ICSE-X-Mathematics

Previous Year Paper year:2009

with Solutions - page 4
 
  • #9-a-i
    the Median
  • #9-a-ii
    the Upper Quartile
  • #9-a-iii
    Number of students scoring above 65 marks.
  • #9-a-iv [6]
    If 10 students qualify for merit scholarship, find the minimum marks required to qualify.
  • #9-b [4]
    From two points A and B on the same side of a building, the angles of elevation of the top of the building are 30° and 60° respectively. If the height of the building is 10m, find the distance between A and B correct to two decimal places.
    Ans :
  • #10
  • #10-a [3]
    Mrs. Goswami deposits Rs. 1000 every month in a recurring deposit account for 3 years at 8% interest per annum. Find the matured value.
    Ans : 3
  • #10-b [3]
    Find the equation of a line with x intercept = 5 and passing through the point (4, -7).
    Ans :
  • #10-c [4]
    In a school the weekly pocket money of 50 students is as follows:
    Weekly pocket money in Rs. 40-50 50-60 60-70 70-80 80-90 90-100
    No. of students 2 8 12 14 8 6
    Draw a histogram and a frequency polygon on the same graph. Find the mode from the graph.
    Ans :
  • #11
  • #11-a
    The model of a building is constructed with scale factor 1 : 30.
    Ans :
  • #11-a-i
    If the height of the model is 80 cm, find the actual height of the building in metres.
  • #11-a-ii [2]
    If the actual volume of a tank at the top of the building is 27m3, find the volume of the tank on the top of the model.
  • #11-b [4]
    The speed of an express train is x km/h and the speed of an ordinary train is 12 km/h less than that of the express train. If the ordinary train takes one hour longer than the express train to cover a distance of 240 km, find the speed of the express train.
    Ans :
  • #11-c
    Using ruler and compasses construct
    Ans : Steps of construction:
    1. Draw â–³ABC with given values.
    2. Draw XY perpendicular bisector of AC.
    3. Draw perpendicular of AB at A which cuts perpendicular XY at O.
    4. Draw a circle at centre O which touching AB at A and passing through C i.e., required circle.