Sine and cosine rules, area of a triangle: OCR MEI A‑Level Maths questions

OCR MEI 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.

All 16 questions on Sine and cosine rules, area of a triangle, as a list

June 2025, Paper 2, Q3 (2 marks): The diagram shows triangle ABC. C Not to scale A B AB = 4.7 cm, AC = 6.9 cm and BC = 11.2 cm. Find the size of angle CAB. Give your answer correct to 3 signific
June 2025, AS Paper 1, Q2 (2 marks): Triangle ABC is shown in the diagram. The length of AC is 2p cm and the length of BC is 3p cm, where p is a positive constant. The angle ABC is 25°. C 3p cm 2pc
June 2025, AS Paper 2, Q2 (2 marks): Triangle LMS is shown in the diagram. M 5.9cm 112° S L 16.2cm LS = 16.2 cm, LM = 5.9 cm and angle MLS = 112°. Determine the area of triangle LMS. [2]
June 2024, AS Paper 1, Q1 (2 marks): The triangle ABC has an obtuse angle at A. The angle at B is 15°. The length of AC is 10 cm and the length of BC is 13 cm. Calculate the size of the angle at A.
June 2024, AS Paper 1, Q4 (4 marks): The perpendicular lines AC and BD intersect at E as shown in the diagram. The point E is the midpoint of AC. The angles BAC and BDC are each equal to x°. The le
June 2023, Paper 3, Q8 (7 marks): A circle with centre A and radius 8 cm and a circle with centre C and radius 12 cm intersect at points B and D. 2. Quadrilateral ABCD has area 60 cm Determine t
June 2023, AS Paper 2, Q10 (5 marks): In this question you must show detailed reasoning. The diagram shows triangle ABC, where AB = .3 9 cm, BC = .4 5 cm and AC = .3 5 cm. A 3.5cm 3.9cm C 4.5 cm B D
June 2022, Paper 1, Q10 (8 marks): A triangle ABC is made from two thin rods hinged together at A and a piece of elastic which joins B and C. AB is a 30 cm rod and AC is a 15 cm rod. The angle BA
June 2022, AS Paper 1, Q10 (9 marks): A triangle has vertices A ( , ), 1 4 B ( , ) 7 0 and C - ( 4 , 1 ). - (a) Show that the equation of the line AC is y x 3 . [2] = + M is the midpoint of AB. The
November 2021, Paper 3, Q11 (5 marks): In this question you must show detailed reasoning. The diagram shows triangle ABC, with BC = 8 cm and angle BAC = 45°. The point D on AC is such that DC = 5 cm
November 2021, AS Paper 1, Q5 (5 marks): The diagram shows the triangle ABC in which AC 13 cm and AB is the shortest side. The = 4 perimeter of the triangle is 32 cm. The area is 24cm2 and sinB . = 5 A
November 2020, Paper 2, Q1 (2 marks): Fig. 1 shows triangle ABC. C 22.1 m 133° A B 18.0 m Fig. 1 Calculate the area of triangle ABC, giving your answer correct to 3 significant figures. [2]
November 2020, AS Paper 1, Q2 (4 marks): Fig. 2 shows a quadrilateral ABCD. The lengths AB and BC are 5 cm and 6 cm respectively. The angles ABC, ACD and DAC are 60°, 60° and 75° respectively. D A 75°
June 2019, AS Paper 1, Q4 (5 marks): A triangle ABC has sides AB = 5 cm, AC = 9 cm and BC = 10 cm. (a) Find the cosine of angle BAC, giving your answer as a fraction in its lowest terms. [2] (b) Fi
June 2019, AS Paper 2, Q2 (2 marks): Fig. 2 shows a triangle with one angle of 117° given. The lengths are given in centimetres. 117° 14 8 19 Fig. 2 [2] Calculate the area of the triangle, giving y
June 2018, Paper 3, Q1 (3 marks): Triangle ABC is shown in Fig. 1. A 14cm 85° C 32cm B Fig. 1 Find the perimeter of triangle ABC. [3]

Questions, mark schemes and examiner’s reports are © OCR, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? OCR MEI A-Level Maths past papers.

The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.

560 questions