O-LevelMathematicsTrigonometry4024/22 · Oct/Nov 2016 · Q48 Marks
In the framework ABCD, BD = 3m. BDA = 27°, BCD = 41°. DBC and DÂB are right angles. [Figure showing a quadrilateral ABCD with given angles and side length BD=3]
- (a)(i)Find AD.[2]
- (a)(ii)Find CD.[3]
- (b)In triangle PQR, PQ = 3 m and QR = 5 m. The area of triangle PQR = 6m². Find the two possible values of PQR.[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2016). The mark or mark type is shown in brackets.
- [2] 2.67
- [1] M1 AD/3 = cos 27 oe
- [3] 4.57
- [2] M2 for CD = 3/sin 41 oe or
- [1] M1 for 3/CD = sin 41 oe
- [3] 53.1 and 126.9
- [1] M1 for 1/2 × 3 × 5 × sin PQR = 6 oe and
- [1] A1 for 53.1 or
- [1] SC1 for supplementary angles from sin PQR = k.
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →