Differentiated worksheet
Level (1)
1. If a shape is enlarged, and becomes bigger, select a possible scale factor for the
enlargement.
A) 0.5
B) 1
C) 2
2.
The point O is called the:
A) The center of the drawing
B) image center
C) center of enlargement
D) enlargement point
3. The sides of the larger rectangle are twice as long as those of the smaller one.
What is the scale factor for the enlargement?
4. This diagram shows a triangle being enlarged with scale factor 2.
Point D is twice as far from O as A.
A) True
B) False
5. The position of the centre of enlargement determines where the image will be
drawn after an enlargement.
A) True
B) False
Level(2)
6. Triangle ABC has been enlarged with scale factor 3, centre (1, 2).
How many times further away from (1, 2) is point Q than point B?
7.
What is the scale factor that maps the blue rectangle onto the yellow rectangle?
8.
What scale factor was used to enlarge the small circle?
9. This square is to be enlarged by a scale factor of 5.
What will be the length of the new square?
10.
What scale factor was used to enlarge the small square?
11.
What is the scale factor for the enlargement that maps the orange rectangle onto
the green rectangle?
12.
Which of these fractions shows how to work out the scale factor using the sides of
two similar figures?
Level (3)
13. What is the scale factor for the enlargement that maps rectangle B onto
rectangle A?
14. What is the scale factor for the enlargement that maps shape B onto shape A?
15. Shape A has been enlarged to form shape B.
What is the centre of enlargement?
16. Shape B has been enlarged to form shape A.
What is the centre of enlargement?
17. Triangle ABC is enlarged to triangle PQR using a scale factor of 3 from centre
A.
What are the coordinates of triangle PQR.?
Challenges
18. The small triangle has been enlarged to produce the larger triangle.
Work out the values of x and y.
19. A rectangle has vertices at the points (2, 3), (5, 3), (2, 7) and (5, 7).
It is enlarged to form a triangle with vertices at (6, 9), (15, 9), (6, 21) and (9, 21).
What is the scale factor for the enlargement?
20. The area of a square is 16 cm2. Its side length is enlarged by a scale factor of 3.
What is the area of the new square?