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Numeracy Higher November 2024 Unit 1 Q7

7. Shipping containers are used to transport goods around the world.
The dimensions of a shipping container are as follows:

  • The height is 2·59 m, correct to the nearest centimetre.
  • The width is 2·43 m, correct to the nearest centimetre.
  • The length is approximately double the width.
(a) What is the least possible width of this shipping container?
Circle your answer. [1]

2·425 m    2·42 m    2·435 m    2·426 m    2·424 m

(b) An end view of a stack of these shipping containers is shown below.
End view of a stack of shipping containers, 4 containers high and 8 containers wide

Diagram not drawn to scale

Calculate the greatest possible height of the stack of shipping containers.
Give your answer in metres. [3]

(c) In 2012, there were \(2 \times 10^{7}\) shipping containers in the world.

Joshua says,

By 2025, I think that the number of shipping containers in the world will reach \(1{\cdot}2 \times 10^{8}\).

Assuming Joshua is correct, complete the statement below.

“By 2025, the percentage increase in the number of shipping containers in the world since 2012 will be …………… %.”

You must show all your working. [3]