Lesson 2.2: Route Planning, Maps, and Treasure Hunt Navigation
Plot shortest paths, interpret simple trail maps, and calculate step distances across grid labyrinths.
⏱️ Reading Time: 15 mins
• ❓ 50 Interactive Practice Questions
🌟
Real-Life Story: Spatial Awareness and Directions
During a nature reserve scavenger hunt, Scouts follow a map with directional clues: 'Walk 5 paces North, take a quarter turn clockwise, and walk 8 paces East to find the ancient pine tree.'
💡 Core Mathematical Concepts: Route Planning & Navigation
Focus areas: Shortest route, grid blocks, turning angles (quarter turn, half turn), navigation.
| Concept / Term | Mathematical Definition | Everyday Example |
|---|---|---|
| Route Planning | Finding the safest and most efficient path from a start point to a destination on a map | Avoiding impassable obstacles on a city grid |
| Quarter Turn Clockwise | A 90° right turn in the direction clock hands move (facing North turns you to face East) | Facing North → turn clockwise → face East |
| Half Turn (180°) | Turning completely around to face the opposite direction (facing North turns you to face South) | Reversing direction on a trail |
| Grid Distance (Manhattan Distance) | Counting horizontal blocks plus vertical blocks traveled without moving diagonally | Moving from (1,1) to (4,5) is 3 horizontal + 4 vertical = 7 blocks |
🔍 Practical Classroom & Everyday Examples
Example 1: Counting Grid Blocks
Count the segments/lines traveled between vertices, not the vertex dots themselves.
Example 2: Clockwise vs. Counter-Clockwise
Clockwise turns right like clock hands; counter-clockwise turns left.
⚠️ Watch Out! Common Mistakes to Avoid
Common Error: Moving diagonally when restricted to grid lines
Correction: Unless diagonal movement is permitted, travel strictly along grid lines.
Common Error: Forgetting your current facing orientation
Correction: A left turn depends on the direction you are currently facing, not just the paper's edge!
🎯 Quick Self-Check Challenge
If you are facing West and make a three-quarter turn clockwise, which direction are you now facing?
Answer & Explanation:
From West, 1 quarter turn clockwise faces North; 2 quarter turns face East; 3 quarter turns face South.
🎯 Key Learning Takeaways
Master Spatial Awareness and Directions fundamentals.
📄 Printable Worksheets (5 Available)
Download ready-to-print PDFs for offline student practice with separate parent/teacher answer keys.
G3-M-CH02-WS05
A4 • 15 Qs
Spatial Awareness and Directions — Worksheet 5
Grid Navigation, Bearings & Route Calculations (Archaeological Dig Site)
G3-M-CH02-WS04
A4 • 15 Qs
Spatial Awareness and Directions — Worksheet 4
Grid Navigation, Bearings & Route Calculations (Mountain Scout Expedition)
G3-M-CH02-WS03
A4 • 15 Qs
Spatial Awareness and Directions — Worksheet 3
Grid Navigation, Bearings & Route Calculations (Harbor Island Regatta)
G3-M-CH02-WS02
A4 • 15 Qs
Spatial Awareness and Directions — Worksheet 2
Grid Navigation, Bearings & Route Calculations (Wildlife Safari Trail)
G3-M-CH02-WS01
A4 • 15 Qs
Spatial Awareness and Directions — Worksheet 1
Grid Navigation, Bearings & Route Calculations (Botanical Garden Maze)
✍️ Lesson Practice Questions (50 Questions)
Solve these real-world challenges online, test your understanding, and reveal instant step-by-step explanations.
1
Short Answer
Hard
2 Marks
A robot faces North. It executes 5 successive quarter turns clockwise. In which direction is it facing at the end?
A
East
B
South
C
West
D
North
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
East
Step-by-Step Explanation:
4 quarter turns = 360° (back to North). The 5th quarter turn faces East.
2
Short Answer
Hard
2 Marks
A search rescue drone patrols a perimeter grid. It flies from (2, 2) to (10, 2), then to (10, 8), then to (2, 8), and returns to (2, 2). What is the total perimeter distance flown?
