Foundation November 2022 Paper 1 Q5
5. Matt has 120 music albums.
\(\dfrac{3}{5}\) of his albums are CDs.
15% of his albums are vinyl records.
The rest of his albums are digital downloads.
How many of Matt’s albums are digital downloads? [5]
| Scheme | Marks | Comments |
|---|---|---|
| (Number of CDs =) \(120 \div 5 \times 3\) oe | M1 | |
| 72 | A1 | |
| (Number of Vinyl=) \(\frac{15}{100} \times 120\) oe | M1 | Must be a complete method which would lead to the correct answer. |
| 18 | A1 | |
| (Number of digital downloads = 120 – 72 – 18 =) 30 | B1 | FT providing at least M1 M1 previously awarded and their ‘72 + 18’ < 120 |
| (5) |
Alternative
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{3}{5} = \dfrac{60}{100}\) or \(\frac{3}{5} \times 100\) | M1 | |
| (Percentage of albums that are CDs =) 60% | A1 | |
| (Percentage of albums that are digital downloads = 100 – 60 – 15 =) 25% | B1 | FT ‘their 60%’ provided unambiguously stated. |
| \(\frac{25}{100} \times 120\) or \(120 \div 4\) oe | M1 | FT ‘their 25%’ provided not 50%. |
| 30 | A1 | FT |