EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Graphs
Grade : ICSE Grade VII
License : Non Commercial Use
Question 1
1.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        (
        10
        )
        )
      • ,
      • (
        (
        1
        )
        ,
        (
        21

        2
        )
        )
      • ,
      • (
        0
        ,
        (
        11
        )
        )
      • ,
      • (
        1
        ,
        (
        23

        2
        )
        )
      • ,
      • (
        2
        ,
        (
        12
        )
        )
    • ?
  • (i)
    (
    6
    x
    12
    y
    +
    18
    )
    =
    0
  • (ii)
    (
    12
    x
    +
    35
    y
    10
    )
    =
    0
  • (iii)
    y
    =
    (
    1

    2
    x
    11
    )
  • (iv)
    x
    =
    (
    1

    2
    y
    9

    2
    )
  • (v)
    y
    =
    (
    7
    )
Question 2
2.
Identify the point belonging to the fourth quadrant
  • (i)
    (
    (
    5
    )
    ,
    (
    2
    )
    )
  • (ii)
    (
    (
    4
    )
    ,
    8
    )
  • (iii)
    (
    2
    ,
    9
    )
  • (iv)
    (
    1
    ,
    (
    4
    )
    )
Question 3
3.
Which of the points (5,6), (-6,7), (-3,-1) and (9,-7) belong to the first quadrant?
  • (i)
    (
    (
    6
    )
    ,
    7
    )
  • (ii)
    (
    5
    ,
    6
    )
  • (iii)
    (
    (
    3
    )
    ,
    (
    1
    )
    )
  • (iv)
    (
    9
    ,
    (
    7
    )
    )
Question 4
4.
A point lies on positive side of y-axis at a distance of 3 units from x-axis. What are the coordinates of the point?
  • (i)
    (
    (
    3
    )
    ,
    0
    )
  • (ii)
    (
    0
    ,
    (
    3
    )
    )
  • (iii)
    (
    3
    ,
    0
    )
  • (iv)
    (
    0
    ,
    3
    )
Question 5
5.
    • The point
    • (
      (
      1
      )
      ,
      6
      )
    • lies in
  • (i)
    fourth quadrant
  • (ii)
    second quadrant
  • (iii)
    third quadrant
  • (iv)
    first quadrant
Question 6
6.
Identify the point belonging to the third quadrant
  • (i)
    (
    (
    7
    )
    ,
    2
    )
  • (ii)
    (
    8
    ,
    6
    )
  • (iii)
    (
    1
    ,
    (
    4
    )
    )
  • (iv)
    (
    (
    8
    )
    ,
    (
    8
    )
    )
Question 7
7.
Which of the following are true?
a)
The ordinate of every point on y-axis is zero
b)
The abscissa of every point on x-axis is zero
c)
The ordinate of every point on x-axis is zero
d)
The abscissa of every point on y-axis is zero
  • (i)
    {a,c}
  • (ii)
    {b,d}
  • (iii)
    {a,d,c}
  • (iv)
    {a,b,c}
  • (v)
    {c,d}
Question 8
8.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      2

      5
      x
      )
  • (i)
      • line with point
      • O
  • (ii)
      • line with point
      • Q
  • (iii)
      • line with point
      • R
  • (iv)
      • line with point
      • N
  • (v)
      • line with point
      • P
Question 9
9.
A point lies on negative side of y-axis at a distance of 2 units from x-axis. What are the coordinates of the point?
  • (i)
    (
    (
    2
    )
    ,
    0
    )
  • (ii)
    (
    0
    ,
    (
    2
    )
    )
  • (iii)
    (
    2
    ,
    0
    )
  • (iv)
    (
    0
    ,
    2
    )
Question 10
10.
    • Find the set of points satisfying the equation
    • (
      15
      x
      9
      y
      +
      57
      )
      =
      0
  • (i)
    • (
      (
      2
      )
      ,
      29

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      8
      )
    • ,
    • (
      0
      ,
      19

      3
      )
    • ,
    • (
      1
      ,
      14

      3
      )
    • ,
    • (
      4
      ,
      5
      )
  • (ii)
    • (
      (
      2
      )
      ,
      29

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      8
      )
    • ,
    • (
      (
      2
      )
      ,
      13

      3
      )
    • ,
    • (
      1
      ,
      14

      3
      )
    • ,
    • (
      2
      ,
      3
      )
  • (iii)
    • (
      (
      2
      )
      ,
      29

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      8
      )
    • ,
    • (
      1
      ,
      16

      3
      )
    • ,
    • (
      1
      ,
      14

      3
      )
    • ,
    • (
      2
      ,
      3
      )
  • (iv)
    • (
      (
      2
      )
      ,
      29

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      8
      )
    • ,
    • (
      0
      ,
      19

      3
      )
    • ,
    • (
      0
      ,
      17

      3
      )
    • ,
    • (
      2
      ,
      3
      )
  • (v)
    • (
      (
      2
      )
      ,
      29

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      8
      )
    • ,
    • (
      0
      ,
      19

      3
      )
    • ,
    • (
      1
      ,
      14

      3
      )
    • ,
    • (
      2
      ,
      3
      )
Question 11
11.
    • Find the set of points satisfying the equation
    • y
      =
      (
      4