A
28 units
B
48 units
C
26 units
D
14 units
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
28 units
Step-by-Step Explanation:
Perimeter of rectangle = 2 × (length + width) = 2 × (8 + 6) = 28 units.
3
Short Answer
Hard
2 Marks
If you walk in a closed square loop: 10 meters North, 10 meters East, 10 meters South, and 10 meters West, where do you end up?
A
Exactly at your original starting point
B
10 meters North of start
C
20 meters East of start
D
40 meters away from start
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Exactly at your original starting point
Step-by-Step Explanation:
The North and South movements cancel each other (10 - 10 = 0), and East and West cancel each other (10 - 10 = 0).
4
Short Answer
Hard
2 Marks
Why are compass directions (N, S, E, W) universally preferred over 'left' and 'right' when giving long-distance directions on maps?
A
Compass directions are absolute and unchanging regardless of which way a person faces, whereas 'left' and 'right' change depending on your body's orientation
B
Compass directions are easier to spell
C
Maps do not allow turns
D
Left and right are only used indoors
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Compass directions are absolute and unchanging regardless of which way a person faces, whereas 'left' and 'right' change depending on your body's orientation
Step-by-Step Explanation:
Cardinal directions provide invariant reference frames independent of the traveler's momentary viewpoint.
5
Short Answer
Medium
1 Mark
A student says: 'If I am facing East and make two quarter turns clockwise, I will be facing North.' What direction will the student actually face?
A
West
B
South
C
North
D
East
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
West
Step-by-Step Explanation:
Two quarter turns clockwise = 180° half turn. The opposite of East is West.
6
Short Answer
Medium
1 Mark
Kiran reads a treasure map and records location (4, 7) as 'Row 4, Column 7'. What is Kiran's error?
A
In coordinate notation (x, y), the first number is the horizontal column (x = 4) and the second is the vertical row (y = 7)
B
Coordinates always start with zero
C
Coordinates must be multiplied together
D
There is no error; row is always first
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
In coordinate notation (x, y), the first number is the horizontal column (x = 4) and the second is the vertical row (y = 7)
Step-by-Step Explanation:
Standard Cartesian coordinates list horizontal (column / x) before vertical (row / y).
7
Fill in the Blanks
Medium
1 Mark
Find the missing turn: 'Facing North, turn quarter turn clockwise (face East), then turn [ ? ] to face South.'
A
Quarter turn clockwise (90°)
B
Half turn (180°)
C
Full turn (360°)
D
Quarter turn counter-clockwise
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Quarter turn clockwise (90°)
Step-by-Step Explanation:
From East, a 90° clockwise turn faces South.
8
Fill in the Blanks
Medium
1 Mark
A treasure chest is buried at grid location (12, 9). A pirate starts at (8, 6). How many blocks East and North must the pirate walk?
A
4 blocks East and 3 blocks North
B
3 blocks East and 4 blocks North
C
5 blocks East and 2 blocks North
D
4 blocks East and 4 blocks North
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 blocks East and 3 blocks North
Step-by-Step Explanation:
East: (12) - 8 = 4 blocks. North: (9) - 6 = 3 blocks.
9
Short Answer
Medium
1 Mark
A hiker on the Archaeological Dig Site is facing South. After making a half turn (180°), which direction are they facing, and which way should they turn 90° to face West?
A
Facing North; turn counter-clockwise 90° to face West
B
Facing East; turn clockwise
C
Facing South; do not turn
D
Facing West; turn clockwise
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Facing North; turn counter-clockwise 90° to face West
Step-by-Step Explanation:
A half turn from South faces North. From North, a 90° counter-clockwise (left) turn faces West.
10
Short Answer
Medium
1 Mark
A delivery van starts at warehouse (0, 0) and makes 3 drops: (2, 0), then (2, 4), then (5, 4). If each grid unit is 1 km, what total driving distance did the van cover?
A
9 km
B
8 km
C
10 km
D
11 km
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
9 km
Step-by-Step Explanation:
From (0,0) to (2,0) is 2 km. From (2,0) to (2,4) is 4 km. From (2,4) to (5,4) is 3 km. 2 + 4 + 3 = 9 km.
