Foundation June 2022 Paper 2 Q10
10 The diagram shows Kai’s garden.
It is in the shape of a right-angled triangle.
Not to scale
Kai is going to spread grass seed on the garden.
- A bag of grass seed covers an area of 35 m\(^2\).
- Each bag of grass seed costs £8.99.
Kai can only buy whole bags of grass seed.
Kai buys the least number of bags needed for the garden.
Calculate the cost of buying the bags of grass seed that Kai needs.
You must show your working. [6]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 44.95 with correct working | 6 | correct working requires evidence of at least M1M1 | |
| M1 for \(\dfrac{1}{2} \times 20 \times 15\) oe A1 for 150 | 150 implies M1A1 | ||
| M1 for their area \(\div\) 35 soi by 4.2... to 4.3 or repeated addition of 35 to at least 140 or to the multiple of 35 below their area oe A1FT for [number of bags =] 5 or their area \(\div\) 35 rounded up to an integer | From an area, not a perimeter or length Allow 1 arithmetic slip in their list May be implied by their final calculation of cost | ||
| M1 for \(k \times 8.99\) A1FT for 44.95 or \(k \times 8.99\) evaluated correctly If 0 or M1 scored, instead award SC2 for answer 44.95 with no or insufficient working. | Where \(k\) is an integer but not \(k = 1\) or 10 Mark the calculation that leads to their final answer | ||