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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-01-CMP-01
Comparison & Standard Form - Assignment
Chapter: Rational Numbers
Topic: Comparison, Standard Form & Ordering
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.
In standard form the denominator is:
  • A.negative
  • B.positive
  • C.zero
  • D.a fraction
2.
The standard form of $\tfrac48$ is:
  • A.$\tfrac12$
  • B.$\tfrac24$
  • C.$\tfrac14$
  • D.$2$
3.
Which is greater: $\tfrac25$ or $\tfrac37$?
  • A.$\tfrac25$
  • B.$\tfrac37$
  • C.equal
  • D.cannot say
4.
Between two rational numbers there are:
  • A.none
  • B.one
  • C.finitely many
  • D.infinitely many
5.
To compare unlike fractions, equalise the:
  • A.numerators
  • B.denominators
  • C.signs
  • D.reciprocals
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Write $\tfrac{12}{18}$ in standard form.
7.
Write $-\tfrac{15}{25}$ in standard form.
8.
Which is greater: $\tfrac25$ or $\tfrac37$?
9.
Find one rational number between $\tfrac14$ and $\tfrac12$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Arrange in ascending order: $\tfrac12,\ \tfrac23,\ \tfrac34$.
11.
Write $-\tfrac{20}{36}$ in standard form.
12.
Find two rational numbers between $\tfrac13$ and $\tfrac12$.
13.
Which is smaller: $-\tfrac34$ or $-\tfrac23$?
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Arrange in descending order: $-\tfrac12,\ \tfrac34,\ -\tfrac23,\ \tfrac56$.
15.
Find three rational numbers between $\tfrac25$ and $\tfrac35$.

Answer Key

Section A — Multiple Choice Questions
  1. (B) positive
  2. (A) $\tfrac12$
  3. (B) $\tfrac37$
  4. (D) infinitely many
  5. (B) denominators
Section B — Short Answer (2 marks)
  1. $\tfrac23$.
  2. $-\tfrac35$.
  3. $\tfrac37$.
  4. $\tfrac38$.
Section C — Short Answer (3 marks)
  1. $\tfrac12,\ \tfrac23,\ \tfrac34$.
  2. $-\tfrac59$.
  3. $\tfrac{7}{18}$ and $\tfrac49$.
  4. $-\tfrac34$.
Section D — Long Answer (5 marks)
  1. $\tfrac56,\ \tfrac34,\ -\tfrac12,\ -\tfrac23$.
  2. $\tfrac{13}{30},\ \tfrac{7}{15},\ \tfrac12$.
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