4MA0 Foundation June 2011 Paper 2 Q16
16 Here is a map of an island.
\(A\) and \(B\) are points on the island.
The scale of the map is 1 cm to 5 km.
(a) Find the real distance, in kilometres, between \(A\) and \(B\). (2)
(b) By measuring, find the bearing of \(B\) from \(A\). (1)
(c) Find the bearing of \(A\) from \(B\). (1)
Treasure is buried at a point on the island.
This point is 30 km from \(A\) and on a bearing of 320° from \(B\).
(d) Find the point on the map where the treasure is buried.
Mark this point with an \(X\). (2)
Mark this point with an \(X\). (2)
| Scheme | Marks |
|---|---|
| 6.3 → 6.5 (inclusive) × 5 | M1 |
| 31.5 → 32.5 inclusive | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| 076 → 080 inclusive | B1 |
| (1) |
Notes
B1: leading zero not necessary
| Scheme | Marks |
|---|---|
| 256 → 260 inclusive | B1 |
| (1) |
Notes
B1: ft from (b) if (b) is acute {180 + (b) oe}
| Scheme | Marks |
|---|---|
| 1 bearing line or 1 arc drawn correctly from A or B | M1 |
| Cross in correct position | A1 |
| (2) | |
| (Total 6 marks) |
Notes
A1: dep on M1 (see overlay)