Finding Common Ground — Important Questions
CBSE · Class 7 · Mathematics
54 important questions from Finding Common Ground for CBSE Class 7 Mathematics, with answers. Part of the CBSE Class 7 Mathematics syllabus.
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Important Questions from Finding Common Ground
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.
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.
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.
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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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.
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