Numeracy: Compass direction | Worksheet | PrimaryLeap.co.uk - Free Printable

Problem Explanation:

The task involves using a compass to determine the direction you are facing after performing specific turns (clockwise or anti-clockwise) from a given starting direction. The key is to understand how each turn affects your orientation relative to the cardinal directions (North, South, East, West) and their intermediate directions (Northeast, Northwest, Southeast, Southwest).

Solution Approach:

1. Understand the Compass Directions:
- The compass has 8 primary directions: North (N), Northeast (NE), East (E), Southeast (SE), South (S), Southwest (SW), West (W), and Northwest (NW).
- A full circle is 360°, so each of these 8 directions is separated by 45°.

2. Perform Turns:
- Clockwise (CW): Moving in the direction of the hands of a clock.
- Anti-clockwise (ACW): Moving in the opposite direction of the hands of a clock.
- Use the starting direction and calculate the new direction based on the specified turn.

3. Key Calculations:
- 90° Turn: Moves you to the next adjacent direction.
- 180° Turn: Moves you to the opposite direction.
- 270° Turn: Equivalent to a 90° turn in the opposite direction.
- 360° Turn: Brings you back to the starting direction.

Step-by-Step Solutions:

#### Question 1:
- Start: Face North.
- Turn: Make a 90° turn clockwise.
- Calculation: North → East (90° CW).
- Answer: East

#### Question 2:
- Start: Face Southwest (SW).
- Turn: Make a ½ turn anti-clockwise.
- Calculation: SW → West (180° ÷ 2 = 90° ACW).
- Answer: West

#### Question 3:
- Start: Face Northwest (NW).
- Turn: Make a ¼ turn clockwise.
- Calculation: NW → North (90° ÷ 2 = 45° CW).
- Answer: North

#### Question 4:
- Start: Face West.
- Turn 1: Make a 180° turn anti-clockwise.
- West → East (180° ACW).
- Turn 2: Make a ¼ turn clockwise.
- East → Southeast (45° CW).
- Answer: Southeast

#### Question 5:
- Start: Face Southwest (SW).
- Turn 1: Make a ¼ turn clockwise.
- SW → South (45° CW).
- Turn 2: Make a 180° turn anti-clockwise.
- South → North (180° ACW).
- Answer: North

#### Question 6:
- Start: Face East.
- Turn 1: Make a 180° turn anti-clockwise.
- East → West (180° ACW).
- Turn 2: Make a ¼ turn clockwise.
- West → Northwest (45° CW).
- Answer: Northwest

#### Question 7:
- Start: Face Southeast (SE).
- Turn: Make a ¼ turn clockwise.
- SE → South (45° CW).
- Answer: South

#### Question 8:
- Start: Face Northeast (NE).
- Turn: Make a 90° turn anti-clockwise.
- NE → North (90° ACW).
- Answer: North

#### Question 9:
- Start: Face South.
- Turn: Make a 360° turn clockwise.
- South → South (360° CW brings you back to the start).
- Answer: South

#### Question 10:
- Start: Face Southeast (SE).
- Turn: Make a 90° turn anti-clockwise.
- SE → East (90° ACW).
- Answer: East

Final Answers:

1. East
2. West
3. North
4. Southeast
5. North
6. Northwest
7. South
8. North
9. South
10. East

Boxed Final Answer:

\[
\boxed{
\begin{array}{l}
1. \text{East} \\
2. \text{West} \\
3. \text{North} \\
4. \text{Southeast} \\
5. \text{North} \\
6. \text{Northwest} \\
7. \text{South} \\
8. \text{North} \\
9. \text{South} \\
10. \text{East}
\end{array}
}
\]