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Concept Maps

Playing With Numbers — Concept Maps

ICSE · Class 8 · Mathematics

4 concept maps of Playing With Numbers for ICSE Class 8 Mathematics, each also written out as a text outline. Maps: Playing With Numbers – Complete.

36 questions34 flashcards6 formulas & key relations5 concepts

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4 Concept Maps

Playing With Numbers – Complete Chapter Overview

Playing With Numbers – Complete Chapter Overview

The map in words

  • Playing With Numbers
    • Generalised Form
      • Two-digit ab
        • ab = 10a + b
        • ba = 10b + a
      • Three-digit abc
        • abc = 100a + 10b + c
        • bca = 100b + 10c + a
        • cab = 100c + 10a + b
    • Interesting Properties
      • Property 1 Sum
        • ab + ba = 11 times a+b
        • Divisible by 11
        • Divisible by a+b
      • Property 2 Difference
        • ab minus ba = 9 times a-b
        • Divisible by 9
        • Divisible by a-b
      • Property 3 Cyclic Sum
        • abc+bca+cab = 111 times a+b+c
        • Divisible by 111
        • Divisible by a+b+c
    • Cryptarithmetics
      • Letters replace digits
      • Start from units column
      • Track carry carefully
      • Verify answer
    • Tests of Divisibility
      • By 2 Even unit digit
      • By 3 Digit sum div by 3
      • By 4 Last two digits div by 4
      • By 5 Unit digit 0 or 5
      • By 6 Divisible by 2 and 3
      • By 7 Double subtract repeat
      • By 9 Digit sum div by 9
      • By 10 Unit digit is 0
      • By 11 Alternating digit sum diff

Playing With Numbers – Complete Chapter Overview

Playing With Numbers – Complete Chapter Overview

The map in words

  • Playing With Numbers
    • Generalised Form
      • Two Digit Number
        • ab = 10a + b
        • Reverse ba = 10b + a
      • Three Digit Number
        • abc = 100a + 10b + c
        • Cyclic bca and cab
    • Interesting Properties
      • Property 1 Sum
        • ab + ba = 11 times a+b
        • Divisible by 11
        • Divisible by a+b
      • Property 2 Difference
        • ab minus ba = 9 times a-b
        • Divisible by 9
        • Divisible by a-b
      • Property 3 Cyclic Sum
        • abc+bca+cab = 111 times a+b+c
        • Divisible by 111
        • Divisible by a+b+c
    • Cryptarithmetics
      • Letters replace digits
      • Solve from units column
      • Carry forward rule
      • Verify all columns
    • Tests of Divisibility
      • By 2 Even unit digit
      • By 3 Digit sum div by 3
      • By 4 Last two digits div by 4
      • By 5 Unit digit 0 or 5
      • By 6 Divisible by 2 and 3
      • By 7 Double last subtract
      • By 9 Digit sum div by 9
      • By 10 Unit digit is 0
      • By 11 Alternating digit sum

Step-by-step process of converting a number to its generalized form

Step-by-step process of converting a number to its generalized form

The map in words

  • Number: 345
    • Identify each digit
      • 3 is in hundreds place
        • 3 × 100 = 300
          • Add all parts
            • 345 = 300 + 40 + 5
      • 4 is in tens place
        • 4 × 10 = 40
      • 5 is in units place
        • 5 × 1 = 5

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

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

The map in words

  • Using digit place values, divisibility rules, and letter-based number puzzles to understand patterns in numbers
    • Generalized form of numbers
    • Two-digit numbers
    • Three-digit numbers
    • Property 1
    • Property 2
    • Property 3
    • Cryptarithm
    • Divisibility by 10

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Frequently Asked Questions

What are the important topics in Playing With Numbers for ICSE Class 8 Mathematics?
Key topics in Playing With Numbers include Generalized Form and Place Value, Properties of Reversed Numbers and Cyclic Numbers, Cryptarithms, Divisibility Tests. Study these first, then practise questions on each for Class 8 exams.
What do the concept maps for Playing With Numbers show?
The 4 maps show how the ideas in Playing With Numbers connect: Playing With Numbers – Complete Chapter Overview; Playing With Numbers – Complete Chapter Overview. Each map is also written out as an outline on this page.
How should I revise Playing With Numbers for Class 8 exams?
Learn the core ideas first, then work through the 36 practice questions on Playing With Numbers. 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 Playing With Numbers

All ICSE Class 8 Mathematics Concept Maps

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