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Bearing MCQs — Mathematics (page 2)

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.

26. The three-figure bearing of due south is:

  1. 180^circ
  2. 315^circ
  3. 225^circ
  4. 135^circ

Answer: A) 180^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

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27. Town B is on a bearing of 040^circ from A and town C is on a bearing of 130^circ from A. The angle BAC is:

  1. 170^circ
  2. 90^circ
  3. 130^circ
  4. 40^circ

Answer: B) 90^circ

Explanation: 130^circ - 40^circ = 90^circ. SLO M-09-B-26 · Understanding

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28. A ship sailing on a bearing of 330^circ turns 60^circ clockwise. Its new bearing is:

  1. 270^circ
  2. 030^circ
  3. 060^circ
  4. 210^circ

Answer: B) 030^circ

Explanation: Add 60^circ: 030^circ (keeping the answer between 000^circ and 360^circ). SLO M-09-B-26 · Understanding

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29. Town B is 30 km east of town A, and town C is 40 km north of B. The distance AC is:

  1. 70 km
  2. 50 km
  3. 10 km
  4. 35 km

Answer: B) 50 km

Explanation: 30^2 + 40^2 = 50 km. SLO M-09-B-27 · Application

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30. A ship sails on a bearing of 100^circ, then turns to sail on a bearing of 190^circ. It has turned through:

  1. 90^circ anticlockwise
  2. 90^circ clockwise
  3. 190^circ
  4. 290^circ clockwise

Answer: B) 90^circ clockwise

Explanation: 190^circ - 100^circ = 90^circ clockwise. SLO M-09-B-26 · Understanding

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31. A ship sailing on a bearing of 200^circ turns 45^circ anticlockwise. Its new bearing is:

  1. 045^circ
  2. 335^circ
  3. 155^circ
  4. 245^circ

Answer: C) 155^circ

Explanation: Subtract 45^circ: 155^circ (keeping the answer between 000^circ and 360^circ). SLO M-09-B-26 · Understanding

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32. A hiker walks 24 km north and then 7 km east. Her distance and bearing from the start are:

  1. 25 km on a bearing of about 196.3^circ
  2. 25 km on a bearing of about 016.3^circ
  3. 31 km on a bearing of about 016.3^circ
  4. 25 km on a bearing of about 073.7^circ

Answer: B) 25 km on a bearing of about 016.3^circ

Explanation: Distance = 24^2 + 7^2 = 25 km. Bearing = tan^-1 724 approx 16.3^circ (measured from north). SLO M-09-B-27 · Application

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33. A ship sails 10 km on a bearing of 060^circ. How far east of its start is it?

  1. 10 km
  2. 10 3 km
  3. 5 km
  4. 5 3 km

Answer: D) 5 3 km

Explanation: The angle from the north–south line is 60^circ, so east = 10sin 60^circ = 10 32 = 5 3 km (and it is 5 km north). SLO M-09-B-27 · Application

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34. A hiker walks 5 km north and then 12 km east. Her distance and bearing from the start are:

  1. 13 km on a bearing of about 067.4^circ
  2. 17 km on a bearing of about 067.4^circ
  3. 13 km on a bearing of about 022.6^circ
  4. 13 km on a bearing of about 247.4^circ

Answer: A) 13 km on a bearing of about 067.4^circ

Explanation: Distance = 5^2 + 12^2 = 13 km. Bearing = tan^-1 125 approx 67.4^circ (measured from north). SLO M-09-B-27 · Application

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35. A plane flies 14 2 km on a bearing of 045^circ. How far north has it travelled?

  1. 28 km
  2. 142 km
  3. 14 2 km
  4. 14 km

Answer: D) 14 km

Explanation: North = 14 2 cos 45^circ = 14 2 1 2 = 14 km. SLO M-09-B-27 · Application

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36. The bearing of B from A is 130^circ. The bearing of A from B is:

  1. 050^circ
  2. 220^circ
  3. 230^circ
  4. 310^circ

Answer: D) 310^circ

Explanation: Back bearing = 130^circ + 180^circ = 310^circ. SLO M-09-B-26 · Understanding

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37. A ship sails 8 km on a bearing of 120^circ. How far east of its start is it?

