EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Graphs
Grade : ICSE Grade VII
License : Non Commercial Use
Question 1
1.
Find the equation of the displayed line
  • (i)
    x
    =
    4
  • (ii)
    x
    =
    3
  • (iii)
    y
    =
    3
  • (iv)
    x
    =
    2
  • (v)
    4
    x
    =
    3
Question 2
2.
Distance of the point (7,3) from y-axis is
  • (i)
    3
  • (ii)
    10
  • (iii)
    4
  • (iv)
    (
    4
    )
  • (v)
    7
Question 3
3.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        (
        1
        )
        )
      • ,
      • (
        (
        1
        )
        ,
        (
        1
        )
        )
      • ,
      • (
        0
        ,
        (
        1
        )
        )
      • ,
      • (
        1
        ,
        (
        1
        )
        )
      • ,
      • (
        2
        ,
        (
        1
        )
        )
    • ?
  • (i)
    y
    =
    (
    12

    11
    x
    71

    11
    )
  • (ii)
    (
    10
    x
    +
    7
    y
    5
    )
    =
    0
  • (iii)
    x
    =
    (
    5
    )
  • (iv)
    x
    =
    (
    12

    11
    y
    43

    11
    )
  • (v)
    y
    =
    (
    1
    )
Question 4
4.
Determine the coordinates of point C in the diagram.
  • (i)
    (
    (
    3
    )
    ,
    7
    )
  • (ii)
    (
    3
    ,
    7
    )
  • (iii)
    (
    7
    ,
    (
    3
    )
    )
  • (iv)
    (
    3
    ,
    (
    7
    )
    )
  • (v)
    (
    (
    3
    )
    ,
    (
    7
    )
    )
Question 5
5.
Determine the quadrant of the displayed point
  • (i)
    first quadrant
  • (ii)
    fourth quadrant
  • (iii)
    second quadrant
  • (iv)
    third quadrant
Question 6
6.
    • The point of intersection of x-axis and y-axis
  • (i)
    (
    2
    ,
    0
    )
  • (ii)
    (
    1
    ,
    0
    )
  • (iii)
    (
    0
    ,
    6
    )
  • (iv)
    (
    0
    ,
    0
    )
  • (v)
    (
    1
    ,
    1
    )
Question 7
7.
    • Find the set of points satisfying the equation
    • (
      10
      x
      +
      12
      y
      46
      )
      =
      0
  • (i)
    • (
      (
      2
      )
      ,
      13

      6
      )
    • ,
    • (
      (
      1
      )
      ,
      3
      )
    • ,
    • (
      0
      ,
      23

      6
      )
    • ,
    • (
      1
      ,
      14

      3
      )
    • ,
    • (
      2
      ,
      11

      2
      )
  • (ii)
    • (
      (
      2
      )
      ,
      13

      6
      )
    • ,
    • (
      (
      1
      )
      ,
      3
      )
    • ,
    • (
      (
      2
      )
      ,
      11

      6
      )
    • ,
    • (
      1
      ,
      14

      3
      )
    • ,
    • (
      2
      ,
      11

      2
      )
  • (iii)
    • (
      (
      2
      )
      ,
      13

      6
      )
    • ,
    • (
      (
      1
      )
      ,
      3
      )
    • ,
    • (
      0
      ,
      23

      6
      )
    • ,
    • (
      0
      ,
      17

      3
      )
    • ,
    • (
      2
      ,
      11

      2
      )
  • (iv)
    • (
      (
      2
      )
      ,
      13

      6
      )
    • ,
    • (
      (
      1
      )
      ,
      3
      )
    • ,
    • (
      1
      ,
      17

      6
      )
    • ,
    • (
      1
      ,
      14

      3
      )
    • ,
    • (
      2
      ,
      11

      2
      )
  • (v)
    • (
      (
      2
      )
      ,
      13

      6
      )
    • ,
    • (
      (
      1
      )
      ,
      3
      )
    • ,
    • (
      0
      ,
      23

