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Chapter 6 of 15
Practice Quiz

Finding Common Ground — Practice Quiz

CBSE · Class 7 · Mathematics

Try a 4-question quiz on Finding Common Ground for CBSE Class 7 Mathematics: tap an answer to check it and see why. 54 questions in the full chapter test.

54 questions70 flashcards9 formulas & key relations5 concepts

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Quick Quiz: Finding Common Ground

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

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·
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?
Key topics in Finding Common Ground include HCF: Highest Common Factor, Prime Factorisation and the Division Method, LCM: Lowest Common Multiple, Patterns, General Statements, and Special Properties. Study these first, then practise questions on each for Class 7 exams.
How many practice questions are there for Finding Common Ground?
There are 54 questions on Finding Common Ground. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

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

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