Using similarity test questions - National 5 Maths Revision

1

Triangle A¹B¹C¹ has been enlarged to give triangle ABC.

What is the scale factor of the enlargement?

Diagram of a small and large triangle equal in proportion

\[3\]

\[\frac{1}{2}\]

\[2\]

2

Triangle XYZ has been enlarged to give triangle X¹Y¹Z¹.

What is the scale factor of the enlargement?

\[3\]

\[2\]

\[\frac{1}{2}\]

3

Triangle ABC has been enlarged to give triangle A¹B¹C¹.

What is the scale factor of the enlargement?

\[2\]

\[3\]

\[\frac{1}{2}\]

4

For the pair of similar rectangles below, find the scale factor and calculate \(x\).

Diagram of two squares equal in proportion but with different values

24cm

26cm

37.5cm

5

For the pair of similar triangles below, find the scale factor and calculate \(x\).

Diagram of two triangles equal in proportion but with different values

15cm

6cm

4cm

6

Two fridge magnets are mathematically similar.

One magnet is 4cm long and the other is 10cm long.

The area of the smaller magnet is 18cm².

Calculate the area of the larger magnet.

2.88cm²

45cm²

112.5cm²

7

The Easypac Soup Company produces small cylindrical tins of radius 3cm, and similar large tins of radius 5cm.

If a small tin contains 243ml of soup, how much does a large tin contain?

52.5ml

405ml

1125ml

8

Coffee is sold in regular cups and large cups.

The two cups are mathematically similar in shape.

The large cup is 21 cm high and holds 540 ml.

The regular cup is 14 cm high.

Calculate how many ml the regular cup holds.

47.4ml

240ml

160ml