The x-coordinate of a point is called the abscissa and the meeting point of the axes is the origin, so this Grade 8 sheet begins with the names used to locate points. The key records (0, 0) for the origin and 0 for a point on the x-axis.
Key Takeaways
The x-coordinate is called the abscissa (Q1).
The axes meet at the origin (Q2).
Q3 records (0, 0) as the origin point.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.The x-coordinate of a point is also called:
(a) Ordinate(b) Abscissa(c) Origin(d) Coordinate
2.The point where x-axis and y-axis intersect is called:
(a) Origin(b) Vertex(c) Centre(d) Node
3.The coordinates of the origin are:
(a) (1, 1)(b) (0, 1)(c) (1, 0)(d) (0, 0)
4.In which quadrant does (−3, 5) lie?
(a) Ist(b) IInd(c) IIIrd(d) IVth
5.A point on the x-axis has y-coordinate:
(a) 1(b) 0(c) −1(d) Undefined
6.The independent variable is usually plotted on which axis?
(a) x-axis(b) y-axis(c) Both(d) Neither
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Plot the points A(2, 3), B(−1, 4), C(−3, −2), and D(4, −1) on a graph. State their quadrants.
8.Draw the graph of y = 2x + 1 for x = −2, −1, 0, 1, 2.
9.The following table gives the temperature at different times of a day. Draw a line graph.
Time: 6, 9, 12, 15, 18 (hours)
Temp: 15, 20, 28, 25, 18 (°C)
10.Find the coordinates of a point whose abscissa is 3 and ordinate is −2.
11.Which axis does the point (0, 5) lie on?
12.Draw the graph of y = 3x for x = 0, 1, 2, 3.
13.A point is at a distance of 4 units from x-axis and 3 units from y-axis in the positive direction. Find its coordinates.
14.Is the point (−2, 3) the same as (3, −2)? Justify.
Section C: Word Problems (3 Marks Each)
Apply the concepts to solve real-life problems.
15.The following data shows the growth of a plant over weeks. Draw a graph and find the height in week 5.
Week: 1, 2, 3, 4, 6
Height (cm): 2, 5, 8, 11, 17
16.A car travels at a constant speed of 60 km/h. Draw a distance-time graph and find the distance after 4.5 hours.
17.The number of students in a school from 2019 to 2024 is given. Draw a bar graph.
Year: 2019, 2020, 2021, 2022, 2023, 2024
Students: 520, 540, 510, 560, 580, 600
18.Given the coordinates of three vertices of a rectangle: A(2, 3), B(2, 7), C(6, 7). Find the fourth vertex D.
19.A cyclist covers the following distances over time. Determine if the motion is uniform.
Time (h): 0, 1, 2, 3
Distance (km): 0, 15, 30, 45
20.The graph of y = mx passes through the point (2, 8). Find the value of m.
Answer Key
1. b) Abscissa
2. a) Origin
3. d) (0, 0)
4. b) IInd
5. b) 0
6. a) x-axis
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet
People Also Ask
What is the x-coordinate of a point called?
The abscissa, option (b) in this worksheet (Q1).
Where do the x-axis and y-axis meet?
At the origin, option (a) in this worksheet (Q2).
What are the coordinates of the origin?
(0, 0), option (d) in this worksheet (Q3).
Stuck on a similar problem? Clear your next doubt instantly with the Doubt Solver.
Browse more free worksheets for CBSE Grade 8.