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Important Questions

Finding Common Ground

CBSE · Class 7 · Mathematics

Most important questions from Finding Common Ground for CBSE Class 7 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

54 questions70 flashcards5 concepts

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54 Questions·
multiple choicemultiple correcttrue false

Sample Questions

1multiple choice
3 marks

Find the HCF of 96 and 275 using prime factorisation.

Show answer

1

Step 1: Factorise 96 = 2 × 2 × 2 × 2 × 2 × 3. Step 2: Factorise 275 = 5 × 5 × 11. Step 3: There are no common prime factors. Step 4: When there is no common prime factor, the HCF is 1.

2multiple choice
3 marks

Find the LCM of 96 and 360 using prime factorisation.

Show answer

1440

Step 1: 96 = 2 × 2 × 2 × 2 × 2 × 3. Step 2: 360 = 2 × 2 × 2 × 3 × 3 × 5. Step 3: Take every prime factor with the maximum number of occurrences. Step 4: LCM = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 = 1440.

3multiple choice
3 marks

Find the HCF of 30 and 72 from their prime factorisations 30 = 2 × 3 × 5 and 72 = 2 × 2 × 2 × 3 × 3.

Show answer

6

Step 1: Common primes are 2 and 3. Step 2: Take the minimum count of each common prime. Step 3: HCF = 2 × 3 = 6.

4multiple choice
3 marks

Find the HCF of 225 and 750 using prime factorisation.

Show answer

75

Step 1: 225 = 3 × 3 × 5 × 5. Step 2: 750 = 2 × 3 × 5 × 5 × 5. Step 3: Common primes are 3, 5, and 5. Step 4: HCF = 3 × 5 × 5 = 75.

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Frequently Asked Questions

What are the important topics in Finding Common Ground for CBSE Class 7 Mathematics?
Finding Common Ground covers several key topics that are frequently asked in CBSE Class 7 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Finding Common Ground — CBSE Class 7 Mathematics?
Understand the core concepts first, then work through the 54 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Finding Common Ground?
There are 54 practice questions available for Finding Common Ground. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All 15 chapters — CBSE Class 7 Mathematics Important Questions

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