Patterns in Mathematics — Class 6 Mathematics NCERT Solutions (Free)

Free step-by-step NCERT solutions for Class 6 Mathematics chapter "Patterns in Mathematics" — 8 important questions with detailed answers for CBSE board exam preparation.

TL;DR: Free step-by-step NCERT solutions for Class 6 Mathematics chapter "Patterns in Mathematics" — 8 important questions with detailed answers for CBSE boa…

By Syllab.in · Updated Jun 14, 2026

Key Questions Covered:

What is the next number in the pattern: 2, 4, 6, 8, 10, ___?
Write the next three numbers in the pattern: 5, 10, 15, 20, ___?
What comes next in the pattern: 1, 1, 2, 3, 5, 8, ___?
Find the missing number in the pattern: 3, 6, 9, ___, 15, 18
What is the rule for the pattern: 2, 4, 8, 16, 32? Write the rule in words.
Complete the pattern: 100, 90, 80, 70, ___, ___, ___
+ 2 more questions in the full chapter

Solutions Summary:

Question	Status
What is the next number in the pattern: 2, 4, 6, 8, 10, ___?	✓ Solved
Write the next three numbers in the pattern: 5, 10, 15, 2…	✓ Solved
What comes next in the pattern: 1, 1, 2, 3, 5, 8, ___?	✓ Solved
Find the missing number in the pattern: 3, 6, 9, ___, 15, 18	✓ Solved
What is the rule for the pattern: 2, 4, 8, 16, 32? Write …	✓ Solved
Complete the pattern: 100, 90, 80, 70, ___, ___, ___	✓ Solved

Showing 6 of 8 questions

Q1: What is the next number in the pattern: 2, 4, 6, 8, 10, ___?

This is a sequence where each number increases by 2. Step 1: Find the difference between consecutive numbers 4 - 2 = 2 6 - 4 = 2 8 - 6 = 2 Step 2: The pattern is "add 2 to get the next number" Step 3: 10 + 2 = 12 Answer: 12

Q2: Write the next three numbers in the pattern: 5, 10, 15, 20, ___?

This is a sequence where each number increases by 5 (multiples of 5). Step 1: Find the difference between consecutive numbers 10 - 5 = 5 15 - 10 = 5 Step 2: The pattern rule is "add 5 each time" Step 3: Continue the pattern 20 + 5 = 25 25 + 5 = 30 30 + 5 = 35 Answer: 25, 30, 35

Q3: What comes next in the pattern: 1, 1, 2, 3, 5, 8, ___?

This is the Fibonacci pattern where each number is the sum of the two numbers before it. Step 1: Check if each number = previous two numbers added 1 + 1 = 2 ✓ 1 + 2 = 3 ✓ 2 + 3 = 5 ✓ 3 + 5 = 8 ✓ Step 2: Apply the rule to find the next number The two numbers before are 5 and 8 Step 3: 5 + 8 = 13 Answer: 13

Q4: Find the missing number in the pattern: 3, 6, 9, ___, 15, 18

This is a sequence of multiples of 3. Step 1: Find the pattern by checking differences 6 - 3 = 3 9 - 6 = 3 Step 2: Each number increases by 3 Step 3: The missing number is 9 + 3 = 12 Step 4: Check: 12 + 3 = 15 ✓ and 15 + 3 = 18 ✓ Answer: 12

Q5: What is the rule for the pattern: 2, 4, 8, 16, 32? Write the rule in words.

This is a pattern where each number is multiplied by 2. Step 1: Check the relationship between consecutive numbers 4 ÷ 2 = 2 8 ÷ 4 = 2 16 ÷ 8 = 2 32 ÷ 16 = 2 Step 2: Each number is 2 times the previous number Answer: The rule is "multiply the previous number by 2" or "each term is double the term before it"

Q6: Complete the pattern: 100, 90, 80, 70, _, _, ___

This is a decreasing pattern where each number decreases by 10. Step 1: Find the difference between consecutive numbers 90 - 100 = -10 80 - 90 = -10 70 - 80 = -10 Step 2: The rule is "subtract 10 from the previous number" Step 3: Continue the pattern 70 - 10 = 60 60 - 10 = 50 50 - 10 = 40 Answer: 60, 50, 40

Showing 6 of 8 questions. Visit the full page for complete solutions.