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ALGEBRA MODEL QUESTION PAPER

ALGEBRA STD: 10


Q 1) Solve any five (5)
  1. 30,34,38,…Find next two terms of sequence.
  2. Write the equations in standard form (x+4)(x-3)=0
  3. If Dy =15, and D =3 are values. Find value of y.
  4. If a =3 and d=2 then find t10.
  5. If ∑fx = 510 and ∑f =50. Find mean.
  6. Two coins are tossed simultaneously. Write the number of sample point n(S).
Q 2) Solve any four (8)

  1. If the following terms are in A.P then write its general formula. -5,2,9,16
  2. If one root of the equation is x2 – 7x + k =0 is 4 the find the value of k.
  3. Solve using Cramer’s rule x+18 = 2y, y = 2x-9
  4. A die is thrown. Find the probability M of getting odd number and N a perfect square.
  5. If mean = 106, mode = 103, find median. 
    6.
  6. Calculate median for the following
    Class Interval
    10-20
    20-30
    30-40
    40-50
    Frequency
    15
    20
    25
    10

    Q 3) Solve any three . (9)
    1. The 11th term and 21st term of an A.P. are 19 and 34 respectively. Find the 1st term (a) and the common differene (d) . 
    2. Solve the following by completing the squares method 4y2-12y+7=0.
    3. Solve the following graphically x+2y =5; y= -2x-2
    4. A card is drawn from a well shuffled pack of 52 cards. Find probability that the card drawn is   i) face card of spade   ii) not of diamond.
      5.
    5. Draw the pie diagram for the following data.
      Item
      Food
      Cloth
      Rent
      Taxes
      Saving
      Amount
      30
      45
      15
      60
      30


      Q 4 ) Solve any two (8)
      1. Find four consecutive terms in an A.P whose sum is -54 and the sum of 1st and 3rd term is -30.
      2. Solve the following equations x4 – 3x2 +2 =0
      3. Calculate mean using step deviation method
        4.
      4. C.I
        24-30
        30-36
        36-42
        42-48
        48-54
        Frequency
        7
        16
        20
        17
        20



        Q 5 Solve any two (10)
        1. Two years ago my age was 4 ½ times age of my son. Six years ago my age was twice the square of the age of my son. What is the present age of my son?
        2. A meeting hall has 20 seats in the first row, 24 seats in the second row, 28 seats in third row and so on. It has 30 rows, then find the number of seats in the hall.
        4. Two dice are rolled. Find the probability that i) the product of the numbers on their upper faces is 12 (ii) the same number on the upper faces
          5.