Worksheets · Foundation and Higher

Positive and fractional enlargements

3 exam-style questions. Answers and the mark for each step are on the last page.

Question 1Non-calculator · 3 marks
This question is about enlargements.
(a) A rectangle measures 2 cm by 5 cm. It is enlarged by scale factor 3. Work out the perimeter of the enlarged rectangle. (2)
(b) A square with side 4 cm is enlarged to a square with side 10 cm. Write down the scale factor. (1)
Question 2Non-calculator · 3 marks
Rectangle R has vertices (2, 2), (6, 2), (6, 4) and (2, 4). It is enlarged by scale factor $\frac{1}{2}$ with centre (0, 0).
(a) Write down the coordinates of the image of (6, 4). (1)
(b) Work out the area of the image. (2)
Question 3Non-calculator · 4 marks
The line segment $AB$ has $A(1, 2)$ and $B(3, 2)$ . It is enlarged to give $A'B'$ with $A'(-1, -1)$ and $B'(5, -1)$ .
(a) Write down the scale factor of the enlargement. (1)
(b) Find the coordinates of the centre of enlargement. (3)

Answers and marks

(a) 42 cm

(b) 2.5

(a) $(3,2)$

(b) $2$ square units

(a) 3

(b) $(2, 3.5)$

P1 A correct method for the centre: an equation such as $A' - C = 3(A - C)$ , or rays $A'A$ and $B'B$ drawn and extended to meet.
P1 Solving for one coordinate of the centre.
A1 Correct answer: $(2, 3.5)$ .

Positive and fractional enlargements

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