EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Graphs
Grade : ICSE Grade VII
License : Non Commercial Use
Question 1
1.
    • The point
    • (
      9
      ,
      (
      5
      )
      )
    • lies in
  • (i)
    second quadrant
  • (ii)
    first quadrant
  • (iii)
    fourth quadrant
  • (iv)
    third quadrant
Question 2
2.
Determine the quadrant of the displayed point
  • (i)
    first quadrant
  • (ii)
    third quadrant
  • (iii)
    second quadrant
  • (iv)
    fourth quadrant
Question 3
3.
Determine the coordinates of point Q in the diagram.
  • (i)
    (
    (
    7
    )
    ,
    7
    )
  • (ii)
    (
    (
    7
    )
    ,
    (
    7
    )
    )
  • (iii)
    (
    7
    ,
    7
    )
  • (iv)
    (
    7
    ,
    (
    7
    )
    )
Question 4
4.
Which of the points (9,4), (-6,9), (-9,-9) and (1,-5) belong to the third quadrant?
  • (i)
    (
    9
    ,
    4
    )
  • (ii)
    (
    (
    6
    )
    ,
    9
    )
  • (iii)
    (
    (
    9
    )
    ,
    (
    9
    )
    )
  • (iv)
    (
    1
    ,
    (
    5
    )
    )
Question 5
5.
Determine the coordinates of point L in the diagram.
  • (i)
    (
    (
    1
    )
    ,
    (
    3
    )
    )
  • (ii)
    (
    1
    ,
    (
    3
    )
    )
  • (iii)
    (
    (
    1
    )
    ,
    3
    )
  • (iv)
    (
    (
    3
    )
    ,
    1
    )
  • (v)
    (
    1
    ,
    3
    )
Question 6
6.
If point P(x,y) lies in the third 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 7
7.
    • Find the set of points satisfying the equation
    • y
      =
      3
      x
  • (i)
    • (
      (
      2
      )
      ,
      (
      6
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      3
      )
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      3
      )
    • ,
    • (
      2
      ,
      6
      )
  • (ii)
    • (
      (
      2
      )
      ,
      (
      6
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      3
      )
      )
    • ,
    • (
      1
      ,
      (
      1
      )
      )
    • ,
    • (
      1
      ,
      3
      )
    • ,
    • (
      2
      ,
      6
      )
  • (iii)
    • (
      (
      2
      )
      ,
      (
      6
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      3
      )
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      3
      )
    • ,
    • (
      2
      ,
      6
      )
  • (iv)
    • (
      (
      2
      )
      ,
      (
      6
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      3
      )
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      0
      ,
      4
      )
    • ,
    • (
      2
      ,
      6
      )
  • (v)
    • (
      (
      2
      )
      ,
      (
      6
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      3
      )
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      3
      )
    • ,
    • (
      4
      ,
      8
      )
Question 8
8.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        17

        14
        )
      • ,
      • (
        (
        1
        )
        ,
        4

        7
        )
      • ,
      • (
        0
        ,
        (
        1

        14
        )
        )
      • ,
      • (
        1
        ,
        (
        5

        7
        )
        )
      • ,
      • (
        2
        ,
        (
        19

        14
        )
        )
    • ?
  • (i)
    x
    =
    (
    9

    14
    y
    +
    30

    7
    )
  • (ii)
    (
    2
    x
    +
    2
    y
    1
    )
    =
    0
  • (iii)
    y
    =
    (
    9

