SSC Algebra Paper Probability

Algebra Chapter No 4 Probability

1. If two coins are tossed the find the probability of   a) at least one tail turns up  b) no head turns up. (2m)

2. A single dice is thrown. Find the probability of  a) getting an odd number  b) a perfect square. (2m)

3. A box contains card marked with number 1 to 20. One card is drawn in random. What is the probability   a) the number on the card is prime   b) the number on the card is a perfect square. (3m)

4. One card is drawn form a well shuffled deck of 52 cards. Fin the probability of getting     a) a king of red colour     b)a face card    c) a red face card. (3m)

5. A two digit is formed from digits 2,3,5,7,9 without repetitions. Find the probability of the event (a) the number so formed is odd, (b) the number is multiple of 5. (3m)
6. Find the probability that leap year has 53 Sundays. (3m)

7. Two dice are thrown. Find the probability of     

a)sum of the number on their upper faces is at least nine      

b) sum of the number on the upper face is divisible by 8  

c)same number on upper faces of both the dice. (4m)

SSC Paper Algebra

SSC Model paper for Practice Maharashtra Board

Chapter No. 3;  Linear Equations with two variables.

1. Solve by graphical method :  x + 2y =5; y = -2x -2 (3m)

2. Solve by Cramer’s rule. 3x+2y+11=0; 7x – 4y = 9. (3m)

3. Find value of k for which the given equations have infinitely many solutions. Kx – y + 3-k =0; 4x – ky + k = 0. (3m)

4. Sum of two numbers is 97. If the larger number is divided by the smaller, the  quotient is 7 and the remainder is 1. Find the numbers. (3m)

5. Students of a school were made to stand in rows for drill. If 3 students less were  standing in each row, 10 more rows were required and if 5 students more were standing  in each row then the number of rows was reduced by 10. Find the number of students  participating in the drill. (4m)

6. Solve 27/x-2 + 31/y+3 = 85;  31/x-2 + 27/y+3 = 89   (4m)

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SSC Paper History

SSC model papers for practice Maharashtra Board.

History Set I - 24 Marks

Q.I. (A) Fill Ups :- (3m)

1) Portuguese King _________ motivated the navigation. [William, Henry, Nicholas]

2) At the end of eighteenth century China was regarded as a  _________ nation. [Dormant, Awakened, Progressive]

3) It is considered that _________ is the origin of Industrial Revolution. [France, England, Germany]

Q.I. (B)Match Ups :- (3m)

1) Vasco da Gama 2)Amerigo Vespucci 3)Ferdinand Megellan

a)Circumnavigated the earth by sea route.    b) New sea-route to India c) The north eastern & central parts of America d) Astrolabe

Q.II. Answer in 20-25 words: (4m)

1)      What is economic imperialism?

2)      Why was japan called a recluse nation?

Q.III. Give Reasons: (4m)

1)      China remained undivided.

2)      Europeans started to discover new markets.

Q.IV. Answer in 30-40 words: (6m)

1)      What is the meaning of colonisation?

2)      According to Peking Treaty what restrictions were imposed on China by England?

Q.V. Answer in 60-80 words: (6m)

1)      Write the reasons for imperialism?

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SSC Paper Algebra

Chapter No. 3  Linear Equations with two variables.

1. Solve by graphical method :  4x = y -5; y = 2x + 1. (3m)

2. Solve by Cramer’s rule. 3x + y = 1; 2x = 11y + 3. (3m)

3. Find value of k for which the given equations have infinitely many solutions. Kx – y + 3-k =0;           4x – ky + k = 0. (3m)

4. The perimeter of an isosceles triangle is 24cm. The length of its congruent sides is  13cm less than twice the length of its base. Find the lengths of all sides of the  triangle. (3m)

5. A boat takes 6 hours to travel 8 km upstream and 32 km downstream, and it takes  7 hours to travel 20 km upstream and 16 km downstream. Find the speed of the  boat in still water and the speed of the stream. (4m)

6. Solve 1/3x + 1/5y = 1/15;  1/2x + 1/3y = 1/12 (4m)

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SSC Papers Algebra

SSC Paper for practice Maharashtra Board

Quadratic Equations

1.      Solve by factorisation method :  5x² – 22x - 15 = 0

2.      Solve by completing the squares method : 3y² + 7y + 4 = 0

3.      Solve by formula method :  4m² + m = 5

4.      Form quadratic equation whose one root is 2 + 3√5

5.      Find k if roots of the quadratic equation x² + kx + 40 = 0 are in ratio 2:5

6.      Solve : 2(y² - 6y)²  - 8(y² - 6y +3) – 40 =0

7.      In a garden trees are planted in rows and columns. The number of trees in a row is greater than in each column by 10. Find number of trees in each row if total number of trees is 200.

8.    The sum of four times a number and three times its reciprocal is 7. Find that number.

9.  From a same place at 7 a.m A started walking in north at the speed of 5 km/hr. After 1 hour B started cycling in the east at a speed of 16 km/hr. at what time they will be at distance of 52 km apart from each other.  

