A Level Further Mathematics 9231, topic 1.3

Summation of series: past paper questions

25 Cambridge A Level Further Mathematics 9231 questions on Summation of series (1.3) from 22 papers, 2023 to 2026. Open the paper or try a question free.

Practise this topic Try one question free

Practising builds a set from this topic, free with an account. One question opens straight away, with no account.

Questions: 25
Papers: 22
Years: 2023 to 2026
Total marks: 211
Average per question: 8.4 marks
Largest question: 13 marks

By type: Structured 25

How hard the questions are

Recall0
Apply11
Analyse14
Not banded0

Derived from the command word Cambridge prints in each question, banded by a fixed table beside the syllabus's own definitions. A question printing no command word is unbanded: unknown, not middling.

Command words

useApply20 questions
findApply13 questions
deduceAnalyse10 questions
conclude from available information
show thatApply7 questions
proveAnalyse4 questions
confirm the truth of the given statement using a chain of logical mathematical reasoning
stateRecall2 questions
express in clear terms

Where the questions come from

By year

20263
20258
20246
20238

By session

May/June15
Oct/Nov10

By paper

Paper 124
Paper 21

Questions on this topic

Showing 3 of 25, spread across the years. Open one to write your answer and have it marked.

Question 2May/June 2023, paper 11Structured8 marks
The cubic equation $x^{3} + 4 x^{2} + 6 x + 1 = 0$ has roots $α, β, γ$ . Find the value of $α^{2} + β^{2} + γ^{2}$ .
Try this question
Question 3May/June 2025, paper 13Structured9 marks
The quartic equation $x^{4} + 7 x^{2} + 3 x + 22 = 0$ has roots $α, β, γ, δ$ . Find the value of $α^{2} + β^{2} + γ^{2} + δ^{2}$ .
Try this question
Question 4May/June 2025, paper 13Structured8 marks
Let $w_{r} = r (r + 1) (r + 2) \dots (r + 9)$ . Show that $w_{r + 1} - w_{r} = 10 (r + 1) (r + 2) \dots (r + 9) .$
Try this question

More in Further Pure Mathematics 1 (for Paper 1)

All A Level Further Mathematics topics