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O-LevelMathematicsAlgebra and graphs4024/12 · Oct/Nov 2014 · Q113 Marks

The sequence of diagrams below shows small black and small white squares in an arrangement to form large squares. [Figure 11.1] Diagram 1 Diagram 2 Diagram 3 The table below shows the numbers of black and white squares in each diagram. Diagram (n) 1 2 3 4 Black squares 5 13 25 White squares 4 12 24 Total number of black and 9 25 49 white squares

  1. (a)For each diagram, how many more black squares are there than white squares?[1]
  2. (b)On the table, complete the column for Diagram 4.[1]
  3. (c)Write down an expression, in terms of n, for the total number of black and white squares in Diagram n.[1]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2014). The mark or mark type is shown in brackets.

  1. [1] (a) 1
  2. [1] (b) 41 40 81 (all three)
  3. [1] (c) (2n + 1)² oe

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source
O-Level Mathematics, Oct/Nov 2014 Paper 1 Variant 2, question 11.

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