Mathematics (Syllabus D) 4024/22 — May/June 2012

Cambridge O-Level · Calculator · worked solutions for every part, with the mark scheme

questions

100

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150

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Topics Geometry · Algebra and Graphs · Mensuration · Number · Transformations and Vectors · Coordinate Geometry · +4 more

Q1GeometryAlgebra and GraphsCoordinate GeometryFree sample

Fig. 1

The diagram shows a shaded region $R$ .

(a)

Write down the name of the shaded polygon.

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(b)

Three of the inequalities that define the region $R$ are $x \geq 0$ , $y \geq 0$ and $y \leq x + 2$ .

Write down the other two inequalities that define this region.

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(c)

On the diagram draw the line that is parallel to $y = x + 2$ and passes through the point $(5, 0)$ .

(d)

Find the gradient of the line that is perpendicular to $y = x + 2$ .

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