Higher November 2019 Paper 1 Q10
10.
Diagram not drawn to scale
The diagram shows a garden which has:
- an L shaped area of grass,
- a rectangular flowerbed and pond,
- a square compost heap.
The length of each side of the compost heap is \(1{\cdot}2\) m.
The ratio of the length of the compost heap to the length of the hedge is 2 : 11.
The length of the gate is 2 m.
The length of the gate is \(\frac{1}{4}\) of the length of the pond.
The area of the pond is 28 m2.
The perimeter of the flowerbed is the same as the perimeter of the pond.
Find the area of the grass. [6]
| Scheme | Marks | Comments |
|---|---|---|
| (length of hedge = \(11 \times 1.2 \div 2\) =) 6.6 (m) or (width of garden = \(13 \times 1.2 \div 2\) =) 7.8 (m) | B1 | Check diagram for either |
| (pond is) 8 (m) by 3.5 (m) | B2 | B1 for use of 28 and 8 in an attempt to calculate the width of the pond. |
| (flowerbed is) 10 (m) by 1.5 (m) | B1 | FT ‘their 8’ + 2 by ‘their 3.5’ – 2 |
| (area of grass = ) \(10 \times (6.6 + 1.2) - 10 \times 1.5 - 28\) or \(3.5 \times 2 + 10\,(6.6 + 1.2 - 1.5 - 3.5)\) or \((3.5 + 2.8) \times 2 + 8 \times 2.8\) oe | M1 | FT ‘their derived 10, 6.6, 7.8, 1.5 and 3.5’ |
| 35 (m2) | A1 | CAO |
| (6) |