1MA0 Higher June 2014 Paper 2 Q11
11 Here is a plan of Martin’s driveway.
Diagram NOT accurately drawn
Martin is going to cover his driveway with gravel.
The gravel will be 6 cm deep.
Gravel is sold in bags.
There are 0.4 m\(^3\) of gravel in each bag.
Each bag of gravel costs £38
Martin gets a discount of 30% off the cost of the gravel.
Work out the total amount of money Martin pays for the gravel. (5)
| Answer | Mark | Notes |
|---|---|---|
| 186.20 | 5 | M1 for use of consistent units to find volume, \(11 \times 4 \times 0.06\) (=2.64) or \(1100 \times 400 \times 6\) (=2640000) M1 (dep on vol calculation) for attempt to find number of bags needed, eg \(\text{``}2.64\text{''} \div 0.4\) (=6.6, 7) M1 for the cost of gravel before discount eg \(\text{``}6.6\text{''} \times 38\) or \(\text{``}7\text{''} \times 38\) M1 for attempt to find the total cost after discount \(\text{``}266\text{''} \times 0.7\) oe A1 for 186.2(0) OR M1 for cost of gravel per bag after discount, \(38 \times 0.7\) (=26.60) M1 for use of consistent units to find volume, \(11 \times 4 \times 0.06\) (=2.64) or \(1100 \times 400 \times 6\) (=2640000) M1 (dep on vol calculation) for attempt to find number of bags needed, eg \(\text{``}2.64\text{''} \div 0.4\) M1 for total cost of gravel after discount \(\text{``}7\text{''} \times \text{``}26.6\text{''}\) A1 for 186.2(0) |