SSC Papers for Practice Algebra Maharashtra Board
Q1. Attempt any 5
from the following 5
1. Find the mean
if ∑fx = 2500 and∑f = 50.
2. State whether
the following sequence is an A.P. or not 4,9,14,24……
3. Form an
equation for the following example. The sum of a natural number ‘x’ and its
reciprocal is 37
8
4. Which of the
following equations are quadratic? (i) 13 = 5y2 – y3 (ii) - 5 x2 = 2x + 9 3
5. If 12x + 13y=29 and 13x + 12y = 21 find (x + y)
6. A die is thrown
and P is the event of getting a prime number. Write the event P using set form
Q2. Attempt any 4
from the following 8
1. Find the value
of discriminant of the following equation
√3 x2 + 2√2x – 2√3 = 0
2. Without
actually solving the simultaneous equations given below, decide whether these
have unique.
3. Solution, no solution or infinitely many
solutions.8y = x – 10; 2x = 3y +7
4. For an A.P the
first term is 25 and 20th term is 500. Find the common difference.
5. One card is
drawn from a well shuffled deck of 52 cards. Find the probability of getting a
king of red color.
6. Solve by
factorization 49x2 – 25 = 0
7. Below is given
the distribution of money (in Rs) collected by students for flood relief fund.
8. Find the mean of money ( in Rs) collected by
a student by using , ‘direct method’ .
|
Money
(in Rs)
|
0 – 10
|
10 – 20
|
20 – 30
|
30 – 40
|
40 – 50
|
|
No of
students
|
5
|
7
|
5
|
2
|
6
|
Q3. Attempt any 3
from the following 9
1. There is a
auditorium with 35 rows of seats. There are 20 seats in the first row , 22
seats in the second row, 24
seats in the third row, and so on. Find the number of seats in the twenty fifth
rows.
2. Three coins are
tossed simultaneously. Find the probability that a) head at the second position b) no tail
3. If one root of
the quadratic equation kx2 – 20x + 34= 0 is 5 – 2√2
find k
4. Solve the
following simultaneous equations using cramer’s rule x +18 = 2y ; y = 2x -9
5. Represent the
following data using histogram
|
Height
of students (cm)
|
140 – 144
|
145 - 149
|
150 – 154
|
155 - 159
|
|
No of
students
|
2
|
12
|
10
|
4
|
Q4. Attempt any 2
from the following 8
1. Find negative term from the following A.P
122,116,110….( find smallest n such that tn < 0)
2. Two digit number
are formed from the digits 0,1,2,3,4 where digits are not repeated. Find the
probability of the event that (i) The
number formed is an even number. (ii) the number formed is greater than 40
(iii)the number
Formed is prime number
3. The weight of coffee (in gms) in 70 pockets
is given below..Determine the modal weight of coffee in packets.
|
Weights (gm)
|
200 – 201
|
201 – 202
|
202 – 203
|
203 – 204
|
204 – 205
|
205 – 206
|
|
No. of packets
|
12
|
36
|
20
|
9
|
2
|
1
|
Q5. Attempt any 2
from the following 10
1. The weight of a
bucket is 19kg when it is filled with water up to 5/7
2. Exterior angle
of a regular polygon having n sides is more than that of the polygon having n2
side by 50o. Find number of the sides of each polygon.
3. Among the group
of students 10% scored mars below 20. 20% scored marks between 20 and 40, 35%
scored marks between 40 and 60,20% scored marks between 60 and 80.the remaining
30students scored marks between 80 and 100. (i) prepare frequency distribution from
the above information (ii)draw histogram.