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.
Circle your answer. [1]
2·425 m 2·42 m 2·435 m 2·426 m 2·424 m

Diagram not drawn to scale
Calculate the greatest possible height of the stack of shipping containers.
Give your answer in metres. [3]
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]
| Scheme | Marks | Comments |
|---|---|---|
| 2.425 m | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| Sight of 2.595 (m) or equivalent in cm or mm | B1 | Award B1 for sight of 4 × 0.005 in an appropriate calculation Allow 0.004999(....) for 0.005, must clearly be a recurring 9 digit |
| 4 × 2.595 or 4 × 2.59 + 4 × 0.005 (= 10.36 + 0.02) or equivalent | M1 | Or equivalent in cm or mm If B0, FT provided unambiguously chosen: FT 2.59 < ‘their 2.595’ ≤ 2.6 |
| 10.38(0 m) | A1 | CAO, must be given in metres |
| Scheme | Marks | Comments |
|---|---|---|
Complete method the calculate the percentage increase
| M2 | Allow place value errors in writing given standard form numbers in full for M2 and M1 only M1 for any one of the following calculations or evaluations:
|
| 500 (%) | A1 | CAO Answer space completing the statement takes precedence Accept equivalents 0.5 × 103 or 5 × 102 Accept an unsupported correct answer or a correct answer from reverse calculations |