ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Problems on Quadratic Equations
Question 1
1.
Find the number which is less than its square by 210
  • 12
  • 14
  • 16
  • 18
  • 15
Question 2
2.
    • A can do a work in
    • x
    • days and B can do it in
    • (
      x
      +
      8
      		)
    • days.
    • Both of them working together can do it in
    • 8
      1
      34
    • days. Calculate
    • x
  • 16
  • 14
  • 11
  • 13
  • 12
Question 3
3.
The area of a rectangular room is 468.00 sq.m. If the length and breadth are increased by 8 m, the area would become 940.00 sq.m. Find the original dimensions of the room
  • 3.00 m , 156.00 m
  • 4.00 m , 117.00 m
  • 2.00 m , 234.00 m
  • 39.00 m , 12.00 m
Question 4
4.
    • 40 is divided into two parts such that the sum of their reciprocals is
    • 40
      319
    • .
    • Find the two parts
  • (
    9
    ,
    31
    )
  • (
    13
    ,
    27
    )
  • (
    12
    ,
    28
    )
  • (
    11
    ,
    29
    )
  • (
    10
    ,
    30
    )
Question 5
5.
The sum of the squares of two consecutive odd numbers is 130. Find the numbers
      • (-9)
      • ,
      • (-7)
      • or
      • 9
      • ,
      • 7
        		•
      • (-11)
      • ,
      • (-10)
      • or
      • 11
      • ,
      • 10
      • (-10)
      • ,
      • (-8)
      • or
      • 10
      • ,
      • 8
      • (-6)
      • ,
      • (-4)
      • or
      • 6
      • ,
      • 4
      • (-8)
      • ,
      • (-6)
      • or
      • 8
      • ,
      • 6
Question 6
6.
    • One pipe can fill a cistern in
    • 6
    • hours less than the other.
    • The two pipes together can fill it in
    • 5
      5
      8
    • hrs.
    • Find the time that each pipe will take to fill the cistern.
  • 6 hr , 13 hr
  • 12 hr , 18 hr
  • 8 hr , 14 hr
  • 9 hr , 15 hr
  • 10 hr , 16 hr
Question 7
7.
Twice the square of a number exceeds 3 times the number by 665. Find the number
  • 18
  • 16
  • 21
  • 19
  • 20
Question 8
8.
If the difference of two numbers is 5 and their product is 456, find the numbers
      • (-21)
      • ,
      • (-26)
      • or
      • 21
      • ,
      • 26
      • (-19)
      • ,
      • (-24)
      • or
      • 19
      • ,
      • 24
      • (-18)
      • ,
      • (-23)
      • or
      • 18
      • ,
      • 23
      • (-16)
      • ,
      • (-21)
      • or
      • 16
      • ,
      • 21
      • (-20)
      • ,
      • (-25)
      • or
      • 20
      • ,
      • 25
Question 9
9.
    • The sum of the numerator and denominator of a fraction is
    • 27
    • .
    • If
    • 2
    • is added to both the numerator and denominator,
    • the fraction is increased by
    • 2
      85
    • . Find the fraction
  • 2
    3
  • 12
    15
  • 15
    12
  • 14
    15
  • 12
    13
Question 10
10.
    • The denominator of a fraction exceeds the numerator by
    • 5
    • .
    • The square of the fraction is equal to
    • 256
      441
    • . Find the fraction
  • 6
    7
  • 16
    21
  • 16
    23
  • 16
    19
  • 2
    3