EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Coordinate System and Graphs
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        3
        )
      • ,
      • (
        (
        1
        )
        ,
        3
        )
      • ,
      • (
        0
        ,
        3
        )
      • ,
      • (
        1
        ,
        3
        )
      • ,
      • (
        2
        ,
        3
        )
    • ?
  • (i)
    (
    5
    x
    +
    6
    y
    3
    )
    =
    0
  • (ii)
    x
    =
    3
  • (iii)
    x
    =
    (
    5

    3
    y
    2
    )
  • (iv)
    y
    =
    (
    5

    3
    x
    +
    8
    )
  • (v)
    y
    =
    3
Question 2
2.
Which of the following is a point on the positive x-axis?
  • (i)
    (
    0
    ,
    (
    9
    )
    )
  • (ii)
    (
    9
    ,
    0
    )
  • (iii)
    (
    0
    ,
    3
    )
  • (iv)
    (
    (
    3
    )
    ,
    0
    )
  • (v)
    (
    (
    7
    )
    ,
    5
    )
Question 3
3.
Which of the following is a point on the negative x-axis?
  • (i)
    (
    (
    5
    )
    ,
    6
    )
  • (ii)
    (
    0
    ,
    9
    )
  • (iii)
    (
    (
    5
    )
    ,
    0
    )
  • (iv)
    (
    0
    ,
    (
    6
    )
    )
  • (v)
    (
    7
    ,
    0
    )
Question 4
4.
Identify the point belonging to the fourth quadrant
  • (i)
    (
    5
    ,
    7
    )
  • (ii)
    (
    (
    9
    )
    ,
    (
    1
    )
    )
  • (iii)
    (
    (
    7
    )
    ,
    4
    )
  • (iv)
    (
    6
    ,
    (
    3
    )
    )
Question 5
5.
Which of the following is a point on the negative y-axis?
  • (i)
    (
    0
    ,
    (
    2
    )
    )
  • (ii)
    (
    (
    8
    )
    ,
    5
    )
  • (iii)
    (
    (
    6
    )
    ,
    0
    )
  • (iv)
    (
    0
    ,
    9
    )
  • (v)
    (
    2
    ,
    0
    )
Question 6
6.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      3

      5
      x
      6

      5
      )
  • (i)
      • line with point
      • U
  • (ii)
      • line with point
      • X
  • (iii)
      • line with point
      • W
  • (iv)
      • line with point
      • T
  • (v)
      • line with point
      • V
Question 7
7.
Distance of the point (8,7) from x-axis is
  • (i)
    (
    1
    )
  • (ii)
    1
  • (iii)
    8
  • (iv)
    15
  • (v)
    7
Question 8
8.
If point P(x,y) lies in the third quadrant, then
  • (i)
    x is negative and y is positive
  • (ii)
    x is positive and y is positive
  • (iii)
    x is negative and y is negative
  • (iv)
    x is positive and y is negative
Question 9
9.
    • The point
    • (
      (
      3
      )
      ,
      4
      )
    • lies in
  • (i)
    second quadrant
  • (ii)
    fourth quadrant
  • (iii)
    first quadrant
  • (iv)
    third quadrant
Question 10
10.
Which of the following is a point on the y-axis?
  • (i)
    (
    6
    ,
    0
    )
  • (ii)
    (
    (
    7
    )
    ,
    3
    )
  • (iii)
    (
    0
    ,
    5
    )
  • (iv)
    (
    7
    ,
    (
    8
    )
    )
  • (v)
    (
    4
    ,
    4
    )
Question 11
11.
The coordinates of a point which is 7 units away from x-axis and 1 unit away from y-axis in the fourth quadrant is
  • (i)
    (
    1
    ,
    (
    7
    )
    )
  • (ii)
    (
    (
    1
    )
    ,
    7
    )
  • (iii)
    (
    (
    7
    )
    ,
    1
    )
  • (iv)
    (
    1
    ,
    7
    )
  • (v)
    (
    (
    1
    )
    ,
    (
    7
    )
    )
Question 12
12.
    • Find the set of points satisfying the equation
    • (
      21
      x
      +
      18
      y
      14
      )
      =
      0
  • (i)
    • (
      (
      2
      )
      ,
      28

