Sequences: past paper questions

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• Question 21May/June 2026, paper 12Structured6 marksHas a diagram

  These are the first four diagrams in a sequence. The diagrams are made using grey squares and white squares. Draw diagram 5 on the grid.

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• Question 7Oct/Nov 2025, paper 11Structured2 marks

  These are the first four terms of a sequence. 9 5 1 -3 Find the next term.

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• Question 10Oct/Nov 2024, paper 11Structured3 marks

  These are the first four terms of a sequence. $$\begin{array}{cccc}10& 16& 22& 28\end{array}$$ Write down the next term in the sequence.

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• Question 3Oct/Nov 2023, paper 12Structured2 marks

  These are the first four terms in a sequence. $$\begin{array}{cccc}-3& 4& 11& 18\end{array}$$ Find the next term.

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• Question 6Oct/Nov 2024, paper 13Structured4 marks

  These are the first four terms of a sequence. 19 26 33 40 Find the next term.

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• Question 7Oct/Nov 2023, paper 33Structured8 marksHas a diagram

  These are the first four diagrams in a sequence. The diagrams are made using dots and lines. Complete the table.

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• Question 21Oct/Nov 2025, paper 13Structured6 marks

  These are the first four terms of a sequence. –6 1 8 15 Write down the next term.

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• Question 3Oct/Nov 2024, paper 32Structured8 marksHas a diagram

  A sequence of shapes is made with squares and triangles. On the grid, draw Shape 3.

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• Question 17May/June 2023, paper 11Structured4 marks

  The $n$th term of a sequence is $10-n^2$. Write down the first three terms of this sequence.

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• Question 8May/June 2026, paper 33Structured5 marks

  In this sequence the first term and the sixth term are missing. $$\dots \dots ,17,13,8,2,\dots \dots$$ Fill in the first term and the sixth term.

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• Question 18Oct/Nov 2025, paper 31Structured4 marks

  The $n$th term of a sequence is $n^2-4$. Find the first 3 terms of this sequence.

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• Question 12May/June 2024, paper 11Structured2 marks

  The table shows some information about two sequences. Complete the table.

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• Question 9May/June 2025, paper 11Structured5 marks

  These are the first four terms of a sequence. 33 26 19 12 Write down the term-to-term rule for this sequence.

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• Question 24May/June 2024, paper 11Structured2 marks

  These are the first five terms of a sequence. $$1118253239$$ Find an expression for the $n\text{th}$ term of the sequence.

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• Question 5May/June 2023, paper 33Structured14 marksHas a diagram

  The grid shows the first three diagrams in a sequence. Each diagram is made using sticks. On the grid, draw Diagram 4.

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• Question 5May/June 2025, paper 13Structured2 marks

  Find the next term in each sequence.

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• Question 13May/June 2025, paper 32Structured5 marks

  2, e, f, 20, … A linear sequence has a first term of 2 and a fourth term of 20. The term-to-term rule for this sequence is add $k$. Work out the values of $e$, $f$ and $k$.

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