Certificates / Logical reasoning / Directions and Distances
Directions and Distances: lesson, then the certificate test
Step 1: the lesson (about 1 min)
Draw every move on a small sketch with North at the top.
- A right turn while facing North means East; while facing South it means West.
- The shortest distance back to the start uses Pythagoras: √(x² + y²).
- Name the final direction from the START point to the end point unless asked otherwise.
Worked example
Walk 6 km North, turn right and walk 8 km. How far are you from the start, and in which direction?
- Facing North, a right turn faces East
- Distance = √(6² + 8²) = √100 = 10 km
- You are North and East of the start
Answer: 10 km, North-East
Watch out
- Left and right depend on the way the person is facing at that moment.
Made by Shishya (AI-assisted): a general method in our own words, with our own example; no exam or platform question is copied.
Step 2: the test
- 15 questions from Shishya's checked question bank, 20 minutes. Pass mark: 11 correct.
- Scored on Shishya's server; the answers are not shown afterwards, so the test stays fair. Each attempt draws new questions.
- Free. Your first test needs no account; sign up free to take more. Your answers and score are not stored; if you pass, you choose the name to print (ages 13 and up).
- It is a Shishya completion certificate — not a university or government credential. The test is not supervised.