Geometry & MeasuresKey Facts

Area and Volume Scale Factors

Part of Transformations: Enlargements — GCSE Mathematics

This key facts covers Area and Volume Scale Factors within Transformations: Enlargements for GCSE Mathematics. Revise Transformations: Enlargements in Geometry & Measures for GCSE Mathematics with 15 exam-style questions and 5 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 3 of 6 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 3 of 6

Practice

15 questions

Recall

5 flashcards

Area and Volume Scale Factors

Measurement	Scale Factor	Example
Length	SF	SF = 3: length × 3
Area	SF²	SF = 3: area × 9
Volume	SF³	SF = 3: volume × 27

Keep building this topic

Read this section alongside the surrounding pages in Transformations: Enlargements. That gives you the full topic sequence instead of a single isolated revision point.

Scale Factor Effects Method: Enlarging from a Centre Zooming In and Out Worked Example: Enlargement from Origin

Practice Questions for Transformations: Enlargements

Which of the following statements correctly describes an enlargement?

A. A transformation that changes the shape of an object but keeps its size the same
B. A transformation that changes the size of a shape using a scale factor and a centre of enlargement
C. A transformation that always makes a shape bigger
D. A transformation that rotates a shape around a fixed point

1 markfoundation

Triangle P has vertices at (2, 1), (6, 1) and (2, 5). Triangle Q has vertices at (4, 2), (12, 2) and (4, 10). Describe fully the single transformation that maps triangle P onto triangle Q.

3 marksstandard

Quick Recall Flashcards

Scale Factor > 1

Shape gets BIGGER. SF = 2 means all lengths doubled. Only transformation that changes size!

Scale Factor < 1

Shape gets SMALLER. SF = 0.5 means all lengths halved. Still called "enlargement" even though it shrinks!

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Scale Factor Effects

Method: Enlarging from a Centre