Numeracy Higher November 2020 Unit 2 Q5
5.
(a) In March 2014, there were an estimated 6 550 000 000 two pence coins in circulation.
Calculate the value of these 2p coins in pounds (£).
Give your answer in standard form.
You must show all your working. [3]
(b) The 2p coin is made from a mixture of metals.
It has a diameter of 25·9 mm and a thickness of 2·03 mm.
It has a diameter of 25·9 mm and a thickness of 2·03 mm.
The 2p coin can be considered to be a cylinder.
Calculate the volume of metal in a 2p coin. [3]
| Scheme | Marks | Comments |
|---|---|---|
| 6 550 000 000 × 0.02 or 6 550 000 000 ÷ 50 | M1 | |
(£) \(1.31 \times 10^{8}\) | A2 | A1 for (£)131 million or (£)131 000 000 or equivalent (e.g. \(131 \times 10^{6}\)) If no marks, award SC1 for sight of (£)\(1.31 \times 10^{10}\) (from 6 550 000 000 × 2) |
| Scheme | Marks | Comments |
|---|---|---|
| \(\pi \times (25.9 \div 2)^{2} \times 2.03\) | M2 | Allow M1 for sight of any of the following:
|
| Answer in the range 1068 (mm3) to 1070 (mm3) | A1 | CAO. ISW Accept an answer of 340.4(….)π |