ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Mid-Point and Intercept Theorems
Question 1
1.
From the given figure and values, find x
  • (
    62
    ,
    60
    )
  • (
    60
    ,
    60
    )
  • (
    62
    ,
    62
    )
  • (
    60
    ,
    59
    )
  • (
    61
    ,
    61
    )
Question 2
2.
In the given figure, points F , G and H are the mid-points of sides DE, EC and CD of △CDE. Which of the following are true?
a)
    • Area of trapezium
    • DEGH
    • is
    • 1
      4
    • the area of
    • △CDE
b)
All four small triangles have equal areas
c)
Area of △CDE = 4 times area of △FGH
d)
    • Area of
    • △CDE
    • =
    • 1
      3
    • area of
    • △FGH
e)
Area of trapezium DEGH is thrice the area of △CHG
  • {a,b}
  • {a,d,e}
  • {d,c}
  • {a,b,c}
  • {b,c,e}
Question 3
3.
    • In the given figure, three lines l , m and n are such that l ∥ m ∥ n.
    • Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.
    • ∠HAB  =
  • ∠FAC
  • ∠HFE
  • ∠FEH
  • ∠FDA
  • ∠AFD
Question 4
4.
    • In the given figure
    • △BCD
    • ,
    • E
    • is the mid-point of
    •  
    •  

      BC
       
       
    • and
    •  
    •  

      EF
       
       
      ∥
       

      CD
       
       
    • ,
    • then
    •  
    • BE
    • =
  • BF
  • BC
    2
  • CD
  • DB
    2
  • CD
    2
Question 5
5.
    • In the given figure, three lines l , m and n are such that l ∥ m ∥ n.
    • Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.
    • ∠ACF  =
  • ∠FDA
  • ∠EHF
  • ∠ABH
  • ∠DAF
  • ∠FEH
Question 6
6.
    • In the given figure
    • △FGH
    • ,
    • I
    • is the mid-point of
    •  
    •  

      FG
       
       
    • and
    •  
    •  

      IJ
       
       
      ∥
       

      GH
       
       
    • ,
    • then
    •  
    • FJ
    • =
  • GH
    2
  • GH
  • HF
    2
  • FG
    2
  • FI
Question 7
7.
In the given figure, DEFG is a parallelogram such that R is the mid-point of DE and  DE = 2GD. Find ∠GRF
  • 88°
  • 91°
  • 92°
  • 90°
  • 89°
Question 8
8.
In the given figure, the area of the △JKL is x sq.cm. M,N,O are the mid-points of the sides KL , LJ and JK respectively. The area of the △MNO is
      • 2
        3
      • of area of △JKL
      • 3
        4
      • of area of △JKL
      • 1
        3
      • of area of △JKL
      • 1
        4
      • of area of △JKL
      • 1
        2
      • of area of △JKL
Question 9
9.
    • In the given figure, △DEF is a triangle.
    • G
    • ,
    • H
    • &
    • I
    • are mid-points of
    • EF
    • ,
    • FD
    • &
    • DE
    • respectively.
    • Given
    • GH = 9 cm
    • ,
    • HI = 9 cm
    • &
    • IG = 8 cm
    • ,
    • find the sides of the triangle.
      • 19 cm
      • ,
      • 18 cm
      • &
      • 16 cm
      • 15 cm
      • ,
      • 18 cm
      • &
      • 16 cm
      • 18 cm
      • ,
      • 18 cm
      • &
      • 19 cm
      • 18 cm
      • ,
      • 18 cm
      • &
      • 16 cm
      • 18 cm
      • ,
      • 17 cm
      • &
      • 16 cm
Question 10
10.
In the given figure, if A, Q, R, S, T, U are equidistant and RP ∥ UB and AB = 23 cm. Find AP
  • 11.20 cm
  • 10.20 cm
  • 9.20 cm
  • 8.20 cm
  • 7.20 cm