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Direction-Sense Maps, Drawn Not Guessed

Left, right, north, back again. These questions are easy on paper and impossible in your head. Here is the fix.

By Quanta KidsBy IIT & ISB Alumni2 min read24 Jun 2026
Key Takeaways
  • Never solve a direction question in your head. Draw it, and it answers itself.
  • Start with a small compass: north up, south down, east right, west left.
  • Draw each leg as an arrow that begins exactly where the last one ended. Mark start and finish.
  • 'Turn right' means the walker's right, which depends on the way they face, not the right of the page.

Read a direction question aloud and it sounds harmless. Walk three steps north, turn right, walk four more, now which way are you facing? Try to hold all of that in your head and it turns to fog. Put a pen on paper and it falls apart in the best way, into a picture that answers itself. The whole skill is simply refusing to do it in your head.

Three Strokes Of A Pen

Teach your child to build the same little diagram every single time:

1. Draw a small compass in the corner: north up, south down, east right, west left. A right turn is a quarter turn clockwise, a left turn a quarter turn back. 2. Draw each leg of the journey as an arrow that starts exactly where the last one stopped. 3. Mark the start and the finish, then read the answer straight off the page.

A sketch of a direction problem. From the start, an arrow points 3 km north, then turns right and points 4 km east to the finish. A dashed line from start to finish shows the finish lies to the north-east.
A sketch of a direction problem. From the start, an arrow points 3 km north, then turns right and points 4 km east to the finish. A dashed line from start to finish shows the finish lies to the north-east.

Walk the example above through those three strokes. Start facing north and go three, so an arrow heads up. A right turn from north points east, so the next arrow runs across to the right for four. The finish now sits up and to the right of the start, which is north-east, and the distance is just the straight line joining the two dots. No juggling, no second-guessing.

The Word That Catches Everyone

The one thing that trips children is the phrase "turn right". It means the walker's right, not the right-hand side of the page, and those two only agree when the walker happens to be facing up. A mental attempt loses track of this the moment the walker turns. A drawing cannot, because once the arrow is down, the walker's right is wherever their nose is pointing, and the pen just follows it.

You will notice our reasoning questions rarely spell a route out in words alone. They nudge your child to sketch first, over and over, until reaching for a pen stops being a tip and starts being a reflex.

How Quanta Kids works

Understanding first. Confidence next.

We teach every topic until it makes sense, then let your child practise it until it sticks. Start with a free diagnostic to see where they stand today.