Class 8 Maths — Chapter 5: Number Play

Chapter 5: Number Play is a chapter in Class 8 Maths (Ganita Prakash), part of the CBSE NCERT curriculum followed by over 25 million students across India. This chapter covers 7 topics including Parity of Numbers, Parity in Expressions, Generalization using Algebra. BrainWeave provides free AI-powered explanations — by voice or text, in Hindi or English — with no signup required.

Get Instant Solutions from AI Tutor → Read Chapter Summary

What you'll learn

▸Parity of NumbersCore concept

parityevenoddsumdifference
▸Parity in ExpressionsCore concept

algebraic expressioneven numberparityinteger valuesjustification
▸Generalization using Algebra

generalizationalgebravariablesproofpattern
▸Factoring for Parity ProofsCore concept

factoreven numberalgebraic proofexpressionmultiple of 2
▸Divisibility by 4Core concept

divisibilitymultiple of 4remaindereven numberssum
▸Algebraic Representation of Number TypesCore concept

algebraic representationmultipleremaindergeneral form4p
▸Properties of Factors and MultiplesCore concept

factormultipledivisibilitysumalways true

Chapter Summary

Understand the concept of parity (even or odd) and the rules for how parity behaves under addition and subtraction (e.g., odd ± odd = even, odd ± even = odd, even ± even = even).

Determine whether an arithmetic or algebraic expression will always result in an even number by analyzing its components and structure, without necessarily calculating the final value.

Use variables to represent general cases of numbers (e.g., four consecutive numbers) to investigate, explain, and prove observed patterns and properties.

Justify why an algebraic expression is always even by showing that 2 is a factor. For example, rewriting 4m + 2q as 2(2m + q) to prove it is always even.

Classify even numbers into two types based on their remainder when divided by 4 (multiples of 4, and non-multiples of 4) and understand the conditions under which their sum is divisible by 4.

Represent different types of numbers using algebraic forms, such as 4p for a multiple of 4, or 4q+2 for an even number that leaves a remainder of 2 when divided by 4, in order to prove their properties.

Analyze statements about divisibility to determine if they are always, sometimes, or never true. For example, understanding that if a number exactly divides two separate numbers, it must also divide their sum.

Practice Questions from this Chapter

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

Explain algebraic parity proofs. Get Solution →
Generate more consecutive sums. Get Solution →
Quiz me on number properties. Get Solution →
According to the text, how many different expressions are possible when placing '+' and '−' signs between 4 consecutive numbers? Get Solution →
What is the result of `odd ± odd` according to the parity rules listed in the chapter? Get Solution →
The text explains that even numbers can be of two types based on the remainder they leave when divided by what number? Get Solution →
In the expression `a + b − c − d`, if you replace `+b` with `−b`, by how much does the value of the expression change? Get Solution →
According to the text, if M and N are multiples of a, what can be said about their sum, M + N? Get Solution →

Did you know?

💡 The number 2 is the only even number that is also a prime number.
💡 Zero is an even number, but it is neither positive nor negative.
💡 The sum of any three consecutive numbers is always perfectly divisible by three.
💡 Many ancient civilizations, like the Babylonians, used a base-60 number system.
💡 The number one is the only natural number that is neither prime nor composite.

Frequently Asked Questions

How many topics are covered in this chapter?

This chapter covers 7 key topics: Parity of Numbers, Parity in Expressions, Generalization using Algebra, Factoring for Parity Proofs, Divisibility by 4, and more. The BrainWeave AI tutor explains each one with examples.

Is Chapter 5: Number Play important for board exams?

Class 8 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 8?

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 5: Number Play, and the AI tutor will explain it back in voice and text.

How is BrainWeave better than static NCERT solutions sites?

Static solution sites give the same answer to everyone. BrainWeave adapts to your question — ask "explain like I'm 12" or "give a real-world example" and get a personalized response. Voice mode and Hindi support work seamlessly.

Related Chapters

Chapter 4: QUADRILATERALS

Chapter 6: We Distribute, Yet Things Multiply

Chapter 2: Power Play

Chapter 3: A Story of Numbers

Chapter 1: A SQUARE AND A CUBE

Chapter 7: Proportional Reasoning

Ask Any Question About Chapter 5: Number Play

Voice or text. Hindi or English. Free to start. No signup required.

Start Now →