O-LevelMathematicsAlgebra and graphs4024/11 · Oct/Nov 2014 · Q164 Marks

On the grid above, draw the graph of x+y=6.

(a)On the grid above, draw the graph of x+y=6.[1]
(b)On the grid above, draw the graph of 2y + x = 4.[1]
(c)On the grid above, shade and label the region R, defined by the following inequalities. x+y≤6 2y + x ≥ 4 y≥ 2 x ≥-1[2]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2014). The mark or mark type is shown in brackets.

[1] (a) x + y = 6 drawn correctly
[1] (b) 2y + x = 4 drawn correctly
[2] (c) Correct region shaded, (FT for sloping lines with one correct line).
B1 for R correctly bordered by the lines y = 2 and x = -1; or FT appropriate shading between their sloping lines, provided one is correct

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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 2014 Paper 1 Variant 1, question 16.

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