SSC Papers for Practice Algebra Maharashtra Board
Q.1. Solve any Five: (5)
1) For a sequence 24,27,30,… find 5th
term.
2) Check whether the numbers are in
A.P 16,20,24,28
3) Write in standard form 7x-2 =-5x2
4) Check whether x =2 is root of equation
x2 – 4 = 0.
5) Find one solution for 3x + 4y = 12
6) Find x if Dx = 30 and D = 10
Q.2. Solve any Four: (8)
1) Find sum of first n natural numbers
2) Rakesh deposits Rs 10 on first day, Rs
12 on second day, Rs 14 on 3rd day and so on. Find the amount
deposited on 12th day.
3) Solve by factorization method 3y2
– 14y + 8 = 0
4) Find nature of root for the following
equation 2x + 7y = 13; 6x + 21y = 24
5) In a right angled triangle one of the
acute angle exceeds the other by 20o. Find measure of angles.
6) Form quadratic equation if roots are 2 and -3
Q.3. Solve any Three: (9)
1) Find first negative term from the
following A.P 122, 116, 110 …….
2) Solve by formula method 4x2
+x – 5 = 0.
3) One diagonal of a rhombus is greater
than other by 4cm. if the area is 96cm2. Find the diagonal.
4) Solve by Cramer’s rule 3x + 2y +
11=0; 7x -4y = 9
5) Solve 1 + 1 = 8; 4 - 2 = 2.
x y x y
Q.4. Solve any Two: (8)
1) For an AP first and last term is 13 and
216 respectively and the common difference is 7. How many terms are there in
A.P. Find sum of all terms.
2) Solve x4 – 29x2 + 100 = 0
3) Solve graphically x +
y =7; x – y = 1
Q.5. Solve any Two: (10)
1) In A.P 7,14,21… how many terms are to
be considered for getting the sum 5740.
2) Around a square pool there is a
footpath of width 2m. if the area of the footpath is 5/4 times that of the
pool. Find area of the pool.
3) 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.