ICSE Board Practice

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ICSE Grade X - Problems on Quadratic Equations
Question 1
1.
    • A can do a work in
    • x
    • days and B can do it in
    • (
      x
      +
      19
      		)
    • days.
    • Both of them working together can do it in
    • 8
      28
      43
    • days. Calculate
    • x
  • 13
  • 15
  • 11
  • 12
  • 9
Question 2
2.
Twice the square of a number exceeds 5 times the number by 592. Find the number
  • (-17)
  • (-19)
  • (-15)
  • (-13)
  • (-16)
Question 3
3.
A stream flows from A to B, a distance of 8.00 km. A man who can row in still water at 5.00 kmph, can row up and down in 8.89 hr . What is the speed of the stream?
  • 3.00 kmph
  • 6.00 kmph
  • 2.00 kmph
  • 4.00 kmph
  • 5.00 kmph
Question 4
4.
    • One pipe can fill a cistern in
    • 1
    • hours less than the other.
    • The two pipes together can fill it in
    • 10
      10
      41
    • hrs.
    • Find the time that each pipe will take to fill the cistern.
  • 22 hr , 24 hr
  • 21 hr , 22 hr
  • 20 hr , 21 hr
  • 19 hr , 20 hr
  • 18 hr , 18 hr
Question 5
5.
If the difference of two numbers is 2 and their product is 143, find the numbers
      • (-10)
      • ,
      • (-12)
      • or
      • 10
      • ,
      • 12
      • (-9)
      • ,
      • (-10)
      • or
      • 9
      • ,
      • 10
      • (-11)
      • ,
      • (-13)
      • or
      • 11
      • ,
      • 13
      • (-13)
      • ,
      • (-16)
      • or
      • 13
      • ,
      • 16
      • (-12)
      • ,
      • (-14)
      • or
      • 12
      • ,
      • 14
Question 6
6.
    • Find the number which exceeds its reciprocal by
    • 12
      12
      13
  • 12
  • 13
  • 10
  • 14
  • 16
Question 7
7.
    • 80 is divided into two parts such that the sum of their reciprocals is
    • 80
      1599
    • .
    • Find the two parts
  • (
    39
    ,
    41
    )
  • (
    37
    ,
    43
    )
  • (
    41
    ,
    39
    )
  • (
    40
    ,
    40
    )
  • (
    38
    ,
    42
    )
Question 8
8.
Find the number which is less than its square by 306
  • 18
  • 19
  • 21
  • 17
  • 15
Question 9
9.
Three consecutive natural numbers are such that the square of the middle number exceeds the difference of the squares of the other two by 252 . Find the three numbers.
  • 14, 15, 16
  • 17, 18, 19
  • 16, 17, 18
  • 20, 21, 22
  • 18, 19, 20
Question 10
10.
The perimeter of a rectangular room is 48.00 m and the length of its diagonal is 17.89 m . Find the dimensions of the room
  • 15.00 m , 9.00 m
  • 14.00 m , 10.00 m
  • 17.00 m , 7.00 m
  • 18.00 m , 6.00 m
  • 16.00 m , 8.00 m