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 exceeds its reciprocal by
    • 8
      8
      9
  • 10
  • 7
  • 9
  • 11
  • 8
Question 2
2.
A two digit number is such that the product of the digits is 20. When 9 is added to the number, the digits are reversed. Find the number
  • 42
  • 44
  • 46
  • 47
  • 45
Question 3
3.
Twice the square of a number exceeds 5 times the number by 25. Find the number
  • 3
  • 5
  • 4
  • 6
  • 8
Question 4
4.
Three consecutive natural numbers are such that the square of the middle number exceeds the difference of the squares of the other two by 45 . Find the three numbers.
  • 9, 10, 11
  • 7, 8, 9
  • 11, 12, 13
  • 8, 9, 10
  • 5, 6, 7
Question 5
5.
The sum of the squares of two consecutive even numbers is 4. Find the numbers
      • (-1)
      • ,
      • 1
      • or
      • 1
      • ,
      • (-1)
      • (-2)
      • ,
      • 0
      • or
      • 2
      • ,
      • 0
        		•
      • 0
      • ,
      • 3
      • or
      • 0
      • ,
      • (-3)
      • (-3)
      • ,
      • (-1)
      • or
      • 3
      • ,
      • 1
      • (-5)
      • ,
      • (-3)
      • or
      • 5
      • ,
      • 3
Question 6
6.
    • A can do a work in
    • x
    • days and B can do it in
    • (
      x
      +
      5
      		)
    • days.
    • Both of them working together can do it in
    • 3
      1
      3
    • days. Calculate
    • x
  • 3
  • 6
  • 5
  • 7
  • 4
Question 7
7.
The perimeter of a rectangular room is 88.00 m and the length of its diagonal is 33.62 m . Find the dimensions of the room
  • 33.00 m , 11.00 m
  • 32.00 m , 12.00 m
  • 29.00 m , 15.00 m
  • 30.00 m , 14.00 m
  • 31.00 m , 13.00 m
Question 8
8.
Find the number which is less than its square by 30
  • 8
  • 5
  • 6
  • 4
  • 7
Question 9
9.
The sum of the ages of a father and his son is 62 years whereas three years ago, the product of their ages was 384. Find the current ages of the son and the father.
  • 12 years , 50 years
  • 10 years , 52 years
  • 11 years , 51 years
  • 9 years , 53 years
  • 13 years , 49 years
Question 10
10.
Find two natural numbers which differ by 9 and the sum of whose squares is 125
  • (
    3
    ,
    12
    )
  • (
    0
    ,
    8
    )
  • (
    1
    ,
    10
    )
  • (
    2
    ,
    11
    )
  • (
    4
    ,
    13
    )