ICSE-X-Mathematics

Previous Year Paper year:2009

with Solutions - page 3
 
  • #6-c [4]
    The following table gives the wages of workers in a factory:
    Wages in Rs. 45-50 50-55 55-60 60-65 65-70 70-75 75-80
    No. of workers 5 8 30 25 14 12 6
    Calculate the mean by the short cut method.
    Ans :
  • #7
  • #7-a
    Amit Kumar invests Rs. 36,000 in buying Rs. 100 shares at Rs. 20 premium. The dividend is 15% per annum. Find:
    Ans :
  • #7-a-i
    The number of shares he buys
  • #7-a-ii
    His yearly dividend
  • #7-a-iii [3]
    The percentage return on his investment. Give your answer correct to the nearest whole number.
  • #7-b [3]
    What sum of money will amount to Rs. 9,261 in 3 years at 5% per annum compound interest?
    Ans :
    2
  • #7-c [4]
    Mr. Mishra has a Savings Bank Account in Allahabad Bank. His pass book entries are as follows:
    Date Particulars Withdrawals (in Rs.) Deposits (in Rs.) Balance (in Rs.)
    Jan. 4, 2007 By Cash - 1000.00 1000.00
    Jan. 11, 2007 By Cheque - 3000.00 4000.00
    Feb. 3, 2007 By Cash - 2500.00 6500.00
    Feb. 7, 2007 To Cheque 2000.00 - 4500.00
    March 3, 2007 By Cash - 5000.00 9500.00
    March 25, 2007 By Cash - 2000.00 11,500.00
    June 7, 2007 By Cash - 3500.00 15000.00
    Aug. 29, 2007 To Cheque 1000.00 - 14000.00
    Rate of interest paid by the bank is 4.5% per annum. Mr. Mishra closes his account on 30th October, 2007. Find the interest he receives.
    Ans :
  • #8-c
    The given figure represents a hemisphere surmounted by a conical block of wood. The diameter of their bases is 6 cm each and the slant height of the cone is 5 cm. Calculate:
    Ans :
  • #8-c-i
    the height of the cone.
  • #8-c-ii [4]
    the volume of the solid.
  • #9
  • #9-a
    Attempt this question on graph paper.
    Marks obtained by 200 students in examination are given below:
    Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
    No. of Students 5 10 14 21 25 34 36 27 16 12
    Draw an Ogive for the given distribution taking 2 cm = 10 marks on one axis and 2 cm = 20 students on the other axis. From the graph find:
    Ans :

    Marks No. of students cf
    0-10 5 5
    10-20 10 15
    20-30 14 29
    30-40 21 50
    40-50 25 75
    50-60 34 109
    60-70 36 145
    70-80 27 172
    80-90 16 188
    90-100 12 200