1MA0 Foundation June 2012 Paper 2 Q27
*27 Mr Weaver’s garden is in the shape of a rectangle.
In the garden
there is a patio in the shape of a rectangle
and two ponds in the shape of circles with diameter 3.8 m.
The rest of the garden is grass.
Diagram NOT accurately drawn
Mr Weaver is going to spread fertiliser over all the grass.
One box of fertiliser will cover 25 m\(^2\) of grass.
How many boxes of fertiliser does Mr Weaver need?
You must show your working. (5)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \((17 - 2.8) \times 9.5 = 134.9\) \(\pi \times (3.8 \div 2)^2 = 11.34..\) \(134.9 - 2 \times 11.34 = 112.21\) \(112.21 \div 25 = 4.488\) | 5 | 5 | M1 for \((17 - 2.8) \times 9.5\) (=134.9) or \(17 \times 9.5 - 2.8 \times 9.5\) (\(= 161.5 - 26.6 = 134.9\)) M1 for \(\pi \times (3.8 \div 2)^2\) (=11.33 – 11.35) M1(dep on M1) for ‘134.9’ \(- 2 \times\) ‘11.34’ A1 for 112 - 113 C1(dep on at least M1) for 'He needs 5 boxes' ft from candidate's calculation rounded up to the next integer. |