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O-LevelMathematicsAlgebra and graphs4024/11 · Oct/Nov 2010 · Q234 Marks

Look at this pattern. 2² – 0² = 4×1 3² – 1² = 4×2 4² – 2² = 4×3 5² – 3² = 4×4

  1. (a)Write down the 7th line of the pattern.[1]
  2. (b)Write down the nth line of the pattern.[1]
  3. (c)Use the pattern to find 521² – 519² .[1]
  4. (d)Use the pattern to find the positive integers x and y such that x² – y² = 484 .[1]

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, Oct/Nov 2010 Paper 1 Variant 1, question 23.

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