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Practice Quiz

Finding Common Ground

CBSE · Class 7 · Mathematics

Practice quiz for Finding Common Ground — CBSE Class 7 Mathematics. MCQs and questions with answers to test your preparation.

54 questions70 flashcards5 concepts

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Quick Quiz: Finding Common Ground

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1

Find the HCF of 630 and 770 after dividing both numbers by 10 and then by 7.

2

Find the LCM of 630 and 770 using the shortcut method that divides both numbers by 10 and then by 7.

3

A room is 12 ft by 16 ft. If square tiles of side 4 ft are used, how many tiles are needed to cover the floor?

4

Lekhana has 84 kg of rice and 108 kg of rice. If equal-weight bags are made using the greatest possible whole-number weight, how many bags are needed in total?

54 Questions·
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Sample Questions

1multiple choice
3 marks

Find the HCF of 96 and 275 using prime factorisation.

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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.

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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.

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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.

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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.

Sources & Official References

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

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