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Arithmetic sequences and series: AQA A‑Level Maths questions

AQA A-Level Maths past-paper questions on D.5 Arithmetic sequences and series, 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. Q6

    June 2025 · Paper 1

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  2. Q10

    June 2024 · Paper 1

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  4. Q9

    June 2022 · Paper 1

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  5. Q6

    November 2021 · Paper 1

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  6. Q10

    November 2020 · Paper 1

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  7. Q5

    June 2019 · Paper 1

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  8. Q9

    June 2018 · Paper 1

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All 8 questions on Arithmetic sequences and series, as a list
  1. June 2025, Paper 1, Q6 (2 marks): An arithmetic series has first term 3 and common difference –0.5 Find the sum of the first 250 terms. [2 marks]
  2. June 2024, Paper 1, Q10 (6 marks): (a) An arithmetic sequence has 300 terms. The first term of the sequence is –7 and the last term is 32 Find the sum of the 300 terms. [2 marks] 10 (b) A school
  3. June 2023, Paper 2, Q5 (7 marks): Ziad is training to become a long-distance swimmer. He trains every day by swimming lengths at his local pool. The length of the pool is 25 metres. Each day he
  4. June 2022, Paper 1, Q9 (9 marks): The first three terms of an arithmetic sequence are given by 2x + 5 5x + 1 6x + 7 9 (a) Show that x = 5 is the only value which gives an arithmetic sequence. [3
  5. November 2021, Paper 1, Q6 (7 marks): (a) The ninth term of an arithmetic series is 3 The sum of the first n terms of the series is Sn and S21 = 42 Find the first term and common difference of the s
  6. November 2020, Paper 1, Q10 (11 marks): (a) An arithmetic series is given by X 20 r=5 (4r + 1) 10 (a) (i) Write down the first term of the series. [1 mark] 10 (a) (ii) Write down the common difference
  7. June 2019, Paper 1, Q5 (7 marks): An arithmetic sequence has first term a and common difference d. The sum of the first 16 terms of the sequence is 260 5 (a) Show that 4a + 30d = 65 [2 marks] 5
  8. June 2018, Paper 1, Q9 (9 marks): An arithmetic sequence has first term a and common difference d. The sum of the first 36 terms of the sequence is equal to the square of the sum of the first 6

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