plumiSine and cosine rules: AQA GCSE Maths questions
Every AQA GCSE Maths exam question on G22 Sine and cosine rules, 2017–2025, with its mark scheme and examiner’s report.
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All 21 questions on Sine and cosine rules, as a list
- June 2025, Paper 2H, Q18 (4 marks): Lines AB, BC, CD and AD form two triangles. Not drawn accurately Work out the length of AD. Answer cm
- June 2025, Paper 3H, Q17 (2 marks): Not drawn accurately Use the sine rule to work out x. x = cm
- November 2024, Paper 3H, Q19 (3 marks): Not drawn accurately Use the sine rule to work out length x. You must show your working. x = cm
- June 2024, Paper 3H, Q18 (4 marks): Here is triangle A. Not drawn accurately 18 (a) Use the sine rule to show that x = 64° to the nearest degree. 18 (b) Here is triangle B. Anna thinks that w must
- November 2023, Paper 3H, Q24 (4 marks): Work out the area of triangle ABC. Not drawn accurately Answer cm2
- June 2023, Paper 3H, Q23 (6 marks): Not drawn accurately A boat sails 35 km North from A to B. From B the boat sails to C and then back to A. 23 (a) Show that the distance the boat sails from C to
- November 2022, Paper 2H, Q24 (5 marks): B is 60 miles from A on a bearing of 170° A ship sails from A on a bearing of 247° It travels at a constant speed of 23 mph for 1 2 1 hours. Is the ship now clo
- November 2022, Paper 2H, Q28 (2 marks): ABCDEF is a triangular prism. P is a point on EF. EB = 29 cm Angle EBP = 35° Angle EPB = 114° Work out the length of EP. Answer cm
- June 2022, Paper 3H, Q21 (3 marks): Use the sine rule to work out the size of angle x. x = °
- November 2021, Paper 1H, Q18 (2 marks): (a) Here is a triangle. Give a reason why the length of side AB cannot be 35 m Not drawn accurately 18 (b) Here is a different triangle. Not drawn accurately Le
- November 2021, Paper 2H, Q23 (4 marks): A ship sails from P to Q and then from Q to R. Q is 12 miles from P, on a bearing of 080° R is 28 miles from Q, on a bearing of 155° Work out the direct distanc
- November 2020, Paper 3H, Q29 (5 marks): A shape is made by joining triangle ABC to a semicircle with diameter AC. Not drawn accurately Work out the total area of the shape. Answer cm2
- November 2019, Paper 3H, Q26 (8 marks): Here is a triangular sail. Not drawn accurately 26 (a) Vicky needs to buy waterproofing liquid for the sail. She will put 3 coats of liquid on each side of the
- June 2019, Paper 2H, Q16 (4 marks): ABC and ACD are triangles. The area of ACD is 80.5 cm2 Work out the area of ABC. Give your answer to 3 significant figures. Not drawn accurately Answer cm2
- June 2019, Paper 3H, Q27 (5 marks): In this question, all lengths are in centimetres. A is a point on a circle, centre O. B is a point on a different circle, centre O. AB = 20 The equation of the
- November 2018, Paper 1H, Q26 (5 marks): The area of this triangle is 25 3 cm2 Work out the value of w. Give your answer in the form a b where a and b are integers greater than 1 Not drawn accurately A
- June 2018, Paper 1H, Q17 (1 mark): Here is a triangle. Not drawn accurately Circle the correct equation. 42 sin x = 104 15º sin sin 42º x = 104º sin 15 34 sin x = 104 15º sin 42º sin x = 34º sin
- November 2017, Paper 3H, Q22 (3 marks): Here is a triangle. Work out the length PR. Not drawn accurately Answer cm
- June 2017, Paper 2H, Q20 (3 marks): Work out the size of angle x. Not drawn accurately Answer degrees
- June 2017, Paper 2H, Q25 (5 marks): The diagram shows a logo. ABE and DCE are congruent triangles. BCE is a sector of a circle, centre E. Not drawn accurately Show that the area of the logo is 510
- Specimen, Paper 3H, Q20 (3 marks): In the triangle, angle y is obtuse. Work out the size of angle y. Not drawn accurately 34° y 16 cm 10 cm Answer degrees
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