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Bearings: The Angle Between Two Directions (Year 10)

Free printable UK Year 10 (GCSE Foundation) maths worksheet on bearings: find the angle between two bearings measured from the same point, and find a new bearing after a clockwise turn.

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Grade 9 · Math worksheet
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Bearings: The Angle Between Two Directions

Use bearings measured from the same point to find the angle between two directions, or to find a new bearing after turning through a given angle.

  1. 1.
    From a lighthouse O, the bearing of ship A is 212° and the bearing of ship B is 084°. Find the smaller angle between the two bearings (angle AOB).
  2. 2.
    From a lighthouse O, the bearing of ship A is 157° and the bearing of ship B is 065°. Find the smaller angle between the two bearings (angle AOB).
  3. 3.
    From a lighthouse O, the bearing of ship A is 173° and the bearing of ship B is 166°. Find the smaller angle between the two bearings (angle AOB).
  4. 4.
    From a lighthouse O, the bearing of ship A is 028° and the bearing of ship B is 276°. Find the smaller angle between the two bearings (angle AOB).
  5. 5.
    From a lighthouse O, the bearing of ship A is 050° and the bearing of ship B is 321°. Find the smaller angle between the two bearings (angle AOB).
  6. 6.
    From a lighthouse O, the bearing of ship A is 006° and the bearing of ship B is 316°. Find the smaller angle between the two bearings (angle AOB).
  7. 7.
    The bearing of point A from point O is 053°. Point B is 110° clockwise from A, as seen from O. Find the bearing of B from O.
  8. 8.
    The bearing of point A from point O is 090°. Point B is 12° clockwise from A, as seen from O. Find the bearing of B from O.
  9. 9.
    The bearing of point A from point O is 342°. Point B is 51° clockwise from A, as seen from O. Find the bearing of B from O.
  10. 10.
    The bearing of point A from point O is 328°. Point B is 115° clockwise from A, as seen from O. Find the bearing of B from O.
  11. 11.
    The bearing of point A from point O is 167°. Point B is 80° clockwise from A, as seen from O. Find the bearing of B from O.
  12. 12.
    The bearing of point A from point O is 356°. Point B is 55° clockwise from A, as seen from O. Find the bearing of B from O.
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