Finding Common Ground — Study Plan
CBSE · Class 7 · Mathematics
A step-by-step study plan for Finding Common Ground, CBSE Class 7 Mathematics: what to learn first, what to practise and when to revise.
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Study Plan
Learn the Theory
Read the textbook chapter carefully. Note down definitions, formulas and key ideas. Focus on: 1. HCF: Highest Common Factor, 2. Prime Factorisation and the Division Method, 3. LCM: Lowest Common Multiple.
Practise
Solve the textbook exercises and extra practice questions. There are 54 questions available for this chapter.
Revise & Test
Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.
Spaced Revision
Come back to Finding Common Ground after a week. Use flashcards for quick recall and try past exam questions on this chapter.
What to Focus On
- HCF means the greatest common factor.
- HCF and GCD mean the same thing.
- The largest square tile that fits both dimensions of a rectangle uses the HCF of the two lengths.
- A prime has exactly two factors: 1 and itself.
- Prime factorisation writes a number as a product of primes.
- The division method is a stepwise way to find prime factorisation.
- All factors can be built from the prime factors.
- Every subpart of the prime factorisation gives a factor.
- 1 is always a factor.
Common Mistakes to Avoid
The largest common factor is always the smaller number in the pair.
Any number that is a common factor can be called the HCF.
To find HCF using prime factorisation, the highest powers of common primes should be taken.
Memory Tips
HCF definition
LCM definition
Factors of 12 and 16
Sameeksha tile problem
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Finding Common Ground
Practice Quiz
Test yourself with a quick quiz
Important Questions
Exam-style questions with answers
Revision Notes
Key points for last-minute revision
Formula Sheet
The chapter's formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
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