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Chapter 9 of 14
Syllabus

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.

69 questions70 flashcards5 concepts

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4 Topics · CBSE Class 8 Mathematics

Topics in Number Play

1

Sums of Consecutive Numbers

  • A natural number can sometimes be written as a sum of consecutive numbers in more than one way.
  • Examples include 7 = 3 + 4, 10 = 1 + 2 + 3 + 4, 12 = 3 + 4 + 5, and 15 = 7 + 8 = 4 + 5 + 6 = 1 + 2 + 3 + 4 + 5.
  • Odd numbers can be written as a sum of two consecutive numbers.
2

Parity in Expressions with Plus and Minus

  • All expressions formed from four numbers using + and - signs have the same parity.
  • If one sign is switched, the value changes by an even number.
  • This means all the expressions a ± b ± c ± d have the same parity.
3

When Two Even Numbers Give a Multiple of 4

  • Adding two multiples of 4 always gives a multiple of 4.
  • Adding two even numbers that are not multiples of 4 also gives a multiple of 4.
  • The two important forms are 4p and 4q, and (4p + 2) and (4q + 2).
4

Divisibility by 10, 9, 3, and 11

  • A number is divisible by 10 if and only if its units digit is 0.
  • Every place value except the units place is a multiple of 10.
  • A number is divisible by 9 if the sum of its digits is divisible by 9.

Key Concepts

Central concept: Number Play

Sums of Consecutive NumbersParity in ExpressionsMultiple of 4 RulesDivisibility by 10, 9, 3, and 11Digital Root and ChecksCryptarithmsRemainders in Number Patterns

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 69 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.

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Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for CBSE Class 8 Mathematics.