Higher November 2020 Paper 1 Q8
8 The shorter side of a parallelogram has length 6.5 cm
Not drawn accurately
The length of the shorter side is \(\dfrac{1}{9}\) of the perimeter.
Work out the length of the longer side. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(6.5 \times 9\) or 58.5 or \(6.5 \times 7\) or 45.5 | M1 | oe |
| \(\dfrac{6.5 \times 9 - 2 \times 6.5}{2}\) or \(\dfrac{58.5 - 13}{2}\) or \(\dfrac{6.5 \times 7}{2}\) or \(\dfrac{45.5}{2}\) | M1dep | oe division may be implied eg \(\dfrac{7}{9} = 45.5\), \(\dfrac{3.5}{9} = 22.25\) scores M1M1 |
| 22.75 or \(\dfrac{91}{4}\) or \(22\dfrac{3}{4}\) | A1 | oe |
| Alternative method 2 | ||
| \(6.5 \times 9\) or 58.5 or \(6.5 \times 4.5\) or 29.25 | M1 | oe |
| \(\dfrac{6.5 \times 9}{2} - 6.5\) or \(6.5 \times 4.5 - 6.5\) | M1dep | oe eg \(6.5 \times (4.5 - 1)\) or \(6.5 \times 3.5\) |
| 22.75 or \(\dfrac{91}{4}\) or \(22\dfrac{3}{4}\) | A1 | oe |
Additional guidance
| Answer 22.8 or 23 with 22.75 in working | M1M1A1 |
| Answer 22.8 or 23 without 22.75 in working | A0 |