51. The bearing 225^circ is the same as the compass direction:
- north-west
- south-west
- south-east
- north-east
Answer: B) south-west
Explanation: 225^circ = 180^circ + 45^circ, halfway between south and west. SLO M-09-B-25 · Knowledge
MCQs / Mathematics / Bearing
Bearing MCQs — Mathematics (page 3)
63 multiple-choice questions on Bearing from Mathematics, each with the correct answer and, where available, a teacher's explanation. Read through them to revise the chapter, then practise the same questions one by one to test yourself.
52. To find the distance east travelled on a bearing theta (less than 90^circ) for a distance d, we use:
- dcostheta
- dsintheta
- dsintheta
- dtantheta
Answer: B) dsintheta
Explanation: The east component is opposite the angle measured from north. SLO M-09-B-27 · Application
53. With north along the positive y-axis, the bearing of the point (6, 0) from the origin is:
- 090^circ
- 94^circ
- 270^circ
- 180^circ
Answer: A) 090^circ
Explanation: Measure clockwise from north (the positive y-axis): 090^circ. SLO M-09-B-26 · Understanding
54. The three-figure bearing of due north-west is:
- 180^circ
- 225^circ
- 315^circ
- 090^circ
Answer: C) 315^circ
Explanation: Bearings are measured clockwise from north: N = 000^circ, E = 090^circ, S = 180^circ, W = 270^circ. SLO M-09-B-25 · Knowledge
55. The compass direction S,30^circ, E written as a three-figure bearing is:
- 210^circ
- 240^circ
- 150^circ
- 330^circ
Answer: C) 150^circ
Explanation: Start at north and turn clockwise: S,30^circ, E = 150^circ. SLO M-09-B-25 · Knowledge
56. The bearing 110^circ written as a compass direction is:
- S,20^circ, E
- S,70^circ, E
- N,70^circ, E
- N,110^circ, E
Answer: B) S,70^circ, E
Explanation: 180^circ - 110^circ = 70^circ east of south. SLO M-09-B-25 · Knowledge
57. The bearing of B from A is 245^circ. The bearing of A from B is:
- 335^circ
- 115^circ
- 065^circ
- 155^circ
Answer: C) 065^circ
Explanation: Back bearing = 245^circ - 180^circ = 065^circ. SLO M-09-B-26 · Understanding
58. The bearing of Q from P is 070^circ and of R from P is 250^circ. Then Q, P, R are:
- forming an equilateral triangle
- in a straight line
- the same point
- at right angles
Answer: B) in a straight line
Explanation: 250^circ - 70^circ = 180^circ, so Q and R are in exactly opposite directions from P. SLO M-09-B-26 · Understanding
59. Three-figure bearings are measured:
- anticlockwise from east
- clockwise from east
- clockwise from north
- anticlockwise from north
Answer: C) clockwise from north
Explanation: Always start at north and turn clockwise, using three digits. SLO M-09-B-25 · Knowledge
60. A bearing of 300^circ points between:
- north and east
- south and west
- west and north
- east and south
Answer: C) west and north
Explanation: 270^circ is west and 360^circ is north. SLO M-09-B-25 · Knowledge
61. A helicopter is 10 km north and 10 km west of its base. The bearing of the helicopter from the base is:
- 045^circ
- 135^circ
- 315^circ
- 225^circ
Answer: C) 315^circ
Explanation: North-west, i.e. 360^circ - 45^circ = 315^circ. SLO M-09-B-27 · Application
62. A boat sails 13 km from P to Q. Q is 5 km east of P. How far north of P is Q?
- 194 km
- 18 km
- 12 km
- 8 km
Answer: C) 12 km
Explanation: 13^2 - 5^2 = 12 km. SLO M-09-B-27 · Application
63. The bearing of B from A is 050^circ. The bearing of A from B is:
- 230^circ
- 130^circ
- 140^circ
- 310^circ
Answer: A) 230^circ
Explanation: Back bearing = 50^circ + 180^circ = 230^circ. SLO M-09-B-26 · Understanding
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