a ticket is drawn at random. If A is the event that the number on the ticket is a perfect square, then write the sample space S, n(S), the event A and n(A).

Obtain the sum of the first 56 terms of an A.P. whose 18^th and 39^th terms are 52 and 148 respectively.

Draw the graph of the equation 3x - y =-6 and write the points of intersection of the graph with the X-axis and Y-axis. 

Electricity used by farmers during different parts of a day for irrigation is as follows:

Draw a pie diagram to represent this information. 

A card is drawn at random from a well-shuffled pack of 52 playing cards. Find the probability of the events that the card drawn is :

(a) a king (b) a face card.

Solve the quadratic equation : 3x⁴ - 13x² +10 = 0.

The maximum bowing speed (km/hour) or 33 players at a cricket coaching centre is given below:

find the modal bowling speed of players. 

Students of a school were made to stand in rows for drill. If 3 students less were standing in each row, 10 more rows would be required and if 5 students more were standing in each row, then the number of rows would be reduced by 10. Find the number of students participating in the drill.

in winter, the temperatures at a hill station from Monday to Friday are in A.P. The sum of the temperatures of Monday, Tuesday and Wednesday is 0° C and the sum of the temperatures of  Thursday and Friday is 15° C. Find the temperature of each of the five days.  

Draw the Histogram and hence, the frequency polygon for the following frequency distribution: