The square grid below shows the positions of points A, B, C, D, E, F and G.

- (a)
In what direction is point E from point B?
Ans : ___
- (b)
Kayel stood at one of the points facing C. After he turned anti-clockwise, he faced G. Which point was Kayel at?
Ans : Point ___
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Worked solution
23(a)
1. Determine the relative position of E from B on the grid
Point B is at column 3, row 1 (top border).
Point E is at column 5 (right border), row 3.
From B to E, the movement is units to the right (East) and units down (South).
2. Determine the compass direction based on the relative movement
Since the movement is equal units East and South (2 units each), the direction is exactly halfway between South and East, which is South-East.
South-East
23(b)
1. Understand the rotation and relative positions
Kayel turns anti-clockwise from facing C to face G. This means the angle between the line of sight to C and the line of sight to G is , with C being clockwise from G.
2. Test possible points for Kayel's position
Let's check the points. The angle between the line to C and the line to G must be .
From D (row 3, col 4):
- C is at (row 2, col 4), which is exactly North of D.
- G is at (row 3, col 2), which is exactly West of D.
- The angle between North (facing C) and West (facing G) is , not .
From F (row 5, col 3): - C is at (row 2, col 4). Vector FC is 1 unit right, 3 units up.
- G is at (row 3, col 2). Vector FG is 1 unit left, 2 units up.
- The angle is not .
From A (row 2, col 1): - C is at (row 2, col 4), exactly East.
- G is at (row 3, col 2), 1 unit right, 1 unit down (South-East).
- The angle between East and South-East is . If Kayel is at A facing C (East), turning clockwise would face G. But the question says anti-clockwise.
From E (row 3, col 5): - C is at (row 2, col 4), 1 unit left, 1 unit up (North-West).
- G is at (row 3, col 2), exactly West.
- Facing C (North-West) and turning anti-clockwise brings the direction to West, which is exactly facing G.
D
AI analysis — may contain mistakes.
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