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Minimum Distance Beginner-Intermediate Worksheet: Focus on common variations practice Minimum Distance BEGINNER INTERMEDIATE

Level up your Minimum Distance skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: minimum distance for competitive exams, how to solve minimum distance, minimum distance tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

What you'll learn in this worksheet:
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Worksheet 4 of 10 (33% complete)

Question 1

A person walks 3 m North, then 4 m East. What is the straight-line distance from the starting point?
Step-by-step:
1. These are perpendicular movements
2. Straight-line distance = √(3² + 4²) = √25 = 5 m

Question 2

From point X, a person goes 24 m East, then 10 m North. What is the shortest distance from point X?
Step-by-step:
1. The path forms a right triangle
2. Shortest distance = √(24² + 10²) = √676 = 26 m

Question 3

A person travels 9 m West, then 12 m South. Find the shortest distance from the starting point.
Step-by-step:
1. West and South are perpendicular directions
2. Shortest distance = √(9² + 12²) = √225 = 15 m

Question 4

From point X, a person goes 12 m East, then 16 m North. What is the shortest distance from point X?
Step-by-step:
1. The path forms a right triangle
2. Shortest distance = √(12² + 16²) = √400 = 20 m

Question 5

A person travels 24 m West, then 10 m South. Find the shortest distance from the starting point.
Step-by-step:
1. West and South are perpendicular directions
2. Shortest distance = √(24² + 10²) = √676 = 26 m

Question 6

A person walks 9 m North, then 12 m East. What is the straight-line distance from the starting point?
Step-by-step:
1. These are perpendicular movements
2. Straight-line distance = √(9² + 12²) = √225 = 15 m

Question 7

A person travels 12 m West, then 16 m South. Find the shortest distance from the starting point.
Step-by-step:
1. West and South are perpendicular directions
2. Shortest distance = √(12² + 16²) = √400 = 20 m

Question 8

A person travels 15 m West, then 20 m South. Find the shortest distance from the starting point.
Step-by-step:
1. West and South are perpendicular directions
2. Shortest distance = √(15² + 20²) = √625 = 25 m

Question 9

A person walks 7 m North, then 24 m East. What is the straight-line distance from the starting point?
Step-by-step:
1. These are perpendicular movements
2. Straight-line distance = √(7² + 24²) = √625 = 25 m

Question 10

A person walks 15 m North, then 20 m East. What is the straight-line distance from the starting point?
Step-by-step:
1. These are perpendicular movements
2. Straight-line distance = √(15² + 20²) = √625 = 25 m

Question 11

A person travels 5 m West, then 12 m South. Find the shortest distance from the starting point.
Step-by-step:
1. West and South are perpendicular directions
2. Shortest distance = √(5² + 12²) = √169 = 13 m

Question 12

A person walks 7 m North, then 24 m East. What is the straight-line distance from the starting point?
Step-by-step:
1. These are perpendicular movements
2. Straight-line distance = √(7² + 24²) = √625 = 25 m

Question 13

A person walks 5 m North, then 12 m East. What is the straight-line distance from the starting point?
Step-by-step:
1. These are perpendicular movements
2. Straight-line distance = √(5² + 12²) = √169 = 13 m

Question 14

A person walks 12 m North, then 16 m East. What is the straight-line distance from the starting point?
Step-by-step:
1. These are perpendicular movements
2. Straight-line distance = √(12² + 16²) = √400 = 20 m

Question 15

A person walks 8 m North, then 6 m East. What is the straight-line distance from the starting point?
Step-by-step:
1. These are perpendicular movements
2. Straight-line distance = √(8² + 6²) = √100 = 10 m

Question 16

A person walks 24 m North, then 10 m East. What is the straight-line distance from the starting point?
Step-by-step:
1. These are perpendicular movements
2. Straight-line distance = √(24² + 10²) = √676 = 26 m

Question 17

A person travels 12 m West, then 16 m South. Find the shortest distance from the starting point.
Step-by-step:
1. West and South are perpendicular directions
2. Shortest distance = √(12² + 16²) = √400 = 20 m

Question 18

A person walks 9 m North, then 12 m East. What is the straight-line distance from the starting point?
Step-by-step:
1. These are perpendicular movements
2. Straight-line distance = √(9² + 12²) = √225 = 15 m

Question 19

A person travels 7 m West, then 24 m South. Find the shortest distance from the starting point.
Step-by-step:
1. West and South are perpendicular directions
2. Shortest distance = √(7² + 24²) = √625 = 25 m

Question 20

From point X, a person goes 3 m East, then 4 m North. What is the shortest distance from point X?
Step-by-step:
1. The path forms a right triangle
2. Shortest distance = √(3² + 4²) = √25 = 5 m
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