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Playing With Numbers

ICSE · Class 8 · Mathematics

Complete topic list for Playing With Numbers in ICSE Class 8 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

36 questions34 flashcards5 concepts

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4 Topics · ICSE Class 8 Mathematics

Topics in Playing With Numbers

1

1. Generalized Form and Place Value

  • A number in generalized form is written as the sum of products of each digit with its place value.
  • Place value shows the value of a digit according to its position in the number.
  • For 3479, the generalized form is 3 × 1000 + 4 × 100 + 7 × 10 + 9 × 1.
2

2. Properties of Reversed Numbers and Cyclic Numbers

  • When the digits of a two-digit number are reversed, the new number is ba.
  • Property 1: The sum of ab and ba is divisible by 11 and by a + b.
  • Property 2: The difference between ab and ba is divisible by 9 and by the difference of the digits.
3

3. Cryptarithms

  • Cryptarithm is a type of mathematical game consisting of numbers whose digits are represented by letters.
  • The task is to identify the value of each letter.
  • Digit restrictions are important: every letter must represent a single digit from 0 to 9.
4

4. Divisibility Tests

  • Divisibility by 10: a number is divisible by 10 if its unit digit is zero.
  • Divisibility by 5: a number is divisible by 5 if its unit digit is 0 or 5.
  • Divisibility by 2: a number is divisible by 2 if its unit digit is zero or an even number.

Key Concepts

Central concept: Using digit place values, divisibility rules, and letter-based number puzzles to understand patterns in numbers

Generalized form of numbersTwo-digit numbersThree-digit numbersProperty 1Property 2Property 3CryptarithmDivisibility by 10

Frequently Asked Questions

What are the important topics in Playing With Numbers for ICSE Class 8 Mathematics?
Key topics in Playing With Numbers include Playing With Numbers – Complete Chapter Overview, Playing With Numbers – Complete Chapter Overview, Step-by-step process of converting a number to its generalized form. These are the concepts ICSE Class 8 examiners draw on most — study them first, then practise related questions.
How to score full marks in Playing With Numbers — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 36 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 Playing With Numbers

All 25 chapters — ICSE Class 8 Mathematics Syllabus

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