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O-LevelMathematicsCoordinate geometry4024/11 · Oct/Nov 2017 · Q214 Marks

The diagram shows the triangle ABC formed by the lines y = 6, x = 23 and y = x/3. [Figure 21]

  1. (a)Find the coordinates of A.[1]
  2. (b)The region inside the triangle is defined by three inequalities. One of these is x < 23. Write down the other two inequalities.[1]
  3. (c)The point P (h, k), where h and k are integers, lies inside triangle ABC. Find the values of h and k.[2]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.

  1. [1] (18,6)
  2. [1] Both y > 6 and y < x/3
  3. [2] C1 for one correct
  4. [2] h = 22 and k = 7

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About this question

Topic
Coordinate geometry, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, Oct/Nov 2017 Paper 1 Variant 1, question 21.

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