ALGEBRA IMPORTANT 1 MARK QUESTIONS SSC

SET ONE

(i) For an A.P.  t3 = 8 and t4 = 12, find the common difference d. [ANS]  [VIDEO]


ii. (x + 5) (x – 2) = 0, find the roots of this quadratic equation. [ANS]

iii. The following data give the number students using different modes of transport: [ANS]

Modes of Transport
Number of Students
Bicycle
140
Bus
100
Walk
70
Train
40
Car
10

From this table, find the central angle (θ ) for the Mode of Transport 'Bus'.

iv. A coin is tossed. Write the sample space S. [ANS]

v. If Σ fixi = 75 and Σ fi = 15, then find the mean x̅. [ANS]

vi. Write the following quadratic equation in a standard form: 3x2 = 10x + 7. [ANS]

SET TWO
Attempt any five sub – questions from the following: 5

(i) Find S2 for the A.P. 3, 5, 7, 9, ……… [Ans. 8]

(ii) If a = 1, b = 8 and c = 15, then find the value of b2 – 4ac.  [Ans. 4]

(iii) Find the width of the class 35 – 45. [Ans. 10]

(iv) By using two variables, write the following statement in mathematical form: The cost of two tables and five chairs is Rs. 2,200. [Ans. 2x + 5y = 2200 ]

(v) If n(A) = 1 and n(S) = 13, then find P(A). [Ans. 1/13]

(vi) For solving the quadratic equation x2 + 8x = - 15 by completing square method, find the third term. [Ans. 16]


SET THREE
Q1. Attempt any five of the following sub – questions:  (5)

i.             Find the next four terms of the sequences: 2, 5, 8, 11 …(click  for answer)
 ii.           Write the quadratic equation 7 – 4x – x2 = 0 in standard form ax2 + bx + c = 0.(click foranswer)

iii.         If 12x + 13y = 29 and 13x + 12 y = 21, find x + y. (click foranswer)

iv.         Two coins are tossed simultaneously. Write the sample space ‘S’ and the number of sample points n(s). (click for answer)

v.           If one root of the quadratic equation x2 – 7x + k = 0   is 4, then find the valueof k.(click for answer)

vi.         Find tn of the A.P. : 3, 6 , 9, ....... (click for answer)

SET FOUR

Q1. Attempt any five sub – questions:           [5]

i. For the given sequence, find the next two terms. 1, 2, 4, 7, 11, ___, ____ (Ans)

ii. Write the given quadratic equation in the standard form. 3y2 = 10y + 7. (Ans)

iii. Find the value of the given determinant. (Ans)
5
2
7
4



  
iv. A die is thrown. Find the sample space 'S' and n(S). (Ans)

v. Find tn of the A.P.: 3, 6, 9, .... (Ans)

vi. Write the extended class boundaries of 19 – 20 and 21 – 22 . (Ans)

SET FIVE
Q1. Attempt any five sub – questions:   [5]

i. Find tn of the given A.P. : 3, 8, 13, 18, ……… [Ans]
ii. Write the given quadratic equation in the standard form. n + 7 / n = 4. [Ans]
iii. Find x + y   from the given simultaneous equations. 12x + 13y = 29 and 13x + 12y = 21. [Ans]
iv. A coin is tossed. Find sample space 'S' and n(S). [Ans]
v. Find the next two terms of the given sequence 2, 4, 8, 16, ……… [Ans]
vi. Write the class mark of the class 60 – 69. [Ans]


SET SIX

PAPER 4

Q1. Attempt any FIVE of the following sub – questions: (5)


ii. Find whether it is a quadratic equation or not:  (q2 – 4)/q2 = - 3  [Ans.]

iii. Find the value of the following determinant.    [Ans]
-4/7
-6/35
5
-2/5