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Class: IX Subject: Mathlab Classic Name:

Paper Name: Classixmathsub3 Paper Duration: 160 Mins. Roll No:
Marks Obtained:
Maximum Marks: 220 Total Questions: 85

Section - A

Q1. Find the point which lies on the y-axis at a distance of 5 units in the negative
(Marks : 1)
direction of y-axis.
Q2. (i) Write the coordinates of a point which lies on the positive x -axis and which is
at a distance of 6 units from the origin.
(Marks : 1)
(ii) Write the coordinates of a point which lies on positive y -axis and is at a
distance of 5 units from the origin.
Q3. Write the answer of the ffollowing questions:
1. What is the name of the horizontal and the vertical lines drawn to determine the (Marks : 1)
position of any point in the cartesian plane?
2. What is the name of the each part of the plane formed by these two lines?
Q4. Identify the points which lie on x-axis.
(Marks : 2)
(i) (1, 1) (ii) (0, 0) (iii) (-5, 0) (iv) (0, -7)
Q5. Observe the position of the students in a class room given below and then answer
the questions that follows:

(Marks : 2)

(i) What is the position of student G?

(ii) The student whose position is (4, 2).
(iii) How many student/s sitting in the 5th column?
(iv) Which student is sitting in 2nd row and 3rd column?
Q6. Write the coordinates of the following points: (Marks : 2)
(i) A
(ii) B
(iii) C
(iv) D

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Q7. Identify the points which lie on y-axis.

(Marks : 2)
(i) (0, 8) (ii) (0, 0) (iii) (4, 7) (iv) (-7, 0)
Q8. Write down the co-ordinates of each of points P, Q, R, and T as shown in the
following figure:

(Marks : 2)

Q9. (Marks : 2)

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Write down the coordinates of vertices of the triangle ABC. Which of the points
does not lie on the axes?
Q10. Write the coordinates of the following points:
(i) A
(ii) B
(iii) C
(iv) D

(Marks : 2)

Q11. Study the following graph and answer the given questions: (Marks : 2)

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(a) Find the ordinate of point B.

(b) Find the abscissa of point A.
(c) Find the coordinate of point C.
(d) Find the quadrant of point D.
Q12. Observe the position of the students in a class room given below and then answer (Marks : 2)
the questions that follows:

(i) What is the position of student A?

(ii) The student whose position is (5,4).

(iii) How many student/s sitting in the 3rd column?

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(iv) Which student is sitting in 3rd row and 7th column?

Q13. Identify the points which lie on y-axis.
(i) (0, 6)
(ii) (0, 0) (Marks : 2)
(iii) (5, 2)
(iv) (-3, 0)
Q14. Identify the points which lie on x-axis.
(i) (3, 2)
(ii) (0, 0) (Marks : 2)
(iii) (6, 0)
(iv) (0, -8)
Q15. Write whether the following statements are True or False? Justify your answer.
(1) Point (2, 0) lies in the first quadrant. (Marks : 2)
(2) (-1, 7) is a point in the second quadrant.
Q16. In which quadrant or on which axis do the following points lie:
(a) (-1, -1)
(b) (0, -3) (Marks : 2)
(c) (2, -5)
(d) (-4, 2)
Q17.
In the Harappa civilization, roads were crossing each other at 90o. How could the
buildings be located with the reference of the roads? What could be the point of (Marks : 2)
reference?
Q18. Write down the co-ordinates of each of points P, Q, R and S as shown in the
following figure:

(Marks : 2)

Q19. In which quadrant do the following points lie:

(i) (-3, 2)
(ii) (2, -1) (Marks : 2)
(iii) (-3, -3)
(iv) (1, 4)
Q20. Given below is the distance time graph. Write down the coordinates of the points (Marks : 2)
A, B, C and D.

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Q21. See the figure given below and answer the questions that follows:
(i) The coordinates of the point U are____
(ii) The point identified by the coordinates (-2,4) is ___
(iii)The coordinates of the point S are ___________
(iv)The points lying in the III quadrant is/are________

(Marks : 2)

Q22. What are the relative locations of the following: (Marks : 2)

(a) 3rd quadrant with respect to the 2nd quadrant.
(b) 1st quadrant with respect to the 4th quadrant.

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(c) 3rd quadrant with respect to the 4th quadrant.

