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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-20-PRO-01
Direct Proportion & Unitary Method - Assignment
Chapter: Ratio, Proportion and Percentages
Topic: Direct Proportion and Unitary Method
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 direct proportion, as one increases, the other:
  • A.decreases
  • B.increases
  • C.stays same
  • D.becomes zero
2.
The unitary method first finds the value of:
  • A.all units
  • B.one unit
  • C.the total
  • D.the ratio
3.
If $2$ pens cost Rs $20$, one pen costs:
  • A.Rs $5$
  • B.Rs $10$
  • C.Rs $20$
  • D.Rs $40$
4.
More articles cost more money — this is:
  • A.inverse proportion
  • B.direct proportion
  • C.no relation
  • D.a ratio
5.
If $1$ pen costs Rs $8$, then $5$ pens cost:
  • A.Rs $13$
  • B.Rs $40$
  • C.Rs $35$
  • D.Rs $45$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
If $1$ pen costs Rs $8$, find the cost of $5$ pens.
7.
If $4$ books cost Rs $200$, find the cost of $1$ book.
8.
If $3$ kg of rice costs Rs $90$, find the cost per kg.
9.
If $2$ m of cloth costs Rs $60$, find the cost of $5$ m.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
If $5$ pencils cost Rs $25$, find the cost of $8$ pencils.
11.
A car travels $120$ km on $8$ litres. Find the distance on $5$ litres.
12.
$7$ m of ribbon costs Rs $84$. Find the cost of $10$ m.
13.
If $9$ books cost Rs $270$, find the cost of $4$ books.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
If $12$ identical pens cost Rs $96$, find the cost of $7$ such pens using the unitary method.
15.
A car covers $240$ km in $4$ hours at a steady speed. How far will it travel in $7$ hours?

Answer Key

Section A — Multiple Choice Questions
  1. (B) increases
  2. (B) one unit
  3. (B) Rs $10$
  4. (B) direct proportion
  5. (B) Rs $40$
Section B — Short Answer (2 marks)
  1. Rs $40$.
  2. Rs $50$.
  3. Rs $30$.
  4. Rs $150$.
Section C — Short Answer (3 marks)
  1. Rs $40$.
  2. $75$ km.
  3. Rs $120$.
  4. Rs $120$.
Section D — Long Answer (5 marks)
  1. Rs $56$.
  2. $420$ km.
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