Higher June 2022 Paper 3 Q5
5 Laura works in a shop.
The table shows the number of hours she works on two weekends.
| Saturday | Sunday | |
|---|---|---|
| Weekend 1 | 3 | 2 |
| Weekend 2 | \(5\dfrac{1}{2}\) | \(3\dfrac{1}{2}\) |
Work out the percentage increase in her total hours from Weekend 1 to Weekend 2 [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(3 + 2\) or 5 and \(5\dfrac{1}{2} + 3\dfrac{1}{2}\) or 9 or \(5\dfrac{1}{2} - 3\) or \(2\dfrac{1}{2}\) and \(3\dfrac{1}{2} - 2\) or \(1\dfrac{1}{2}\) or 4 | M1 | oe eg \(180 + 120\) or 300 and \(330 + 210\) or 540 implied by \(5\dfrac{1}{2} + 3\dfrac{1}{2} - 3 - 2\) |
| \(\dfrac{9 - 5}{5}\) or \(\dfrac{2\frac{1}{2} + 1\frac{1}{2}}{3 + 2}\) or \(\dfrac{4}{5}\) or 0.8 or \(\dfrac{5\frac{1}{2} + 3\frac{1}{2}}{3 + 2}\) (\(\times\) 100) or \(\dfrac{9}{5}\) (\(\times\) 100) or 1.8 (\(\times\) 100) or 180 | M1dep | oe eg \(\dfrac{5\frac{1}{2} + 3\frac{1}{2} - 3 - 2}{3 + 2}\) eg \(\dfrac{540 - 300}{300}\) or \(\dfrac{240}{300}\) or \(1.8 - 1\) |
| 80 | A1 |
Additional guidance
| Allow working fully in minutes but units must be consistent in a single calculation | |
| eg 2 h 30 and 1 h 30 | M1 |
| eg \(3 + 2 = 5\) and \(330 + 210 = 540\) | M1 |
| eg \(3 + 120\) and \(330 + 3\dfrac{1}{2}\) unless recovered | M0 |
| \(3 + 2 = 6,\ 5\dfrac{1}{2} + 3\dfrac{1}{2} = 9,\ 9 - 6 = 3,\ 3 = 50\%\) | M1M1A0 |
| \(3 + 2 = 6,\ 5\dfrac{1}{2} + 3\dfrac{1}{2} = 9\), answer 50% (3 is implied) | M1M1A0 |
| \(9 - 6 = 3,\ 3 = 50\%\) (no method shown for 6) | M0M0A0 |