Skip to content

Quantitative Aptitude · Direction Tests

Finding the Final Direction After Turns

Updated 1 October 2026 · Fact-checked

Final direction is where a person faces after a series of turns. Treat right turns as clockwise and left turns as anticlockwise. Add right turns, subtract left turns, and move that net angle clockwise from the starting direction on the compass. Each 45° step moves one point: N, NE, E, SE, S, SW, W, NW.

Understand Finding the Final Direction After Turns

A direction question gives you a starting direction and a list of turns. You must say which way the person faces at the end. Nothing else matters, such as distance or position.

The compass has eight points you need here. Going clockwise they are North, North-East, East, South-East, South, South-West, West, North-West. Neighbouring points are 45° apart. Cardinal points (N, E, S, W) are 90° apart.

A right turn is a clockwise turn. A left turn is an anticlockwise turn. Turns are always made from the direction the person currently faces, not from North. This is why "left" from South takes you to East, not West.

You can treat each turn as an angle with a sign. Right is plus, left is minus. Add them all up to get one net turn. The person ends up facing the start direction rotated by the net turn. Because turning is just rotation, the order of the turns does not change the final direction. It only changes the directions in between.

A full circle is 360°. If the net turn is 360° or more, or negative, bring it back into the range of 0° to 360° by adding or removing 360°. A net turn of 180° always means the person faces the opposite direction.

Key formulas to remember

Compass angles (clockwise from North)
N = 0°, NE = 45°, E = 90°, SE = 135°, S = 180°, SW = 225°, W = 270°, NW = 315°
Learn this ring in order. Moving clockwise adds 45° each step.
Net turn
Net turn = (sum of right turns) − (sum of left turns)
Right means clockwise and left means anticlockwise. Keep the sign: a negative result means net anticlockwise.
Final direction
Final angle = (start angle + net turn) adjusted by ±360° to lie between 0° and 360°
Convert the final angle back to a compass point using the ring above.
Turns in units of 45°
45° = 1 unit, 90° = 2 units, 135° = 3 units, 180° = 4 units, 270° = 6 units, 360° = 8 units
Number the compass N = 0, NE = 1, E = 2, SE = 3, S = 4, SW = 5, W = 6, NW = 7. Then work modulo 8.
Opposite direction
A turn of 180° (left or right) gives the opposite point
N↔S, E↔W, NE↔SW, NW↔SE.

How to solve Finding the Final Direction After Turns questions

This method works for any final-direction question with turns of 45°, 90°, 135° or 180°, left or right.

  1. 1Write the starting direction and its angle from the compass ring (N = 0°, E = 90°, S = 180°, W = 270°, and 45° in between for the diagonals).
  2. 2List every turn with a sign: right or clockwise as plus, left or anticlockwise as minus.
  3. 3Add them all to get the net turn. Do not worry about the order.
  4. 4Add the net turn to the starting angle.
  5. 5If the result is 360° or more, subtract 360°. If it is negative, add 360°.
  6. 6Convert the final angle back to a compass point.
  7. 7Check by walking through the turns one at a time on a rough compass sketch, or check that a 180° net turn gives the opposite point.

Quickest way: Number the compass and add in units of 45°

When to use it: Use it for every MCQ in this topic, especially when there are three or more turns or 45° turns are mixed in.

  1. Number the points: N 0, NE 1, E 2, SE 3, S 4, SW 5, W 6, NW 7.
  2. Convert each turn to units: 45° = 1, 90° = 2, 135° = 3, 180° = 4. Right is plus, left is minus.
  3. Add the units to the start number.
  4. Divide by 8 and keep the remainder. If it is negative, add 8.
  5. Read the point from the number list.
  6. Cross-check using the options. If the net turn is 180°, the answer must be the opposite point. If the net turn is 0°, the person faces the start direction.
  7. Do not skip these questions. They are quick and reliable, so they are a safe source of marks given the 0.25 negative marking.

Common mistakes in Finding the Final Direction After Turns

  • Taking left of South as West (and right of South as East).

    Students imagine the map from above and think left always means the left side of the page.

    Fix: Left and right are relative to the person's facing. Facing South, your left hand points East. Use the clockwise rule: right is clockwise, left is anticlockwise.

  • Treating a 45° turn as a 90° turn.

    Most practice questions use 90° turns, so the mind defaults to cardinal points.

