Numeracy Foundation June 2019 Unit 2 Q3
3. Mr Owen wants to tidy up his garden.
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

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 £ ……………
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

On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.
What is the diameter of the patio?
Circle your answer. [1]
1·5 m 12 m 3 m 6 m 9 m
| Scheme | Marks | Comments | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Evidence of counting area Area in range 64 to 71 (cm2 or m2) | M1 A1 | Look at diagram | ||||||||
| Area × (£)12.50 Answer in range (£)800(.00) – (£)887.5(0) | M1 A1 | F.T ‘their area’ × (£)12.50 If units are given than they must be correct.
|
| Scheme | Marks | Comments |
|---|---|---|
| Circle with radius 3cm centred at P OVERLAY | B2 | Allow radius ± 2mm B1 for circle of radius of 3cm not centred at P B1 for circle of diameter of 3cm centred at P B1 for partially completed circle within the tolerance ‘Freehand circle’ B0 unless within the tolerance on the overlay |
| Scheme | Marks | Comments |
|---|---|---|
| 6m | B1 |