AS PER NEW SYLLABUS
MARKS: 40 MARKS
MARKS: 40 MARKS
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)
Q2. Attempt any four of the following sub – questions: (8)
i.
Find the first
four terms of the sequence, whose nth term is tn = n2
– 2n (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)
Q3. Attempt any three of the following sub – questions. (9)
i.
How many three
digit natural number are divisible by 4? (Click for answer)
ii.
Determine the
nature of the roots of the equation 2y2 + 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
|
Q4. Attempt any TWO of the folliwng sub – questions: (8)
1. The 11th term and 21st
term of an A.P. are 16 and 29 respectively then find (Click for answer)
a. The first term and the common
difference
b.
The 34th
term c. ‘n’
such that tn = 55.
2. Solve: x4 – 3x2
+ 2 = 0. (Click for answer)
3. Below is given frequency distribution
of no. Of packages received at a post office per day. Find mean. (Click for answer)
No. of Packages
|
10 – 20
|
20 – 30
|
30 – 40
|
40 – 50
|
50 – 60
|
60 – 70
|
No. of days
|
2
|
8
|
16
|
24
|
30
|
20
|
Q5. Attempt any TWO of the following sub questions. (10)
i.
In winter the
temperature at hill station from Monday to Friday is in A.P. The sum of the
temperatures of Monday, Tuesday and Wednesday is zero and the sum of the
temperature of Thursday and Friday is 15. Find the temperature of each of the
five days. (Click for answer)
ii. Two
fair dice are thrown, find the probability of the following events
iii. Solve: (x2 +
x) (x2 + x – 2 ) = 24 (Click for answer)
that the sum of the
scores on their upper faces is (Click for answer)
(a) less than four
(b) Multiple of 5
(c) Perfect squareTRY THESE PAPERS TOO
