ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Proportion
Question 1
1.
    • Componendo
    • of
    •  
    • 6
      8
      		=
      24
      32
  • 8
    6
    		=
    32
    24
  • 2
    8
    		=
    8
    32
  • 6
    24
    		=
    8
    32
  • 14
    2
    		=
    56
    8
  • 14
    8
    		=
    56
    32
Question 2
2.
    • Find the mean proportional between

    • √

      7
    • and
    • 7

      √

      7
  • 7
  • 10
  • 6
  • 8
  • 5
Question 3
3.
    • If
    • 'b'
    • is the mean proportional between
    • 'a'
    • and
    • 'c'
    • ,
    • then the mean proportional between
    •  
    • (
    • a
      2
    • +
    • b
      2
    • )
    • and
    • (
    • b
      2
    • +
    • c
      2
    • ) is
  • a (b + c)
  • c (a + b)
  • ab + bc + ca
  • b (a + c)
Question 4
4.
    • Componendo and Dividendo
    • of
    •  
    • 7
      		:
      9
      		::
      35
      		:
      45
  • 9
    		:
    7
    		::
    45
    		:
    35
  • 16
    		:
    2
    		::
    80
    		:
    10
  • 16
    		:
    9
    		::
    80
    		:
    45
  • 2
    		:
    9
    		::
    10
    		:
    45
  • 7
    		:
    35
    		::
    9
    		:
    45
Question 5
5.
    • Find the mean proportional between
    • 5.8
    • and
    • 52.2
  • 16.4
  • 18.4
  • 15.4
  • 17.4
  • 19.4
Question 6
6.
    • Find the mean proportional of
    • 72
    • and
    • 2
  • 144
  • 72
  • 12
  • 2
  • 10
Question 7
7.
    • Componendo and Dividendo
    • of
    •  
    • x
      j
      		=
      q
      u
  • x
    q
    		=
    j
    u
  • x
    		  −  
    j
    j
    		=
    q
    		  −  
    u
    u
  • x
    		  +  
    j
    j
    		=
    q
    		  +  
    u
    u
  • x
    		  +  
    j
    x
    		  −  
    j
    		=
    q
    		  +  
    u
    q
    		  −  
    u
  • j
    x
    		=
    u
    q
Question 8
8.
If
a,b,c,d,e,f
are in continued proportion, then which of the following is true?
  • a
    b
    		=
    c
    d
    		=
    e
    f
  • a
    b
    b
    c
    		=
    b
    c
    c
    d
    		=
    c
    d
    d
    e
      • ab
      • =
      • bc
      • =
      • cd
      • =
      • de
  • a
    b
    		=
    b
    c
    		=
    c
    d
Question 9
9.
    • Componendo
    • of
    • l
      		:
      s
      		::
      f
      		:
      q
  • l
    		  −  
    s
    		:
    s
    		::
    f
    		  −  
    q
    		:
    q
  • l
    		  +  
    s
    		:
    l
    		  −  
    s
    		::
    f
    		  +  
    q
    		:
    f
    		  −  
    q
  • s
    		:
    l
    		::
    q
    		:
    f
  • l
    		:
    f
    		::
    s
    		:
    q
  • l
    		  +  
    s
    		:
    s
    		::
    f
    		  +  
    q
    		:
    q
Question 10
10.
    • Alternendo
    • of
    •  
    • 8
      9
      		=
      24
      27
  • 17
    1
    		=
    51
    3
  • 9
    8
    		=
    27
    24
  • 17
    9
    		=
    51
    27
  • 8
    24
    		=
    9
    27
  • 1
    9
    		=
    3
    27