plumiSine and cosine rules, area of a triangle: WJEC A‑Level Maths questions
WJEC A-Level Maths past-paper questions on 5.1 Sine and cosine rules, area of a triangle, 2018–2025, 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 6 questions on Sine and cosine rules, area of a triangle, as a list
- Summer 2025, AS Unit 1, Q7 (6 marks): The triangle ABC is such that AB = 20 3 cm, AC = 20 cm, and angle ABC = 30°. Find the two 7. possible exact values of the area of the triangle ABC. [6]
- Summer 2024, AS Unit 1, Q5 (4 marks): 5. A triangle ABC has sides AB = 6 cm, BC = 11 cm and AC = 13 cm. Calculate the area of the triangle. [4]
- Summer 2023, AS Unit 1, Q6 (7 marks): 6 The diagram below shows a triangle ABC. B A C $ 3, 2 5, 4 3 Given that , find the value of cosABC. Show all your AB BC AC working and give your answer
- Summer 2022, Unit 3, Q3 (4 marks): The diagram below shows a plan of the patio Eric wants to build. 0 3 4 m B A π 3 O C The walls OA and OC are perpendicular. The straight line AB is of length 4
- Summer 2019, AS Unit 1, Q14 (6 marks): 4 The diagram below shows a triangle ABC with AC = 5 cm, AB = x cm, BC = y cm and angle BAC = 120°. The area of the triangle ABC is 14 cm2. A 120° 5 cm x C y B
- Summer 2018, AS Unit 1, Q9 (5 marks): $ The triangle ABC is such that AC = 16 cm, AB = 25 cm and ABC = 32°. Find two possible 0 9 values for the area of the triangle ABC. [5]
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