SSC Paper English

I. Read the passage and complete the activity given below.

It was now about two o'clock of a moonless night; clouds hung  black and low. Bodwell was at the window in a minute, shouting,  frothing a little, shaking his fist. "We'll sell the house and go back to  Peoria," we could hear Mrs. Bodwell saying. It was some time before  Mother "got through" to Bodwell. "Burglars!" she shouted. "Burglars  in the house!" Herman and I hadn't dared to tell her that it was not  burglars but ghosts, for she was even more afraid of ghosts than of  burglars. Bodwell at first thought that she meant there were burglars  in his house, but finally he quieted down and called the police for  us over an extension phone by his bed. After he had disappeared from  the window, mother suddenly made as if to throw another shoe, not  because there was further need of it but, as she later explained, because        the thrill of heaving a shoe through a window glass had enormously  taken her fancy. I prevented her.  The police were on hand in a commendably short time: a Ford  sedan full of them, two on motorcycles, and a patrol wagon with about  eight in it and a few reporters. They began banging at our front door.  Flashlights shot streaks of gleam up and down the walls, across the  yard, down the walk between our house and Bod well's. "Open up!"  cried a hoarse voice. "We're men from Headquarters!" I wanted to  go down and let them in, since there they were, but mother wouldn't  hear of it. "You haven't a stitch on," she pointed out. "You'd catch  your death." I wound the towel around me again. Finally the cops  put their shoulders to our big heavy front door with its thick beveled  glass and broke it in: I could hear a rending of wood and a splash of  glass on the floor of the hall. Their lights played all over the living-  room and crisscrossed nervously in the dining-room, stabbed into hall-  ways, shot up the front stairs and finally up the back. They caught  me standing in my towel at the top. A heavy policeman bounded up  the steps. "Who are you?" he demanded. "I live here," I said. "Well,  whattsamatta, ya hot?" he asked. It was, as a matter of fact, cold; I  went to my room and pulled on some trousers. On my way out, a cop  stuck a gun into my ribs. "Whatta you doin' here?" he demanded.  "I live here," I said.  

1. State whether the following statements are true or false: (2)

                     i.            It was a moonless night.

                    ii.            Mother was not at all afraid of ghosts.

                   iii.            The cop named Roy picked up the zither.

                    iv.            The policemen never disturbed anything in the house.

2    2. Find out the correct alternative and complete the sentences.                                                     (2)

                     i.            Mother shouted ________________.

a.       Burglars! Burglars! In the house.

b.      Ghosts! Ghosts! In the house.

c.       Snakes! Snakes! In the house.

                   ii.            Mothers flung the shoe of the ________________.

a.       Neighbour

b.      Grandfather

c.       Author

                  iii.            Number of policemen in front of the hall way stairs were  ________________.

a.       Half a dozen

b.      A dozen

c.      Twenty five in numbers

                 iv.            One of the policemen found an old ________________.

a.       Mark

b.      Bag

c.      Zither

3. Match the collocations: (2)

i.            Dining                    ii.            Flash                   iii.            Living                  iv.            Patrol

a.       Wagon b.      Room c.       Light d.      table

4. Grammar (2)

  i.   I prevented her. (Change the voice)

ii.  They caught me standing in my towel at the top. (Add a question tag).

                  5. Has any such incident taken place in your family? How did you tackle it?

II. Read the poem and answer the questions.

But did you ever stop to think, To wonder just exactly what This does to your beloved tot? IT ROTS THE SENSE IN THE HEAD! IT KILLS IMAGINATION DEAD! IT CLOGS AND CLUTTERS UP THE MIND! IT MAKES A CHILD SO DULL AND BLIND HE CAN NO LONGER UNDERSTAND A FANTASY, A FAIRYLAND! HIS BRAIN BECOMES AS SOFT AS CHEESE! HIS POWERS OF THINKING RUST AND FREEZE! HE CANNOT THINK -- HE ONLY SEES!

'All right!' you'll cry. 'All right!' you'll say, 'But if we take the set away, What shall we do to entertain Our darling children? Please explain!' We'll answer this by asking you, 'What used the darling ones to do? 'How used they keep themselves contented Before this monster was invented?' Have you forgotten? Don't you know?

     

 1.   Write any four pairs of rhyming words:                                                                                                   (2)

 2. Why is excessive watching of T.V harmful?                                                                                              (2)

 3. Explain the figure of speech:                                                                                                                      (1)

      “His brains becomes as soft as cheese.”

SSC Paper Algebra

Algebra Chapter No. 1 - Arithmetic Progression.

1. Find the first three terms of AP where a = 4; and d = 2.5
2. Find t20 of AP 25,28,31…..
3. How many three digit natural numbers are divisible by 6
4. Find sum of first 10 natural nos which are divisible by 7.
5. Find four consecutive terms in an A.P whose sum is 12 and sum of  third  and fourth term is 14.
6. Mangla started doing exercise 10 minutes for the first day. She will increase the time of exercise by 5 minutes per day, till she reaches 45 minutes per day. How many days are required to reach 45 minutes.
7. A meeting hall has 20 seats in the first row, 24 seats in the second row and so on. Find the capacity of auditorium which has 25 rows.
8. Obtain the sum of the 56 terms of an A.P whose 19^th and 38^th terms are 52 and 148 respectively.