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ALGEBRA MODEL QUESTION PAPER

Q 1) Solve any five   (5)
  1. Find first two terms of of sequence tn = 2n-5.
  2. Write the equations in standard form (x+6)(x-9)=0
  3. If Dy =22, and D =11 are values. Find value of y.
  4. If a =10 and d=-2 then find t2.
  5. If ∑fx = 1250 and ∑f =25. Find mean.
  6. If P(B)= 1/6, n(B)= 5 find n(S)
Q 2) Solve any four (8)
  1. If classes are 20-24 what is class mark
  2. Solve by factorization 2m2 + 19m + 30=0
  3. Solve using Cramer’s rule 2x+y = 6; 7x – 4y = 6.
  4. Two coins are tossed. Find the probability of i) atleast one head ii) same face on both coin.
  5. Find sum of first 10 positive numbers which are multiple of 4.
    6.
  6. Calculate mode 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. Solve the equation using formula method 7x + 1 = 6x2.
    2. In winter the temperature at a hill station from Monday to Friday is in A.P. The sum of temperatures of Monday, Tuesday and Wednesday is zero and the sum of the temperatures of Thursday and Friday is 15. Find temperature of each of five days.
    3. Solve the following graphically 3x – y =7; x + 4y =11
    4. A two digit is formed from digits 2,3,5,7,9 without repitions. Find the probability of the event (a) the number so formed is odd, (b) the number is multiple of 5.
      5.
    5. Draw the pie diagram for the following data.
      Item
      Raw Mat.
      Labour
      Transport
      Packing
      Taxes
      Amount
      800
      300
      100
      100
      140


      Q 4 ) Solve any two (8)
      1. A man repays a loan of Rs 3250 by paying Rs 305 in first month and then decreases the payment by Rs15 per month. How long will take to clear his loan?
      2. If α+β =5 and α3 + β3 = 35, find a quadratic equation whose roots are α and β
        3.
      3. Calculate mean using step deviation method
        C.I
        0-10
        10-20
        20-30
        30-40
        40-50
        50-60
        60-70
        Frequency
        10
        15
        25
        25
        10
        10
        5


        Q 5 Solve any two (10)
        1. 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.
        2. An express train takes 30 minutes less for a journey of 440km. if its usual speed is increased by 8km/hr. Find its usual speed.
        3. A boat takes 6 hours to travel 8km upstream and 32 km downstream and it takes 7 hours to travel 20km upstream and 16km downstream. Find speed of the boat in still water and speed of the stream.