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O-LevelMathematicsAlgebra and graphs4024/11 · May/June 2021 · Q204 Marks

The line 2y = x is drawn on the grid. [Figure 20]

  1. (a)(i)On the grid, draw the graph of y = 2,[1]
  2. (a)(ii)y+x = 4.[1]
  3. (b)On the grid, shade and label the region R, defined by the following inequalities. x+y≤4 2y ≥ x y≤2 x ≥ 0[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.

  1. [1] (a)(i) y = 2 ruled correctly
  2. [1] (a)(ii) y + x = 4 ruled correctly
  3. [2] (b) Correct region shaded
  4. B1 for region satisfying 3 of the inequalities

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, May/June 2021 Paper 1 Variant 1, question 20.

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