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Chapter 9 of 14
Syllabus

Number Play — Syllabus

CBSE · Class 8 · Mathematics

What Number Play covers in CBSE Class 8 Mathematics: 4 topics, for the 2026-27 session. Part of the CBSE Class 8 Mathematics syllabus.

69 questions70 flashcards10 formulas & key relations5 concepts

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4 Topics · CBSE Class 8 Mathematics · 2026-27

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

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Frequently Asked Questions

What are the important topics in Number Play for CBSE Class 8 Mathematics?
Key topics in Number Play include Sums of Consecutive Numbers, Parity in Expressions with Plus and Minus, When Two Even Numbers Give a Multiple of 4, Divisibility by 10, 9, 3, and 11. Study these first, then practise questions on each for Class 8 exams.
How should I revise Number Play for Class 8 exams?
Learn the core ideas first, then work through the 69 practice questions on Number Play. Revise 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 CBSE Class 8 Mathematics Syllabus

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