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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-20-SCL-01
Scale Drawings & Applications - Assignment
Chapter: Ratio, Proportion and Percentages
Topic: Scale Drawings and Applications
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.
A scale relates a drawing length to the:
  • A.colour
  • B.actual length
  • C.area
  • D.angle
2.
A scale of $1:100$ means $1$ cm represents:
  • A.$10$ cm
  • B.$100$ cm
  • C.$1000$ cm
  • D.$1$ cm
3.
Scale drawings keep the same:
  • A.size
  • B.shape
  • C.colour
  • D.area
4.
On a $1:100$ map, $3$ cm represents:
  • A.$30$ cm
  • B.$300$ cm
  • C.$3$ cm
  • D.$3000$ cm
5.
Maps and blueprints use:
  • A.pie charts
  • B.scale drawings
  • C.bar graphs
  • D.tables
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
A scale is $1:50$. What does $1$ cm represent?
7.
On a $1:100$ map, $3$ cm represents:
8.
A scale of $1$ cm : $2$ m; $4$ cm represents:
9.
Do scale drawings keep the same shape?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
A map scale is $1:1000$. A road is $5$ cm on the map. Find the actual length.
11.
A model car scale is $1:25$. The model is $16$ cm long. Find the actual length.
12.
A plan uses $1$ cm : $3$ m. A room is $5$ cm long on the plan. Find the actual length.
13.
On a $1:200$ plan, how long is an actual wall of $10$ m?
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A map has a scale of $1:50000$. Two towns are $8$ cm apart on the map. Find the actual distance in kilometres.
15.
A room is $6$ m by $4$ m. Drawn to a scale of $1$ cm : $2$ m, state the dimensions of the scale drawing.

Answer Key

Section A — Multiple Choice Questions
  1. (B) actual length
  2. (B) $100$ cm
  3. (B) shape
  4. (B) $300$ cm
  5. (B) scale drawings
Section B — Short Answer (2 marks)
  1. $50$ cm.
  2. $300$ cm ($3$ m).
  3. $8$ m.
  4. Yes.
Section C — Short Answer (3 marks)
  1. $5000$ cm $=50$ m.
  2. $400$ cm $=4$ m.
  3. $15$ m.
  4. $5$ cm.
Section D — Long Answer (5 marks)
  1. $4$ km.
  2. $3$ cm by $2$ cm.
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