11
Short Answer
Medium
1 Mark
At the Archaeological Dig Site, a guide walks 8 blocks East, then 6 blocks North, and finally 2 blocks West. What is the guide's net horizontal distance from start?
A
6 blocks East
B
10 blocks East
C
8 blocks East
D
6 blocks North
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6 blocks East
Step-by-Step Explanation:
8 East minus 2 West = 6 blocks East.
12
Multiple Choice
Easy
1 Mark
How many quarter turns (90°) are in one complete full turn (360°)?
A
4 quarter turns
B
2 quarter turns
C
3 quarter turns
D
6 quarter turns
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 quarter turns
Step-by-Step Explanation:
360° ÷ 90° = 4 quarter turns make one full rotation.
13
Multiple Choice
Easy
1 Mark
On a coordinate map, a rover starts at (1, 1) and travels 8 units East and 6 units North. What is the rover's final coordinate?
A
(9, 7)
B
(7, 9)
C
(8, 6)
D
(10, 7)
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
(9, 7)
Step-by-Step Explanation:
Horizontal: 1 + 8 = 9. Vertical: 1 + 6 = 7. Coordinate is (9, 7).
14
Multiple Choice
Easy
1 Mark
If you are facing North and make a 90° quarter turn clockwise, which direction do you face?
A
East
B
West
C
South
D
North-East
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
East
Step-by-Step Explanation:
A quarter turn clockwise from North faces East.
15
Multiple Choice
Easy
1 Mark
Which cardinal direction is directly opposite to West on a standard compass rose?
A
East
B
North
C
South
D
North-West
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
East
Step-by-Step Explanation:
East is directly opposite West.
16
Short Answer
Hard
2 Marks
A robot faces North. It executes 5 successive quarter turns clockwise. In which direction is it facing at the end?
A
East
B
South
C
West
D
North
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
East
Step-by-Step Explanation:
4 quarter turns = 360° (back to North). The 5th quarter turn faces East.
17
Short Answer
Hard
2 Marks
A search rescue drone patrols a perimeter grid. It flies from (2, 2) to (9, 2), then to (9, 4), then to (2, 4), and returns to (2, 2). What is the total perimeter distance flown?
A
18 units
B
14 units
C
16 units
D
9 units
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
18 units
Step-by-Step Explanation:
Perimeter of rectangle = 2 × (length + width) = 2 × (7 + 2) = 18 units.
18
Short Answer
Hard
2 Marks
If you walk in a closed square loop: 10 meters North, 10 meters East, 10 meters South, and 10 meters West, where do you end up?
A
Exactly at your original starting point
B
10 meters North of start
C
20 meters East of start
D
40 meters away from start
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Exactly at your original starting point
Step-by-Step Explanation:
The North and South movements cancel each other (10 - 10 = 0), and East and West cancel each other (10 - 10 = 0).
19
Short Answer
Hard
2 Marks
Why are compass directions (N, S, E, W) universally preferred over 'left' and 'right' when giving long-distance directions on maps?
A
Compass directions are absolute and unchanging regardless of which way a person faces, whereas 'left' and 'right' change depending on your body's orientation
B
Compass directions are easier to spell
C
Maps do not allow turns
D
Left and right are only used indoors
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Compass directions are absolute and unchanging regardless of which way a person faces, whereas 'left' and 'right' change depending on your body's orientation
Step-by-Step Explanation:
Cardinal directions provide invariant reference frames independent of the traveler's momentary viewpoint.
20
Short Answer
Medium
1 Mark
A student says: 'If I am facing East and make two quarter turns clockwise, I will be facing North.' What direction will the student actually face?
A
West
B
South
C
North
D
East
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
West
Step-by-Step Explanation:
Two quarter turns clockwise = 180° half turn. The opposite of East is West.
21
Short Answer
Medium
1 Mark
Kiran reads a treasure map and records location (4, 7) as 'Row 4, Column 7'. What is Kiran's error?
