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Straight lines: AQA A‑Level Maths questions

AQA A-Level Maths past-paper questions on C.1 Straight lines, 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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426 questions

  1. Q9

    June 2023 · Paper 1

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  2. Q8

    June 2022 · Paper 1

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  3. Q5

    November 2021 · Paper 1

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  4. Q6

    November 2020 · Paper 2

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  5. Q4

    June 2019 · Paper 1

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  6. Q7

    June 2018 · Paper 1

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  7. Q3

    June 2018 · Paper 3

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All 7 questions on Straight lines, as a list
  1. June 2023, Paper 1, Q9 (9 marks): The points P and Q have coordinates (−6, 15) and (12, 19) respectively. 9 (a) (i) Find the coordinates of the midpoint of PQ [1 mark] 9 (a) (ii) Find the equati
  2. June 2022, Paper 1, Q8 (11 marks): The lines L1 and L2 are parallel. L1 has equation 5x + 3y = 15 and L2 has equation 5x + 3y = 83 L1 intersects the y-axis at the point P. The point Q is the poin
  3. November 2021, Paper 1, Q5 (6 marks): The line L has equation 3y − 4x = 21 The point P has coordinates (15, 2) 5 (a) Find the equation of the line perpendicular to L which passes through P. [2 marks
  4. November 2020, Paper 2, Q6 (8 marks): The line L has equation 5y + 12x = 298 A circle, C, has centre (7, 9) L is a tangent to C. 6 (a) Find the coordinates of the point of intersection of L and C. F
  5. June 2019, Paper 1, Q4 (4 marks): The point A has coordinates (−1, a) and the point B has coordinates (3, b) The line AB has equation 5x + 4y = 17 Find the equation of the perpendicular bisector
  6. June 2018, Paper 1, Q7 (8 marks): Three points A, B and C have coordinates A (8, 17), B (15, 10) and C (−2, −7) 7 (a) Show that angle ABC is a right angle. [3 marks] 7 (b) A, B and C lie on a ci
  7. June 2018, Paper 3, Q3 (1 mark): The line L has equation 2x + 3y = 7 Which one of the following is perpendicular to L? Tick one box. [1 mark] 2x − 3y = 7 3x + 2y = −7 2x + 3y = −1 7 3x − 2y = 7

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