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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-08-CAR-01
Cartesian Plane & Ordered Pairs - Assignment
Chapter: Coordinate Geometry
Topic: Cartesian Plane and Ordered Pairs
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
A point is written as:
  • A.$(y,x)$
  • B.$(x,y)$
  • C.$[x,y]$
  • D.$x/y$
2.
The origin is:
  • A.$(1,1)$
  • B.$(0,0)$
  • C.$(0,1)$
  • D.$(1,0)$
3.
The $x$-coordinate is the:
  • A.ordinate
  • B.abscissa
  • C.origin
  • D.vertex
4.
The $y$-coordinate is the:
  • A.abscissa
  • B.ordinate
  • C.origin
  • D.vertex
5.
The horizontal axis is the:
  • A.$y$-axis
  • B.$x$-axis
  • C.origin
  • D.diagonal
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Write the coordinates of the origin.
7.
In $(5,3)$, what is the $x$-coordinate?
8.
In $(5,3)$, what is the $y$-coordinate?
9.
Which axis is vertical?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
State the coordinates of a point $4$ units right and $2$ units up from the origin.
11.
Name the axis on which $(0,6)$ lies.
12.
Name the axis on which $(-3,0)$ lies.
13.
Is $(2,5)$ the same point as $(5,2)$?
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Describe the location of $A(3,4)$, $B(-2,1)$ and $C(0,-3)$ (state quadrant or axis for each).
15.
A point lies $5$ units left of the $y$-axis and $3$ units below the $x$-axis. Write its coordinates and quadrant.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $(x,y)$
  2. (B) $(0,0)$
  3. (B) abscissa
  4. (B) ordinate
  5. (B) $x$-axis
Section B — Short Answer (2 marks)
  1. $(0,0)$.
  2. $5$.
  3. $3$.
  4. The $y$-axis.
Section C — Short Answer (3 marks)
  1. $(4,2)$.
  2. The $y$-axis.
  3. The $x$-axis.
  4. No.
Section D — Long Answer (5 marks)
  1. $A$ in Quadrant I; $B$ in Quadrant II; $C$ on the negative $y$-axis.
  2. $(-5,-3)$, Quadrant III.
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