Numeracy Higher November 2018 Unit 2 Q5
5. Cycle frames are made from steel, aluminium or carbon fibre.
The table below gives the density of steel, aluminium and carbon fibre.
| Material | Density (g/cm3) |
|---|---|
| Steel | 7·8 |
| Aluminium | 2·7 |
| Carbon fibre | 1·6 |
Owain has a cycle frame made from aluminium.
His cycle frame has a mass of 9450 g.
(a) Calculate the volume of aluminium in Owain’s cycle frame.
Give your answer in cm3. [3]
Give your answer in cm3. [3]
Volume of aluminium in Owain’s cycle frame is …………… cm3
(b) Bethan has a cycle frame that is identical to Owain’s cycle frame.
However, her cycle frame is made from carbon fibre.
Calculate the mass of this frame.
Give your answer in grams. [3]
However, her cycle frame is made from carbon fibre.
Calculate the mass of this frame.
Give your answer in grams. [3]
Mass of this cycle frame is …………… g
| Scheme | Marks | Comments |
|---|---|---|
| (Volume =) 9450 ÷ 2.7 | M2 | M1 for \(\dfrac{9450}{\text{Volume}} = 2.7\) |
| 3500 (cm3) | A1 | CAO If no marks, award SC1 for an answer of either (steel 9450 ÷ 7.8 =) 1211(.5...cm3) or 1212 (cm3) or (carbon fibre 9450 ÷ 1.6 =) 5906(.25 cm3) |
| Scheme | Marks | Comments |
|---|---|---|
| (Mass =) 1.6 × 3500 or 1.6 × 9450 ÷ 2.7 | M2 | M1 for \(\dfrac{\text{Mass}}{3500} = 1.6\) FT ‘their 3500’ throughout provided ≠ 9450 |
| 5600 (g) | A1 | Do not allow a FT answer of 9450(g) |