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Exact trigonometric values: AQA Level 2 Further Maths questions

Every AQA Level 2 Further Maths exam question on 6.8 Exact trigonometric values, 2021–2025, with its mark scheme and examiner’s report.

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259 questions

  1. Q16

    June 2025 · Paper 1

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  2. Q12

    June 2023 · Paper 1

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  3. Q4

    June 2022 · Paper 1

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  4. Q17

    June 2022 · Paper 1

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  5. Q18

    June 2022 · Paper 1

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  6. Q15

    November 2021 · Paper 1

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  7. Q7

    Specimen · Paper 1

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All 7 questions on Exact trigonometric values, as a list
  1. June 2025, Paper 1, Q16 (3 marks): Work out the length AC. Give your answer in the form 2 a where a is an integer. Answer cm
  2. June 2023, Paper 1, Q12 (4 marks): (a) Write down the value of x for 0° ⩽ x ⩽ 360° when sin x = –1 x = 12 (b) Work out the values of y for 0° ⩽ y ⩽ 360° when √3 tan y = 1 Answer
  3. June 2022, Paper 1, Q4 (3 marks): (a) Circle the value of tan2 30° 1 4 1 3 1 2 3 4 4 (b) On the axes, sketch y = cos x for 0° ⩽ x ⩽ 360°
  4. June 2022, Paper 1, Q17 (6 marks): The point P lies on the circle x 2 + y 2 = 16 The line OP is at an angle of 60° to the positive x-axis. 17 (a) Show that the coordinates of point P are (2, 2√3)
  5. June 2022, Paper 1, Q18 (3 marks): In triangle RST RS : ST = 1 : 4 Work out the exact value of sin θ. Answer
  6. November 2021, Paper 1, Q15 (2 marks): Work out the value of x where 0° ⩽ x ⩽ 90° for which 3 tan2 x = 1 Answer
  7. Specimen, Paper 1, Q7 (3 marks): ABCD is a rhombus with side length 8 cm Angle ABC = 60o Work out the area of the rhombus. Give your answer in the form a b cm2 where a and b are integers. A C B

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