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Revision Notes

A Square and A Cube

CBSE · Class 8 · Mathematics

Quick revision notes for A Square and A Cube — CBSE Class 8 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

52 questions72 flashcards5 concepts

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Key Topics to Revise

1

1. Locker Puzzle and Square Numbers

  • A locker toggled an odd number of times ends up open; otherwise it ends up closed.
  • The number of times a locker is toggled equals the number of factors of the locker number.
  • Every factor of a number has a partner factor whose product with it gives the number.
2

2. Properties of Perfect Squares

  • The squares of natural numbers are called perfect squares.
  • Perfect squares include 1, 4, 9, 16, 25, and so on.
  • Squares can have units digits 0, 1, 4, 5, 6, or 9 only, never 2, 3, 7, or 8.
3

3. Pattern of Squares from Odd Numbers

  • The difference between consecutive squares forms the sequence of odd numbers.
  • The sum of the first n odd numbers equals n squared.
  • Every square is a sum of successive odd numbers starting from 1.
4

4. Cubes and Cube Numbers

  • A cube is a solid figure all of whose sides meet at right angles and are equal.
  • Cube numbers are formed by multiplying a number by itself three times.
  • Squares and cubes can be computed for fractions, decimals, and negative numbers.

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Full Notes

Key Concepts

A number that can be writtenA locker toggled an odd numberThe lockers left open areSquares can have units digits 0The difference between consecutive squares forms

Frequently Asked Questions

What are the important topics in A Square and A Cube for CBSE Class 8 Mathematics?
A Square and A Cube 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 A Square and A Cube — CBSE Class 8 Mathematics?
Understand the core concepts first, then work through the 52 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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