1MA0 Higher November 2012 Paper 1 Q7
7 Here is a diagram of Jim’s garden.
Diagram NOT accurately drawn
Jim wants to cover his garden with grass seed to make a lawn.
Grass seed is sold in bags.
There is enough grass seed in each bag to cover 20 m\(^2\) of garden.
Each bag of grass seed costs £4.99
Work out the least cost of putting grass seed on Jim’s garden. (4)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(\frac{9}{2} \times (12 + 18) = 135\) 135 ÷ 20 = 6.75 (=7 bags) 7 × 4.99 OR \(18 \times 9 - \frac{1}{2}(6 \times 9) = 135\) 135 ÷ 20 = 6.75 (=7 bags) 7 × 4.99 | 34.93 | 4 | M1 for \(\frac{9}{2} \times (12 + 18)\) or \(18 \times 9 - \frac{1}{2}(6 \times 9)\) or \(9 \times 12 + \frac{1}{2} \times (18 - 12) \times 9\) or 135 seen M1 (dep) for ‘135’÷ 20 or 6 or 7 seen M1 (dep on previous M1) for ‘6’ × 4.99 or ‘7’ × 4.99 A1 cao [SC: M1 for (12×9 + 6×9) ÷ 20 (= 162÷20) or 8 or 9 seen M1 (dep) for ‘8’ × 4.99 or ‘9’ × 4.99 OR M1 for (18×9 − 6×9) ÷ 20 (= 108÷20) or 5 or 6 seen M1 (dep) for ‘5’ × 4.99 or ‘6’ × 4.99] |