4400 Higher November 2004 Paper 3 Q5
5 A straight road rises 60 m in a horizontal distance of 260 m.

Diagram NOT accurately drawn
(a) Work out the gradient of the road.
Give your answer as a fraction in its lowest terms. (2)
Give your answer as a fraction in its lowest terms. (2)
(b) Calculate how far the road rises in a horizontal distance of 195 m. (2)
| Scheme | Marks |
|---|---|
| \(\dfrac{60}{260}\) | M1 |
| \(\dfrac{3}{13}\) | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| \(60 \times \dfrac{195}{260}\) oe or her \(\dfrac{3}{13} \times 195\) | M1 |
| 45 (44.8 to 45.1) | A1ft |
| (2) | |
| (4 marks) |
Notes
A1ft: Follow her grad or %