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O-LevelMathematicsAlgebra and graphs4024/12 · May/June 2019 · Q193 Marks

y is inversely proportional to the square of x. When x = 4, y = 10.

  1. (a)Find the value of y when x = 10.[2]
  2. (b)Describe the effect on y when x is halved.[1]

Mark scheme

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

  1. [2] (a) 1.6 oe
  2. [B1] for 'k' = 160 oe if y = k/x² used
  3. [M1] or for 10 × 4² = y × 10² oe
  4. [M1FT] or for y = (their k)/x² when y = "k"/x² used
  5. [1] (b) y is multiplied by 4

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source
O-Level Mathematics, May/June 2019 Paper 1 Variant 2, question 19.

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