Skip to main content
Super TutorResources
Chapter 1 of 14
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Study Plan

A Square and A Cube

CBSE · Class 8 · Mathematics

Step-by-step guide to study A Square and A Cube in CBSE Class 8 Mathematics. Topics to cover, practice strategy, and time allocation.

52 questions72 flashcards5 concepts

Interactive on Super Tutor

Studying A Square and A Cube? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for study plan and more.

Try Super Tutor — Free

1,000+ Class 8 students started this chapter today

Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas, and key concepts.

2
Day 3

Practice Problems

Solve textbook exercises and additional practice questions. There are 52 questions available for this chapter.

3
Day 4

Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding. Mark weak areas for re-revision.

4
Day 7

Spaced Revision

Revisit A Square and A Cube after a week. Use flashcards for quick recall. Solve previous year questions from this chapter.

What to Focus On

  • A locker toggled an odd number of times ends open.
  • A locker toggled an even number of times ends closed.
  • The number of toggles equals the number of factors of the locker number.

  • Square notation: n × n = n².
  • Perfect squares are squares of natural numbers.
  • Squares can represent area of square figures.

  • Squares can end only in 0, 1, 4, 5, 6, or 9.
  • Numbers ending in 2, 3, 7, or 8 are not squares.
  • A square ending in 1 or 9 has a square ending in 1.

Common Mistakes to Avoid

A locker stays open if it is toggled an even number of times.

The lockers left open are the prime numbers.

A number with an even number of factors is a square.

Memory Tips

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

Squares are the only numbers with an odd number of factors because one factor pairs with itself

The passcode derived from the puzzle is 2-3-5-7-11

Want a personalised study plan?

Super Tutor creates a day-by-day plan for CBSE Class 8 Mathematics that adapts to your exam date and pace.

Create My Study Plan — Free

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.

More resources for A Square and A Cube

All 14 chapters — CBSE Class 8 Mathematics Study Plan

For serious students

Get the full A Square and A Cube chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for CBSE Class 8 Mathematics.

Try Super Tutor Free
Try the full chapter — Free