SET ONE
SET TWO
iii. Without actually solving the simultaneous equation given below, decide
whether it has unique solution, no solution or infinitely many solutions: x/2 +
y/3 = 4; x/4 + y/6 = 2 [Ans.]
SET THREE
i.
Solve the given quadratic equation by formula method. m^{2} – 3m –
10 = 0. [Ans]
ii.
The first and the last terms of an A.P. are 13 and 216 respectively. The common
difference is 7. How many terms are there in that A.P.? Also, find the sum of
all the terms in it. [Ans]
iii.
In the given experiment, write sample space S and the events P and Q. Write
also n(S), n(P) and n(Q). Three coins are tossed simultaneously. P is the event
of getting at least two heads and Q is the event of getting no head. [Ans]
iv.
Below is given the distribution of money in (Rs.) collected by students for a
flood relief fund. [Ans]
Money
(in Rs.)

0
– 10

10
– 20

20
– 30

30
– 40

40
– 50

No.
of students

5

7

5

2

6

Find
the Mean of money collected by a student by using 'Direct Method'.
v.
The number of hours spent by a school boy in different activities in a day is
given below: [Ans]
Activity

Sleep

School

Play

Homework

Others

Total

No.
of hours

8

7

2

4

3

24

Represent
the above information using a pie diagram.
SET FOUR
i. Solve the
given quadratic equation by factorization method, 3x^{2} – x
– 10 = 0. (Ans.)
ii. If two coins
are tossed simultaneously, then find the probability of the following events:(Ans.)
(a) at least one
tail turns up.
(b) no head turns
up.
(c) at the most
one tail turns up.
iii. Find S_{10} if a
= 6 and d = 3. (Ans. )
iv. Complete the
following table of cumulative frequency.
(Ans.)
(Ans.)
Class

20 – 25

25 – 30

30 – 35

35 – 40

Frequency

2

6

14

29

C.F. less than
upper limit

2

?

?

?

v. The following
table shows the frequency distribution of the waiting time at an ATM centre.
Draw a histogram to represent the data. (Ans.)
Waiting time in
seconds

0 – 30

30 – 60

60 – 90

90 – 120

120 – 150

150 – 180

No. of
Customers

20

28

68

54

10

3

SET FIVE
ii. Determine the nature of the roots of the
equation 2y^{2} + 5y – 3 = 0 from its discriminanats. (click for answer)
iii. Solve the following simultaneous equations
using graphical method. x + 2 y = 5; y = 2 x – 2. (Click for answer)
iv. Forty persons were examined for their
Haemoglobin % in blood (in mg per 100 ml) and the results were grouped as
below: Find Mode. (Click for answer)
Haemoglobin % (mg/100ml)

13.1 – 14

14.1 – 15

15.1 – 16

16.1 – 17

17.1 – 18

No. Of persons

8

12

10

6

4

SET SIX
(i) Find the first three terms of the
sequence, whose nth terms is t_{n} = 4n – 3. [Ans. 1, 5, 9]
(ii) Solve the following quadratic equation
by factorization method: x^{2} – 5x – 36 = 0. [Ans. x = 9 or – 4 ]
(iii) Two – digit numbers are formed from the
digits 0, 1, 2, 3, 4 where digits are not repeated. Find the probability of the
events that:
(a) the number formed is an even number. [Ans. 5/8]
(b) the number formed is a prime number. [Ans. 5/16]
(iv) Below is given the distribution of money
(in Rs. ) Collected by students for flood relief fund. [Ans. Rs. 23.80]
Money
(In Rs.)

0 – 10

10 – 20

20 – 30

30 – 40

40 – 50

Number of Students

5

7

5

2

6

Find mean of money (in Rs. ) collected by a
student using ‘Direct Method’.
(v) The number of hours, spent by a school
boy in different activities in a day is given below. [Ans. The measure of the θ for ∷ Sleep = School = 105^{0} ; Play = 30^{0} ;
Homework = Others = 60^{0} ]
Activity

Sleep

School

Play

Homework

Others

Total

Number of Hours

7

7

2

4

4

24

Represent the above information using pie
diagram.