SET ONE
i. State
whether the following sequence is an A.P. or not: 1, 3, 6, 10, ……… [Ans]
ii. Solve the
following quadratic equation by factorization method: 9x2 – 25
= 0. [Ans]
iii. If the
point (3,2) lies on the graph of the equation 5x + ay = 19, then find a. [Ans]
iv. If 12x +
13y = 29 and 13x + 12y = 21, find x + y. [Ans]
v. A die is
thrown then write the sample space (S) and number of sample points n(S) and
also write events A of getting even umber on the upper surface and write n(A). [Ans.]
vi. For a
certain frequency distribution, the value of mean is 20 and mode is 11. Find
the value of median. [Ans]
SET TWO
(i) Find the first four terms in an A.P. when a = 10
and d = 3. [Ans. 10, 13, 16, 19]
(ii) Prepare the cumulative frequency (less than
type) table from the following distribution table: [Ans. C.F. : 2, 5,
12, 20, 25]
|
Class
|
0 – 10
|
10 – 20
|
20 – 30
|
30 – 40
|
40 – 50
|
|
Frequency
|
2
|
3
|
7
|
8
|
5
|
(iii) Form the quadratic equation if the roots are 6
and 7. [Ans. x2 – 13x + 42 = 0 ]
(iv) Find the value of determinant [Ans. 6 ]
|
5
|
2
|
|
7
|
4
|
(v) Find tn for the A.P. 3, 8, 13,
18, ……[Ans. 5n – 2 ]
(vi) Three coins are tossed simultaneously, find S
and n(S) [Ans. S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} n(S) = 8]
SET THREE
Q1. Attempt any five of the following sub –
questions: (5)
i. Find
the first four terms of the sequence, whose nth term is tn =
n2 – 2n(Click for answer)
ii. Solve x2 –
17 x + 60 = 0 by factorisation method. (Click for answer)
iii. Find Dx and
Dy of the given simultaneous equations. 3x – 2y = 3 and 2x + y
= 16. (Click for answer)
iv. Form two digit
number using the digits 0, 1, 2, 3 without repeating the digits. Write sample
space ‘S’, n(S), event P and n(P) where P is the event that the number so
formed is divisible by 3. (Click for answer)
v. A
die is thrown, find the probability of the events
a. Getting a number less than 3, b.
Getting a prime number. (click for answer )
vi. State whether
the given equation is quadratic or not: y + 1/y = 3. (Click for answer)
SET FOUR
Q1. Attempt any five sub –
questions: [5]
i. State whether the following sequence is
an A.P. or not 13, 23, 33, 43, .... (Ans)
ii. Solve the given quadratic equation by
factorization method. x2 -13 x – 30 = 0. (Ans)
iii. Find Dx and Dy of
the given simultaneous equations. 3x – 2y = 3 and 2x + y = 16.(Ans)
iv. A die is thrown. Find the probability
of obtaining a perfect square on its upper surface.(Ans.)
v. For a certain frequency distribution,
the values of Median and Mode are 95.75 and 95.5 respectively, Find the value
of Mean. (Ans.)
vi. State whether the given equation is a
quadratic or not. y + 1/y = 3 (Ans.)
SET FIVE
Q1.
Attempt any five sub – questions: [5]
i. Write the values of a, b and c
from the given quadratic equation and hence find the value of the
discriminant. 3x2 + 2x – 1 = 0. [Ans]
ii. Find the first four terms of an A.P. ,
if a = 0 and d = - 3 . [Ans]
iii. A box contains 20 cards marked with
numbers from 1 to 20. One card is taken out of the box at random. What is the
probability that the number on the card is a prime number? [Ans]
iv. Form a quadratic equation whose roots
are 5 and – 7. [Ans]
v. Examine whether the point ( 2 , 5 ) lies
on the graph of the equation 3x – y = 1. [Ans]
vi. For a certain frequency distribution,
the value of the Mean is 101 and that of the Median is 100. Find the value of
the Mode. [Ans]
SET SIX
i. There
are 3 red, 3 white and 3 green balls in a bag. One ball is drawn at random from
a bag :
P is the event that ball is red.
Q is the event that ball is not green.
R is the event that ball is red or
white. [Ans.]
ii. Solve
the following simultaneous equations using Cramer’s rule : 3x + y = 1; 2x = 11y
+ 3 [Ans.]
iii. In
the example given below determine whether the values given against each of the
quadratic equation are the roots of the equation or not: x2 +
5x – 14 = 0, x = √2 , –7, 3 [Ans]
v. The
marks scored by students in mathematics in a certain examination are given
below: [Ans.]
|
Marks scored
|
1 – 20
|
21 – 40
|
41 – 60
|
61 – 80
|
81 – 100
|
|
Number of students
|
3
|
8
|
19
|
18
|
6
|
