Logical reasoning · lesson 13 of 30 · free

Direction sense — Logical reasoning for kids

Kabir walks 6 km North, turns right and walks 8 km. Where is he now? Draw the path with North at the top. Right turns go clockwise, left turns the other way, and a right-angle path gives a right triangle.

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How to think it through

Draw the path — “mark each walk and turn on paper; the straight line home is the distance”

  1. Draw North at the top, East on the right. A right turn moves clockwise (N → E → S → W), a left turn anticlockwise, turning around is two turns.
  2. Walks back the same way cancel: 10 m East then 4 m West leaves 6 m East.
  3. Two walks at a right angle make a right triangle: distance² = first² + second² (3, 4, 5 and 6, 8, 10 are handy).

Use it for: Direction questions in Olympiads and aptitude tests, reading maps, and finding your way.

Worked example: Kabir walks 6 km North, then turns right and walks 8 km. How far is he from the starting point now, in a straight line (in km)? → 10

  1. The two walks make a right angle, so the way home is the long side of a right triangle.
  2. 6² + 8² = 36 + 64 = 100 = 10².

Check: 6, 8, 10 is double 3, 4, 5 ✓

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🖨️ Direction Sense Worksheet

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