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Modular Arithmetic - Absolute-Beginner Level: core concept mastery Modular Arithmetic ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Modular Arithmetic - a key topic in Number Letter Codes. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master modular arithmetic problems, modular arithmetic reasoning questions, and modular arithmetic practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:
Your progress through Modular Arithmetic
Worksheet 1 of 10 (0% complete)

Question 1

If letters are coded as (position mod 9), 'LETTER' becomes?
Modular coding: L=12%9=3, E=5%9=5, T=20%9=2, T=20%9=2, E=5%9=5, R=18%9=0 → concatenated = 352250

Question 2

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 3

If letters are coded as (position mod 9), 'WORLD' becomes?
Modular coding: W=23%9=5, O=15%9=6, R=18%9=0, L=12%9=3, D=4%9=4 → concatenated = 56034

Question 4

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 5

If letters are coded as (position mod 7), 'LETTER' becomes?
Modular coding: L=12%7=5, E=5%7=5, T=20%7=6, T=20%7=6, E=5%7=5, R=18%7=4 → concatenated = 556654

Question 6

If letters are coded as (position mod 7), 'NUMBER' becomes?
Modular coding: N=14%7=0, U=21%7=0, M=13%7=6, B=2%7=2, E=5%7=5, R=18%7=4 → concatenated = 006254

Question 7

If letters are coded as (position mod 7), 'HELLO' becomes?
Modular coding: H=8%7=1, E=5%7=5, L=12%7=5, L=12%7=5, O=15%7=1 → concatenated = 15551

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 9), 'NUMBER' becomes?
Modular coding: N=14%9=5, U=21%9=3, M=13%9=4, B=2%9=2, E=5%9=5, R=18%9=0 → concatenated = 534250

Question 10

If letters are coded as (position mod 9), 'LETTER' becomes?
Modular coding: L=12%9=3, E=5%9=5, T=20%9=2, T=20%9=2, E=5%9=5, R=18%9=0 → concatenated = 352250

Question 11

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 12

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 13

If letters are coded as (position mod 9), 'LETTER' becomes?
Modular coding: L=12%9=3, E=5%9=5, T=20%9=2, T=20%9=2, E=5%9=5, R=18%9=0 → concatenated = 352250

Question 14

If letters are coded as (position mod 5), 'CODING' becomes?
Modular coding: C=3%5=3, O=15%5=0, D=4%5=4, I=9%5=4, N=14%5=4, G=7%5=2 → concatenated = 304442

Question 15

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 16

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 17

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 18

If letters are coded as (position mod 7), 'WORLD' becomes?
Modular coding: W=23%7=2, O=15%7=1, R=18%7=4, L=12%7=5, D=4%7=4 → concatenated = 21454

Question 19

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 20

If letters are coded as (position mod 8), 'CODING' becomes?
Modular coding: C=3%8=3, O=15%8=7, D=4%8=4, I=9%8=1, N=14%8=6, G=7%8=7 → concatenated = 374167
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