Question 1
A person walks 28m South, then 39m East, then 18m West. What is the shortest distance between his starting and ending points?
Net displacement: (21, -28). Shortest distance = √(21² + -28²) = 35.0 m.
Shortest Distance - Absolute-Beginner Level: core concept mastery Shortest Distance ABSOLUTE BEGINNER
This skill primer 🌟 worksheet focuses on Shortest Distance - a key topic in Direction Sense. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master shortest distance problems, shortest distance reasoning questions, and shortest distance practice through systematic practice.
What you'll learn in this worksheet:
- Master shortest distance problems through focused practice
- Understand the logic behind shortest distance reasoning questions
- Learn step-by-step approaches to core concept mastery
- Start with the absolute basics - no prior knowledge needed
- Learn fundamental concepts with simple examples
Your progress through Shortest Distance
Worksheet 1 of 10 (0% complete)
Question 2
A person walks 31m East, then 25m East, then 18m East. What is the shortest distance between his starting and ending points?
Net displacement: (74, 0). Shortest distance = √(74² + 0²) = 74.0 m.
Question 3
A person walks 17m East, then 10m West, then 25m South. What is the shortest distance between his starting and ending points?
Net displacement: (7, -25). Shortest distance = √(7² + -25²) = 26.0 m.
Question 4
A person walks 32m South, then 24m South. What is the shortest distance between his starting and ending points?
Net displacement: (0, -56). Shortest distance = √(0² + -56²) = 56.0 m.
Question 5
A person walks 14m West, then 15m East. What is the shortest distance between his starting and ending points?
Net displacement: (1, 0). Shortest distance = √(1² + 0²) = 1.0 m.
Question 6
A person walks 10m North, then 28m West. What is the shortest distance between his starting and ending points?
Net displacement: (-28, 10). Shortest distance = √(-28² + 10²) = 29.7 m.
Question 7
A person walks 31m East, then 15m East, then 38m South. What is the shortest distance between his starting and ending points?
Net displacement: (46, -38). Shortest distance = √(46² + -38²) = 59.7 m.
Question 8
A person walks 32m East, then 10m East, then 13m West. What is the shortest distance between his starting and ending points?
Net displacement: (29, 0). Shortest distance = √(29² + 0²) = 29.0 m.
Question 9
A person walks 25m South, then 12m East. What is the shortest distance between his starting and ending points?
Net displacement: (12, -25). Shortest distance = √(12² + -25²) = 27.7 m.
Question 10
A person walks 20m North, then 31m West. What is the shortest distance between his starting and ending points?
Net displacement: (-31, 20). Shortest distance = √(-31² + 20²) = 36.9 m.
Question 11
A person walks 39m North, then 34m North. What is the shortest distance between his starting and ending points?
Net displacement: (0, 73). Shortest distance = √(0² + 73²) = 73.0 m.
Question 12
A person walks 40m South, then 17m East. What is the shortest distance between his starting and ending points?
Net displacement: (17, -40). Shortest distance = √(17² + -40²) = 43.5 m.
Question 13
A person walks 28m East, then 21m West, then 28m West. What is the shortest distance between his starting and ending points?
Net displacement: (-21, 0). Shortest distance = √(-21² + 0²) = 21.0 m.
Question 14
A person walks 27m North, then 28m West. What is the shortest distance between his starting and ending points?
Net displacement: (-28, 27). Shortest distance = √(-28² + 27²) = 38.9 m.
Question 15
A person walks 17m West, then 34m North, then 16m North. What is the shortest distance between his starting and ending points?
Net displacement: (-17, 50). Shortest distance = √(-17² + 50²) = 52.8 m.
Question 16
A person walks 35m South, then 39m East, then 31m South. What is the shortest distance between his starting and ending points?
Net displacement: (39, -66). Shortest distance = √(39² + -66²) = 76.7 m.
Question 17
A person walks 22m West, then 34m East, then 37m West. What is the shortest distance between his starting and ending points?
Net displacement: (-25, 0). Shortest distance = √(-25² + 0²) = 25.0 m.
Question 18
A person walks 31m North, then 34m East, then 24m North. What is the shortest distance between his starting and ending points?
Net displacement: (34, 55). Shortest distance = √(34² + 55²) = 64.7 m.
Question 19
A person walks 34m South, then 32m West. What is the shortest distance between his starting and ending points?
Net displacement: (-32, -34). Shortest distance = √(-32² + -34²) = 46.7 m.
Question 20
A person walks 10m East, then 39m South. What is the shortest distance between his starting and ending points?
Net displacement: (10, -39). Shortest distance = √(10² + -39²) = 40.3 m.
🌟 Start your Shortest Distance journey here! Build strong foundations with this beginner worksheet.