      9
      )
    • ,
    • (
      (
      1
      )
      ,
      35

      18
      )
    • ,
    • (
      0
      ,
      7

      9
      )
    • ,
    • (
      1
      ,
      (
      7

      18
      )
      )
    • ,
    • (
      4
      ,
      4

      9
      )
  • (ii)
    • (
      (
      2
      )
      ,
      28

      9
      )
    • ,
    • (
      (
      1
      )
      ,
      35

      18
      )
    • ,
    • (
      0
      ,
      7

      9
      )
    • ,
    • (
      0
      ,
      11

      18
      )
    • ,
    • (
      2
      ,
      (
      14

      9
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      28

      9
      )
    • ,
    • (
      (
      1
      )
      ,
      35

      18
      )
    • ,
    • (
      0
      ,
      7

      9
      )
    • ,
    • (
      1
      ,
      (
      7

      18
      )
      )
    • ,
    • (
      2
      ,
      (
      14

      9
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      28

      9
      )
    • ,
    • (
      (
      1
      )
      ,
      35

      18
      )
    • ,
    • (
      1
      ,
      (
      2

      9
      )
      )
    • ,
    • (
      1
      ,
      (
      7

      18
      )
      )
    • ,
    • (
      2
      ,
      (
      14

      9
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      28

      9
      )
    • ,
    • (
      (
      1
      )
      ,
      35

      18
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      11

      9
      )
      )
    • ,
    • (
      1
      ,
      (
      7

      18
      )
      )
    • ,
    • (
      2
      ,
      (
      14

      9
      )
      )
Question 13
13.
A point lies on positive side of x-axis at a distance of 5 units from y-axis. What are the coordinates of the point?
  • (i)
    (
    5
    ,
    0
    )
  • (ii)
    (
    0
    ,
    5
    )
  • (iii)
    (
    0
    ,
    (
    5
    )
    )
  • (iv)
    (
    (
    5
    )
    ,
    0
    )
Question 14
14.
    • Which of the displayed lines represent the equation
    • (
      4
      x
      4
      y
      4
      )
      =
      0
    • ?
  • (i)
      • line with point
      • W
  • (ii)
      • line with point
      • T
  • (iii)
      • line with point
      • X
  • (iv)
      • line with point
      • V
  • (v)
      • line with point
      • U
Question 15
15.
Determine the coordinates of point Q in the diagram.
  • (i)
    (
    (
    6
    )
    ,
    8
    )
  • (ii)
    (
    (
    6
    )
    ,
    (
    8
    )
    )
  • (iii)
    (
    8
    ,
    6
    )
  • (iv)
    (
    6
    ,
    (
    8
    )
    )
  • (v)
    (
    6
    ,
    8
    )
Question 16
16.
    • Find the set of points satisfying the equation
    • y
      =
      (
      13

      7
      x
      55

      7
      )
  • (i)
    • (
      (
      2
      )
      ,
      (
      29

      7
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      6
      )
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      69

      7
      )
      )
    • ,
    • (
      1
      ,
      (
      68

      7
      )
      )
    • ,
    • (
      2
      ,
      (
      81

      7
      )
      )
  • (ii)
    • (
      (
      2
      )
      ,
      (
      29

      7
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      6
      )
      )
    • ,
    • (
      1
      ,
      (
      62

      7
      )
      )
    • ,
    • (
      1
      ,
      (
      68

      7
      )
      )
    • ,
    • (
      2
      ,
      (
      81

      7
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      (
      29

      7
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      6
      )
      )
    • ,
    • (
      0
      ,
      (
      55

      7
      )
      )
    • ,
    • (
      1
      ,
      (
      68

      7
      )
      )
    • ,
    • (
      2
      ,
      (
      81

      7
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      (
      29

      7
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      6
      )
      )
    • ,
    • (
      0
      ,
      (
      55

      7
      )
      )
    • ,
    • (
      1
      ,
      (
      68

      7
      )
      )
    • ,
    • (
      4
      ,
      (
      67

      7
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      (
      29

      7
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      6
      )
      )
    • ,
    • (
      0
      ,
      (
      55

