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Vidaara.orgClass 8 · Mathematics
CodeVID-M8-08-CT
Coordinate Geometry — Full Chapter Test
Chapter: Coordinate Geometry
Topic: Complete chapter — all topics
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • This is a full-length test covering the whole chapter — every topic is included.
  • 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.
In Quadrant I, $(x,y)$ are:
  • A.$(+,+)$
  • B.$(-,+)$
  • C.$(-,-)$
  • D.$(+,-)$
3.
The graph of $y=x$ passes through the:
  • A.point $(1,0)$
  • B.origin
  • C.point $(0,1)$
  • D.$y$-axis only
4.
The origin is:
  • A.$(1,1)$
  • B.$(0,0)$
  • C.$(0,1)$
  • D.$(1,0)$
5.
In Quadrant II, $(x,y)$ are:
  • A.$(+,+)$
  • B.$(-,+)$
  • C.$(-,-)$
  • D.$(+,-)$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Write the coordinates of the origin.
7.
In which quadrant is $(3,5)$?
8.
Does $(2,2)$ lie on $y=x$?
9.
In $(5,3)$, what is the $x$-coordinate?
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.
State the quadrant of $(-5,-9)$.
12.
Make a table for $y=x+1$ for $x=0,1,2$.
13.
Name the axis on which $(0,6)$ lies.
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.
Find the distance between $A(0,0)$ and $B(6,8)$.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $(x,y)$
  2. (A) $(+,+)$
  3. (B) origin
  4. (B) $(0,0)$
  5. (B) $(-,+)$
Section B — Short Answer (2 marks)
  1. $(0,0)$.
  2. I.
  3. Yes.
  4. $5$.
Section C — Short Answer (3 marks)
  1. $(4,2)$.
  2. III.
  3. $(0,1),\ (1,2),\ (2,3)$.
  4. The $y$-axis.
Section D — Long Answer (5 marks)
  1. $A$ in Quadrant I; $B$ in Quadrant II; $C$ on the negative $y$-axis.
  2. $10$.
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