(d) 2nd quadrant with respect to the 1st quadrant.
Q23. Name the quadrant in which the following points lie:
(i) (70, 2)
(ii) (-4, 3) (Marks : 2)
(iii) (3, -6)
(iv) (-4, -4)
Q24. Name the quadrant in which the following points lie:
(Marks : 2)
(i) (700, 3) (ii) (-3, 5) (iii) (5, -4) (iv) (-4, -400)
Q25. Find the coordinates of the following points:

(Marks : 2)

Q26. Find the coordinates of the following points: (Marks : 2)

(i) Vertex of ABC
(ii) Lower end point of line segment BC

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Q27. Plot the following points on the graph paper:

(i) (0, -4)
(ii) (-2, 3) (Marks : 2)
(iii) (-1, -1)
(iv) (5, 0)
Q28. Write down the scale which must be taken to plot the following points on the
graph paper: (Marks : 2)
(i) (3, 4) (ii) (300, 800) (iii) (70, 90) (iv) 16000, 22000)
Q29. Plot the following points on a graph paper:
(a) (5, 0)
(b) (-3, -2) (Marks : 2)
(c) (1, -4)
(d) (-2, 2)
Q30.
Plot a portion in the graph which is at a position of 4th column and 7th row.

(Marks : 2)

Q31. Plot the points given in the following table on the cartesian plane: (Marks : 2)

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Q32. Plot the following points by taking the suitable scale:

Time(in sec) 2 4 6 8 (Marks : 2)

Velocity (m/s) 10 10 10 10
Q33. The movement of an particle is given in the following table:

Time (minute) 2 4 6 8
(Marks : 2)
Distance (cm) 5 9 13 18
Plot the above points on the Cartesian plane taking time on the x-axis and the
distance covered on the y-axis.
Q34. Plot the following points on the graph paper:
(i) (0, -4)
(ii) (-2, 3) (Marks : 2)
(iii) (-1, -1)
(iv) (5, 0)
Q35. Plot the following points on the Cartesian plane:
(i) (-2, 2.5)
(ii) (0, -1.4) (Marks : 2)
(iii) (-0.8, -3)
(iv) (0, 0)
Q36. Locate the following points on a graph paper:
(a) (0, 0)
(b) (-2, 4) (Marks : 2)
(c) (3, 0)
(d) (2, -2)
Q37. A car travels 4 km in west direction and then 3 km in north direction. Taking its
starting point as the origin and east direction as positive x-axis, locate its position (Marks : 2)
on the graph.
Q38. The coordinates of a point A are (3, 5). If the abscissa of point A is increased by 2,
(Marks : 2)
then find the coordinates of the new point. Also, plot the new point.
Q39. Plot the following points on the rectangular co-ordinate system.
(Marks : 2)
(-5, 2), (-4, -2), (6, -2), (2, 5) on the co-ordinate system
Q40. An ant travels 5 cm in west direction and then 3 cm in north direction. Taking its
starting point as the origin and east direction as positive x-axis, locate its position (Marks : 2)
on the graph.
Q41. Plot the following points on the rectangular co-ordinate system.
(i) (-5, 2), (-4, -2), (6, 2), (2, 5) on the co-ordinate system (Marks : 2)

Q42. (Marks : 2)
Show the position of a portion in the graph which is plotted at 12th column and 2nd
row.

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Q43. Locate the points (3, 0), (-3, 0), (5, -6) and (-8, -1) in the Cartesian plane. (Marks : 2)
Q44. The movement of an particle is given in the following table:

(Marks : 2)

Plot the above points on the Cartesian plane taking time on the x-axis and the
distance covered on the y-axis.
Q45. Locate the following points on a graph paper:
(a) (0, 0)
(b) (-4, 4) (Marks : 2)
(c) (3, 0)
(d) (4, -2)
Q46. Answer the following questions:
1. For what values of x and y is the point (x, y) situated in quadrant I?
2. For what values of x and y is the point (x, y) situated in quadrant II?
3. For what values of x and y is the point (x, y) situated in quadrant III? (Marks : 3)
4. For what values of x and y is the point (x, y) situated in quadrant IV?
5. For what values of x and y is the point (x, y) lie on the x axis?
6. For what values of x and y is the point (x, y) lie on the y axis?
Q47. Find the co-ordinates of the vertices of an equilateral triangle of side 2a as shown
in figure.

(Marks : 3)

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Q48. In the given figure, LM is a line parallel to y-axis at a distance of 3 units.

