Foundation June 2019 Paper 3 Q11
11 The table shows the costs of sending a parcel by the Express service and by the Rapid service.
| Type of service | Cost |
|---|---|
| Express | £15.25 |
| Rapid | £35.38 |
Brendan has to send 12 parcels.
It will be cheaper to send the parcels by the Express service than by the Rapid service.
(a) How much cheaper? (3)
Luke wants to send 21 parcels by the Express service.
He does the calculation 20 × £15 = £300 to estimate the cost.
(b) Explain why Luke’s calculation shows the actual cost will be more than £300 (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| 241.56 | P1 | for difference for 1 parcel eg \(35.38 - 15.25\ (= 20.13)\) OR for total cost for 12 parcels by either service eg \(35.38 \times 12\ (= 424.56)\) or \(15.25 \times 12\ (= 183)\) |
| P1 | for a complete process eg \(\text{``}20.13\text{''} \times 12\) or \(\text{``}424.56\text{''} - \text{``}183\text{''}\) | |
| A1 | cao |
| Answer | Mark | Mark scheme |
|---|---|---|
| Explanation | C1 | for explanation Acceptable examples both figures rounded down (refers to both figures) 20 is less than 21 and 15 is less than 15.25 Not acceptable examples both figures rounded (up); rounded down either 20 is less than 21 or 15 is less than 15.25 (refers to just one figure) the cost is 320.25 (more than 300); multiplying with bigger numbers |