Class 7 Mathematics — Chapter 6: NUMBER PLAY

Chapter 6: NUMBER PLAY is a chapter in Class 7 Mathematics (Ganita Prakash Part 1), part of the CBSE NCERT curriculum followed by over 25 million students across India. This chapter covers 8 topics including Logical Reasoning with Number Sequences, Parity of Numbers (Even and Odd), Arithmetic with Parity. BrainWeave provides free AI-powered explanations — by voice or text, in Hindi or English — with no signup required.

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What you'll learn

▸Logical Reasoning with Number Sequences

rulesequencereasoningpuzzlelogic
▸Parity of Numbers (Even and Odd)Core concept

parityevenoddpairsdivisibility
▸Arithmetic with ParityCore concept

sumdifferenceproductevenodd
▸Problem Solving using ParityCore concept

logic puzzleword problemconsecutive numbersreasoningparity
▸General Formulas for Even and Odd NumbersCore concept

nth termformulasequence2n2n-1
▸Parity of Algebraic Expressions

algebraic expressionvariableparitygeneralizationformula
▸Number Grid Puzzles

gridrow sumcolumn sumconstraintspuzzle
▸Magic Squares

magic squaremagic sumdiagonalgridsum

Chapter Summary

Students learn to interpret and apply a given rule to a sequence of numbers and use logical reasoning to determine the validity of statements based on that rule.

Understanding the fundamental property of integers being either even (divisible by 2, can be arranged in pairs) or odd (leaves a remainder of 1 when divided by 2). This property is known as parity.

Determining the parity (even or odd) of the result of arithmetic operations like addition, subtraction, and multiplication involving combinations of even and odd numbers (e.g., odd + odd = even, even x odd = even).

Applying the rules of parity to analyze and solve logic puzzles and word problems, often to determine if a solution is possible without performing exhaustive calculations.

Understanding and using the general algebraic formulas for the nth even number (2n) and the nth odd number (2n - 1) to find any term in these sequences.

Analyzing an algebraic expression (e.g., 3n + 4) to determine if its value is always even, always odd, or can be either, depending on the parity of the variable 'n'.

Solving puzzles that involve filling a grid with a unique set of numbers (e.g., 1-9) to satisfy given row and column sums, and understanding the logical constraints of such puzzles.

Defining a magic square as a grid where the sum of each row, column, and main diagonal is the same number, known as the 'magic sum'.

Practice Questions from this Chapter

Tap "Get Solution" on any question to ask our AI tutor.

Explain why zero is an even number. Get Solution →
Show examples of number patterns in nature. Get Solution →
Quiz me on even and odd numbers. Get Solution →
In the 'Number Play' game described in the chapter, what rule do the children use to call out their numbers? Get Solution →
According to the 'Number Play' game rules, what number must the first person in line always say? Get Solution →
What is the term used in the text to denote the property of a number being even or odd? Get Solution →
According to the pictorial proofs in the chapter, what is the parity of the sum of two odd numbers? Get Solution →
What is the resulting parity when you add an even number and an odd number together? Get Solution →

Did you know?

💡 The number zero was not invented until thousands of years after other numbers.
💡 Prime numbers, except for two, are always odd and help secure online data.
💡 The Fibonacci sequence describes patterns found in petals, shells, and hurricanes.
💡 Ancient Babylonians used a base-60 number system, unlike our familiar base-10.
💡 The sum of any two consecutive numbers is always an odd number.

Frequently Asked Questions

How many topics are covered in this chapter?

This chapter covers 8 key topics: Logical Reasoning with Number Sequences, Parity of Numbers (Even and Odd), Arithmetic with Parity, Problem Solving using Parity, General Formulas for Even and Odd Numbers, and more. The BrainWeave AI tutor explains each one with examples.

Is Chapter 6: NUMBER PLAY important for board exams?

Class 7 is a foundation year. Mastering this chapter now will help you build strong fundamentals for the higher classes.

Can I get NCERT solutions for this chapter in Hindi?

Yes. BrainWeave's AI tutor supports Hindi, English, and Hinglish for both voice and text chat. Just ask your question in your preferred language.

Is BrainWeave free for Class 7?

Yes. BrainWeave's free Spark plan gives generous daily messages — enough for regular homework. Premium features unlock when you bring your own free Google Gemini API key.

Can I use voice chat for this chapter?

Absolutely. Tap the mic, ask any question about Chapter 6: NUMBER PLAY, and the AI tutor will explain it back in voice and text.

How is BrainWeave better than static NCERT solutions sites?

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Related Chapters

Chapter 5: Parallel and Intersecting Lines

Chapter 7: A Tale of Three Intersecting Lines

Chapter 2: ARITHMETIC EXPRESSIONS

Chapter 8: WORKING WITH FRACTIONS

Chapter 1: LARGE NUMBERS AROUND US

Chapter 3: A Peek Beyond the Point

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