      3
      x
      )
  • (i)
    • (
      (
      2
      )
      ,
      8

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      4

      3
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      4

      3
      )
      )
    • ,
    • (
      2
      ,
      (
      8

      3
      )
      )
  • (ii)
    • (
      (
      2
      )
      ,
      8

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      4

      3
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      0
      ,
      (
      1

      3
      )
      )
    • ,
    • (
      2
      ,
      (
      8

      3
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      8

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      4

      3
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      4

      3
      )
      )
    • ,
    • (
      4
      ,
      (
      2

      3
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      8

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      4

      3
      )
    • ,
    • (
      1
      ,
      (
      1
      )
      )
    • ,
    • (
      1
      ,
      (
      4

      3
      )
      )
    • ,
    • (
      2
      ,
      (
      8

      3
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      8

      3
      )
    • ,
    • (
      (
      1
      )
      ,
      4

      3
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      4

      3
      )
      )
    • ,
    • (
      2
      ,
      (
      8

      3
      )
      )
Question 12
12.
Distance of the point (4,4) from y-axis is
  • (i)
    8
  • (ii)
    4
  • (iii)
    0
Question 13
13.
    • The point of intersection of x-axis and y-axis
  • (i)
    (
    5
    ,
    0
    )
  • (ii)
    (
    0
    ,
    0
    )
  • (iii)
    (
    1
    ,
    0
    )
  • (iv)
    (
    0
    ,
    6
    )
  • (v)
    (
    1
    ,
    1
    )
Question 14
14.
The coordinates of a point which is 2 units away from x-axis and 4 units away from y-axis in the third quadrant is
  • (i)
    (
    4
    ,
    (
    2
    )
    )
  • (ii)
    (
    (
    2
    )
    ,
    (
    4
    )
    )
  • (iii)
    (
    (
    4
    )
    ,
    2
    )
  • (iv)
    (
    (
    4
    )
    ,
    (
    2
    )
    )
  • (v)
    (
    4
    ,
    2
    )
Question 15
15.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        (
        3
        )
        )
      • ,
      • (
        (
        1
        )
        ,
        (
        3
        )
        )
      • ,
      • (
        0
        ,
        (
        3
        )
        )
      • ,
      • (
        1
        ,
        (
        3
        )
        )
      • ,
      • (
        2
        ,
        (
        3
        )
        )
    • ?
  • (i)
    (
    5
    x
    +
    6
    y
    2
    )
    =
    0
  • (ii)
    (
    11
    x
    10
    y
    +
    38
    )
    =
    0
  • (iii)
    y
    =
    (
    11

    10
    x
    63

    10
    )
  • (iv)
    x
    =
    (
    11

    10
    y
    +
    3

    10
    )
  • (v)
    y
    =
    (
    3
    )
Question 16
16.
A point lies on positive side of x-axis at a distance of 1 units from y-axis. What are the coordinates of the point?
  • (i)
    (
    0
    ,
    1
    )
  • (ii)
    (
    (
    1
    )
    ,
    0
    )
  • (iii)
    (
    0
    ,
    (
    1
    )
    )
  • (iv)
    (
    1
    ,
    0
    )
Question 17
17.
    • The point
    • (
      1
      ,
      8
      )
    • lies in
  • (i)
    fourth quadrant
  • (ii)
    second quadrant
  • (iii)
    first quadrant
  • (iv)
    third quadrant
Question 18
18.
If point P(x,y) lies in the first quadrant, then
  • (i)
    x is negative and y is positive
  • (ii)
    x is negative and y is negative
  • (iii)
    x is positive and y is positive
  • (iv)
    x is positive and y is negative
Question 19
19.
    • The coordinates of the origin are
  • (i)
    (
    1
    ,
    0
    )
  • (ii)
    (
    1
    ,
    1
    )
  • (iii)
    (
    0
    ,
    3
    )
  • (iv)
    (
    0
    ,
    0
    )
Question 20
20.
If point P(x,y) lies in the fourth quadrant, then
  • (i)
    x is negative and y is positive
  • (ii)
    x is positive and y is negative
  • (iii)
    x is positive and y is positive
  • (iv)
    x is negative and y is negative
Question 21
21.
If point P(x,y) lies in the second quadrant, then
  • (i)
    x is positive and y is negative
  • (ii)
    x is positive and y is positive
  • (iii)
    x is negative and y is negative
  • (iv)
    x is negative and y is positive
Question 22
22.
Which of the following is a point on the x-axis?
  • (i)
    (
    7
    ,
    5
    )
  • (ii)
    (
    0
    ,
    4
    )
  • (iii)
    (
    6
    ,
    0
    )
  • (iv)
    (
    (
    9
    )
    ,
    2
    )
  • (v)
    (
    4
    ,
    (
    6
    )
    )
Question 23
23.
Distance of the given point from x-axis is
  • (i)
    24
  • (ii)
    8
  • (iii)
    11
  • (iv)
    -5
  • (v)
    3
Question 24
24.
Determine the quadrant of the displayed point
  • (i)
    first quadrant
  • (ii)
    third quadrant
  • (iii)
    fourth quadrant
  • (iv)
    second quadrant
Question 25
25.
Which of the following is a point on the positive y-axis?
  • (i)
    (
    (
    2
    )
    ,
    0
    )
  • (ii)
    (
    0
    ,
    4
    )
  • (iii)
    (
    4
    ,
    0
    )
  • (iv)
    (
    (
    1
    )
    ,
    7
    )
  • (v)
    (
    0
    ,
    (
    9
    )
    )
    Assignment Key

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