Question 1
If letters are coded as (position mod 10), 'PYTHON' becomes?
Modular coding: P=16%10=6, Y=25%10=5, T=20%10=0, H=8%10=8, O=15%10=5, N=14%10=4 → concatenated = 650854
Modular Arithmetic: Worksheet 10 - Expert Practice Modular Arithmetic EXPERT
Ready to master Modular Arithmetic? This accuracy focus 👑 worksheet (10/10) presents 20 expert-level challenges. Focus area: application-based learning. Learn to solve modular arithmetic reasoning tricks, handle fast modular arithmetic solving, and perfect modular arithmetic mastery with our step-by-step solutions.
What you'll learn in this worksheet:
- Understand the logic behind fast modular arithmetic 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 modular arithmetic reasoning tricks through focused practice
Your progress through Modular Arithmetic
Worksheet 10 of 10 (100% complete)
Question 2
If letters are coded as (position mod 8), 'NUMBER' becomes?
Modular coding: N=14%8=6, U=21%8=5, M=13%8=5, B=2%8=2, E=5%8=5, R=18%8=2 → concatenated = 655252
Question 3
If letters are coded as (position mod 8), 'LETTER' becomes?
Modular coding: L=12%8=4, E=5%8=5, T=20%8=4, T=20%8=4, E=5%8=5, R=18%8=2 → concatenated = 454452
Question 4
If letters are coded as (position mod 8), 'PYTHON' becomes?
Modular coding: P=16%8=0, Y=25%8=1, T=20%8=4, H=8%8=0, O=15%8=7, N=14%8=6 → concatenated = 014076
Question 5
If letters are coded as (position mod 8), 'ALPHABET' becomes?
Modular coding: A=1%8=1, L=12%8=4, P=16%8=0, H=8%8=0, A=1%8=1, B=2%8=2, E=5%8=5, T=20%8=4 → concatenated = 14001254
Question 6
If letters are coded as (position mod 7), 'ALPHABET' becomes?
Modular coding: A=1%7=1, L=12%7=5, P=16%7=2, H=8%7=1, A=1%7=1, B=2%7=2, E=5%7=5, T=20%7=6 → concatenated = 15211256
Question 7
If letters are coded as (position mod 5), 'LETTER' becomes?
Modular coding: L=12%5=2, E=5%5=0, T=20%5=0, T=20%5=0, E=5%5=0, R=18%5=3 → concatenated = 200003
Question 8
If letters are coded as (position mod 5), 'HELLO' becomes?
Modular coding: H=8%5=3, E=5%5=0, L=12%5=2, L=12%5=2, O=15%5=0 → concatenated = 30220
Question 9
If letters are coded as (position mod 5), 'HELLO' becomes?
Modular coding: H=8%5=3, E=5%5=0, L=12%5=2, L=12%5=2, O=15%5=0 → concatenated = 30220
Question 10
If letters are coded as (position mod 9), 'PYTHON' becomes?
Modular coding: P=16%9=7, Y=25%9=7, T=20%9=2, H=8%9=8, O=15%9=6, N=14%9=5 → concatenated = 772865
Question 11
If letters are coded as (position mod 10), 'WORLD' becomes?
Modular coding: W=23%10=3, O=15%10=5, R=18%10=8, L=12%10=2, D=4%10=4 → concatenated = 35824
Question 12
If letters are coded as (position mod 9), 'CODING' becomes?
Modular coding: C=3%9=3, O=15%9=6, D=4%9=4, I=9%9=0, N=14%9=5, G=7%9=7 → concatenated = 364057
Question 13
If letters are coded as (position mod 8), 'LETTER' becomes?
Modular coding: L=12%8=4, E=5%8=5, T=20%8=4, T=20%8=4, E=5%8=5, R=18%8=2 → concatenated = 454452
Question 14
If letters are coded as (position mod 8), 'ALPHABET' becomes?
Modular coding: A=1%8=1, L=12%8=4, P=16%8=0, H=8%8=0, A=1%8=1, B=2%8=2, E=5%8=5, T=20%8=4 → concatenated = 14001254
Question 15
If letters are coded as (position mod 9), 'ALPHABET' becomes?
Modular coding: A=1%9=1, L=12%9=3, P=16%9=7, H=8%9=8, A=1%9=1, B=2%9=2, E=5%9=5, T=20%9=2 → concatenated = 13781252
Question 16
If letters are coded as (position mod 5), 'PYTHON' becomes?
Modular coding: P=16%5=1, Y=25%5=0, T=20%5=0, H=8%5=3, O=15%5=0, N=14%5=4 → concatenated = 100304
Question 17
If letters are coded as (position mod 10), 'NUMBER' becomes?
Modular coding: N=14%10=4, U=21%10=1, M=13%10=3, B=2%10=2, E=5%10=5, R=18%10=8 → concatenated = 413258
Question 18
If letters are coded as (position mod 8), 'LETTER' becomes?
Modular coding: L=12%8=4, E=5%8=5, T=20%8=4, T=20%8=4, E=5%8=5, R=18%8=2 → concatenated = 454452
Question 19
If letters are coded as (position mod 7), 'ALPHABET' becomes?
Modular coding: A=1%7=1, L=12%7=5, P=16%7=2, H=8%7=1, A=1%7=1, B=2%7=2, E=5%7=5, T=20%7=6 → concatenated = 15211256
Question 20
If letters are coded as (position mod 9), 'HELLO' becomes?
Modular coding: H=8%9=8, E=5%9=5, L=12%9=3, L=12%9=3, O=15%9=6 → concatenated = 85336
🏆 Congratulations! You've mastered Modular Arithmetic - all 10 worksheets completed!