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O-LevelMathematicsCoordinate geometry4024/11 · Oct/Nov 2019 · Q173 Marks

The diagram shows the lines x + y = 8, y = ½x, x = 0 and y = 0. The regions between the lines are labelled with letters. [Figure X.X - graph showing labelled regions A-J]

  1. (a)Write down the label of the region which is defined by these three inequalities. x + y < 8 y < ½x y > 0[1]
  2. (b)Write down all the inequalities which define region E.[2]

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Mark scheme

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

  1. [1] G
  2. [2] x + y > 8 and y > ½x and x > 0
  3. B1 for two of x + y > 8, y > ½x, x > 0 and up to 1 incorrect or for 3 correct and 1 incorrect

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About this question

Topic
Coordinate geometry, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source
O-Level Mathematics, Oct/Nov 2019 Paper 1 Variant 1, question 17.

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