Bearings and Scale Drawings · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.
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Bearings and the walk they draw

Mathematics · Geometry · ages 14-15
Name ______________________   Date ____________

  1. The bearing of B from A is 070 degrees. What is the back bearing, from B to A, in degrees?

    Answer: ______________

  2. From north, a path lies 35 degrees anticlockwise. What is the path's clockwise bearing?

    • 035 degrees
    • 325 degrees
    • 145 degrees
    • 215 degrees

  3. The bearing of B from A is exactly 180 degrees. Use 000 degrees for north. What is the back bearing in degrees? Enter a number.

    Answer: ______________

  4. A bearing of 60 degrees must use three figures. How is it written?

    • 060 degrees
    • 60 degrees
    • 600 degrees

  5. A 9 km route leg is drawn as 3 cm. Which scale was used?

    • 1 cm to 6 km
    • 1 cm to 9 km
    • 1 cm to 3 km
    • 1 cm to 12 km

  6. Use whole-degree bearings from 000 to 359. Kim adds 180 degrees to any bearing and writes the result without adjusting values of 360 or more. Does this always give a valid back bearing?

    Circle one:   True   False

  7. A boat heads on a bearing of 055 degrees. It then turns clockwise through 120 degrees. What is its new bearing in degrees?

    Answer: ______________

  8. A ship sails 4 km due east on a bearing of 090 degrees. At 1 cm to 1 km, how long is this leg drawn?

    • 2 cm
    • 4 cm
    • 8 cm

  9. A scale drawing shows a 6 cm leg on a bearing of 045 degrees. The scale is 1 cm to 2 km. What is the real distance in kilometres?

    Answer: ______________

  10. A route drawing originally uses 1 cm to 2 km. A copy doubles every drawing length. One leg measures 7 cm on the enlarged copy. What real distance does it represent, in kilometres?

    Answer: ______________

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Answer key

For grown-ups. Fold this page away before handing over the rest.

Bearings and the walk they draw W1-mt_9q32jC0Fk_-s1

  1. 250 · Below 180 you add: 70 plus 180 is 250 degrees.
  2. 325 degrees · The two angles complete a full turn: 360 − 35 = 325 degrees clockwise.
  3. 0 · 180 degrees points south. The opposite direction is north: 180 − 180 = 0, written 000 degrees.
  4. 060 degrees · Bearings always use three figures, so 60 degrees becomes 060 degrees.
  5. 1 cm to 3 km · Divide the real length by the drawing length: 9 ÷ 3 = 3. Each drawing centimetre represents 3 km.
  6. False · For 260 degrees, Kim gets 440 degrees, outside the stated range. Subtract 180 instead: 260 − 180 = 80, written 080 degrees.
  7. 175 · A clockwise turn increases the bearing: 55 + 120 = 175 degrees. No full-turn adjustment is needed.
  8. 4 cm · At this scale, each kilometre is drawn as one centimetre, so 4 km is drawn as 4 cm.
  9. 12 · Measure the leg, then multiply: 6 times 2 is 12 km.
  10. 7 · Doubling the drawing halves the kilometres per centimetre: 2 ÷ 2 = 1. The enlarged 7 cm leg represents 7 × 1 = 7 km.
Worksheet · LightMySky