4MA0 Higher January 2018 Paper 3 Q1
1 Pasquale has a map with a scale of 1:125 000
His house is 14 kilometres from an airport.
(a) Work out the distance on Pasquale’s map, in centimetres, from his house to the airport. (2)
Luciana has a map with a scale of 1 : \(n\)
Her house is 4.8 kilometres from a station.
On Luciana’s map, the distance from her house to the station is 19.2 centimetres.
(b) Work out the value of \(n\). (2)
| Scheme | Marks |
|---|---|
| 1 400 000 ÷ 125 000 oe or 14 ÷ 125 000 or 14 × 1000 × 100 (= 1 400 000) or 125 000 ÷ 1000 ÷ 100 (= 1.25) | M1 |
| 11.2 | A1 |
| (2) |
Notes
M1: for a first step; can be implied by an answer with digits 112
| Scheme | Marks |
|---|---|
| (4.8 × 1000 × 100) ÷ 19.2 oe or 4.8 ÷ (19.2 ÷ 1000 ÷ 100) oe | M1 |
| 25 000 | A1 |
| (2) |
Notes
M1: for division by 19.2; can be implied by an answer with digits 25