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A Square and A Cube — Revision Notes

CBSE · Class 8 · Mathematics

A Square and A Cube revision notes for CBSE Class 8 Mathematics: 4 topics in quick points. Part of the CBSE Class 8 Mathematics syllabus.

52 questions72 flashcards9 formulas & key relations5 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?
Key topics in A Square and A Cube include Locker Puzzle and Square Numbers, Properties of Perfect Squares, Pattern of Squares from Odd Numbers, Cubes and Cube Numbers. Study these first, then practise questions on each for Class 8 exams.
How should I revise A Square and A Cube for Class 8 exams?
Learn the core ideas first, then work through the 52 practice questions on A Square and A Cube. 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.

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All CBSE Class 8 Mathematics Revision Notes

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