Higher November 2022 Paper 3 Q25
25 Two sides of a triangle are measured to 1 decimal place.
The angle between the sides is measured to the nearest degree.
Work out the upper bound for the area of the triangle.
You must show your working. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| 7.15 or 7.25 or 13.55 or 13.65 or 109.5 or 110.5 | B1 | |
| 7.25 and 13.65 and 109.5 chosen | B1 | |
| \(0.5 \times\) their \(7.25 \times\) their \(13.65 \times \sin\) their 109.5 | M1 | their 7.25 must be [7.2, 7.25] their 13.65 must be [13.6, 13.65] their 109.5 must be [109.5, 110] or 110.5 |
| 46.6(4…) with correct bounds seen | A1ft | condone 47 with B1B1 scored ft their three bounds within M1 ranges which are not 7.2 or 13.6 or 110 |
Additional guidance
| Accept \(7.24\dot{9}\) for 7.25 or \(13.64\dot{9}\) for 13.65 or \(110.4\dot{9}\) for 110.5 | |
| 7.25 and 13.65 and 110.5 used and answer 46.3… | B1B0M1A1ft |
| 7.25 and 13.65 and 110 used and answer 46.497… or 46.5 | B1B0M1A0ft |
| 7.2 and 13.6 and 110 used, with or without answer 46(.0…) | B0B0M1A0ft |
| 46.6(4…) or 47 with no working | B0B0M0A0 |