      6
      )
    • ,
    • (
      1
      ,
      14

      3
      )
    • ,
    • (
      4
      ,
      15

      2
      )
Question 8
8.
Which of the points (3,8), (-9,4), (-6,-4) and (5,-2) belong to the third quadrant?
  • (i)
    (
    (
    9
    )
    ,
    4
    )
  • (ii)
    (
    (
    6
    )
    ,
    (
    4
    )
    )
  • (iii)
    (
    5
    ,
    (
    2
    )
    )
  • (iv)
    (
    3
    ,
    8
    )
Question 9
9.
    • The coordinates of the origin are
  • (i)
    (
    0
    ,
    4
    )
  • (ii)
    (
    1
    ,
    1
    )
  • (iii)
    (
    6
    ,
    0
    )
  • (iv)
    (
    0
    ,
    0
    )
  • (v)
    (
    1
    ,
    0
    )
Question 10
10.
Which of the points (1,3), (-1,9), (-9,-1) and (2,-1) belong to the first quadrant?
  • (i)
    (
    (
    1
    )
    ,
    9
    )
  • (ii)
    (
    1
    ,
    3
    )
  • (iii)
    (
    2
    ,
    (
    1
    )
    )
  • (iv)
    (
    (
    9
    )
    ,
    (
    1
    )
    )
Question 11
11.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      8
      )
  • (i)
      • line with point
      • O
  • (ii)
      • line with point
      • Q
  • (iii)
      • line with point
      • N
  • (iv)
      • line with point
      • P
  • (v)
      • line with point
      • M
Question 12
12.
    • The point
    • (
      1
      ,
      (
      1
      )
      )
    • lies in
  • (i)
    first quadrant
  • (ii)
    fourth quadrant
  • (iii)
    third quadrant
  • (iv)
    second quadrant
Question 13
13.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      x
      +
      1
      )
  • (i)
      • line with point
      • S
  • (ii)
      • line with point
      • O
  • (iii)
      • line with point
      • P
  • (iv)
      • line with point
      • Q
  • (v)
      • line with point
      • R
Question 14
14.
Determine the coordinates of point H in the diagram.
  • (i)
    (
    1
    ,
    7
    )
  • (ii)
    (
    (
    1
    )
    ,
    7
    )
  • (iii)
    (
    (
    7
    )
    ,
    1
    )
  • (iv)
    (
    1
    ,
    (
    7
    )
    )
  • (v)
    (
    (
    1
    )
    ,
    (
    7
    )
    )
Question 15
15.
The coordinates of a point which is 6 units away from x-axis and 6 units away from y-axis in the second quadrant is
  • (i)
    (
    6
    ,
    (
    6
    )
    )
  • (ii)
    (
    (
    6
    )
    ,
    (
    6
    )
    )
  • (iii)
    (
    6
    ,
    6
    )
  • (iv)
    (
    (
    6
    )
    ,
    6
    )
Question 16
16.
Which of the following is a point on the negative x-axis?
  • (i)
    (
    0
    ,
    1
    )
  • (ii)
    (
    2
    ,
    0
    )
  • (iii)
    (
    0
    ,
    (
    9
    )
    )
  • (iv)
    (
    (
    6
    )
    ,
    0
    )
  • (v)
    (
    (
    3
    )
    ,
    7
    )
Question 17
17.
Determine the coordinates of point I in the diagram.
  • (i)
    (
    8
    ,
    7
    )
  • (ii)
    (
    (
    8
    )
    ,
    7
    )
  • (iii)
    (
    8
    ,
    (
    7
    )
    )
  • (iv)
    (
    (
    7
    )
    ,
    (
    8
    )
    )
  • (v)
    (
    (
    8
    )
    ,
    (
    7
    )
    )
Question 18
18.
    • The point
    • (
      (
      3
      )
      ,
      (
      9
      )
      )
    • lies in
  • (i)
    first quadrant
  • (ii)
    second quadrant
  • (iii)
    third quadrant
  • (iv)
    fourth quadrant
Question 19
19.
Identify the point belonging to the fourth quadrant
  • (i)
    (
    (
    7
    )
    ,
    (
    9
    )
    )
