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Vidaara.orgClass 9 · Mathematics
CodeVID-M09-01-NLN-01
Number Line Representation — Assignment
Chapter: Number System
Topic: Review of Number Line Representation
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.
Every real number corresponds to ___ on the number line.
  • A.two points
  • B.a unique point
  • C.no point
  • D.many points
2.
Numbers left of $0$ are:
  • A.positive
  • B.negative
  • C.zero
  • D.whole
3.
Between two rationals there are:
  • A.none
  • B.one
  • C.infinitely many rationals
  • D.only integers
4.
The point representing $0$ is called the:
  • A.unit
  • B.origin
  • C.axis
  • D.scale
5.
Larger numbers lie to the:
  • A.left
  • B.right
  • C.centre
  • D.top
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Which is greater: $-3$ or $-5$?
7.
How many rational numbers lie between $1$ and $2$?
8.
Where does $-2$ lie relative to $0$?
9.
Find a rational number between $\tfrac14$ and $\tfrac12$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find three rational numbers between $\tfrac13$ and $\tfrac12$.
11.
Describe how to represent $\tfrac35$ on the number line.
12.
Find a rational number between $0.1$ and $0.2$.
13.
Insert two rational numbers between $2$ and $3$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Find six rational numbers between $3$ and $4$.
15.
Find five rational numbers between $\tfrac35$ and $\tfrac45$.

Answer Key

Section A — Multiple Choice Questions
  1. (B) a unique point
  2. (B) negative
  3. (C) infinitely many rationals
  4. (B) origin
  5. (B) right
Section B — Short Answer (2 marks)
  1. $-3$.
  2. Infinitely many.
  3. To the left.
  4. e.g. $\tfrac38$.
Section C — Short Answer (3 marks)
  1. e.g. $\tfrac{2}{5},\ \tfrac{9}{20},\ \tfrac{7}{18}$.
  2. Divide the segment from $0$ to $1$ into $5$ equal parts and mark the $3$rd point.
  3. e.g. $0.15$.
  4. e.g. $2.3$ and $2.7$.
Section D — Long Answer (5 marks)
  1. e.g. $3.1,3.2,3.3,3.4,3.5,3.6$.
  2. $\tfrac{19}{30},\tfrac{20}{30},\tfrac{21}{30},\tfrac{22}{30},\tfrac{23}{30}$.
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