A
In coordinate notation (x, y), the first number is the horizontal column (x = 4) and the second is the vertical row (y = 7)
B
Coordinates always start with zero
C
Coordinates must be multiplied together
D
There is no error; row is always first
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
In coordinate notation (x, y), the first number is the horizontal column (x = 4) and the second is the vertical row (y = 7)
Step-by-Step Explanation:
Standard Cartesian coordinates list horizontal (column / x) before vertical (row / y).
22
Fill in the Blanks
Medium
1 Mark
Find the missing turn: 'Facing North, turn quarter turn clockwise (face East), then turn [ ? ] to face South.'
A
Quarter turn clockwise (90°)
B
Half turn (180°)
C
Full turn (360°)
D
Quarter turn counter-clockwise
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Quarter turn clockwise (90°)
Step-by-Step Explanation:
From East, a 90° clockwise turn faces South.
23
Fill in the Blanks
Medium
1 Mark
A treasure chest is buried at grid location (11, 5). A pirate starts at (7, 2). How many blocks East and North must the pirate walk?
A
4 blocks East and 3 blocks North
B
3 blocks East and 4 blocks North
C
5 blocks East and 2 blocks North
D
4 blocks East and 4 blocks North
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 blocks East and 3 blocks North
Step-by-Step Explanation:
East: (11) - 7 = 4 blocks. North: (5) - 2 = 3 blocks.
24
Short Answer
Medium
1 Mark
A hiker on the Mountain Scout Expedition is facing South. After making a half turn (180°), which direction are they facing, and which way should they turn 90° to face West?
A
Facing North; turn counter-clockwise 90° to face West
B
Facing East; turn clockwise
C
Facing South; do not turn
D
Facing West; turn clockwise
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Facing North; turn counter-clockwise 90° to face West
Step-by-Step Explanation:
A half turn from South faces North. From North, a 90° counter-clockwise (left) turn faces West.
25
Short Answer
Medium
1 Mark
A delivery van starts at warehouse (0, 0) and makes 3 drops: (2, 0), then (2, 4), then (5, 4). If each grid unit is 1 km, what total driving distance did the van cover?
A
9 km
B
8 km
C
10 km
D
11 km
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
9 km
Step-by-Step Explanation:
From (0,0) to (2,0) is 2 km. From (2,0) to (2,4) is 4 km. From (2,4) to (5,4) is 3 km. 2 + 4 + 3 = 9 km.
26
Short Answer
Medium
1 Mark
At the Mountain Scout Expedition, a guide walks 7 blocks East, then 2 blocks North, and finally 2 blocks West. What is the guide's net horizontal distance from start?
A
5 blocks East
B
9 blocks East
C
7 blocks East
D
2 blocks North
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5 blocks East
Step-by-Step Explanation:
7 East minus 2 West = 5 blocks East.
27
Multiple Choice
Easy
1 Mark
How many quarter turns (90°) are in one complete full turn (360°)?
A
4 quarter turns
B
2 quarter turns
C
3 quarter turns
D
6 quarter turns
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 quarter turns
Step-by-Step Explanation:
360° ÷ 90° = 4 quarter turns make one full rotation.
28
Multiple Choice
Easy
1 Mark
On a coordinate map, a rover starts at (1, 1) and travels 7 units East and 2 units North. What is the rover's final coordinate?
A
(8, 3)
B
(3, 8)
C
(7, 2)
D
(9, 3)
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
(8, 3)
Step-by-Step Explanation:
Horizontal: 1 + 7 = 8. Vertical: 1 + 2 = 3. Coordinate is (8, 3).
29
Multiple Choice
Easy
1 Mark
If you are facing North and make a 90° quarter turn clockwise, which direction do you face?
A
East
B
West
C
South
D
North-East
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
East
Step-by-Step Explanation:
A quarter turn clockwise from North faces East.
30
Multiple Choice
Easy
1 Mark
Which cardinal direction is directly opposite to West on a standard compass rose?
A
East
B
North
C
South
D
North-West
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
East
Step-by-Step Explanation:
East is directly opposite West.
31
Short Answer
Hard
2 Marks
A robot faces North. It executes 5 successive quarter turns clockwise. In which direction is it facing at the end?
A
East
B
South
C
West
D
North
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
East
Step-by-Step Explanation:
4 quarter turns = 360° (back to North). The 5th quarter turn faces East.
