Question 1
A person walks 12m West, then 38m North, then 19m West. What is the shortest distance between his starting and ending points?
Net displacement: (-31, 38). Shortest distance = √(-31² + 38²) = 49.0 m.
Shortest Distance: Worksheet 10 - Expert Practice Shortest Distance EXPERT
Ready to master Shortest Distance? This accuracy focus 👑 worksheet (10/10) presents 20 expert-level challenges. Focus area: application-based learning. Learn to solve shortest distance reasoning tricks, handle fast shortest distance solving, and perfect shortest distance mastery with our step-by-step solutions.
What you'll learn in this worksheet:
- Understand the logic behind fast shortest distance solving
- Learn step-by-step approaches to application-based learning
- Achieve mastery with the most difficult problem types
- Perfect your speed and accuracy under time pressure
- Master shortest distance reasoning tricks through focused practice
Your progress through Shortest Distance
Worksheet 10 of 10 (100% complete)
Question 2
A person walks 32m East, then 15m East. What is the shortest distance between his starting and ending points?
Net displacement: (47, 0). Shortest distance = √(47² + 0²) = 47.0 m.
Question 3
A person walks 40m South, then 29m North, then 17m East. What is the shortest distance between his starting and ending points?
Net displacement: (17, -11). Shortest distance = √(17² + -11²) = 20.2 m.
Question 4
A person walks 32m South, then 16m North, then 31m North. What is the shortest distance between his starting and ending points?
Net displacement: (0, 15). Shortest distance = √(0² + 15²) = 15.0 m.
Question 5
A person walks 20m West, then 10m East, then 16m South. What is the shortest distance between his starting and ending points?
Net displacement: (-10, -16). Shortest distance = √(-10² + -16²) = 18.9 m.
Question 6
A person walks 35m West, then 26m North, then 15m North. What is the shortest distance between his starting and ending points?
Net displacement: (-35, 41). Shortest distance = √(-35² + 41²) = 53.9 m.
Question 7
A person walks 21m North, then 34m West. What is the shortest distance between his starting and ending points?
Net displacement: (-34, 21). Shortest distance = √(-34² + 21²) = 40.0 m.
Question 8
A person walks 29m West, then 31m South. What is the shortest distance between his starting and ending points?
Net displacement: (-29, -31). Shortest distance = √(-29² + -31²) = 42.4 m.
Question 9
A person walks 39m North, then 28m North, then 11m East. What is the shortest distance between his starting and ending points?
Net displacement: (11, 67). Shortest distance = √(11² + 67²) = 67.9 m.
Question 10
A person walks 13m South, then 23m East. What is the shortest distance between his starting and ending points?
Net displacement: (23, -13). Shortest distance = √(23² + -13²) = 26.4 m.
Question 11
A person walks 32m North, then 20m West. What is the shortest distance between his starting and ending points?
Net displacement: (-20, 32). Shortest distance = √(-20² + 32²) = 37.7 m.
Question 12
A person walks 19m East, then 29m East, then 16m North. What is the shortest distance between his starting and ending points?
Net displacement: (48, 16). Shortest distance = √(48² + 16²) = 50.6 m.
Question 13
A person walks 33m East, then 26m East, then 24m East. What is the shortest distance between his starting and ending points?
Net displacement: (83, 0). Shortest distance = √(83² + 0²) = 83.0 m.
Question 14
A person walks 16m North, then 40m North, then 16m North. What is the shortest distance between his starting and ending points?
Net displacement: (0, 72). Shortest distance = √(0² + 72²) = 72.0 m.
Question 15
A person walks 24m South, then 31m West, then 27m West. What is the shortest distance between his starting and ending points?
Net displacement: (-58, -24). Shortest distance = √(-58² + -24²) = 62.8 m.
Question 16
A person walks 39m North, then 19m South, then 36m North. What is the shortest distance between his starting and ending points?
Net displacement: (0, 56). Shortest distance = √(0² + 56²) = 56.0 m.
Question 17
A person walks 26m North, then 39m South, then 35m West. What is the shortest distance between his starting and ending points?
Net displacement: (-35, -13). Shortest distance = √(-35² + -13²) = 37.3 m.
Question 18
A person walks 22m West, then 16m East. What is the shortest distance between his starting and ending points?
Net displacement: (-6, 0). Shortest distance = √(-6² + 0²) = 6.0 m.
Question 19
A person walks 12m South, then 32m North, then 19m West. What is the shortest distance between his starting and ending points?
Net displacement: (-19, 20). Shortest distance = √(-19² + 20²) = 27.6 m.
Question 20
A person walks 33m South, then 20m East, then 21m East. What is the shortest distance between his starting and ending points?
Net displacement: (41, -33). Shortest distance = √(41² + -33²) = 52.6 m.
🏆 Congratulations! You've mastered Shortest Distance - all 10 worksheets completed!