ICSE Board Practice

ICSE Grade IX - Polygons
Question 1
1.
Identify the figure below
  • angle
  • decagon
  • pentagon
  • hexagon
  • circle
Question 2
2.
The value of the exterior angle in a regular polygon when the interior angle is given
  • 90°+ (interior angle)
  • 360°- (interior angle)
  • 180°+ (interior angle)
  • 180°- (interior angle)
Question 3
3.
Sum of the interior angles in a decagon is
  • 1440°
  • 1455°
  • 1445°
  • 1450°
  • 1470°
Question 4
4.
The value of the interior angle in a regular polygon when the exterior angle is given
  • 180°- (exterior angle)
  • 90°+ (exterior angle)
  • 180°+ (exterior angle)
  • 360°- (exterior angle)
Question 5
5.
How many diagonals does a pentagon have?
  • 4
  • 5
  • 7
  • 2
  • 6
Question 6
6.
The angles of a quadrilateral IJKL are in the ratio 1 : 2 : 3 : 6. Find the measure of each angle of the quadrilateral.
  • I
    =
    28°
    ,
    J
    =
    62°
    ,
    K
    =
    89°
    ,
    L
    =
    181°
  • I
    =
    32°
    ,
    J
    =
    59°
    ,
    K
    =
    88°
    ,
    L
    =
    181°
  • I
    =
    30°
    ,
    J
    =
    60°
    ,
    K
    =
    90°
    ,
    L
    =
    180°
  • I
    =
    29°
    ,
    J
    =
    58°
    ,
    K
    =
    91°
    ,
    L
    =
    182°
  • I
    =
    31°
    ,
    J
    =
    59°
    ,
    K
    =
    92°
    ,
    L
    =
    178°
Question 7
7.
How many diagonals does a decagon have?
  • 32
  • 38
  • 36
  • 34
  • 35
Question 8
8.
Two adjacent angles of a parallelogram EFGH are in the ratio 2 : 8. Find the measure of each of its angles.
  • E
    =
    36°
    ,
    F
    =
    144°
    ,
    G
    =
    36°
    ,
    H
    =
    144°
  • E
    =
    38°
    ,
    F
    =
    143°
    ,
    G
    =
    34°
    ,
    H
    =
    145°
  • E
    =
    37°
    ,
    F
    =
    143°
    ,
    G
    =
    38°
    ,
    H
    =
    142°
  • E
    =
    34°
    ,
    F
    =
    146°
    ,
    G
    =
    35°
    ,
    H
    =
    145°
  • E
    =
    35°
    ,
    F
    =
    142°
    ,
    G
    =
    37°
    ,
    H
    =
    146°
Question 9
9.
How many diagonals does a hexagon have?
  • 12
  • 8
  • 6
  • 10
  • 9
Question 10
10.
Identify the figure below
  • circle
  • rectangle
  • parallelogram
  • rhombus
  • square