(Marks : 3)

(1) What are the coordinates of the points P, R and Q?

(2) What is the difference between the abscissa of the points L and M?
Q49. How will you describe the position of a table lamp on study table to another
(Marks : 3)
person?
Q50. Plot the following points (3, 4), (6, 0), (3, -4) and origin. Name the
(Marks : 3)
geometrical figure so obtained
Q51. (i)Write the coordinates of two points which lie on the opposite sides of the x-
axis.
(ii)Write the coordinates of two points which lie on the opposite sides of the y- (Marks : 3)
axis.
(iii)Name the point which lies on both the axes.
Q52. (i) Write the coordinates of a point which lies on the positive x -axis and which is
at a distance of k units from the origin.
(ii) Write the coordinates of a point which lies on positive y -axis and is at a (Marks : 3)
distance of units from the origin.
(iii) In which quadrant are both the abscissa and the ordinate of a point negative?
Q53. Write the quadrants in which the following points lie:
(i) (-1, 2.1)
(ii) (3.5, 1)
(iii) (2, -1.5)
(iv) (-100, -100)
(v) (-30,5) (Marks : 3)
(vi) (5,2)

Q54. How will you state the position of

(i) A person standing in a large rectangular hall. (Marks : 3)
(ii) A painting hanging on the wall.
(iii) A book in the library.
Q55. Plot the points (-2, 0), (2, 0), (2, 2), (0, 3) and (-2, 2) and join them in order. In
which quadrant do the points (2, 2) and (-2, 2) lie and name the type of figure (Marks : 3)
obtained?
Q56. The velocity of a car at different time intervals is given in the following table: (Marks : 3)
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Time (minutes) 2 4 6 8 10
Velocity (km/h) 30 40 40 20 10
Taking the time on the x-axis and the velocity on the y-axis, plot the points on the
graph and join them.
Q57. Plot the points P(1, 0), Q(4, 0) and S(1, 3). Find the coordinates of the point R (Marks : 3)
such that PQRS is a square.
Q58. One vertex of a rectangle lies at the origin and its opposite vertex is (3, 2). Draw (Marks : 3)
the rectangle on the graph paper and write the other two vertices.
Q59. A car starts from a point A and moves 6 units to another point B. Then it turns to
its right and moves 3 units. If A is the origin and AB the positive x-axis, then find (Marks : 3)
and plot the coordinates of its location.
Q60. Points A(5, 3), B(-2, 3), D(5, -4) are three vertices of a square ABCD. Plot these (Marks : 3)
points on a graph paper and hence find the coordinates of the vetex C.
Q61. Plot three linear points (0, 2), (-1, -1) and (-2, -4) on a graph paper and check
(Marks : 3)
whether the point (-2, 2) lies on the same line.
Q62. Plot the following points on a graph paper and give the geometrical name of the
figure formed by joining them in order: (Marks : 3)
(2, 0), (2, 2), (0, 2) and (0, 0)
Q63. Plot the following points on a graph paper and check whether they are linear:
(Marks : 3)
(-2, 1), (0, -3), (2, 0)
Q64. Consider a car moving with a constant, rightward (+) velocity of 20 m/s. The
table below shows its position at various points.

Time(sec) Position
0 0m
1 20 m (Marks : 3)
2 40 m
3 60 m
4 80 m

Plot these points by taking suitable scale on the axes.

Q65. Plot the following points on a graph paper and give the geometrical name of the
figure formed by joining them in the sequence: (Marks : 3)
(-2, 0), (3, 0), (3, 2) and (-2, 2)
Q66. A boy throws stone to pluck mangoes. In his first attempt he fails. He plucks 2, 3,
4 and 1 mango in his successive attempts. Plot this result taking number of (Marks : 3)
attempts on the x-axis.
Q67. Plot three linear points (-2, 2), (0, 0) and (1, 1) on a graph paper and check
(Marks : 3)
whether the point (-3, -4) lies on the same line.
Q68. Plot the following points and write the name of the figure obtained by the joining
them in the order: (Marks : 3)
P(-3, 2), Q(-7, -3), R(6, -3), S(2, 2)
Q69. An ant is located at the point A(3, 5) on the Cartesian plane. It moves 2 units
parallel to the x-axis in increasing x-direction. Then it moves 6 units downward. (Marks : 3)
Find and plot the coordinates of its new position.
Q70. The abscissa of a point is 3 more than its ordinate and their sum is 7. Then, find (Marks : 3)
the coordinates of the point. Also, plot the point.
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Q71. Plot the following points on a graph paper and join them in the sequence write the
geometrical name of the figure: (Marks : 3)
(-3, -2), (1, -2), (2, 3) and (-4, 3).
Q72. The weight of a baby at different ages is given in the following table:

