What's the best way to master Prime Analogy quickly?

Master Prime Analogy by understanding the core concepts first, practicing regularly with our worksheets, and applying the shortcut techniques provided.

Prime Analogy

Prime Analogy problems involve number pairs where the second number is derived from the first using prime number properties. Common patterns include: next prime after A, previous prime before A, difference between A and next prime, or the nth prime number. These problems test knowledge of prime numbers.

10Worksheets

200+Practice Questions

AdvancedDifficulty

2-3 hoursHours to Master

What You'll Learn

Introduction & Overview Why This Matters How to Solve Pro Tips & Tricks

Shortcut Methods Common Mistakes Practice Worksheets Exam Importance

Introduction to Prime Analogy

Prerequisites

Prime numbers up to 100 Prime identification Prime gap understanding Next prime calculation

Why This Matters: Prime Analogy problems appear in 0-1 questions in advanced exams. They test prime number knowledge and pattern recognition.

How to Solve Prime Analogy Problems

Step 1: Identify the two numbers in the given analogy pair (A:B)

Step 2: Check if B is the next prime after A

Step 3: Check if B is the previous prime before A

Step 4: Check if B = A - k where k is prime gap

Step 5: Alternative: A is position, B is the Ath prime number

Step 6: Apply the same operation to the second pair's first number

Step 7: Present the answer

Pro Strategy: First determine if the relationship involves next prime, previous prime, prime gap, or prime index. Memorize prime numbers: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97.

Example Problem

Example: 7 : 11 :: 13 : ? Solution: Step 1: First pair: 7 and 11 Step 2: Next prime after 7 is 11 Step 3: Relationship: Second number = next prime after first Step 4: Apply to 13: Next prime after 13 is 17 Answer: 17

Pro Tips & Tricks

Primes up to 100: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97
Next prime after n: smallest prime > n
Previous prime before n: largest prime < n
Prime gap = next prime - current prime (e.g., 7→11 gap = 4)
The nth prime: 1st=2, 2nd=3, 3rd=5, 4th=7, 5th=11, 6th=13, 7th=17, 8th=19
Watch for patterns involving twin primes (3,5), (5,7), (11,13), (17,19)

Shortcut Methods to Solve Faster

If A:B with B = next prime after A, then answer = next prime after C

If A:B with B = previous prime before A, then answer = previous prime before C

If A:B with B = A-th prime, then answer = C-th prime

Memorize primes up to 50 for quick recall

Common Mistakes to Avoid

Including 1 as prime (1 is not prime)

Forgetting that 2 is prime (only even prime)

Confusing next prime with next number (e.g., next prime after 8 is 11, not 9)

Not recognizing prime gap patterns

Practice Worksheets

Practice makes perfect! Work through these worksheets to master Prime Analogy. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.

Worksheet 1 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 2 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 3 Beginner Beginner level - Perfect for building foundational understanding

Worksheet 4 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 5 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 6 Intermediate Intermediate level - Test your understanding with moderate difficulty

Worksheet 7 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 8 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 9 Advanced Advanced level - Challenge yourself with complex problems

Worksheet 10 Advanced Advanced level - Challenge yourself with complex problems