Stage 9 - Q1 - 3 marks
A route is 78 km long. Its drawing must be at most 12 cm. Find the smallest km-per-cm scale and give one convenient larger scale.
Hint
The whole drawing must fit on the paper.
Stage 9 - Q2 - 4 marks
A walker travels 51 km on \(075^\circ\), then 68 km on \(165^\circ\). Make a 1 cm to 17 km drawing and find the return distance.
Hint
The second bearing starts at the end of the first leg.
Stage 9 - Q3 - 4 marks
A ship travels 39 km on \(055^\circ\), then 52 km on \(145^\circ\). Use a scale drawing to find its return bearing.
Hint
Measure the return bearing at the final point, not at the starting point.
Stage 9 - Q4 - 4 marks
B is 68 km east of A. A vessel is on bearing 045° from A and 315° from B. Draw its position and estimate its distance from A.
Hint
The position must lie on both bearing rays.
Stage 9 - Q5 - 4 marks
A walker travels 18 km on \(020^\circ\), then 24 km on \(110^\circ\). Make a 1 cm to 6 km drawing and find the return distance.
Hint
The second bearing starts at the end of the first leg.
Stage 9 - Q6 - 4 marks
A ship travels 45 km on \(065^\circ\), then 60 km on \(155^\circ\). Use a scale drawing to find its return bearing.
Hint
Measure the return bearing at the final point, not at the starting point.
Stage 9 - Q7 - 4 marks
B is 8 km east of A. A vessel is on bearing 045° from A and 315° from B. Draw its position and estimate its distance from A.
Hint
The position must lie on both bearing rays.
Stage 9 - Q8 - 3 marks
A route is 90 km long. Its drawing must be at most 12 cm. Find the smallest km-per-cm scale and give one convenient larger scale.
Hint
The whole drawing must fit on the paper.
Stage 9 - Q9 - 4 marks
A ship travels 51 km on \(075^\circ\), then 68 km on \(165^\circ\). Use a scale drawing to find its return bearing.
Hint
Measure the return bearing at the final point, not at the starting point.
Stage 9 - Q10 - 6 marks
B is 24 km east of A. Two boats travel to the intersection of bearings 045° from A and 315° from B. A travels at 12 km/h and B at 18 km/h. How much later should B leave to arrive together?
Hint
The two routes are equal in length, but not in travel time.