Mathematics Practice Test – Bearings (Questions with Answers and Explanations)

In the diagram, /PQ/ = 8 m, /QR/ = 13 m, the bearing of Q from P is 050^o and the bearing of R from Q is 130^o. Calculate correct to 3 significant figures, the distance /PR/. (WASSCE 2002)

A ship sails 110 km from a port P on a bearing of 035^o and then 116 km on a bearing of 105^o to another point Q. Calculate the bearing of Q from P.

A. 35^o
B. 75^o
C. 110^o
D. 71^o

Convert the compass bearing S 40^o W to a 3-digit bearing.

A. 200^o
B. 220^o
C. 040^o
D. 025^o

Which of the following bearing is equivalent to S 50^o W?

A. 040^o
B. 130^o
C. 220^o
D. 230^o

Three observation posts P, Q and R are such that Q is due east of P and R is due north of Q. If /PQ/ = 5 km and /PR/ = 10 km, find /QR/. (WASSCE 2001)

A. 5.0 km
B. 7.5 km
C. 7.6 km
D. 8.7 km