Higher June 2019 Paper 5 Q2
2
(a) Simplify fully.\[\frac{3a^8 \times 2a^5}{a^2}\]
[3]
(b) Solve.\[\frac{6x - 10}{5} = 1\]
[3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(6a^{11}\) | 3 | B2 for answer \(ka^{11}\) or \(\dfrac{6a^{13}}{a^2}\) or \(6 \times a^6 \times a^5\) or \(6 \times a^8 \times a^3\) shown in working OR B1 for answer \(6a^k\) or \(ka^{13}\) or for \(3a^8 \times 2a^3\) or \(3a^6 \times 2a^5\) shown in working | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 2.5 or \(2\frac{1}{2}\) or \(\frac{5}{2}\) | 3 | M1 for correct first step e.g. \(6x - 10 = 5\) | Do not accept \(\frac{15}{6}\) as final answer but allow to imply M1M1 Embedded answer scores M2 max |
| M1 for \(6x = 5 + 10\) FT their first step or for FT their \(ax = b\) to \(x = \dfrac{b}{a}\) | where \(\frac{b}{a}\) is a simplified fraction (improper or mixed number) or an integer e.g. M1 for \(6x = 1\) leading to \(x = \frac{1}{6}\) | ||