4MA0 Foundation June 2012 Paper 1 Q8
8 This formula can be used to work out the cost, in Riyals, of hiring a car in Qatar for a number of days.
Cost = 85 × number of days
(a) Daisha hired a car for 12 days.
Work out the cost. (1)
Work out the cost. (1)
(b) Yusuf hired a car.
The cost was 765 Riyals.
Work out the number of days for which Yusuf hired the car. (2)
The cost was 765 Riyals.
Work out the number of days for which Yusuf hired the car. (2)
(c) \(C\) Riyals is the cost of hiring a car for \(n\) days.
Write down a formula for \(C\) in terms of \(n\). (2)
Write down a formula for \(C\) in terms of \(n\). (2)
(d) As a special offer, the cost of hiring a car for a month is 1800 Riyals.
Awad wants to hire a car for a number of days.
He works out that 1800 Riyals is less than the cost of hiring the car at 85 Riyals for each day.
Work out the smallest number of days for which Awad wants to hire a car. (2)
Awad wants to hire a car for a number of days.
He works out that 1800 Riyals is less than the cost of hiring the car at 85 Riyals for each day.
Work out the smallest number of days for which Awad wants to hire a car. (2)
| Scheme | Marks |
|---|---|
| 1020 | B1 |
| (1) |
Notes
B1: cao
| Scheme | Marks |
|---|---|
| \(85n = 765\) oe or 765 ÷ 85 | M1 |
| 9 | A1 |
| (2) |
Notes
A1: cao
| Scheme | Marks |
|---|---|
| \(C = 85n\) | B2 |
| (2) |
Notes
B2: B1 for \(C =\) linear expression
B1 for \(85n\) oe
SC B1 for \(n = \dfrac{C}{85}\) oe
| Scheme | Marks |
|---|---|
| 1800 ÷ 85 or 21.176… or 21 | M1 |
| 22 | A1 |
| (2) | |
| (Total 7 marks) |
Notes
A1: cao