Age (months) 0 2 4 6 8 (Marks : 3)

Weight (kg) 2.5 4 6 7 8
Plot this result on a graph paper and join the successive points.
Q73. Plot the following points on a graph paper:
(-2, 3), (0, -4), (2, -1), (4, 0) and (5, 1). Join the points in succession and name the (Marks : 3)
geometrical name of the figure.
Q74. The relation between abscissa and the ordinate of the points is given by the
following equation: y = 2x - 1 (Marks : 4)
Plot four points which satisfy the above equation.
Q75. A plot is in the shape of a hexagon with coordintes as (-4, -2), (-2, -4), (2, -3), (4,
0), (3, 4) and (0, 5). The owner of the plot wants to build park and old age home in
this land.
(Marks : 4)
1. Plot the points (-4, -2), (-2, -4), (2, -3), (4, 0), (3, 4) and (0, 5) on a graph paper
and join the points in successive order.
2. Which values are depicted here? (V) (CBSE sample)
Q76. Plot the following points on a graph paper in successive order and name the figure
so obtained: (Marks : 4)
(-4, -2), (-2, -4), (2, -3), (4, 0), (3, 4) and (0, 5).
Q77. Manoj's house is located at A(5, 0) and his school is located at B(2, 4). The roads
from his house to the school are either horizontal or vertical. His grandfather
accompanies him to school.
(Marks : 4)
1. Plot the points A(5, 0) and B(2, 4) on a graph paper and also find the foot of
perpendicular from B on the x-axis.
2. What values are exhibited by his grandfather? (V) (CBSE sample)
Q78. To raise awareness about girl child, a school decided to start "Save the Girl Child"
campaign. 20 students asked to prepare the banners in the form of a square ABCD
with coordinates A(5, 3), B(-2, 3), C(-2, -4) and D(5, -4).
1. Plot the points A, B , C and D on a graph paper and join the points to get the (Marks : 4)
square ABCD.
2. What qualities do you think is encouraged by such campaign? (V)
(CBSE sample)
Q79. A plot is in the shape of a rectangle ABCD with coordintes as A (-2, 0), B(-2, 2),
C(3, 2) and D(3, 0). The owner of the plot wants to build park, fitness centre, play
school and old age home in this land. (Marks : 4)
1. Plot the points A (-2, 0), B(-2, 2), C(3, 2) and D(3, 0) on a graph paper.
2. Which values are depicted here? (V) (CBSE sample)
Q80. Draw the graph of the equation y = 3x +2 by plotting the four points on the graph. (Marks : 4)
Q81. A man has a rectangular plot with the vertices A(4, 3), B(-2, 3), C(-2, -4) and
D(4,-4). He decides it to donate to the child trust.
1. Plot the points A(4, 3), B(-2, 3), C(-2, -4) and D(4,-4) and join the points in (Marks : 4)
successive order.
2. What are the values you learn from the man? (V) (CBSE sample)
Q82. (i) Plot the points on the cartesian plane using the suitable scale . (Marks : 4)

x -1 -2 0 2 3 1
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y 5 6 .25 6 -6 1.5

(ii) Write the quadrant in which the points (-2, 6), (-1, 5) lie.

(iii) Which point lies on the x axis?

(iv) Write the quadrant in which the points (2, 6), (1,1.5) lie.
Q83. To raise awareness about Saving water, a school decided to start "Saving Water"
campaign. The students of class IX were asked to prepare the banners in the form
of a square ABCD with coordinates P(1,0), Q(4, 0), R(4, 3) and S(1, 3). (Marks : 4)
1. Plot the points P, Q , R and S on a graph paper and join the points.
2. What qualities do you think is encouraged by such campaign? (V) (CBSE
sample)
Q84. The relation between abscissa and the ordinate of the points is given by the
following equation: y = 2x - 3 (Marks : 4)
Plot four points which satisfy the above equation.
Q85. Write down the co-ordinates of each of points P, Q, R, and T as shown in the
following figure:

(Marks : 5)

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