Stage 9 - Q1 - 2 marks
A scale is 1 cm to 5 km. Find the drawing length for 20 km.
Hint
Use the same distance units before dividing.
Stage 9 - Q2 - 2 marks
A map scale is 1:300,000. Two places are 7 cm apart on the map. Find the real distance in km.
Hint
One kilometre is 100000 centimetres.
Stage 9 - Q3 - 2 marks
The bearing of B from A is \(015^\circ\). Find the bearing of A from B.
Hint
Add or subtract 180 degrees to stay between 000 and 359.
Stage 9 - Q4 - 3 marks
On paper, draw AB = 26 km on bearing \(100^\circ\), using 1 cm to 4 km.
Hint
Measure the angle clockwise from the north line at the starting point.
Stage 9 - Q5 - 2 marks
Use a protractor on a printed copy to estimate the bearing of B from A, to the nearest degree.
Hint
A reflex bearing is measured clockwise beyond 180 degrees.
Stage 9 - Q6 - 2 marks
A route begins on bearing \(270^\circ\) then turns clockwise by \(45^\circ\). Find the new bearing.
Hint
Bearings describe absolute directions measured from north.
Stage 9 - Q7 - 2 marks
A map scale is 1:550,000. Two places are 4 cm apart on the map. Find the real distance in km.
Hint
One kilometre is 100000 centimetres.
Stage 9 - Q8 - 2 marks
The bearing of B from A is \(105^\circ\). Find the bearing of A from B.
Hint
Add or subtract 180 degrees to stay between 000 and 359.
Stage 9 - Q9 - 3 marks
On paper, draw AB = 28 km on bearing \(190^\circ\), using 1 cm to 5 km.
Hint
Measure the angle clockwise from the north line at the starting point.
Stage 9 - Q10 - 5 marks
A rectangular region is 12 km by 9 km. Its map must fit exactly within an 8 cm by 6 cm space with the same orientation. Find the largest possible drawing scale as a ratio.
Hint
Check the width and the height constraints separately.