32
Short Answer
Hard
2 Marks
A search rescue drone patrols a perimeter grid. It flies from (2, 2) to (7, 2), then to (7, 6), then to (2, 6), and returns to (2, 2). What is the total perimeter distance flown?
A
18 units
B
20 units
C
16 units
D
9 units
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
18 units
Step-by-Step Explanation:
Perimeter of rectangle = 2 × (length + width) = 2 × (5 + 4) = 18 units.
33
Short Answer
Hard
2 Marks
If you walk in a closed square loop: 10 meters North, 10 meters East, 10 meters South, and 10 meters West, where do you end up?
A
Exactly at your original starting point
B
10 meters North of start
C
20 meters East of start
D
40 meters away from start
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Exactly at your original starting point
Step-by-Step Explanation:
The North and South movements cancel each other (10 - 10 = 0), and East and West cancel each other (10 - 10 = 0).
34
Short Answer
Hard
2 Marks
Why are compass directions (N, S, E, W) universally preferred over 'left' and 'right' when giving long-distance directions on maps?
A
Compass directions are absolute and unchanging regardless of which way a person faces, whereas 'left' and 'right' change depending on your body's orientation
B
Compass directions are easier to spell
C
Maps do not allow turns
D
Left and right are only used indoors
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Compass directions are absolute and unchanging regardless of which way a person faces, whereas 'left' and 'right' change depending on your body's orientation
Step-by-Step Explanation:
Cardinal directions provide invariant reference frames independent of the traveler's momentary viewpoint.
35
Short Answer
Medium
1 Mark
A student says: 'If I am facing East and make two quarter turns clockwise, I will be facing North.' What direction will the student actually face?
A
West
B
South
C
North
D
East
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
West
Step-by-Step Explanation:
Two quarter turns clockwise = 180° half turn. The opposite of East is West.
36
Short Answer
Medium
1 Mark
Kiran reads a treasure map and records location (4, 7) as 'Row 4, Column 7'. What is Kiran's error?
A
In coordinate notation (x, y), the first number is the horizontal column (x = 4) and the second is the vertical row (y = 7)
B
Coordinates always start with zero
C
Coordinates must be multiplied together
D
There is no error; row is always first
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
In coordinate notation (x, y), the first number is the horizontal column (x = 4) and the second is the vertical row (y = 7)
Step-by-Step Explanation:
Standard Cartesian coordinates list horizontal (column / x) before vertical (row / y).
37
Fill in the Blanks
Medium
1 Mark
Find the missing turn: 'Facing North, turn quarter turn clockwise (face East), then turn [ ? ] to face South.'
A
Quarter turn clockwise (90°)
B
Half turn (180°)
C
Full turn (360°)
D
Quarter turn counter-clockwise
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Quarter turn clockwise (90°)
Step-by-Step Explanation:
From East, a 90° clockwise turn faces South.
38
Fill in the Blanks
Medium
1 Mark
A treasure chest is buried at grid location (9, 7). A pirate starts at (5, 4). How many blocks East and North must the pirate walk?
A
4 blocks East and 3 blocks North
B
3 blocks East and 4 blocks North
C
5 blocks East and 2 blocks North
D
4 blocks East and 4 blocks North
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 blocks East and 3 blocks North
Step-by-Step Explanation:
East: (9) - 5 = 4 blocks. North: (7) - 4 = 3 blocks.
39
Short Answer
Medium
1 Mark
A hiker on the Harbor Island Regatta is facing South. After making a half turn (180°), which direction are they facing, and which way should they turn 90° to face West?
A
Facing North; turn counter-clockwise 90° to face West
B
Facing East; turn clockwise
C
Facing South; do not turn
D
Facing West; turn clockwise
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Facing North; turn counter-clockwise 90° to face West
Step-by-Step Explanation:
A half turn from South faces North. From North, a 90° counter-clockwise (left) turn faces West.
40
Short Answer
Medium
1 Mark
A delivery van starts at warehouse (0, 0) and makes 3 drops: (2, 0), then (2, 4), then (5, 4). If each grid unit is 1 km, what total driving distance did the van cover?
