plumiExact trigonometric values: AQA GCSE Maths questions
Every AQA GCSE Maths exam question on G21 Exact trigonometric values, 2017–2025, with its mark scheme and examiner’s report.
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All 12 questions on Exact trigonometric values, as a list
- June 2025, Paper 1H, Q18 (3 marks): Show that × sin 30 cos 45 tan 60 ° ° ° can be written in the form a b where a and b are integers.
- June 2024, Paper 1H, Q25 (4 marks): Show that the value of 6 sin 30° + 2 cos 30° × 4 tan 30° is an integer.
- November 2023, Paper 1H, Q20 (3 marks): x and y are acute angles. sin x = 2 3 tan y = 1 w = 3x – 2y Work out the value of cos w You must show your working. Answer
- June 2023, Paper 1H, Q25 (4 marks): Show that − o o o 4sin 30 tan 45 2 cos 30 can be written as tan x, where x is an acute angle.
- November 2022, Paper 1H, Q23 (4 marks): 4 × sin 30° × tan 30° × cos 30° = sin y Work out one possible value of y. You must show your working. Answer degrees
- June 2022, Paper 1H, Q28 (4 marks): Work out the value of (cos 30° × sin 45° × tan 60°)2 Answer
- November 2019, Paper 1H, Q29 (4 marks): Show that the value of 5 sin 30° × cos 30° × 8 tan 30° is an integer.
- June 2019, Paper 1H, Q27 (3 marks): Angle x is acute. cos x = sin 60° × tan 30° Work out the size of angle x. You must show your working. Answer degrees
- November 2018, Paper 1H, Q4 (1 mark): Circle the value of cos 30° 1 2 3 2 0 1
- June 2018, Paper 1H, Q30 (3 marks): Show that the value of cos 30° × tan 60° + sin 30° is an integer.
- June 2017, Paper 1H, Q29 (4 marks): Simplify o o o 60 tan 4 45 tan 45 sin 2 − Give your answer in the form c b a − where a, b and c are integers. Answer
- Specimen, Paper 1H, Q19 (3 marks): Show that 12 cos 30° 2 tan 60° can be written in the form k where k is an integer.
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