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O-LevelMathematicsAlgebra and graphs4024/21 · Oct/Nov 2025 · Q105 Marks

Here are the first four patterns in a sequence using dots. [Figure showing 4 patterns of dots] Pattern 1 Pattern 2 Pattern 3 Pattern 4

  1. (a)Complete the table. [Table with Pattern number 1, 2, 3, 4, 5 and Number of dots 5, 9, 13][1]
  2. (b)Find an expression for the number of dots in Pattern n.[2]
  3. (c)Nada needs 1105 dots to make Pattern p. Find the value of p.[2]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.

  1. 10(a) 17 and 21 [1]
  2. 10(b) 4n + 1 oe final answer [2] B1 for answer 4n + k oe or answer jn + 1 oe j ≠ 0 or for 4n + 1 oe seen
  3. 10(c) 276 [2] M1 for their (4p + 1) = 1105 soi

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 5 marks.
Source
O-Level Mathematics, Oct/Nov 2025 Paper 2 Variant 1, question 10.

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