  1. 4 km
  2. 8 3 km
  3. 8 km
  4. 4 3 km

Answer: D) 4 3 km

Explanation: The angle from the south–south line is 60^circ, so east = 8sin 60^circ = 8 32 = 4 3 km (and it is 4 km south). SLO M-09-B-27 · Application

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38. Ali walks 3 km north and then 3 km east. The bearing of his starting point from where he finishes is:

  1. 045^circ
  2. 315^circ
  3. 225^circ
  4. 135^circ

Answer: C) 225^circ

Explanation: From start the finish is on 045^circ; the back bearing is 045^circ + 180^circ = 225^circ. SLO M-09-B-26 · Understanding

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39. Two boats leave a harbour. One sails 9 km on a bearing of 030^circ and the other 12 km on a bearing of 120^circ. How far apart are they?

  1. 15 km
  2. 17 km
  3. 21 km
  4. 3 km

Answer: A) 15 km

Explanation: The angle between the bearings is 120^circ - 30^circ = 90^circ, so the distance is 9^2 + 12^2 = 15 km. SLO M-09-B-27 · Application

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40. A runner goes 400 m on a bearing of 090^circ, then 300 m on a bearing of 000^circ. How far is she from the start?

  1. 700 m
  2. 500 m
  3. 350 m
  4. 100 m

Answer: B) 500 m

Explanation: East 400 m and north 300 m: 400^2 + 300^2 = 500 m. SLO M-09-B-27 · Application

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41. With north along the positive y-axis, the bearing of the point (0, 5) from the origin is:

  1. 180^circ
  2. 045^circ
  3. 090^circ
  4. 000^circ

Answer: D) 000^circ

Explanation: Measure clockwise from north (the positive y-axis): 000^circ. SLO M-09-B-26 · Understanding

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42. A ship sails 20 km on a bearing of 030^circ. How far east of its start is it?

  1. 10 km
  2. 10 3 km
  3. 20 km
  4. 20 3 km

Answer: A) 10 km

Explanation: The angle from the north–south line is 30^circ, so east = 20sin 30^circ = 20 12 = 10 km (and it is 10 3 km north). SLO M-09-B-27 · Application

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43. The three-figure bearing of due north is:

  1. 000^circ
  2. 180^circ
  3. 360^circ only
  4. 090^circ

Answer: A) 000^circ

Explanation: North is the starting direction, 000^circ. SLO M-09-B-25 · Knowledge

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44. The compass direction S,20^circ, W written as a three-figure bearing is:

  1. 020^circ
  2. 200^circ
  3. 160^circ
  4. 290^circ

Answer: B) 200^circ

Explanation: Start at north and turn clockwise: S,20^circ, W = 200^circ. SLO M-09-B-25 · Knowledge

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45. A lighthouse is due east of a ship. The bearing of the ship from the lighthouse is:

  1. 270^circ
  2. 180^circ
  3. 090^circ
  4. 000^circ

Answer: A) 270^circ

Explanation: The ship is due west of the lighthouse. SLO M-09-B-26 · Understanding

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46. The bearing of B from A is 300^circ. The bearing of A from B is:

  1. 210^circ
  2. 030^circ
  3. 060^circ
  4. 120^circ

Answer: D) 120^circ

Explanation: Back bearing = 300^circ - 180^circ = 120^circ. SLO M-09-B-26 · Understanding

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47. The three-figure bearing of due south-west is:

  1. 225^circ
  2. 180^circ
  3. 045^circ
  4. 090^circ

Answer: A) 225^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

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48. The three-figure bearing of due north-east is:

  1. 135^circ
  2. 045^circ
  3. 270^circ
  4. 225^circ

Answer: B) 045^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

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49. Which bearing is written correctly?

  1. 0075^circ
  2. 75^circ
  3. 075^circ
  4. -75^circ

Answer: C) 075^circ

Explanation: A bearing always has three figures, so 75^circ is written 075^circ. SLO M-09-B-25 · Knowledge

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50. A ship sailing on a bearing of 040^circ turns 100^circ anticlockwise. Its new bearing is:

  1. 120^circ
  2. 100^circ
  3. 300^circ
  4. 140^circ

Answer: C) 300^circ

Explanation: Subtract 100^circ: 300^circ (keeping the answer between 000^circ and 360^circ). SLO M-09-B-26 · Understanding

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