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Number Play

CBSE · Class 8 · Mathematics

Complete topic list for Number Play in CBSE Class 8 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

45 questions24 flashcards5 concepts

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4 Topics · CBSE Class 8 Mathematics

Topics in Number Play

1

Sum of Consecutive Numbers and Parity

  • Every natural number can be written as a sum of consecutive numbers in at least one way
  • When 4 consecutive numbers are combined with + and - signs in any way, all 8 expressions have the same parity (all even or all odd)
  • Parity rules: odd ± odd = even, even ± even = even, odd ± even = odd
2

Even Numbers and Multiples of 4

  • Even numbers are either multiples of 4 (remainder 0) or leave remainder 2 when divided by 4
  • Sum of two multiples of 4 is always a multiple of 4
  • Sum of two even numbers (not multiples of 4) is always a multiple of 4
3

Divisibility Rules and Properties

  • If a divides M and N separately, then a divides M+N and M-N
  • If A is divisible by k, then all multiples of A are divisible by k
  • If A is divisible by k, then A is divisible by all factors of k
4

Remainders and Modular Arithmetic

  • Numbers leaving remainder r when divided by n can be expressed as nk + r
  • Alternative expressions like nk - s (where r + s = n) represent the same set
  • Remainder patterns help solve complex number problems

Key Concepts

Any natural number can be writtenEven ± even = evenA number is divisible by 10A number is divisible by 9A number is divisible by 11

Frequently Asked Questions

What are the important topics in Number Play for CBSE Class 8 Mathematics?
Number Play covers several key topics that are frequently asked in CBSE Class 8 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Number Play — CBSE Class 8 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Number Play

All 7 chapters — CBSE Class 8 Mathematics Syllabus

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