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Maths II

Measure and Shape

1.

Two similar shapes have areas of 90cm^{2} and 62.5cm^{2}. The perimeter of the smaller shape is 40cm. What's the perimeter of the larger shape?

33.3cm

48cm

57.6cm

2.

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

3.

Coffee is sold in regular cups and large cups. The two cups are mathematically similar in shape. The regular cup is 14 cm high and holds 160 ml. The large cup is 21 cm high. Calculate how many ml the large cup holds.

47.4ml

240ml

540ml

4.

Two similar shapes have volumes in the ratio 1:8. What's the ratio of their surface areas?

1:2

1:4

1:8

5.

Two fridge magnets are mathematically similar. One magnet is 4cm long and the other is 10cm long. The area of the smaller magnet is 18cm^{2}. Calculate the area of the larger magnet.

2.88cm^{2}

45cm^{2}

112.5cm^{2}

6.

Two similar shapes have volumes in the ratio 1:27. What's the ratio of their surface areas?

1:1

1:3

1:9

7.

Two similar shapes have lengths in the ratio 1:4. What's the ratio of their surface areas?

1:16

1:32

1:64

8.

Two similar shapes have lengths in the ratio 1:5. What's the ratio of their volumes?

1:10

1:25

1:125

9.

Three similar shapes have areas in the ratio of 9:49:100. What is the ratio of their lengths?

3:7:10

4.5:24.5:50

5:10:10

10.

Three similar shapes have volumes in the ratio of 1:8:27. What is the ratio of their areas?

1:2:3

1:3:9

1:4:9