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O-LevelMathematicsAlgebra and graphs4024/12 · May/June 2019 · Q226 Marks

Here are the first three patterns in a sequence made using dots and lines. [Figure of Pattern 1, Pattern 2, Pattern 3]

  1. (a)Complete the table for the first five patterns in this sequence. [Table with Pattern number, Number of dots, Number of lines][2]
  2. (b)Find an expression, in terms of n, for the number of lines in Pattern n.[2]
  3. (c)Anwar makes one of these patterns using 92 lines. Find the number of dots in Anwar's pattern.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.

  1. [2] (a) 9 12 15 12 17 22
  2. [B1] for one row correct
  3. [2] (b) 5n - 3 oe final answer
  4. [B1] for 5n + k oe seen
  5. [2] (c) 57
  6. [M1] for their (5n – 3) = 92
  7. [B1] or for n = 19 soi or for answer 19

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 6 marks.
Source
O-Level Mathematics, May/June 2019 Paper 1 Variant 2, question 22.

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