plumiSeries: standard sums: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 4.2 Series: standard sums, 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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All 7 questions on Series: standard sums, as a list
- June 2025, Pure Core 2, Q4 (4 marks): In this question you must show detailed reasoning. Determine the sum of all cube numbers from 216 to 512 000 inclusive. [4]
- June 2024, Pure Core 2, Q4 (5 marks): In this question you must show detailed reasoning. The series S is defined as being the sum of the squares of all positive odd integers from 12 to 7792. Determi
- June 2023, Pure Core 1, Q1 (3 marks): In this question you must show detailed reasoning. 50 =/ 2 Determine the value of r ( 16 r ) . [3] - r 1
- June 2022, Pure Core 2, Q4 (4 marks): In this question you must show detailed reasoning. 2 2 2 1 2 ... n + + + Determine the smallest value of n for which 2 341 . [4] n 1 2 ... + + +
- November 2021, Pure Core 2, Q4 (3 marks): In this question you must show detailed reasoning. 100 =/ 2 Determine the value of ( 2 r 3 ) . [3] + r 1
- November 2020, Pure Core 1, Q2 (3 marks): ^ h in terms of n. Give your answer in 2 2 2 2 2 Find an expression for 1 2 2 3 3 4 n n 1 + + + f + + # # # fully factorised form. [3] J N 1 0 0
- June 2019, Pure Core 1, Q4 (3 marks): ^ h n n 10 =/ and =/ 2 / 4 Using the formulae for r r , show that r 3 r 2 1045 . [3] - = r 1 r 1 r 1 =
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