plumiSine and cosine rules, area of a triangle: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 5.1 Sine and cosine rules, area of a triangle, 2010–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 11 questions on Sine and cosine rules, area of a triangle, as a list
- June 2025, Pure 2, Q4 (5 marks): A B C R D 13 cm 6.4 cm 8 cm Not to scale Figure 1 The shape ABCD, shown in Figure 1, consists of a triangle ABD containing a sector ABC of a circle with centre
- June 2025, AS Pure, Q3 (6 marks): Relative to a fixed origin O • the point A has coordinates (3, –8) • the point B is such that AB → = –5i + 2j (a) Find the exact value of ½OB →½ (3) (b) Find th
- June 2024, AS Pure, Q4 (5 marks): 140° (x + 3) cm x cm (x – 2) cm 30° A B C D Figure 1 Figure 1 shows a sketch of triangle ABD and triangle BCD Given that • ADC is a straight line • BD = (x + 3)
- June 2023, Pure 1, Q8 (10 marks): FRONT OF STAGE Diagram NOT accurately drawn A O G 27.6 m 2.3 rad D E F B C 15 m BACK OF STAGE Figure 1 Figure 1 shows the plan view of a stage. The plan view sh
- June 2023, AS Pure, Q3 (4 marks): North C A B Figure 1 Figure 1 is a sketch showing the position of three phone masts, A, B and C. The masts are identical and their bases are assumed to lie in t
- June 2022, AS Pure, Q4 (6 marks): A 60° θ° C B (x + 2) cm 7x cm (3x + 10) cm Figure 1 Figure 1 shows a sketch of triangle ABC with AB = (x + 2) cm, BC = (3x + 10) cm, AC = 7x cm, angle BAC = 60°
- November 2021, Pure 1, Q6 (5 marks): B C A Figure 1 Figure 1 shows a sketch of triangle ABC. Given that • AB → = −3i − 4j − 5k • BC → = i + j + 4k (a) find AC → (2) (b) show that cos ABC = 9 10 (3)
- November 2021, AS Pure, Q7 (5 marks): A parallelogram PQRS has area 50 cm 2 Given • PQ has length 14 cm • QR has length 7 cm • angle SPQ is obtuse find (a) the size of angle SPQ, in degrees, to 2 de
- November 2020, AS Pure, Q5 (6 marks): Not to scale A B C D 27° Figure 1 Figure 1 shows the design for a structure used to support a roof. The structure consists of four steel beams, AB, BD, BC and A
- June 2019, AS Pure, Q6 (6 marks): A 3x cm 2x cm 60q B C Figure 1 Figure 1 shows a sketch of a triangle ABC with AB = 3x cm, AC = 2x cm and angle CAB = 60q Given that the area of triangle ABC is
- June 2019, AS Pure, Q16 (5 marks): (i) Two non-zero vectors, a and b, are such that µa + b µ= µ a µ+ µ b µ Explain, geometrically, the significance of this statement. (1) (ii) Two different ve
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