ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Problems on Quadratic Equations
Question 1
1.
    • One pipe can fill a cistern in
    • 5
    • hours less than the other.
    • The two pipes together can fill it in
    • 6
      14
      27
    • hrs.
    • Find the time that each pipe will take to fill the cistern.
  • 13 hr , 19 hr
  • 11 hr , 16 hr
  • 8 hr , 14 hr
  • 12 hr , 17 hr
  • 10 hr , 15 hr
Question 2
2.
The perimeter of a rectangular room is 70.00 m and the length of its diagonal is 29.61 m . Find the dimensions of the room
  • 30.00 m , 5.00 m
  • 28.00 m , 7.00 m
  • 31.00 m , 4.00 m
  • 29.00 m , 6.00 m
  • 27.00 m , 8.00 m
Question 3
3.
The sum of the squares of two consecutive even numbers is 884. Find the numbers
      • 20
      • ,
      • 22
      • or
      • (-20)
      • ,
      • (-22)
        		•
      • 22
      • ,
      • 24
      • or
      • (-22)
      • ,
      • (-24)
      • 21
      • ,
      • 23
      • or
      • (-21)
      • ,
      • (-23)
      • 19
      • ,
      • 21
      • or
      • (-19)
      • ,
      • (-21)
      • 18
      • ,
      • 20
      • or
      • (-18)
      • ,
      • (-20)
Question 4
4.
    • Find the number which exceeds its reciprocal by
    • 14
      14
      15
  • 17
  • 14
  • 16
  • 15
  • 12
Question 5
5.
If the difference of two numbers is 6 and their product is 16, find the numbers
      • 9
      • ,
      • 3
      • or
      • (-9)
      • ,
      • (-3)
      • 8
      • ,
      • 2
      • or
      • (-8)
      • ,
      • (-2)
      • 6
      • ,
      • (-1)
      • or
      • (-6)
      • ,
      • 1
      • 7
      • ,
      • 1
      • or
      • (-7)
      • ,
      • (-1)
      • 11
      • ,
      • 4
      • or
      • (-11)
      • ,
      • (-4)
Question 6
6.
A stream flows from A to B, a distance of 7.00 km. A man who can row in still water at 10.00 kmph, can row up and down in 2.19 hr . What is the speed of the stream?
  • 7.00 kmph
  • 8.00 kmph
  • 6.00 kmph
  • 4.00 kmph
  • 5.00 kmph
Question 7
7.
    • A can do a work in
    • x
    • days and B can do it in
    • (
      x
      +
      11
      		)
    • days.
    • Both of them working together can do it in
    • 16
      56
      69
    • days. Calculate
    • x
  • 29
  • 28
  • 26
  • 31
  • 30
Question 8
8.
    • A play field is
    • 110.00 m
    • by
    • 90.00 m
    • .
    • It has a road all around it on the outside.
    • Find the width of the road if its area is
    • 49
      44
    • of the area of the play field
  • 20.50 m
  • 24.50 m
  • 21.50 m
  • 22.50 m
  • 23.50 m
Question 9
9.
    • The sum of the numerator and denominator of a fraction is
    • 27
    • .
    • If
    • 3
    • is added to both the numerator and denominator,
    • the fraction is increased by
    • 51
      550
    • . Find the fraction
  • 1
    4
  • 22
    5
  • 5
    22
  • 3
    22
  • 7
    22
Question 10
10.
The sum of the ages of a father and his son is 40 years whereas eight years ago, the product of their ages was 23. Find the current ages of the son and the father.
  • 9 years , 31 years
  • 10 years , 30 years
  • 7 years , 33 years
  • 11 years , 29 years
  • 8 years , 32 years