ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Circles
Question 1
1.
Which of the following statements are true?
a)
Equal length chords subtend equal angles at the centre of the circle.
b)
No two chords bisects each other.
c)
The longest chord of the circle passes through the centre of the circle.
d)
The farther the chord is from the centre, the larger the angle it subtends at the centre.
e)
Equal length chords are equidistant from the centre of the circle.
  • {a,c,e}
  • {b,a}
  • {d,c}
  • {b,a,c}
  • {b,d,e}
Question 2
2.
Which of the following figures represent a diameter ?
  • fig I
  • fig V
  • fig IV
  • fig II
  • fig III
Question 3
3.
Find the points belonging to the outside of the circle
  • {P,S}
  • {N,Q}
  • {O,R}
  • {S,O}
  • {Q,P}
Question 4
4.
    • The minor sector of the circle is
  • HCEDH
  • CED
  • CFD
  • CEDGC
  • CFDGC
Question 5
5.
    • The centre of the circle is
  • G
  • C
  • E
  • D
  • B
Question 6
6.
The segment of the circle containing the centre of the circle is called
  • major segment
  • diameter
  • circumference
  • radius
  • semi-circle
Question 7
7.
Which of the following statements are true?
a)
Atmost one circle can be drawn passing through three non-collinear points.
b)
Only one circle can be drawn with a centre.
c)
Exactly two tangents can be drawn parallel to a secant.
d)
Only one circle can be drawn passing through two points.
e)
Infinite circles can be drawn passing through three collinear points.
  • {d,c,a}
  • {b,a}
  • {a,c}
  • {d,c}
  • {e,b,a}
Question 8
8.
Which of the following statements are true?
a)
A circle consists of an infinite number of points.
b)
Each radius of a circle is also a chord of the circle.
c)
A line can meet a circle atmost at two points.
d)
Every circle has a unique centre.
e)
Every circle has a unique diameter.
  • {a,c,d}
  • {b,e,d}
  • {b,a}
  • {e,c}
  • {b,a,c}
Question 9
9.
    • The chords of the circle are
  •  

    GH
     
     
    ,
     

    HI
     
     
    ,
     

    IJ
     
     
    ,
     

    JK
     
     
    ,
     

    KG
     
     
  •  

    HI
     
     
    ,
     

    IJ
     
     
    ,
     

    JK
     
     
    ,
     

    KG
     
     
  •  

    LG
     
     
    ,
     

    LH
     
     
    ,
     

    LI
     
     
    ,
     

    LJ
     
     
    ,
     

    LK
     
     
  •  

    GH
     
     
    ,
     

    HI
     
     
    ,
     

    IJ
     
     
    ,
     

    JK
     
     
    ,
     

    KG
     
     
    ,
     

    IK
     
     
  •  

    GH
     
     
    ,
     

    HI
     
     
    ,
     

    IJ
     
     
    ,
     

    JK
     
     
    ,
     

    KG
     
     
    ,
     

    LG
     
     
Question 10
10.
If the radius of a circle is 42 cm, what is its diameter?
  • 86 cm
  • 84 cm
  • 82 cm
  • 85 cm
  • 83 cm