Foundation June 2017 Paper 1 Q18
18 Balena has a garden in the shape of a circle of radius 10 m.
He is going to cover the garden with grass seed to make a lawn.
Grass seed is sold in boxes.
Each box of grass seed will cover 46 m2 of garden.
Balena wants to cover all the garden with grass seed.
(a) Work out an estimate for the number of boxes of grass seed Balena needs.
You must show your working. (4)
You must show your working. (4)
(b) Is your estimate for part (a) an underestimate or an overestimate?
Give a reason for your answer. (1)
Give a reason for your answer. (1)
| Answer | Mark | Notes |
|---|---|---|
| 6 to 8 | M1 | evidence of recall of area formula with correct radius e.g. \(\pi \times 10^2\) |
| M1 | calculation to find number of boxes, (area) \(\div\) (coverage figure) | |
| M1 | (indep) evidence of estimation, eg \(\pi\) in range 3 to 3.2, or coverage figure of 40, 42, 45, 48 or 50 | |
| A1 | (dep on M3) answer in the range 6 to 8 |
| Answer | Mark | Notes |
|---|---|---|
| underestimate | C1 | e.g. (ft from (a)) underestimate: true area greater so could need more boxes. Must relate to estimation, not rounding of answer. |