SSC Papers for Practice Algebra Maharashtra Board
Q1. Attempt any 5
from the following 5
1. Find next two
terms of the following sequence : 2,5,8,11…..
2. If the roots of
the quadratic equation are 5 and -7 find that quadratic equation
3. Write the
sample space of two coins.
4. If Dx = -18 and D = 3 are the values
of the determinants for certain simultaneous equations in x and y find x
5. Following table
shows frequency distribution of number of trees planted by students in the
school .Find the lower boundary (L) of the modal class
|
No
of trees planted
|
0- 10
|
10 – 20
|
20 - 30
|
30 – 40
|
40 – 50
|
|
No of
students
|
30
|
70
|
100
|
70
|
40
|
6. The number of hours spent by a school boy in different activities
in a day is given below.Find the measure of central angle for the activity
‘school’
|
Activity
|
sleep
|
school
|
play
|
homework
|
other
|
Total
|
|
No of hours
|
8
|
7
|
2
|
4
|
3
|
24
|
Q2. Attempt any 4
from the following 8
1. Find the twenty
fifth term of the A.P: 12,16,20,24
2. Find mode for
the following data
|
C.I
|
85-100
|
100-115
|
115-130
|
130-145
|
|
Frequency
|
9
|
11
|
8
|
5
|
3. Solve the
following quadratic equation by factorization method 7x2 + 4x – 20=
0
4. Find k, if one
of the roots of the quadratic equation kx2 – 7x +12 = 0 is 3
5. Without
actually solving the simultaneous equations given below decide whether they
have unique solution , no solution or infinitely many solutions 3x + 5y = 16 ; 4x – y = 6
6. A box contains
20 cards marked with the numbers 1 to 20 . one card is drawn from this box at
random.What is the probability that the number on the card is a prime number?
Q3. Attempt any 3
from the following 9
1. How many three
digit natural numbers are divisible by 4?
2. Solve the
following quadratic equation by using formula method 7x + 1 = 6x2
3. Solve the
following simultaneous equation 16
x+y x-y x+y x-y
4. A coin is
tossed three times then find the probability of (i) getting exactly one tail
(ii)getting no tail
5. Draw the
histogram to represent the following data
|
Daily
sales of stores in (Rs)
|
0
– 1000
|
1000-
2000
|
2000
– 3000
|
3000
– 4000
|
4000-
5000
|
Total
|
|
No. of days
in a month
|
2
|
12
|
10
|
4
|
2
|
30
|
Q4. Attempt any 2
from the following 8
1. Find the four
consecutive terms in an A.P whose sum is 12 and the sum of 3rd and 4th
term is 14
2. Two dice are
thrown .Find the probability of the events (i) The products of numbers on their
upper face is 12
(ii) The sum of the numbers on their upper
faces is multiple of 7
3. Draw the pie
diagram for the following data.
|
Agriculture
|
Irrigation
|
Electricity
|
Industry
|
Communication
|
Others
|
|
25
|
15
|
15
|
30
|
10
|
5
|
Q5. Attempt any 2
from the following 10
1. A bus
covers a certain distance with uniform
speed.if the speed of the bus would have been increased by 15 km/h.it would have taken two hours less to
cover the same distance. And if the
speed of the bus would have been
decreased by 5 km/h it would have taken one hour more to cover the same distance. Find the distance covered
by the bus.
2. A boat takes 10
hours to travel 30km upstream and 44km downstream. But it takes 13 hours to
travel 40km upstream and 55km downstream. Find the speed of the boat in still
water and the speed of stream.
3. Calculate mean
using step deviation method.
|
C.I
|
100-150
|
150-200
|
200-250
|
250-300
|
300-350
|
|
Frequency
|
2
|
7
|
10
|
7
|
6
|