Patterns in Maths Class 6 — NCERT Chapter 1 with Solutions

NCERT Class 6 Maths Chapter 1 — Patterns in Mathematics — is the opening chapter of the new 2025-26 Ganita Prakash textbook. It shows students how mathematics helped propel humanity by letting us spot, describe and predict patterns in everything from odd numbers and counting numbers to calendars, trains, cars, planes, phones, computers, bicycles, TVs and even how democracy, bridges and houses are built.

Every pattern you meet here follows a rule. Once you find the rule, you can explain it with a picture, write it as a sequence, and even predict what comes 10 or 100 steps later. That single skill — spot the rule, use the rule — sits at the heart of every maths chapter you'll study from now on.

The NCERT textbook introduces several families of sequences. Each one has a distinct rule, a distinct picture, and shows up again in later chapters. Here are the most important ones, all ready for quick revision:

Exercise 1.6 asks you to look at adding counting numbers, adding odd numbers, and adding even numbers, then spot what the totals tell you. Adding the first n counting numbers gives triangular numbers (1, 3, 6, 10, 15). Adding the first n odd numbers always gives a perfect square (1, 4, 9, 16, 25). Adding the first n even numbers gives rectangular numbers (2, 6, 12, 20, 30). These sequences appear in a table so students see how one sequence relates to another at a glance.

This is the first time Class 6 students meet the idea that different sequences can sit inside a table and point at the same number rule. It's also the foundation for later chapters on squares, square roots, and arithmetic progressions.

Ganita Prakash doesn't just talk about numbers. It points at calendars, trains, cars, planes, phones, computers, bicycles and TVs — objects you see every day — to show that patterns are everywhere. The days of the week repeat in a cycle of 7. The carriages of a train line up in a sequence. The wheels on a bicycle repeat every rotation. Even how democracy, bridges and houses are built relies on repeating structures. Spotting these real-world patterns is what makes the chapter click for most students.

Every question from Exercises 1.1 to 1.6 of Ganita Prakash Class 6 has a step-by-step solution on SparkEd. Solutions explain the rule for a pattern, show it with a picture, and work through the answer without skipping steps. If a question feels hard, Spark Coach can walk you through the same question with hints — you find the answer yourself.