Home   >  Maths quizzes   >  Grade 3 Quizzes   >  Enlargements

MathsLinks Logo Enlargements Worksheets

Enlargements Quiz

Grade 3 • 3U • 10 Questions (34 Marks)

Grade 1Grade 2Grade 3Grade 4Grade 5Grade 6Grade 7Grade 8/9
Score: 0 / 10
Enlargements — Notes & Worked Examples Show / Hide

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)
Question 1 AQA Jun 2018 1H Q21
[2 marks]
Enlarge triangle ABC by scale factor -2, centre (4, 1)
–4–22468–2246xyOABC
Draw the enlarged triangle on the grid.
Worked Solution & Answer
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)
Question Paper (PDF) • Mark Scheme (PDF)
Question 2
[2 marks]
Work out
On the grid, draw an enlargement of the triangle with a scale factor of 3
On the grid, draw an enlargement of the triangle with a scale factor of 3
Worked Solution & Answer
Base = 2 × 3 = 6 squares, height = 3 × 3 = 9 squares M1 A1
Answer: Triangle drawn with base 6 squares and height 9 squares
Question Paper (PDF) • Mark Scheme (PDF)
Question 3
[2 marks]
Here is a diagram showing triangle ABC and triangle ADE.
xy–2–1123456–2–1123456OABCDE
Describe fully the single transformation that maps triangle ABC onto triangle ADE.
Worked Solution & Answer
Enlargement by scale factor 4 about centre A(1, 1) M1 C1
Answer: Enlargement, scale factor 4, centre (1, 1)
Question Paper (PDF) • Mark Scheme (PDF)
Question 4
[2 marks]
Work out
On the grid, draw an enlargement of the shaded shape with a scale factor of 3.
On the grid, draw an enlargement of the shaded shape with a scale factor of 3
Worked Solution & Answer
Multiply each side vector by 3: base = 2 × 3 = 6 squares, left side = 2 × 3 = 6 squares, top-right vertex = (+3, +9) from bottom-right vertex. M1 A1
Answer: Quadrilateral enlarged by scale factor 3 (base 6 squares, left vertical side 6 squares, right vertex 3 squares right and 9 squares up from bottom-right)
Question Paper (PDF) • Mark Scheme (PDF)
Question 5 AQA Jun 2024 1F Q27 / 1H Q11
[3 marks]
xyO12345678–7–6–5–4–3–2–1123456AB
Describe fully the single transformation that maps shape A to shape B. [3 marks]
Describe fully the **single** transformation that maps shape A to shape B.
Worked Solution & Answer
Lengths of shape B are half the lengths of shape A: Enlargement, scale factor 1/2. M2
Ray lines through corresponding vertices (1, 5)→(1, –1), (1, 1)→(1, –3), and (5, 1)→(3, –3) intersect at (1, –7). C1
Answer: Enlargement, scale factor 1/2 (or 0.5), centre (1, –7)
Question Paper (PDF) • Mark Scheme (PDF)
Question 6 IGCSE Nov 2024 2F Q15
[3 marks]
1122334455667788991010xyOAB
Describe fully the single transformation that maps shape A onto shape B
Describe fully the single transformation that maps shape A onto shape B
Worked Solution & Answer
Base of A is 2 units, base of B is 6 units ⇒ scale factor = 3 M2
rays through corresponding vertices meet at the origin (0, 0). C1
Answer: Enlargement, scale factor 3, centre (0, 0)
Question Paper (PDF) • Mark Scheme (PDF)
Question 7 IGCSE Jan 2022 1FR Q12
[4 marks]
–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 & Answer
(a)
Midline between x = 2 and x = –4 is x = –1 M1 C1
Answer (a): Reflection in the line x = –1
(b)
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)
Question Paper (PDF) • Mark Scheme (PDF)
Question 8
[4 marks]
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]
(b) On the grid, mark with a cross (×) the centre of enlargement. [1 mark]
(b) On the grid, draw the mirror line. [1 mark]
1234567812345678OxyCD
(d) Write down an equation of this mirror line. [1 mark]
y =
Worked Solution & Answer
(a)
Top edge 3 → 6 so scale factor = 2
rays meet at (1, 2) B1
Answer (a): 2
(b)
Cross at (1, 2)
Answer (b): Cross at (1, 2)
(b)
Reflection in line y = x B1
Answer (b): Line y = x drawn
(d)
y = x
Answer (d): y = y = x
Question Paper (PDF) • Mark Scheme (PDF)
Question 9 IGCSE Jun 2025 2F Q19
[5 marks]
Work out
(a) Enlarge shape A with scale factor 3 and centre (0, 1). (2) (b) Describe fully the single transformation that maps triangle P onto triangle Q. (3)
(a) On the grid, enlarge shape **A** with scale factor 3 and centre (0, 1) [2 marks]
xy246810121424681012OA
(b) Describe fully the single transformation that maps triangle **P** onto triangle **Q** [3 marks]
xy12345678910123456789OPQ
Worked Solution & Answer
(a)
Multiply distances from (0, 1) by 3 M1 A1
Answer (a): Enlarged L-shape with vertices (3, 1), (9, 1), (9, 10), (6, 10), (6, 4), (3, 4)
(b)
Rotation 180° with centre (5, 5) (or enlargement scale factor –1, centre (5, 5)) M2 C1
Answer (b): Rotation, 180°, centre (5, 5)
Question Paper (PDF) • Mark Scheme (PDF)
Question 10 OCR Nov 2017 5H Q5
[7 marks]
Here is a coordinate grid.
–6–4–2246–6–4–224680yxAB
(a) Draw the image of triangle **A** after a reflection in the line y = -1. [2 marks]
(b) Describe fully the **single** transformation that maps triangle **A** onto triangle **B**. [3 marks]
(c) Complete this statement. [2 marks]
Worked Solution & Answer
(a)
Reflect (1, 1), (3, 1), (1, 4) across y = −1 to get (1, −3), (3, −3), (1, −6). M1 A1
Answer (a): Triangle with vertices (1, -3), (3, -3) and (1, -6)
(b)
Base reduces from 2 to 1 and height from 3 to 1.5, so enlargement with scale factor 1/2. Rays through corresponding vertices (1,1)→(3,4) and (3,1)→(4,4) intersect at (5, 7). M2 C1
Answer (b): Enlargement, scale factor 1/2, centre (5, 7)
(c)
Rotation of 180° about the origin maps (x, y) to (−x, −y), which is an enlargement of scale factor −1 about (0, 0). M1 C1
Answer (c): Scale factor -1 with centre of enlargement (0, 0)
Question Paper (PDF) • Mark Scheme (PDF)
Score: 0 / 10 (0 / 34 marks)
Enlargements Worksheets Next: Translations →

Grade 3 Quizzes

24 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