    14
    x
    1

    14
    )
  • (iv)
    y
    =
    (
    2
    )
  • (v)
    (
    9
    x
    14
    y
    +
    17
    )
    =
    0
Question 9
9.
Determine the quadrant of the displayed point
  • (i)
    second quadrant
  • (ii)
    fourth quadrant
  • (iii)
    first quadrant
  • (iv)
    third quadrant
Question 10
10.
Identify the point belonging to the fourth quadrant
  • (i)
    (
    (
    5
    )
    ,
    (
    6
    )
    )
  • (ii)
    (
    (
    8
    )
    ,
    6
    )
  • (iii)
    (
    5
    ,
    (
    6
    )
    )
  • (iv)
    (
    5
    ,
    3
    )
Question 11
11.
The coordinates of a point which is 1 unit away from x-axis and 5 units away from y-axis in the first quadrant is
  • (i)
    (
    1
    ,
    5
    )
  • (ii)
    (
    (
    5
    )
    ,
    1
    )
  • (iii)
    (
    5
    ,
    (
    1
    )
    )
  • (iv)
    (
    (
    5
    )
    ,
    (
    1
    )
    )
  • (v)
    (
    5
    ,
    1
    )
Question 12
12.
    • The point of intersection of x-axis and y-axis
  • (i)
    (
    1
    ,
    1
    )
  • (ii)
    (
    0
    ,
    0
    )
  • (iii)
    (
    4
    ,
    0
    )
  • (iv)
    (
    1
    ,
    0
    )
  • (v)
    (
    0
    ,
    7
    )
Question 13
13.
Which of the following is a point on the negative x-axis?
  • (i)
    (
    (
    2
    )
    ,
    0
    )
  • (ii)
    (
    4
    ,
    0
    )
  • (iii)
    (
    (
    2
    )
    ,
    6
    )
  • (iv)
    (
    0
    ,
    8
    )
  • (v)
    (
    0
    ,
    (
    4
    )
    )
Question 14
14.
Which of the following is a point on the negative y-axis?
  • (i)
    (
    0
    ,
    1
    )
  • (ii)
    (
    (
    8
    )
    ,
    7
    )
  • (iii)
    (
    (
    8
    )
    ,
    0
    )
  • (iv)
    (
    3
    ,
    0
    )
  • (v)
    (
    0
    ,
    (
    2
    )
    )
Question 15
15.
Which of the points (1,3), (-9,4), (-6,-1) and (8,-7) belong to the second quadrant?
  • (i)
    (
    8
    ,
    (
    7
    )
    )
  • (ii)
    (
    (
    9
    )
    ,
    4
    )
  • (iii)
    (
    (
    6
    )
    ,
    (
    1
    )
    )
  • (iv)
    (
    1
    ,
    3
    )
Question 16
16.
The coordinates of a point which is 5 units away from x-axis and 4 units away from y-axis in the fourth quadrant is
  • (i)
    (
    (
    4
    )
    ,
    5
    )
  • (ii)
    (
    (
    4
    )
    ,
    (
    5
    )
    )
  • (iii)
    (
    (
    5
    )
    ,
    4
    )
  • (iv)
    (
    4
    ,
    5
    )
  • (v)
    (
    4
    ,
    (
    5
    )
    )
Question 17
17.
Which of the following is a point on the x-axis?
  • (i)
    (
    0
    ,
    4
    )
  • (ii)
    (
    2
    ,
    (
    1
    )
    )
  • (iii)
    (
    8
    ,
    0
    )
  • (iv)
    (
    4
    ,
    3
    )
  • (v)
    (
    (
    2
    )
    ,
    1
    )
Question 18
18.
Which of the following are true?
a)
A vertical line other than y-axis has no x-intercept
b)
A horizontal line other than x-axis has no y-intercept
c)
A horizontal line other than x-axis has no x-intercept
d)
A vertical line other than y-axis has no y-intercept
  • (i)
    {b,d}
  • (ii)
    {a,d,c}
  • (iii)
    {c,d}
  • (iv)
    {a,b,c}
  • (v)
    {a,c}
Question 19
19.
Determine the quadrant of the displayed point
  • (i)
    first quadrant
  • (ii)
    fourth quadrant
  • (iii)
    third quadrant
  • (iv)
    second quadrant
Question 20
20.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        1
        )
      • ,
      • (
        (
        1
        )
        ,
        1
        )
      • ,
      • (
        0
        ,
        1
        )
      • ,
      • (
        1
        ,
        1
        )
      • ,
      • (
        2
        ,
        1
        )
    • ?
  • (i)
    y
    =
    (
    10

    17
    x
    33

    17
    )
  • (ii)
    x
    =
    (
    5
    )
  • (iii)
    (
    10
    x
    17
    y
    +
    5
    )
    =
    0
  • (iv)
    x
    =
    (
    10

    17
    y
    95

    17
    )
  • (v)
    y
    =
    1
Question 21
21.
Identify the point belonging to the first quadrant
  • (i)
    (
    (
    5
    )
    ,
    (
    7
    )
    )
  • (ii)
    (
    7
    ,
    (
    1
    )
    )
  • (iii)
    (
    (
    6
    )
    ,
    6
    )
  • (iv)
    (
    3
    ,
    3
    )
Question 22
22.
Determine the coordinates of point K in the diagram.
  • (i)
    (
    5
    ,
    (
    5
    )
    )
  • (ii)
    (
    (
    5
    )
    ,
    (
    5
    )
    )
  • (iii)
    (
    (
    5
    )
    ,
    5
    )
  • (iv)
    (
    5
    ,
    5
    )
Question 23
23.
The coordinates of a point which is 8 units away from x-axis and 6 units away from y-axis in the third quadrant is
  • (i)
    (
    6
    ,
    (
    8
    )
    )
  • (ii)
    (
    (
    6
    )
    ,
    8
    )
  • (iii)
    (
    6
    ,
    8
    )
  • (iv)
    (
    (
    6
    )
    ,
    (
    8
    )
    )
  • (v)
    (
    (
    8
    )
    ,
    (
    6
    )
    )
Question 24
24.
Distance of the point (6,2) from x-axis is
  • (i)
    8
  • (ii)
    2
  • (iii)
    (
    4
    )
  • (iv)
    4
  • (v)
    6
Question 25
25.
    • Find the set of points satisfying the equation
    • x
      =
      (
      1
      )
  • (i)
    • (
      (
      1
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      1
      )
      )
    • ,
    • (
      0
      ,
      (
      1
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      1
      )
    • ,
    • (
      (
      1
      )
      ,
      2
      )
  • (ii)
    • (
      (
      1
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      1
      )
      )
    • ,
    • (
      (
      3
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      1
      )
    • ,
    • (
      (
      1
      )
      ,
      2
      )
  • (iii)
    • (
      (
      1
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      1
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      0
      )
    • ,
    • (
      (
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      1
      )
      ,
      2
      )
  • (iv)
    • (
      (
      1
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      1
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      0
      )
    • ,
    • (
      (
      1
      )
      ,
      1
      )
    • ,
    • (
      (
      1
      )
      ,
      2
      )
  • (v)
    • (
      (
      1
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      1
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      0
      )
    • ,
    • (
      (
      1
      )
      ,
      1
      )
    • ,
    • (
      1
      ,
      4
      )
    Assignment Key

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