  • (ii)
    (
    5
    ,
    (
    9
    )
    )
  • (iii)
    (
    (
    5
    )
    ,
    2
    )
  • (iv)
    (
    4
    ,
    2
    )
Question 20
20.
A point lies on positive side of y-axis at a distance of 4 units from x-axis. What are the coordinates of the point?
  • (i)
    (
    (
    4
    )
    ,
    0
    )
  • (ii)
    (
    0
    ,
    (
    4
    )
    )
  • (iii)
    (
    4
    ,
    0
    )
  • (iv)
    (
    0
    ,
    4
    )
Question 21
21.
Determine the quadrant of the displayed point
  • (i)
    fourth quadrant
  • (ii)
    second quadrant
  • (iii)
    first quadrant
  • (iv)
    third quadrant
Question 22
22.
A point lies on negative side of y-axis at a distance of 7 units from x-axis. What are the coordinates of the point?
  • (i)
    (
    0
    ,
    (
    7
    )
    )
  • (ii)
    (
    7
    ,
    0
    )
  • (iii)
    (
    (
    7
    )
    ,
    0
    )
  • (iv)
    (
    0
    ,
    7
    )
Question 23
23.
    • Find the set of points satisfying the equation
    • x
      =
      0
  • (i)
    • (
      0
      ,
      (
      2
      )
      )
    • ,
    • (
      0
      ,
      (
      1
      )
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      0
      ,
      1
      )
    • ,
    • (
      0
      ,
      2
      )
  • (ii)
    • (
      0
      ,
      (
      2
      )
      )
    • ,
    • (
      0
      ,
      (
      1
      )
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      0
      ,
      1
      )
    • ,
    • (
      0
      ,
      2
      )
  • (iii)
    • (
      0
      ,
      (
      2
      )
      )
    • ,
    • (
      0
      ,
      (
      1
      )
      )
    • ,
    • (
      1
      ,
      (
      1
      )
      )
    • ,
    • (
      0
      ,
      1
      )
    • ,
    • (
      0
      ,
      2
      )
  • (iv)
    • (
      0
      ,
      (
      2
      )
      )
    • ,
    • (
      0
      ,
      (
      1
      )
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      (
      1
      )
      ,
      2
      )
    • ,
    • (
      0
      ,
      2
      )
  • (v)
    • (
      0
      ,
      (
      2
      )
      )
    • ,
    • (
      0
      ,
      (
      1
      )
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      0
      ,
      1
      )
    • ,
    • (
      2
      ,
      4
      )
Question 24
24.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        5

        2
        )
      • ,
      • (
        (
        1
        )
        ,
        3

        2
        )
      • ,
      • (
        0
        ,
        1

        2
        )
      • ,
      • (
        1
        ,
        (
        1

        2
        )
        )
      • ,
      • (
        2
        ,
        (
        3

        2
        )
        )
    • ?
  • (i)
    (
    2
    x
    +
    2
    y
    1
    )
    =
    0
  • (ii)
    x
    =
    (
    16

    9
    y
    +
    23

    3
    )
  • (iii)
    x
    =
    (
    3
    )
  • (iv)
    y
    =
    (
    16

    9
    x
    34

    3
    )
  • (v)
    y
    =
    (
    6
    )
Question 25
25.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      9

      2
      x
      )
  • (i)
      • line with point
      • N
  • (ii)
      • line with point
      • Q
  • (iii)
      • line with point
      • M
  • (iv)
      • line with point
      • P
  • (v)
      • line with point
      • O
    Assignment Key

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