plumiSigma notation: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 4.4 Sigma notation, 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 8 questions on Sigma notation, as a list
- June 2025, Paper 1, Q3 (4 marks): (a) Evaluate 4 =/ 1 r r 1 giving your answer as a fraction in its lowest terms. [1] (b) Write the sum 1 + + + + in a similar way to the series in part (a). 3 5
- June 2023, Paper 3, Q11 (3 marks): =/ 2 11 (a) Evaluate r . [1] r 1 (b) Show that Euler’s approximate formula, as given in line 13, gives the exact value of 5 =/ 2 r . [2] r 1
- June 2023, Paper 3, Q12 (3 marks): With the aid of a suitable diagram, show that the three triangles referred to in line 26 have the areas given in line 27. [3]
- June 2023, Paper 3, Q13 (4 marks): n =/ 2 13 Prove that Euler’s approximate formula, as given in line 13, when applied to r gives exactly r 1 n n ( 1 2 )( n 1 ) + + . [4] 6 n
- June 2023, Paper 3, Q14 (3 marks): =/ 1 13 6 n 5 + 14 Show that the expression given in line 33 simplifies to ln n , as given in . + + r 24 12 n n ( 1 ) + r 1 line 34. [3] 6
- June 2023, Paper 3, Q15 (2 marks): =/ . 1 15 The expression given in line 34 is used to calculate r r 1 Show that the error in the result is less than 1.5% of the true value. [2]
- November 2021, Paper 3, Q6 (4 marks): In this question you must show detailed reasoning. 3 1 =/ Show that 1 . [4] = r r 1 + + r 1
- November 2020, Paper 3, Q1 (2 marks): =/ r 1 Find the value of 2 ( r 1 ) . [2] - r 1
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