Higher November 2020 Paper 4 Q10
10 The diagram shows Jane’s lawn.
It is in the shape of a square of side 36 m and three semi-circles.
Not to scale
She is going to spread fertiliser on the lawn at a rate of 30 g per square metre.
The fertiliser is only sold in 10 kg bags costing £15.80 each.
Calculate the cost of buying the bags of fertiliser for her lawn.
You must show all your working. [6]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 142.2[0] with correct working | 6 | M1 for 362 or 1296 M1 for k ×π × 182 oe where k = ½, 1, 1½ or 3 AND M1 for their area × 30 M1 for their mass ÷ 1000 and ÷ 10 or counting up in 10 000s to their mass AND M1 for their 9 × 15.8 If 0, 1 or 2 scored instead award SC3 for answer of 142.2[0] with insufficient working If 0 or 1 scored instead award SC2 for 2822 to 2823.02 If 0 scored award SC1 for 1526 to 1527.02, 1017 to 1018.008, 508 to 509.004, 3051 to 3054.024, 162π, 324π, 486π rot to at least nearest integer | Correct working requires M1 AND M1 AND M1 M2 implied by 2822 to 2823.02 or M1 implied by 1526 to 1527.02, 1017 to 1018.008, 508 to 509.004, 3051 to 3054.024, 162π, 324π, 486π rot to at least nearest integer their area cannot be 36 and M1 implied by 84660 to 84 690.6 or 84.66 to 84.7 their mass is attempt at (rectangle and circle(s)) × 30, M1 implied by 8.46 to 8.47 their 9 dep. on fourth M1 scored with a rounding up to next integer |