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Enlargements

Free Printable Enlargements PDF Worksheets, Revision Guide & GCSE Past Paper Questions (Grade 3)

Download free enlargements worksheets (PDF), GCSE maths past paper questions and worked solutions for Enlargements (3U). This is a Grade 3 geometry topic from the GCSE questions by topic collection for Foundation and Higher tier GCSE Maths (Edexcel, AQA, OCR and IGCSE).

The free PDF worksheets table below brings together printable question booklets (Qs) and worked answers or mark schemes (Ans) from Maths Genie, Corbett Maths, Dr Austin, 1st Class Maths, GCSE Maths Rocket, E Classroom and PMT, along with past paper question booklets.

Below the worksheet links you can read our enlargements revision notes and worked examples with diagrams, try real GCSE past paper enlargements questions with step-by-step solutions, or download a PDF of all enlargements worksheet links.

Free Enlargements PDF Worksheets & Answers

Grade 3 • Topic 3U
Resource Questions Answers
GCSE past paper questions & solutions
 Qs Ans
Graded exam questions & solutions
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Practice Questions & answers
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Textbook Exercise & answers
 Qs Ans
Practice grid / worksheet & answers
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Practice grid / worksheet & answers
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Edexcel exam questions & solutions
 Qs Ans
AQA exam questions & solutions
 Qs Ans
Practice questions & answers
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GCSE topic booklet & answers
 Qs Ans
PMT (Edxl)
Edexcel GCSE topic questions & solutions
 Qs Ans
PMT (AQA)
AQA GCSE topic questions & solutions
 Qs Ans
PMT (IGCSE)
Edexcel IGCSE topic questions & solutions
 Qs Ans
Interactive online lesson & practice
 Page
Grade 3 topics
3A - Error intervals3B - Operations with fractions
3C - Estimation3D - Writing and simplifying ratio
3E - Ratio3F - Proportion recipes
3G - Percentages3H - Percentage change
3J - Exchange rates3K - Conversions and units
3L - Scale drawings3M - Best buy questions
3N - Substitution3P - Solving linear equations
3Q - Straight line graphs3R - Area and circumference
3S - Rotations3T - Reflections
3U - Enlargements3V - Translations
3W - Mixed transformations3X - Area of compound shapes
3Y - Frequency trees3Z - Two way tables
GCSE Maths Grade 3 Revision Notes & Method

Guide to Enlargements: Explanation, Diagrams & Worked Examples

Download Printable One Page Guide (PDF)

Explanation:

To describe an enlargement fully (3 marks), state: (1) the word enlargement, (2) the scale factor (Image lengthObject length), and (3) the coordinates of the centre of enlargement (found by drawing straight ray lines through corresponding vertices until they cross).

To perform an enlargement from a centre, count the horizontal and vertical steps from the centre to each vertex, multiply both steps by the scale factor, and plot the new vertices starting from the centre. A fractional scale factor (e.g. 12) makes the shape smaller.

Example 1: Enlarge point A(3, 2) by scale factor 3 with centre (1, 1).

(1,1) A(3,2) A'(7,4)
From (1,1): 2 right, 1 up.
× 3 → 6 right, 3 up.
Answer: (7, 4)

Example 2: Shape P (base 4, top (3,5)) maps to Q (base 2, top (2,3)) with rays meeting at (1,1). Describe the transformation.

P Q (1,1)
SF = 24 = 12
Centre = (1, 1)
Enlargement, SF 12, centre (1, 1)
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Enlargements Questions & Answers

Past Paper Example 1 GCSE Nov 2022 1F Q11 4 marks
Full Paper (PDF) • Mark Scheme (PDF)
Here are two triangles on a grid.
AB
Triangle **B** is an enlargement of triangle **A**.
(a) Write down the scale factor of the enlargement. [1 mark]
On the grid, mark with a cross (×) the centre of enlargement. [1 mark]
(b) On the grid, draw the mirror line. [1 mark]
1234567812345678OxyCD
Write down an equation of this mirror line. [1 mark]
Worked Solution & Mark Scheme (4 marks)
Part (a) Solution:
Top edge 3 → 6 so scale factor = 2
rays meet at (1, 2) B1
Answer (a): 2
Part Solution:
Cross at (1, 2)
Answer : Cross at (1, 2)
Part (b) Solution:
Reflection in line y = x B1
Answer (b): Line y = x drawn
Part Solution:
y = x
Answer : y = y = x
Past Paper Example 2 IGCSE Jan 2022 1FR Q12 4 marks
Full Paper (PDF) • Mark Scheme (PDF)
–7–6–5–4–3–2–1123456789–2–1123456789OxyAB
Work out
(a) Describe fully the single transformation that maps triangle A onto triangle B. (b) Enlarge triangle A with scale factor 2 and centre O, label it C.
(a) Describe fully the single transformation that maps triangle A onto triangle B [2 marks]
(b) On the grid above, enlarge triangle A with scale factor 2 and centre O
Label your triangle C [2 marks]
Worked Solution & Mark Scheme (4 marks)
Part (a) Solution:
Midline between x = 2 and x = –4 is x = –1 M1 C1
Answer (a): Reflection in the line x = –1
Part (b) Solution:
Multiply coordinates (2,1), (4,1), (2,4) by 2 → (4,2), (8,2), (4,8) M1 A1
Answer (b): Triangle C drawn with vertices at (4, 2), (8, 2) and (4, 8)
Past Paper Example 3 AQA Jun 2018 1H Q21 2 marks
Full Paper (PDF) • Mark Scheme (PDF)
Enlarge triangle ABC by scale factor -2, centre (4, 1)
–4–22468–2246xyOABC
Draw the enlarged triangle on the grid.
Worked Solution & Mark Scheme (2 marks)
From centre (4, 1): M1
Vertex A(8, 1): vector from centre is (4, 0)
Multiplied by -2: (-8, 0)
New vertex: (4 - 8, 1 + 0) = (-4, 1)
Vertex B(6, -1): vector from centre is (2, -2)
Multiplied by -2: (-4, 4)
New vertex: (4 - 4, 1 + 4) = (0, 5)
Vertex C(7, -1): vector from centre is (3, -2)
Multiplied by -2: (-6, 4)
New vertex: (4 - 6, 1 + 4) = (-2, 5). A1
–4–22468–2246xyOABC
Answer: Answer Triangle with vertices (-4, 1), (0, 5), (-2, 5)

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