Higher June 2018 Paper 2 Q4
4.
(a) A bronze statue is made mainly from copper, with 12% tin and some nickel.
The quantity of nickel is \(\dfrac{1}{6}\) of the quantity of tin.
What is the ratio copper : tin : nickel in this statue?
Give your answer in its simplest form. [4]
The quantity of nickel is \(\dfrac{1}{6}\) of the quantity of tin.
What is the ratio copper : tin : nickel in this statue?
Give your answer in its simplest form. [4]
(b) A different statue in a museum is made from copper, tin and zinc in the ratio 65 : 14 : 9.
There are 27 kg of zinc in the statue.
The museum crane cannot lift more than \(\dfrac{1}{4}\) tonne.
Is it possible for this crane to lift this statue?
You must show all your working and give a reason for your answer. [3]
There are 27 kg of zinc in the statue.
The museum crane cannot lift more than \(\dfrac{1}{4}\) tonne.
Is it possible for this crane to lift this statue?
You must show all your working and give a reason for your answer. [3]
| Scheme | Marks | Comments |
|---|---|---|
| Nickel \((\tfrac16\times12 =)\ 2\)(%) | B1 | Accept sight of 0.02 or 2/100 |
| Copper \((100 - 12 - \tfrac16 12 =)\ 86\)(%) | B1 | FT ‘their \(\tfrac16 12\)’ Accept sight of 0.86 or 86/100 or equivalent |
| 43 : 6 : 1 | B2 | B1 for 86 : 12 : 2 or equivalent, or B1 for 1 : 6 : 43 or in other incorrect order FT ‘their \(\tfrac16 12\)’ for B1 only unless equivalent stage(s) of simplification possible |
| Scheme | Marks | Comments |
|---|---|---|
| \((65 + 14 + 9)\times27\div9\) \((= 88\times3)\) | M1 | |
| 264 (kg) | A1 | |
| Conclusion that it is not possible as 264 > 250, e.g. ‘No as 264kg is greater than ¼ tonne’ | E1 | FT provided M1 awarded for an appropriate conclusion Do not accept ¼ tonne as any amount other than correctly giving 250 kg, however it is not essential to state this conversion |
| (7) |