    Fix: Convert every turn to units of 45° before adding. A 45° turn is 1 unit and a 90° turn is 2 units.

  • Not reducing the angle after going past 360° or below 0°.

    The final angle like 405° or −45° does not appear on the compass ring.

    Fix: Subtract 360° from 360° or more and add 360° to negative angles. 405° becomes 45° (NE). −45° becomes 315° (NW).

  • Measuring turns from North instead of from the current facing direction.

    Students read "turns 90° left" as "goes 90° left of North".

    Fix: Every turn starts from the direction the person is facing at that moment. Adding signed turns handles this automatically.

  • Mixing up clockwise and anticlockwise wording.

    Some questions say "turns 135° anticlockwise" instead of left, and students count it as a right turn.

    Fix: Rewrite at once: clockwise means right, plus. Anticlockwise means left, minus.

  • Adding the left turns to the right turns.

    Students total all the angles without thinking about direction.

    Fix: Right and left turns cancel each other. Compute right total minus left total.

Worked examples

Example 1

A person faces North. He turns 90° to the right, then 45° to the right, then 180° to the left. Which direction does he face now? (A) North-East (B) South-West (C) North-West (D) South-East

Show the solution
  1. Start: North = 0°.
  2. Signed turns: +90, +45, −180.
  3. Net turn = 90 + 45 − 180 = −45°.
  4. Final angle = 0 − 45 = −45°, add 360° to get 315°.
  5. 315° is North-West.
  6. Check: N → right 90° → E → right 45° → SE → left 180° → opposite of SE = NW. This matches.

Answer: (C) North-West

Example 2

A girl faces West. She turns 90° left, then 45° left, then 180° right, then 90° right. Which direction does she face finally? (A) South-East (B) North-East (C) South-West (D) North-West

Show the solution
  1. Use numbers: W = 6.
  2. Units: left 90° = −2, left 45° = −1, right 180° = +4, right 90° = +2.
  3. Net = −2 − 1 + 4 + 2 = +3 units, which is 135° clockwise.
  4. Final = 6 + 3 = 9. Take the remainder after dividing by 8: 9 − 8 = 1.
  5. Number 1 is North-East.
  6. Check: W → left 90° → S → left 45° → SE → right 180° → NW → right 90° → NE. This matches.

Answer: (B) North-East

Example 3

A man faces East. He turns 225° clockwise, then 90° anticlockwise, then 45° clockwise. In which direction is he facing now? (A) North (B) North-East (C) South-West (D) West

Show the solution
  1. Start: East = 2 units.
  2. Convert: 225° clockwise = +5 units. 90° anticlockwise = −2 units. 45° clockwise = +1 unit.
  3. Net = 5 − 2 + 1 = +4 units, which is 180°.
  4. Final = 2 + 4 = 6.
  5. Number 6 is West.
  6. Check: a net 180° turn gives the opposite of East, which is West.

Answer: (D) West

Exam tips

  • Draw a small eight-point compass on your rough sheet and number it 0 to 7 before you start the paper's reasoning section. It takes only seconds.
  • Read each turn word carefully: left, right, clockwise and anticlockwise. A wrong sign is the commonest way to lose marks here.
  • Use the 180° and 360° shortcuts. If the net turn is 180°, flip the direction. If it is 0° or 360°, the direction is unchanged.
  • Look for questions that ask for the direction at an intermediate step. In those, the order matters, so do not use the net turn alone.
  • Because of the 0.25 negative marking, these questions are worth attempting in full. Check the answer with the options before you mark it.

Practice questions from Direction Tests

Finding the Final Direction After Turns: frequently asked questions

How do I find the final direction after turning left and right?

Count right turns as clockwise (plus) and left turns as anticlockwise (minus). Add them to get a net angle. Move that angle clockwise from the starting direction on the compass ring and read the final point.

Does the order of the turns change the final direction?

No. Turns are rotations, so the sum is the same in any order. The order only changes the directions the person faces in between. So if a question asks about an intermediate direction, you must go step by step.

What is the easiest trick for 45° turns?

Number the compass points N = 0 to NW = 7 and treat a 45° turn as 1 unit. Add right turns, subtract left turns, and take the remainder after dividing by 8.

What happens if the net turn is more than 360°?

Subtract 360° from it, as many times as needed. A 360° turn brings the person back to the same direction, so it can be dropped.