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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-14-ENL-01
Enlargement and Scaling - Assignment
Chapter: Transformations
Topic: Enlargement and Scaling
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.
An enlargement changes size by a:
  • A.rotation
  • B.scale factor
  • C.reflection
  • D.translation
2.
A scale factor of $2$ makes lengths:
  • A.half
  • B.double
  • C.same
  • D.four times
3.
A scale factor between $0$ and $1$ makes the figure:
  • A.larger
  • B.smaller
  • C.congruent
  • D.a point
4.
Under enlargement, the shape stays:
  • A.congruent
  • B.similar
  • C.different
  • D.a point
5.
If lengths scale by $k$, areas scale by:
  • A.$k$
  • B.$2k$
  • C.$k^2$
  • D.$\tfrac{k}{2}$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
A length of $5$ cm with scale factor $3$ becomes:
7.
A scale factor of $\tfrac12$ applied to $8$ cm gives:
8.
Does enlargement change the shape?
9.
A scale factor of $2$ changes area by a factor of:
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
A rectangle $4$ cm by $3$ cm is enlarged by scale factor $2$. Find the new dimensions.
11.
How does the new area in the previous question compare to the original?
12.
A $6$ cm line is scaled to $2$ cm. Find the scale factor.
13.
A square of side $5$ is enlarged by factor $3$. Find the new perimeter.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A triangle has sides $3, 4, 5$ cm. It is enlarged by scale factor $3$. Find the new side lengths and the ratio of areas.
15.
A photo $6$ cm by $4$ cm is enlarged so its longer side becomes $18$ cm. Find the scale factor and the new shorter side.

Answer Key

Section A — Multiple Choice Questions
  1. (B) scale factor
  2. (B) double
  3. (B) smaller
  4. (B) similar
  5. (C) $k^2$
Section B — Short Answer (2 marks)
  1. $15$ cm.
  2. $4$ cm.
  3. No, it stays similar.
  4. $4$.
Section C — Short Answer (3 marks)
  1. $8$ cm by $6$ cm.
  2. $4$ times.
  3. $\tfrac13$.
  4. $60$.
Section D — Long Answer (5 marks)
  1. Sides $9, 12, 15$ cm; areas in ratio $1:9$.
  2. Scale factor $3$; shorter side $12$ cm.
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