ICSE Board Practice

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ICSE Grade X - Problems on Quadratic Equations
Question 1
1.
In a two digit number, the unit's digit exceeds it ten's digit by 1 and the product of the given number and the sum of its digits is equal to 115 . Find the number
  • 12
  • 56
  • 34
  • 45
  • 23
Question 2
2.
    • The denominator of a fraction exceeds the numerator by
    • 8
    • .
    • The square of the fraction is equal to
    • 81
      169
    • . Find the fraction
  • 9
    13
  • 8
    13
  • 9
    14
  • 10
    13
  • 3
    4
Question 3
3.
The sum of the squares of two consecutive odd numbers is 650. Find the numbers
      • (-16)
      • ,
      • (-14)
      • or
      • 16
      • ,
      • 14
      • (-21)
      • ,
      • (-19)
      • or
      • 21
      • ,
      • 19
      • (-18)
      • ,
      • (-16)
      • or
      • 18
      • ,
      • 16
      • (-19)
      • ,
      • (-17)
      • or
      • 19
      • ,
      • 17
        		•
      • (-20)
      • ,
      • (-18)
      • or
      • 20
      • ,
      • 18
Question 4
4.
Twice the square of a number exceeds 3 times the number by 702. Find the number
  • (-19)
  • (-17)
  • (-16)
  • (-18)
  • (-20)
Question 5
5.
    • 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
    • 6
      24
      31
    • days. Calculate
    • x
  • 19
  • 21
  • 20
  • 22
  • 24
Question 6
6.
    • The sum of the numerator and denominator of a fraction is
    • 13
    • .
    • If
    • 1
    • is added to both the numerator and denominator,
    • the fraction is increased by
    • 1
      56
    • . Find the fraction
  • 6
    5
  • 4
    7
  • 7
    6
  • 8
    7
  • 6
    7
Question 7
7.
The perimeter of a rectangular room is 90.00 m and the length of its diagonal is 36.40 m . Find the dimensions of the room
  • 35.00 m , 10.00 m
  • 36.00 m , 9.00 m
  • 34.00 m , 11.00 m
  • 33.00 m , 12.00 m
  • 37.00 m , 8.00 m
Question 8
8.
A number is of two digits. The digit in unit's place is the square of the digit in ten's place. The number formed by reversing the digits exceeds twice the number by 15 . Find the number
  • 38
  • 39
  • 36
  • 42
  • 40
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 192 . Find the three numbers.
  • 16, 17, 18
  • 13, 14, 15
  • 15, 16, 17
  • 18, 19, 20
  • 14, 15, 16
Question 10
10.
Find the number which is less than its square by 72
  • 8
  • 12
  • 6
  • 10
  • 9