Enlargements/Similar shapes - Intermediate & Higher test questions

1

Six shapes labelled A to F. A is a square, B is a rectangle, C is a triangle, D is a rectangle, E is a rectangle, F is a triangle

Which two shapes are similar?

C and F

B and E

B and D

2

Five shapes labelled 1 to 5. 1 is a rectangle, 2 is a square, 3 is a rectangle, 4 is a rectangle, 5 is a rectangle

Which of these shapes are similar?

1 and 5

1, 3 and 5

1 and 3

3

Two triangles. One has base and height equal to 4 cm. The base and height of the other triangle are unknown

This triangle is enlarged by a scale factor of 1.5, what would the dimensions of the enlarged shape be?

Base = 6 m, height = 4 m

Base = 8 m, height = 8 m

Base = 6 m, height = 6 m

4

Two rectangles labelled 'A' and 'B'. Rectangle A measures 11 mm by 3 mm, rectangle B measures 5.5 mm by 1.5 mm

What is the scale factor used to transform A into B?

0.5

1.83

5

What is the scale factor used to enlarge this shape?

Two L shapes. One is of height 35 cm and base 20 cm, the other is of height 63 cm and base 36 cm

0.56

1.8

3.15

6

Sue has a photograph which measures 8 cm by 10 cm which she wants to enlarge by a scale factor of 1.25. Which of the following are the correct dimensions/measurements for the enlargement?

10 cm by 12.5 cm

12 cm by 15 cm

16 cm by 20 cm

7

A company makes gift boxes in two different sizes but with a similar shape. The smaller gift box measures 4 cm by 5 cm by 6 cm as shown. The height of the larger box is 8 cm. What will be its length and breadth/width?

Two cubes. One is 5 by 4 by 6 cm, the other is 8 by ? by ? cm.

5.2 cm and 7.8 cm

6 cm and 9 cm

6.4 cm and 9.6 cm

8

Two pin badges are similar in size.

Badge A has a perimeter of 60 cm and a height of 5 cm.

Badge B has a perimeter of 15 cm.

Calculate the height of badge B.

1.25 cm

4 cm

0.25 cm

9

Questions 9 - 10 are for Higher tier only

A company wants to produce posters to advertise a new product. The two posters will be similar in size. Poster A will have a length of 5 m and an area of 55 m². Poster B will have a length of 25 m.

If the poster costs 5p per square metre, how much will poster B cost to produce?

£13.75

£68.75

£1,375

10

Two similar 3D shapes have the following properties:

Shape 1: volume 30 m³, surface area 62 m²

Shape 2: volume 101.25 m³

What is the surface area of shape 2?

209.25 m²

93 m²

139.5 m²