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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-01-OPS-01
Operations on Rational Numbers - Assignment
Chapter: Rational Numbers
Topic: Operations on Rational Numbers
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.
$\tfrac12+\tfrac14=$
  • A.$\tfrac24$
  • B.$\tfrac34$
  • C.$\tfrac13$
  • D.$\tfrac16$
2.
$\tfrac23\times\tfrac35=$
  • A.$\tfrac25$
  • B.$\tfrac56$
  • C.$\tfrac69$
  • D.$\tfrac13$
3.
Dividing by a fraction means multiplying by its:
  • A.square
  • B.reciprocal
  • C.opposite
  • D.half
4.
$\tfrac56-\tfrac16=$
  • A.$\tfrac46$
  • B.$\tfrac23$
  • C.$\tfrac16$
  • D.$1$
5.
To add unlike fractions, first find the:
  • A.product
  • B.LCM
  • C.difference
  • D.reciprocal
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Add $\tfrac25+\tfrac15$.
7.
Subtract $\tfrac78-\tfrac38$.
8.
Multiply $\tfrac34\times\tfrac89$.
9.
Divide $\tfrac45\div\tfrac23$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Simplify $\tfrac12+\tfrac23-\tfrac16$.
11.
Multiply $\tfrac23\times\tfrac{9}{10}\times\tfrac56$.
12.
Divide $\tfrac79\div\tfrac{14}{27}$.
13.
Evaluate $\tfrac34-\tfrac58+\tfrac12$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Simplify $\left(\tfrac23+\tfrac14\right)\div\left(\tfrac56-\tfrac13\right)$.
15.
A rope is $\tfrac78$ m long. It is cut into pieces each $\tfrac{7}{16}$ m long. How many pieces are obtained?

Answer Key

Section A — Multiple Choice Questions
  1. (B) $\tfrac34$
  2. (A) $\tfrac25$
  3. (B) reciprocal
  4. (B) $\tfrac23$
  5. (B) LCM
Section B — Short Answer (2 marks)
  1. $\tfrac35$.
  2. $\tfrac12$.
  3. $\tfrac23$.
  4. $\tfrac65$.
Section C — Short Answer (3 marks)
  1. $1$.
  2. $\tfrac12$.
  3. $\tfrac32$.
  4. $\tfrac58$.
Section D — Long Answer (5 marks)
  1. $\tfrac{11}{6}$.
  2. $2$ pieces.
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