A
9 km
B
8 km
C
10 km
D
11 km
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
9 km
Step-by-Step Explanation:
From (0,0) to (2,0) is 2 km. From (2,0) to (2,4) is 4 km. From (2,4) to (5,4) is 3 km. 2 + 4 + 3 = 9 km.
41
Short Answer
Medium
1 Mark
At the Harbor Island Regatta, a guide walks 5 blocks East, then 4 blocks North, and finally 2 blocks West. What is the guide's net horizontal distance from start?
A
3 blocks East
B
7 blocks East
C
5 blocks East
D
4 blocks North
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 blocks East
Step-by-Step Explanation:
5 East minus 2 West = 3 blocks East.
42
Multiple Choice
Easy
1 Mark
How many quarter turns (90°) are in one complete full turn (360°)?
A
4 quarter turns
B
2 quarter turns
C
3 quarter turns
D
6 quarter turns
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 quarter turns
Step-by-Step Explanation:
360° ÷ 90° = 4 quarter turns make one full rotation.
43
Multiple Choice
Easy
1 Mark
On a coordinate map, a rover starts at (1, 1) and travels 5 units East and 4 units North. What is the rover's final coordinate?
A
(6, 5)
B
(5, 6)
C
(5, 4)
D
(7, 5)
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
(6, 5)
Step-by-Step Explanation:
Horizontal: 1 + 5 = 6. Vertical: 1 + 4 = 5. Coordinate is (6, 5).
44
Multiple Choice
Easy
1 Mark
If you are facing North and make a 90° quarter turn clockwise, which direction do you face?
A
East
B
West
C
South
D
North-East
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
East
Step-by-Step Explanation:
A quarter turn clockwise from North faces East.
45
Multiple Choice
Easy
1 Mark
Which cardinal direction is directly opposite to West on a standard compass rose?
A
East
B
North
C
South
D
North-West
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
East
Step-by-Step Explanation:
East is directly opposite West.
46
Short Answer
Hard
2 Marks
A robot faces North. It executes 5 successive quarter turns clockwise. In which direction is it facing at the end?
A
East
B
South
C
West
D
North
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
East
Step-by-Step Explanation:
4 quarter turns = 360° (back to North). The 5th quarter turn faces East.
47
Short Answer
Hard
2 Marks
A search rescue drone patrols a perimeter grid. It flies from (2, 2) to (8, 2), then to (8, 7), then to (2, 7), and returns to (2, 2). What is the total perimeter distance flown?
A
22 units
B
30 units
C
20 units
D
11 units
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
22 units
Step-by-Step Explanation:
Perimeter of rectangle = 2 × (length + width) = 2 × (6 + 5) = 22 units.
48
Short Answer
Hard
2 Marks
If you walk in a closed square loop: 10 meters North, 10 meters East, 10 meters South, and 10 meters West, where do you end up?
A
Exactly at your original starting point
B
10 meters North of start
C
20 meters East of start
D
40 meters away from start
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Exactly at your original starting point
Step-by-Step Explanation:
The North and South movements cancel each other (10 - 10 = 0), and East and West cancel each other (10 - 10 = 0).
49
Short Answer
Hard
2 Marks
Why are compass directions (N, S, E, W) universally preferred over 'left' and 'right' when giving long-distance directions on maps?
A
Compass directions are absolute and unchanging regardless of which way a person faces, whereas 'left' and 'right' change depending on your body's orientation
B
Compass directions are easier to spell
C
Maps do not allow turns
D
Left and right are only used indoors
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Correct Answer:
Compass directions are absolute and unchanging regardless of which way a person faces, whereas 'left' and 'right' change depending on your body's orientation
Step-by-Step Explanation:
Cardinal directions provide invariant reference frames independent of the traveler's momentary viewpoint.
50
Short Answer
Medium
1 Mark
A student says: 'If I am facing East and make two quarter turns clockwise, I will be facing North.' What direction will the student actually face?
A
West
B
South
C
North
D
East
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Correct Answer:
West
Step-by-Step Explanation:
Two quarter turns clockwise = 180° half turn. The opposite of East is West.