Higher January 2020 Paper 1R Q5
5 The diagram shows Yuen’s garden.
Diagram NOT accurately drawn
The garden is in the shape of a semicircle of radius 7.2 m.
Yuen is going to cover his garden with grass seed.
Yuen has 12 boxes of grass seed.
Each box of grass seed contains enough seed to cover 6 m² of the garden.
Has Yuen enough grass seed for his garden?
Show your working clearly.
(3)
| Scheme | Marks |
|---|---|
| \(\pi \times 7.2^2 \div 2\) (= 81.4…) | M1 |
| “81.4” ÷ 6 (= 13.5…) or 12 × 6 (= 72) or “81.4” ÷ 12 (= 6.7…) | M1 |
| No with correct figures | A1 |
| (3) | |
| (3 marks) |
Notes
M1: allow 81.3 – 81.5 for area of semi circle
M1: (dep) allow 13.5 – 13.6 for the number of boxes needed
(NB: 12 × 6 = 72 alone is 0 marks)