      7
      )
      )
    • ,
    • (
      0
      ,
      (
      61

      7
      )
      )
    • ,
    • (
      2
      ,
      (
      81

      7
      )
      )
Question 17
17.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      2
      x
      )
  • (i)
      • line with point
      • S
  • (ii)
      • line with point
      • P
  • (iii)
      • line with point
      • O
  • (iv)
      • line with point
      • R
  • (v)
      • line with point
      • Q
Question 18
18.
    • Find the set of points satisfying the equation
    • x
      =
      4
  • (i)
    • (
      4
      ,
      (
      2
      )
      )
    • ,
    • (
      4
      ,
      (
      1
      )
      )
    • ,
    • (
      4
      ,
      0
      )
    • ,
    • (
      4
      ,
      1
      )
    • ,
    • (
      6
      ,
      4
      )
  • (ii)
    • (
      4
      ,
      (
      2
      )
      )
    • ,
    • (
      4
      ,
      (
      1
      )
      )
    • ,
    • (
      2
      ,
      (
      2
      )
      )
    • ,
    • (
      4
      ,
      1
      )
    • ,
    • (
      4
      ,
      2
      )
  • (iii)
    • (
      4
      ,
      (
      2
      )
      )
    • ,
    • (
      4
      ,
      (
      1
      )
      )
    • ,
    • (
      4
      ,
      0
      )
    • ,
    • (
      3
      ,
      2
      )
    • ,
    • (
      4
      ,
      2
      )
  • (iv)
    • (
      4
      ,
      (
      2
      )
      )
    • ,
    • (
      4
      ,
      (
      1
      )
      )
    • ,
    • (
      5
      ,
      (
      1
      )
      )
    • ,
    • (
      4
      ,
      1
      )
    • ,
    • (
      4
      ,
      2
      )
  • (v)
    • (
      4
      ,
      (
      2
      )
      )
    • ,
    • (
      4
      ,
      (
      1
      )
      )
    • ,
    • (
      4
      ,
      0
      )
    • ,
    • (
      4
      ,
      1
      )
    • ,
    • (
      4
      ,
      2
      )
Question 19
19.
The y-coordinate of a point is also called as
  • (i)
    origin
  • (ii)
    ordinate
  • (iii)
    x-axis
  • (iv)
    abscissa
  • (v)
    y-axis
Question 20
20.
Determine the quadrant of the displayed point
  • (i)
    third quadrant
  • (ii)
    fourth quadrant
  • (iii)
    first quadrant
  • (iv)
    second quadrant
Question 21
21.
Which of the points (7,8), (-5,2), (-6,-9) and (3,-7) belong to the fourth quadrant?
  • (i)
    (
    3
    ,
    (
    7
    )
    )
  • (ii)
    (
    (
    5
    )
    ,
    2
    )
  • (iii)
    (
    (
    6
    )
    ,
    (
    9
    )
    )
  • (iv)
    (
    7
    ,
    8
    )
Question 22
22.
Identify the point belonging to the third quadrant
  • (i)
    (
    (
    8
    )
    ,
    (
    2
    )
    )
  • (ii)
    (
    8
    ,
    9
    )
  • (iii)
    (
    (
    1
    )
    ,
    1
    )
  • (iv)
    (
    1
    ,
    (
    6
    )
    )
Question 23
23.
The x-coordinate of a point is also called as
  • (i)
    ordinate
  • (ii)
    y-axis
  • (iii)
    x-axis
  • (iv)
    abscissa
  • (v)
    origin
Question 24
24.
Determine the quadrant of the displayed point
  • (i)
    fourth quadrant
  • (ii)
    second quadrant
  • (iii)
    third quadrant
  • (iv)
    first quadrant
Question 25
25.
Identify the point belonging to the first quadrant
  • (i)
    (
    (
    2
    )
    ,
    (
    9
    )
    )
  • (ii)
    (
    (
    9
    )
    ,
    8
    )
  • (iii)
    (
    6
    ,
    (
    3
    )
    )
  • (iv)
    (
    4
    ,
    4
    )
    Assignment Key

  •  1) (v)
  •  2) (ii)
  •  3) (iii)
  •  4) (iv)
  •  5) (i)
  •  6) (iv)
  •  7) (v)
  •  8) (iii)
  •  9) (i)
  •  10) (iii)
  •  11) (i)
  •  12) (iii)
  •  13) (i)
  •  14) (ii)
  •  15) (v)
  •  16) (iii)
  •  17) (iii)
  •  18) (v)
  •  19) (ii)
  •  20) (iv)
  •  21) (i)
  •  22) (i)
  •  23) (iv)
  •  24) (iv)
  •  25) (iv)