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 f_ix_i = 75 and Σ f_i = 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 t_n 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 t_n 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 t_n 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)

 i. Find the next four terms of the sequence: 2, 4, 8, 16, ...

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

iv. Is the sequence is an A.P. ? 3m – 1, 3m – 3, 3m – 5 , .......

v.  Two coins are tossed. Find the probability of the events head appears on both the coins.

vi.  For a certain frequency distribution the value of Mean is 101 and Median is 100. Find the value of Mode.