ICSE Board Practice

ICSE Grade VII - Triangles
Question 1
1.
Find the unknown marked angles in the following figure
  • x
    =
    104°
    ,
    y
    =
    151°
  • x
    =
    103°
    ,
    y
    =
    150°
  • x
    =
    107°
    ,
    y
    =
    154°
  • x
    =
    105°
    ,
    y
    =
    152°
  • x
    =
    106°
    ,
    y
    =
    153°
Question 2
2.
Which of the following are measures of an equilateral triangle ?
  • ∠P = 47.29° , ∠Q = 90° , ∠R = 42.71°
  • ∠P = 45° , ∠Q = 90° , ∠R = 45°
  • ∠P = 46.46° , ∠Q = 52.26° , ∠R = 81.28°
  • ∠P = 65.16° , ∠Q = 57.42° , ∠R = 57.42°
  • ∠P = 60° , ∠Q = 60° , ∠R = 60°
Question 3
3.
In the given figure , if IF ⟂ GH and ∠FGI = 41.13°, find ∠IHF
  • 53.51°
  • 57.51°
  • 54.51°
  • 55.51°
  • 56.51°
Question 4
4.
Which of the following are measures of an acute angled triangle ?
  • PQ = 13 cm , QR = 13 cm , RP = 18.38 cm
  • PQ = 15 cm , QR = 27 cm , RP = 14 cm
  • PQ = 12 cm , QR = 15 cm , RP = 19.21 cm
  • PQ = 14 cm , QR = 15 cm , RP = 10 cm
  • PQ = 10 cm , QR = 23 cm , RP = 15 cm
Question 5
5.
In the given figure, calculate the value of x.
  • x
    =
    21.5°
  • x
    =
    22.5°
  • x
    =
    24.5°
  • x
    =
    23.5°
  • x
    =
    20.5°
Question 6
6.
In the given figure, find ∠FDE
  • 109°
  • 110°
  • 108°
  • 107°
  • 111°
Question 7
7.
    • The side opposite to the vertex
    • L
  •  


    NL
     
     
  •  


    LP
     
     
  •  


    MN
     
     
  •  


    OM
     
     
  •  


    LM
     
     
Question 8
8.
Find the measure of each of the two equal angles of an isosceles right-angled triangle.
  • 47°
  • 45°
  • 44°
  • 43°
  • 46°
Question 9
9.
Consider the following figure. State which of the following statements are true
a)
    •  


      CA
       
       
    •  


      AB
       
       
b)
    •  


      AB
       
       
    •  


      BC
       
       
c)
    •  


      AB
       
       
    • =
    •  


      BC
       
       
d)
    •  


      BC
       
       
    •  


      CA
       
       
e)
    •  


      BC
       
       
    • =
    •  


      CA
       
       
f)
    •  


      CA
       
       
    • =
    •  


      AB
       
       
  • {f,c,d}
  • {c,a}
  • {e,b}
  • {a,b,d}
  • {e,a,b}
Question 10
10.
Find the unknown marked angle in the following figure
  • x
    =
    66.62°
  • x
    =
    63.62°
  • x
    =
    67.62°
  • x
    =
    64.62°
  • x
    =
    65.62°