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Numeracy Foundation June 2019 Unit 2 Q3

WJECFoundationCurrent spec7 marks2D Area & PerimeterCircles & SectorsConstructions

3. Mr Owen wants to tidy up his garden.

(a)

The shape below is the outline of Mr Owen’s garden drawn to scale on a square grid.
The scale of the drawing is 1 cm represents 1 m.

Scale: 1 cm represents 1 m

Outline of Mr Owen’s garden drawn on a square grid of 1 cm squares

Mr Owen pays a gardener £12.50 per m2 to prepare the garden.
Calculate how much Mr Owen pays the gardener. [4]

Mr Owen pays the gardener £ ……………

(b)

Mr Owen wants a circular patio in his garden.
The radius of the patio is 3 m.
P is the centre of the patio.

Using a pair of compasses, draw the patio on the scale drawing of the garden below. [2]

Scale: 1 cm represents 1 m

Scale drawing of the outline of the garden with the point P marked inside

On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.

(c)

What is the diameter of the patio?
Circle your answer. [1]

1·5 m     12 m     3 m     6 m     9 m