SSC Papers for Practice Algebra Maharashtra Board
Q1. Attempt any 5
from the following 5
1. The sum of the
first n terms of an A.P is 3n + n2bthen find the sum of the sum of
its first two terms.
2. If mean = 62.5.
(mean – median) = 0.3. Find value of mode.
3. Write the
equation 3x +
= 10 in standard form ax2
+ bx + c =0
4. If the roots of
the quadratic equation are -3 and -11
,find the quadratic equation
5. Express the
following information in mathematical form using two variables. One number is
@more than five times the other number.
6. A coin is
tossed and a die is thrown simultaneously P is the event of getting head and an
odd number. Write event P using set form.
Q2. Attempt any 4
from the following 8
1. Solve the
quadratic equation 21x = 196 – x2 by factorization method
2. Find sum of
first 10 terms of an A.P whose first term is 100 and 10th term is
1000.
3. Examine whether
the point (2,5) lies on the graph of the equation 3x-y=1
4. A die is thrown
then find the probability of getting an odd number.
5. There are 15
tickets bearing the numbers from 1 to 15 in a bag and one ticket is drawn at
random from the bag. Find the probability of event that the ticket drawn bears
an odd number.
6. Find mean by
direct method
|
C.I
|
0-10
|
10-20
|
20-30
|
30-40
|
|
Frequency
|
10
|
15
|
20
|
5
|
Q3. Attempt any 3
from the following 9
1. A bag contains
3 red, 4 green and 5 blue balls. Find the probability that a) ball drawn is
red b) not a green ball.
2. Neela saves in
a ‘Mahila bachat gat ‘ Rs 2 on the first day of February , Rs 4 on the second
day ,Rs 6 on the third day and so on. What will be her saving in the month of February?
3. Solve by
completing the squares method 3x2
= 2x + 8
In a right
angled triangle ,one of the acute angle exceeds the other by 20o.Find
the measure of both the acute angles in the right angled triangle
4. Represent the
following data using histogram and hence draw frequency polygon.
|
No
of words typed per min
|
30 – 39
|
40 – 49
|
50 – 59
|
60 – 69
|
70 – 79
|
|
No of typists
|
2
|
8
|
15
|
12
|
3
|
Q4. Attempt any 2
from the following 8
1. In the A.P
7,14,21 …. How many terms are to be considered for getting sum 5740?
2. Numbers of
students admitted in different faculties of a college are given below. Draw a
pie diagram representing the given data;
|
Faculty
|
Science
|
Commerce
|
Arts
|
Law
|
Home science
|
|
No. of students
|
1000
|
1200
|
650
|
450
|
300
|
3. In the
following experiment write sample space s ,number of sample points n(s), events
A,B,C using set form
And n(A),n(B),n(C) also find complementary
events ,mutually exclusive events .
A coin is tossed three times. A is the event
that head appears once, B is the event that head appeared at the most twice , C
is the event that tail does not appear.
Q5. Attempt any 2 from
the following 10
1. A man riding on
a bicycle covers a distance of 60km in a direction of wind and comes back to
his original position in position in 8 hours. If the speed of the wind is 10
km/hr .find the speed of the bicycle.
2. Following table
shows frequency distribution of number of rooms occupied in a hotel per day.
Find median and mode number of rooms occupied per day in the hotel
|
No.
of rooms occupied
|
0 – 10
|
10 – 20
|
20 – 30
|
30 – 40
|
40 – 50
|
50 – 60
|
|
No. of days
|
5
|
27
|
17
|
11
|
9
|
1
|
3. The fore wheel
of a carriage makes 6 revolutions more than the rear wheel in going 120 m. if
the diameter of the fore wheel be increased by 1/4